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18 March 2013 | Draft

Psychosocial Implication in Gamma Animation

Epimemetics for a Brave New World

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Introduction
Current genetic concerns as a metaphor for current memetic realities
Divisive caricatures of complex psychosocial processes
Fourfold generic visual pattern of psychosocial dynamics
Reframing the scope for creative gamma animation
Genetic patterns as an indicative template for memetic patterns
Requisite confusion to engender an elusive functional literacy?
Epimemetics, biomimetics, epimimetics and biomemetics
Fruitful gamma resonance within a pattern of mnemonic associations?
Gamma as change in the rate of change of value
Unsustained awareness implied by gamma inversion
Relational insight dynamics in terms of a "gamma" perspective
Extending the alphabet and its representation?
Conclusion
References

Introduction

The much cited novel by Aldous Huxley (Brave New World, 1931) is recognized as having anticipated many more recent problematic developments in society and its technologies. Huxley developed the argument in subsequent publications (Brave New World Revisited, 1958; Island, 1962). It is notably valued for its social criticism and for the implications of the distinction it makes between social castes: Alphas, Betas, Gammas, Deltas, and Epsilons. At the top of the caste system, Alphas and Betas perform the more intellectual jobs. Unlike the lower castes, they are not clones, allowing for more individual personalities. The lower three castes do more menial and standardized work and are usually clones. A "?savage" was outside the integrated portions of society and its classes.

As social satire, the novel envisages a world in which the population of Gammas, and the lower castes, is deliberately accelerated by genetic engineering -- consistent with continuing approaches to unconstrained population increase. The ever increasing inequalities between the well-endowed and the underprivileged of the novel are echoed in current concerns regarding the "1%", as highlighted by the Occupy Movement (slogan: We are the 99%) and continuing social unrest. The fundamental issues have been articulated by Stèphane Hessel (Time for Outrage! 2011). The outcome of the protest has been analyzed by Noam Chomsky (Occupy, 2012), itself reviewed by Maria Popova (Occupy: Noam Chomsky's Guide to the History and Practice of Protest, Brain Pickings, May 2012)

The concern in what follows is to consider the possibility of "Gamma animation", reframed by aesthetic licence to provide catalytic mnemonic associations for more fruitful critical thinking regarding divisive processes in society and the possibilities they represent. A particular concern is the widespread tendency to exclusivism and demonisation, to assertions of what is deemed right from a particular perspective and a rejection (as dangerous) of alternative views variously promoted by others.

Huxley's articulation of society into castes through genetic engineering (in the novel) is seen here as already well advanced -- but in terms of memetic engineering (Alex Burns, Memetic Engineering, Disinformation, 15 May 2001). Aspects of the process have again been analyzed by Noam Chomsky (Manufacturing Consent: the political economy of the mass media (1988), co-written with Edward S. Herman.

The aesthetic licence is exploited here through animated depictions of a stylized variant of the Greek letter Gamma within a framework juxtaposing supposedly incommensurable attitudes. Allusion is also made to the role of both gamma brain waves and to gamma radiation as intimating the more fundamental consequences of more radical critical thinking for a psychosocial system in crisis -- partially consequent on questionable attention to gamma in financial trading. Reference is also made to the cognitive implications of rituals of calligraphy in sacred languages -- using gamma as one example, but with suggestions regarding the psychosocial implications of other letters, to be potentially understood as the basis of an "enwholing language" relevant to that crisis.

Current genetic concerns as a metaphor for current memetic realities

Brave New World is a widely read novel on which many university students have been required to write term papers. The problematic psychosocial implications of the genetic policies of the "world state", as described by the novel, have long been the subject of commentary -- anticipating as they do so many emergent processes of globalization and its governance. Less evident, and in a variety of guises, a degree of psychological manipulation and operant conditioning, featuring in the novel, have already combined to profoundly change society.

The dilemmas posed by genetics, as highlighted by the novel, are a matter of current debate. Despite the associated controversies, the genetic issues discussed by some are "safely" disassociated from the potential psychosocial consequences, as explored by Huxley. As noted by Emily Anthes (Frankenstein's Cat: cuddling up to biotech's Brave New Beasts, Scientific American, 2013):

One lab in China is even tackling the human genome by way of the mouse genome. There, researchers are randomly disabling mouse genes one at a time, in order to identify the function of each gene. By essentially throwing darts at a genetic dartboard to see what happens, the researchers have filled 45,000 mouse cages with mutant mice.

Huxley's novel has however been used to clarify the debate on genetic implications by Valerie Hartouni (Brave New World in the Discourses of Reproductive and Genetic Technologies, 1993) within the context of a compilation by Jane Bennett (In the Nature of Things: Language, Politics, and the Environment, 1993). Hartouni notes:

Huxley's vision seems to have become a means of extending our own, of seeing or imagining ourselves beyond the present (historical) frame, concretely situated in a future that certainly looks "real", even if it is not yet realized, that is also known, and that, being both "real" and "known", is within our power to control. From the vantage point the text provides... a base map from which contemporary thought and imagination confidently took its bearings. Out of the technoculture of one age he is said to have drawn, in astonishingly accurate detail, the contours of another, not yet our own perhaps, but similar enough in the wake of radically new and expanding biotechnical possibilities as to be both its maps and measure (pp. 86-87)

Hartouni explicitly sets out to offer a reading of the place the novel holds "both in popular debate and across the range of contending literatures concerned with the development and deployment of new reproductive and genetic technique" (p. 87). However no attention is given to the possibility that these genetic techniques might constitute an (unconscious) metaphor of the current reality regarding the development and deployment of new reproductive and memetic techniques. From this perspective Hartouni's arguments, and her reading of Huxley, can be "re-read" through a metaphorical transformation. From that perspective, her following remarks can then be read otherwise:

The primary feature of life in the twenty-first century, as Huxley imagines it, is its one-dimensionality: totalitarian rule by a "world-state" that maintains itself not through brute force, but through the therapeutic control of the minds, bodies, desires, and judgments of its members. Indeed, in this new order, the state has seized control of the means of reproduction and, according to Huxley, finally joined to it the principle of mass production. All the essential choices have been made: humans are objects of design, ecto-genetically produced as needed and to precise requirements, in standardized, uniform batches. Each member is a sterile, stabilized part of a sterile, stable whole, predestined biologically as well as socially, engineered according to a particular set of of technical specifications for a particular set of social purposes, and conditioned physiologically as well as psychologically "to like their inescapable social destiny". (p. 90)

Through a memetic frame, it can be argued that humanity is already characterized by Hartouni's reading:

While stunted physiologically and psychologically, members of the select Alpha class are nevertheless capable of making choices and assuming responsibilities, they possess the last vestiges of humanity, of distinctly "human" yearning and, for Huxley clearly, distinctly "human" possibility. Gammas, Deltas, and Epsilons, by contrast, are made up of genetically reduced beings, "deliberately bred downward or backward on the evolutionary scale". (p. 91).

This is consistent with the widespread current concern regarding "dumbing down" within the media and educational systems, notably universities. Following an extensive discussion of human rights and governance in relation to the genetic issues -- and with no mention of any memetic interpretation -- Hartouni then usefully concludes:

The question confronting us now is not whether we should alter our identities and the identities of the many communities we occupy: The question about these incessantly fluid configurations is "how", "in what ways and combinations", and "subject to what conditions"? What sort of people(s) and society are we and are "we" likely to become, should we become that sort of people(s) and society, and how do "we", whoever and however "we" are and are configured, individually and collectively, decide? (p. 106-107)

Divisive caricatures of complex psychosocial processes

Politics is characterised by distinctions between "government" and the "opposition", notably between "left" and "right" -- with all these imply regarding "agreement" and "disagreement" in relation to governability (Ungovernability of Sustainable Global Democracy? 2011). Much controversy surrounds the distinction between "science" and "religion", between "development" and "environment", or between "male" and "female". Such controversies are evident with regard to ethnic groups, especially in the case of the Middle East. The question is whether there is a way of reframing such simplistic distinctions, as previously argued (Transcending Simplistic Binary Contractual Relationships: what is hindering their exploration? 2012).

Fourfold distinctions: The case of "science vs. religion" was explored separately (Eliciting wholth through associating mathematics and theology, 2013), noting the remarkable review of the dimensions of the science-religion relationship offered in Wikipedia (Relationship between religion and science). It provides a typology of the kinds of interaction characteristic of the relationship between science and religion, according to physicist and theologian John Polkinghorne (Science and Theology, 1998) following earlier work (Ian G. Barbour, Nature, Human Nature, and God, 2002: John Haught, Science and Religion: from conflict to conversation, 1995):

However this fourfold articulation might itself be said to be remarkably simplistic from a mathematical perspective since it does little to recognize, or reconcile, the complex relationships implicit in this "fourfold way" of engaging with the "other". One approach suggested was to "expand" that fourfold articulation through application to the above pattern of the insight into a "quadrilemma" from an Eastern perspective, as articulated by Kinhide Mushakoji (Global Issues and Interparadigmatic Dialogue, 1988):

  From a scientific perspective From a religious perspective
Independence (ignoring any other) science religion
Conflict (defensive boundary protection) not-science not-religion
Dialogue (engagement with otherness) science and not-science religion and not-religion
Integration (transcendent reframing of relationship) neither science nor not-science neither religion nor not-religion

This approach introduces a necessary degree of paradox and uncertainty to an essentially complex relationship (cf. Garrison Sposito, Does a generalized Heisenberg Principle operate in the social sciences ? Inquiry, 1969). A related fourfold approach emphasizing the pattern as a complex cognitive system is presented separately as a diagram (Imagining the Real Challenge and Realizing the Imaginal Pathway of Sustainable Transformation, 2007).

Eightfold distinctions: The Eastern perspective on the fourfold can also be expanded in other ways through both the classic binary encoding system which inspired Leibniz and the mathematical insights of the Fibonacci series (Tao of Engagement -- Weaponised Interactions and Beyond: Fibonacci's magic carpet of games to be played for sustainable global governance, 2010).

The oversimplification of a fourfold pattern could also be highlighted by contrast, for example, with the richer articulations offered by the various "eightfold ways" -- whether of physics, of Buddhism, or of policy analysis -- especially in the light of the argument of Stephen Prothero (God Is Not One: the eight rival religions that run the world -- and why their differences matter, 2010).

Fourfold generic visual pattern of dynamic relationships

Simple visualizations can be used to relate fourfold distinctions.

From a science perspective From a religious perspective
religion
("tolerable",
but misguided)
science
(conventional
and appropriate)
unacceptable religion
("dangerous
superstition")
unacceptable "science"
("unfortunate",
regrettable behavour)
science
("tolerable",
but misguided)
religion
(conventional
and appropriate)
unacceptable science
("dangerously
unethical distortion")
unacceptable "religion"
("unfortunate",
regrettable behaviour)

Here the convention used is to attach primary conscious significance to the upper half of each table, and to the right-hand half of each table -- holding a sense of "right" and even "rectitude". The left-hand quadrants then hold a sense of the challenging and questionable -- possibly with associations to "sinister" (even "evil"), as twisted irrelevancies characteristic of the misleading alternative understanding of "others". The views on the left are then characteristic of "them" -- on the "other side of the tracks" -- in contrast with those cultivated by "us" (on the right).

Those quadrants in the lower half of each table are even more questionable (whether especially deprecated in terms of the preferences of science or of religion). They are characterized by a degree of secrecy. Those identified as "unfortunate" and "regrettable", include the scandals typical of both science and religion in which conventional science and religion are respectively complicit. It includes the "dirty tricks" typical of scientific research or the sexual abuse by clergy -- considered exceptional incidents. The preference is to handle them "internally", typically without affecting the views of those who believe in science or religion, as the case may be. These are the readily deniable activities "under the table" or "in the black" -- acknowledged condescendingly in private "with a hood and a wink" by those of "greater experience", who know "how things really work".

Activities in the lower left quadrant are most readily qualified as "criminal", calling for immediate inquiry and action, if exposed before wider audiences (and supported by incontrovertible evidence). In the case of religion they give rise to fatwas, diplomatc pressure, or excommunication. Science lacks an equivalent, although traces are evident in processes of "striking off" lists of accreditation or funding. It is from this quadrant that strategic surprises emerge as explored by Nassim Nicholas Taleb (The Black Swan: the impact of the highly improbable, 2007). He argues for a radical reconsideration of strategies in that light (Antifragile: how to live in a world we don't understand, 2012).

As the contrasting examples illustrate, if a binary political case were to be used (with respect to "right-wing" and "left-wing" factions), the comments on "right" and "left" columns in the table would continue to apply. The same would be true in the case of "male" and "female", or "Israeli" and "Arab".

Understood as a minimal framework, it is designed to hold contrasting areas of activity whose existence those in the upper left quadrant must necessarily recognize to some degree. More interesting however is to use this simple format to adapt the more general presentation of the earlier table:

From a science perspective From a religious perspective
science neither science
nor not-science
not-science both science
and not-science
religion neither religion
nor not-religion
not-religion both religion
and not-religion

This suggests a "transcendent" upper right quadrant in each case and one typical of "tolerance" in the lower right case. Neither has proven as yet to be especially fruitful of new insight.

Using Huxley's distinctions, it might be said that Alphas -- effectively as gatekeepers -- successfully monopolize control of the upper right quadrants, irrespective of the binary theme articulated by such a fourfold framework (science-religion, male-female, etc). In the case of Betas, with a vested interest in the status quo as followers of Alphas, they are primarily associated with the right-hand column in each case -- notably in the light of their role as interface with the "unfortunate behaviour" of the lower right quadrant, however this may be "arranged" under the direction of Alphas (who would not wish to be informed of it). Deltas and Epsilons navigate to the extent possible in the lower quadrants.

Reframing the scope for creative gamma animation

Despite the clarity of emerging understanding regarding genetic structure and epigenetic processes, it is only too evident that insight into psychosocial structures and processes is proving inadequate to coherent governance of society. Simply and bluntly stated, the Alphas continue vigorously to deny having made a mess of it for everyone else, and it is unclear whether the Betas will continue to be "better off". Many have called for "new thinking" as a consequence. It is only too clear that the "old thinking" is not engaging effectively with the conflicting perspectives which are endangering society.

In a speculative spirit there is therefore a case for endeavouring to "borrow" a degree of clarity from the thinking applied so assiduously to genetics, as a source of inspiration for clarity with regard to psychosocial issues. This is consistent to some degree with the approach of biomimetics (discussed below). The question is whether the degree of complexity considered necessary for an adequate comprehension of genetic information is to be found in consideration of the social processes noted in the examples cited above. Clearly it is not.

Genetics requires more complex insight, as evident from its explanation and the challenge to their comprehension. As caricatured by political dynamics, this complexity is not to be tolerated as credible. It is reduced to quarrelsome binary dynamics in which each deprecates the other, whether framed as "negative" -- or possibly even as "evil" and "demonic". The pattern as a whole may be (cynically) celebrated by all parties as "democracy".

In the light of Huxley's satire however, as echoed by the analyses of Chomsky and the like, there is a fundamental issue regarding the dynamics between Alphas, Betas, and the other classes. Rather than frame this in socioeconomic terms, there is a case for assuming that, like genes, the issue is of a more profound conceptual nature. Just as "genes" are physically invisible to most, the approach might be framed in terms of "memes", which can be assumed to be equally "invisible".

In cognitive terms, using the metaphors of optics so favoured in strategic thinking, there would seem to be an inability to bring into "focus" and "resolve" the nature of the factors engendering chaos. Using this metaphor, the optical inadequacies resulted in a case made for more powerful "cognitive instruments" by Joël de Rosnay (The Macroscope, 1979) and by a colleague (Luc de Brabandère, Le Latéroscope: systèmes et créativité, 1990).

There is a strange ability of the Alphas of today, faithfully supported by the Betas, to shuffle categories like card sharps at a casino or a local fair. Now something "exists", then it does not -- especially evidence and promises. The tendency is consistent with "casino" processes, as variously criticized (Susan Strange, Casino Capitalism, 1986; Henry Giroux, Authoritarian Politics in the Age of Casino Capitalism, CounterPunch, 27 August 2012). Patterns of categories are casually rearranged according to circumstances in order to elicit confidence -- with as much foresight as any focus on arranging the deckchairs on RMS Titanic for an evening of relaxation. The process is conceptually related to gerrymandering (Scientific Gerrymandering of Boundaries of Overpopulation Debate, 2012). Categories are treated as intellectual property in which some have a very heavy investment.

The Gammas do not necessarily have such an investment, especially when faced with existential challenges. They are however faced with the consequences of the actions of those who do -- and of their own enthusiasms and negligence. They are however free proactively to borrow from the nimbleness of the Alphas, epitomized by the cognitively liberating political philosophy of the American neocons -- as described to Ron Suskind (Without a Doubt, The New York Times, In: The Magazine, 17 October 2004):

The aide said that guys like me were "in what we call the reality-based community," which he defined as people who "believe that solutions emerge from your judicious study of discernible reality." I nodded and murmured something about enlightenment principles and empiricism. He cut me off. "That's not the way the world really works anymore," he continued. "We're an empire now, and when we act, we create our own reality. And while you're studying that reality -- judiciously, as you will -- we'll act again, creating other new realities, which you can study too, and that's how things will sort out. We're history's actors . . . and you, all of you, will be left to just study what we do." [emphasis added]

Genetic patterns as an indicative template for memetic patterns

Psychosocial dynamics, especially with respect to insights for coherent governance, can be considered to be a total mess at this time -- if only as indicated by the incapacity of the Alphas and the Betas to respond effectively to emerging crises. There would seem to be no relevant insight of a requisite complexity comparable to that of genetics. It is naively assumed that psychosocial dynamics can be adequately framed by the simplistic sets of categories -- if not simply "we right" and "you wrong", or "we know" and "you ignorant ". The essence of US foreign policy has been declared to be "you're either with us, or against us", as separately discussed (Us and Them: Relating to Challenging Others -- patterns in the shadow dance between "good" and "evil", 2009).

It is therefore appropriate to speculate on the possibility that the challenge of elucidating a "memetic code" could bear a degree of resemblance to that indicated by the history of the stages in navigating the confusion regarding a possible genetic code. In that sense it could be said that the earliest stages are far from being achieved. How much complexity is required, given the challenge of progressive understanding of an adequate genetic code?

Suppose, for example, that the fourfold pattern of dynamics (above) is indeed to be considered a generic pattern typical of any binary psychosocial situation. Could the "categories" so framed be understood as corresponding in some way to the four nucleotide bases fundamental to the genetic code, conventionally symbolised by the letters G, A, U, and C)? This would in itself be a challenge since the four together are as suggestive of disassociative dynamics as of associative dynamics, of denial and of non-transparency. But is that not what is required to frame experiential reality and the dynamics of agreement and disagreement?

If significance could be associated in some way with such a pattern, what further insights would emerge from genetics? Much work resulted in recognition of the role of the constituent elements of the genetic code. The nucleotide bases (or nitrogenous bases or simply "bases") derive their significance from their ability to form base-pairs and to stack upon one another leading directly to the helical structure of DNA and RNA.

With such properties, already comprehension of a memetic correspondence is challenged. Especially because of the manner in which that comprehension is necessarily embroiled in the pattern, undermining self-reflexivity, there would seem to be little understanding of what the memetic analogue to "DNA" or "RNA" might be -- despite the arguments of the inventor of "meme", namely Richard Dawkins (The Selfish Gene, 1976), and the many studies of memetics which it inspired.

The point was clearly made by Agocs Viorel ("Minimum separabile" and the memetic code, 1 February 2003), regarding the nature of the debate on memetics:

I also think that the debate has been going on for too long at the abstract level and it is time to make the shift to the concrete. The reason there are so many unbelievers is that we do not have any reference to the MEMETIC CODE and a mechanistic model of the structure of the meme. We also do not have a proper definition regarding the ENCODING MEDIUM of the memetic code. But, in the process of correcting this, we forget that prior to the gene was the protein and prior to the codon was the amino-acid. We already knew a lot about the amino-acids and the proteins long before we knew anything about the gene itself. We have been following the wrong path all along all along trying to find out the structure of the meme first. It is like trying to break the nutshell from inside out. It is known that the gene is built up from sub-units we call codons and we define this in reference to the amino-acids. If the gene have such sub-units, I wonder why shouldn't the meme have too?

Curiously the genetic code is based on patterns of three (of the four) nucleotide bases forming a codon. The three-nucleotide codon specifies a single amino acid in a nucleic acid sequence. Such a codon using 3 nucleotide bases can code for a maximum of 43 or 64 amino acids. The pattern of 64 combinations fundamental to the genetic code is typically presented in an RNA codon table or a DNA codon table -- each indicating which codons "code for" each of the 20 amino acids actually encoded by the codon triplets in the human genetic code. Individual amino acids may be "coded" by more than one different codon.

Requisite confusion to engender an elusive functional literacy?

Set against the complexity of psychosocial dynamics, how is the nature of any potential correspondence to a memetic code to be comprehended? Given the challenge of self-reflexivity, there is the probability that the result will not take the form of a "mechanistic model" (as suggested above) but is more likely to be associated with an element of paradox -- potentially requiring extensive use of metaphor. Expectations of "closure", according to the conventions of "old thinking", are unlikely to be expected. The manner in which Dawkins is himself embroiled in a one-sided view of the science-religion controversy -- as indicated in The God Delusion (2006) -- is indicative of the challenge to "objectivity", discussed separately (¡¿ Defining the objective ∞ Refining the subjective ?! Explaining reality ∞ Embodying realization, 2011; Conditions of Objective, Subjective and Embodied Cognition: mnemonic systems for memetic coding of complexity, 2007).

A valuable indication of the dynamics associated with both innovation and its comprehension is suggested by the much-quoted statement by Niels Bohr in response to a fundamental theoretical approach articulated by physicist Wolfgang Pauli:

We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct. My own feeling is that it is not crazy enough.

To that Freeman Dyson added:

When a great innovation appears, it will almost certainly be in a muddled, incomplete and confusing form. To the discoverer, himself, it will be only half understood; to everyone else, it will be a mystery. For any speculation which does not at first glance look crazy, there is no hope!(Innovation in Physics, Scientific American, 199, No. 3, September 1958)

Or perhaps, as expressed by Shakespeare: Though this be madness yet there is method in it. (Hamlet, 1603)

The extent of embedding within the dynamics, which it would be desirable to encompass in some way, is indicated by the following. Typically (by convention here) the focus of assertion and awareness (the "psychic centre of gravity") is in the upper-right quadrant with various degrees of conscious and unconscious interaction with the perspective of the other quadrants.

* * *

These fourfold patterns imply a degree of equivalence which is not readily held through "categories", as might be suggested by the following

* *

Although seemingly abstract, the "confusion" would seem to be required to address the following problematic dynamics.

* *

In order to enable the requisite openness, it is therefore better to be recognisably wrong than to imply closure. The concern here is not to "crack the memetic code" but rather to explore ways of thinking through which adequate "functional literacy" might be achieved to engage with the psychosocial dynamics implied above. In doing so in what follows, the focus is on patterns and not on whether attributions within patterns are correct. The process should necessarily arouse disagreement. The challenge is to find patterns of self-reflexivity which can also embody disagreement, rather than invite agreement -- simplistically. The work of Douglas Hofstadter is suggestive in that respect (Gödel, Escher, Bach: an Eternal Golden Braid, 1979; I Am a Strange Loop, 2007) as separately discussed (Sustaining a Community of Strange Loops: comprehension and engagement through aesthetic ring transformation, 2010).

The confusion in the process is usefully suggested by the ambiguity of attributing phrases to particular positions in the above fourfold tables. There is necessarily always a case for attributing them otherwise. This recalls the paradox of the wave-particle distinction in fundamental physics, framed by the Uncertainty Principle. In this context the ambiguity might be highlighted by using Huxley's classes, as in the following.

Huxley's classes presnted in quadrants

Whilst the allocation of Alpha is useful, the "visibility" of Alphas (and the ability to distinguish them) raises questions. They are well-disguised by the Betas complicit with them -- and their existence is readily "forgotten". The issue is highlighted by the Delta/Epsilon case, since their condition is typically "invisible" from other perspectives -- and they too are readily "forgotten" and "ignored". They may be treated as "invisible" -- as "nobodies".

This could suggest that the Alpha perspective "transcends" the framework in some way, rather than being placed within it. They might be replaced by Betas within the framework, with Deltas moved into the current position of the Betas. The ambiguity of the relation between Gammas and Betas in the above framework also merits attention. Their positions could also be reversed given the manner in which Betas partake of some of the characteristics in the upper row, and the Gammas those of the lower row. Such remarks point to the extent to which there is a need to engage with ambiguity.

The irony of any "modern" quest for a "memetic code" is that China has long valued an articulation of a pattern of 64 hexagrams, each formed from 3 binary pairs. As a pattern those triplets suggest comparison with the combination of 3 nucleotide bases forming a codon. Possible interpretation of the fourfold pattern can then be encoded using that system, as previously explored (Discovering Richer Patterns of Comprehension to Reframe Polarization, 1998).

Suggestive basis for correspondences between hexagram components
and triphosphates composing genetic codons?
Guanosine (GTP)
"G"
Adenosine (ATP)
"A"
"C"
Cytidine
(CTP)
"U"
Uridine
(UTP)

Much is now known to science regarding the properties and functions of the nucleotide bases, and of their combination to form any of the 64 codons basic to the the genetic code. On the other hand, Chinese culture has devoted extensive thought to the role of the fourfold pattern, indicated by the binary coding in the table, and to the insights offered by a combination of any three in a hexagram -- one of 64. The question is whether there is any meaningful correspondence between these two patterns -- as suggested by the table -- and how this is then to be found and comprehended (cf. Theories of Correspondences -- and potential equivalences between them in correlative thinking, 2007). A case for such exploration is well made by the arguments of Susantha Goonatilake (Toward a Global Science: mining civilizational knowledge, 1999)

The question can be framed otherwise in terms of what of significance might be done with a memetic code in the light of the controversy aroused by current and proposed applications of the genetic code. Comprehension of the genetic code involves one form of challenge and mystification. The desperate efforts to possess aspects of the code as intellectual property, for example, are a sad commentary on science -- which typically would deny its complicity, as discussed separately (Knowledge Processes Neglected by Science: insights from the crisis of science and belief, 2012). That of the Chinese encoding offers another -- perhaps necessarily replete with ambiguity and metaphorical allusion -- as well as questionable mystification by its enthusiasts.

Curiously, progress on the path towards such a code in the case of psychosocial relations is also marked at this time by an immediate tendency to treat any such code as intellectual property -- as with some of the patterns of personality types. This is an exemplification of the closure dynamic highlighted in the above pattern, and discussed elsewhere (Future Coping Strategies: beyond the constraints of proprietary metaphors, 1992). Strangely the prime objective is to accumulate wealth in one form or another -- possibly in an extremely intangible form.

This suggests that the control of resources by Huxley's Alphas is echoed in the intentionality with regard to monopolistic acquisition of intellectual property (preferably a "killer app") by "covert Alphas" -- enabling access to it "under licence" for whatever the market will bear. No question of key insights being considered a "world heritage". "Alpha" might be better considered as an embryonic mindset emerging from the pattern of interactions, as with functions associated with the other letters. Dawkins too might be considered an Alpha, for example, in his quest for a form of scientific closure which would definitively exclude those of alternative persuasion -- even of those yet to come.

Discovery of the genetic code offers a further lesson through the manner in which its deterministic nature was anticipatively over-hyped and through the subsequent obligation to focus on epigenetics as a complementary source of insight. The same might be expected of any memetic code and the complementary role of epimemetics. This is strikingly evident in advocated patterns of psychological types which focus, in their visual presentation, on the types in isolation rather than on the dynamics within which they are embedded.

Animation of codon triplet representation
(attribution of nucleotide bases to hexagram elements as in table above;
hexagrams on the left to be read upwards)

Sequence in conventional hexagram order
(faster animation)


Sequence in alphabetic order of codon
(slower animation)


Animation of codon triplet representation (hexagram order) Animation of codon triplet representation (codon order)

These animations can be understood as experiments to determine whether patterns are detectable visually in cycling through the two sequences, possibly at different speeds, as with movie frames. What resemblance might such patterns have to "letters" ? Would the role of gamma as a second order derivative in finance (as noted below) suggest the possibility of meaningful pattern recognition in the case of the rate of the rate of change in the speed of the animation? How do such questions relate to the sense in which the codons are indicative of forms of resonance within a pattern of resonance which characterises the whole, as indicated by the circular pattern of hexagrams (the logo of this website). The pattern may be understood as a form of resonance hybrid. The emergent "letters" might then be understood like Chladni patterns.

Representation of genetic code
(Reproduced from Plant Life;
for an alternative representation see Wikipedia image showing structures of amino acids)
Representation of genetic code

The term "alphabet" is often used in relation to the genetic code. Its appropriateness is reinforced by the above diagram, whether the "letters" are to be considered in association with the underlying (U, A, G, C), or with their triplet combinations, or with the amino acids for which they encode around the circumference in the diagram above. It is of course the 20+ amino acids which are numerically of the same order as conventional alphabets -- which typically range from in excess of 20 to less than 64. It is to be expected that the fourfold pattern may itself be contested (Expanding the Genetic Alphabet May Be Easier Than Previously Thought, Science Daily, 3 June 2012; Eörs Szathmáry, Why are there four letters in the genetic alphabet? Nature Reviews Genetics, 4, December 2003, pp. 995-1001).

This pattern could be considered to some degree isomorphic with that of the memetic code, as suggested here. The current predilection for alphabets of limited size to achieve "literacy" (clearly inadequate to the psychosocial challenge), then suggests that this may imply and disguise "alphabets" or another kind -- necessary for the "functional literacy" as yet to be achieved.

This suggests a fruitful contrast between the formation of letters in the Latin-style alphabets, depicted by a limited number of lines within the fourfold framework above, and the use by the Chinese of ideograms (or logograms) of greater complexity. The pattern of strokes through which these are constructed could then be understood as linking the 64 triplets singly -- in contrast to Latin-style alphabets linking their clusters as amino acids. As "ideograms" they naturally hold a closer degree of isomorphism to what they represent. However they also disguise the functional dynamics in their own way, as well as their cognitive implications -- to which calligraphy may offer a degree of access (as suggested below).

Suggested association of a letter of a conventional
alphabet with 20+ amino acids
Suggested association of a Chinese ideogram
with 64 codon triplets
Suggested association of a letter of a conventional alphabet with 20+ amino acids Suggested association of a Chinese ideogram with 64 codon triplets

Much was made of the expected results of the Human Genome Project to map the approximately 20,000-25,000 genes of the human genome from both a physical and functional standpoint. By comparison, in the light of the above argument, the number of Chinese characters (ideograms or logograms) has been variously estimated as being of the order of 50,000.

It is through combinations of "letters" that "words" are constructed. Ther question here is how the cognitive implications of a letter (through the dynamics of its construction) are effectively "diluted" (or lost) through their combination in this way. The further implication is that the diluted significance is then primarily associated with the word -- potentially giving rise to a sense of a "lost langage". The argument above suggests that the ability creatively to interrelate the dimensions of the foutfold pattern is more powerfully evident through the letter -- as may be the case with a complex Chinese character. It is appropriate to note that such a character is associated with each of the 64 hexagrams.

An alphabet, whatever the number of letters considered adequate, is effectively a cognitive systems diagram of psychosocial dynamics. However it is presented through its letters individually and separately -- posing the question of how to fit them together meaningfully, as with a jigsaw puzzle or a Rubik Cube. The map of known metabolic pathways is suggestive in that respect. The challenge is the nature of its psychosocial analogue, as discussed separately (Magic Carpets as Psychoactive System Diagrams, 2010)

Map of metabolic pathways
(indicating triphosphates at upper right; reproduced from Wikipedia, see larger version)
Map of metabolic pathways

Biochemists make use of songs to memorise and recall these complex pathways (Harold Baum, Biochemists' Song Book, 1995; MP3 files). It is appropriate to speculate on the songlines appropriate to a psychosocial map, as variously considered (A Singable Earth Charter, EU Constitution or Global Ethic? 2006).

Epimemetics, biomimetics, epimimetics and biomemetics

As noted above, a deterministic focus on the genetic "alphabet", and any psychosocial analogue in terms of typology, has proven to be significantly inadequate to the challenge. Hence the concern with epigenetics, namely the dynamic context within which genetics is embedded. A similar case can be made for epimemetics as a means of holding the dynamics between categories of any kind. The argument here is an abridged version of a case made separately (Epimemetics, biomimetics, epimimetics and biomemetics, 2010). An earlier case was made in reflection on constrained understanding of human awareness (Beyond the Standard Model of Universal Awareness, 2010).

Epigenetics emerged as a discipline to show how nurture combines with nature to engineer biological diversity (Nessa Carey, The Epigenetics Revolution: how modern biology is rewriting our understanding of genetics, disease, and inheritance, 2012; Richard C. Francis, Epigenetics: how environment shapes our genes, 2012; Thomas Woodward and James Gills, The Mysterious Epigenome: what lies beyond DNA, 2011).

One of the few approaches to epimemetics, but primarily for commercial marketing purposes, is that of Russell Wright, a search engine optimization auditor -- co-creator of the Theme Zoom search engine marketing tool, based on a keyword reporting system and "9 different keyword types". He promotes a natural language, neurolinguistic, neuromarketing, memetic approach in a video sequence (Your Epimemetic Awakening: Unmapping the Web, 2010; Unmapping the Web: genes, memes, temes and epimemes, 2010).

From a cognitive perspective it is useful to contrast this preoccupation with biomimetics (or biomimicry) as a source of insight, effectively exploited in the argument above. This suggests the following pattern, especially in the light of the argument for cognitive engagement with nature:

These could be suggestively interrelated as follows.

biomemetics
(symbols, embodied mind,
shamanic identification with nature)

epimimetics
(art of memory,
method of loci,
re-membering)
Juxtaposition of biomemetics, biomimetics, epimemetics and epimemetics epimemetics
(metaphor, poesis,
art of word play,
dynamics of memes)
biomimetics
(mimicry of nature, mirroring)

Fruitful gamma resonance within a pattern of mnemonic associations?

The visualization of relationships above gives a degree of focus to the challenge of their comprehension in the context of problematic "us and them" dynamics -- "me right, you wrong".

As a catalyst for imaginative reframing of possibilities, the suggestion here is to recognize and benefit from the curious variety of phenomena with which "gamma" is associated -- the notions with which it resonates. The "ordinariness" of Huxley's Gammas is effectively embedded in an extraordinary pattern of gamma-related associations -- many of which are considered fundamental to the organization of reality. The quest for "comprehension catalysts" frollows from an argument presented separately (In Quest of Mnemonic Catalysts -- for comprehension of complex psychosocial dynamics, 2007).

The argument here is that there is scope for playing creatively with the implications of such associations, given the importance of play and humour to creativity, as separately argued (Humour and Play-Fullness Essential integrative processes in governance, religion and transdisciplinarity, 2005; Playfully Changing the Prevailing Climate of Opinion: climate change as focal metaphor of effective global governance, 2005; Enacting Transformative Integral Thinking through Playful Elegance, 2010).

This exploration could be compared to that of the much-cited work of Gareth Morgan (Images of Organization, Sage, 2007) which distinguishes organizations as: machines, organisms, brains, cultures, political systems, psychic prisons, flux and transformation, and as instruments of domination (see review). It might also be compared to the imagining of God. as proposed by Sallie McFague (Metaphorical Theology: models of God in religious language, 1982; Models of God: theology for an ecological, nuclear age, 1987).

In addition to the Gammas of Huxley's novel, some provocative examples of the use of gamma noted in Wikipedia, include:

Visually the depiction of the lower case Greek letter gamma is formally reminiscent of:

Aside from the use of colour in awareness ribbons, Huxley associated particular colours with the social castes: Alpha (grey), Beta (mulberry), Gamma (green), Deltas (khaki), Epsilon (black). It is curious that a significant cluster of those preoccupied by the current irresponsibility of the "1%" are the "greens", namely the Gammas in Huxley's tale -- to be seen as confronting the ash-grey clothen Alphas, as suggested separately (Burnies versus Greenies ? Refocusing the communication challenge for the Greens, 2013). This notes the irony of the current fashion/design slogan: Green is the New Black.

Symbols have a widely appreciated role in psychosocial systems, as variously described (Roland Barthes, Empire of Signs, 1983). They are powerful devices for the communication of understanding, and central to many forms of marketing. Of relevance here is how symbols "work" (Dan Gronwald, How Symbols Work: imprints or stereotypes? MythicDreams.org, 25 March 2011). The matter has been extensively explored by such as Carl Jung with Marie-Louise von Franz (Man and His Symbols, 1964). As sought by a successor to Jung, John R. Van Eenwyk (Archetypes and Strange Attractors: the chaotic world of symbols, 1997):

... to clarify how symbols work, how they accomplish what they do; it is about the mechanics of our interactions with them. These concerns are more than academic. Studying what symbols do, clarifies what symbols are. This, in turn, helps us to interact with them more effectively when they appear. And that, ultimately, helps us to manage the power they exert on us....

Analytical psychology and physical and mathematical science all employ virtually identical metaphors to understand particular phenomena, but this does not guarantee that they are accurate metaphors or that they describe the same phenomena. The evidence is growing, however, that chaos theory and analytical psychology are describing similar dynamics, albeit in very different realms.

What forms vital to psychosocial tranformation carry, reinforce and suggest new meaning?

Gamma as change in the rate of change of value

In the context of this exploration it is extraordinary to discover the importance of gamma in financial trading. There it offers a measure of the rate of change in the delta with respect to changes in the underlying asset's price. In a world focused on change, gamma is an indicator of the change in the rate of change. With respect to finance, this must necessarily be understood as the change in one of the most tangible forms of value -- if notional and symbolic. Given the argument for the value of playing (as noted above), it is strange that "playing the markets" is a well-recognized phrase and that gamma should be so fundamental to the skills involved.

As the second derivative of the value function with respect to that underlying price, gamma is an important measure of the convexity of a derivative's value, in relation to the underlying price. It is important because it corrects for the convexity of value. Convexity refers to non-linearities in a financial model. In other words, if the price of an underlying variable changes, the price of an output does not change linearly, but depends on the second derivative of the modeling function. Geometrically, the model is no longer flat but curved, and the degree of curvature is called the convexity.

Ironically, in a period of the severest financial confidence in the country of its origin, the use of the term gamma in mathematical finance derives from "the Greeks". The name is used because the most common of these sensitivities are often denoted by Greek letters. These are the quantities representing the sensitivities of the price of derivatives to a change in underlying parameters on which the value of an instrument or portfolio of financial instruments is dependent. The range, precision and subtlety of such little known measures is incredible, given the fuzzy inadequacies and oversimplifications in the case of debate regarding change in psychosocial systems. Wikipedia offers entries on:

  1. First-order Greeks
    1. Delta: measures the rate of change of option value with respect to changes in the underlying asset's price.
    2. Vega: measures sensitivity to volatility. It is the derivative of the option value with respect to the volatility of the underlying asset.
    3. Theta: measures the sensitivity of the value of the derivative to the passage of time: the "time decay."
    4. Rho: measures sensitivity to the interest rate: it is the derivative of the option value with respect to the risk free interest rate (for the relevant outstanding term)
    5. Lambda (Omega): is the percentage change in option value per percentage change in the underlying price, a measure of leverage, sometimes called gearing.
  2. Second-order Greeks
    1. Gamma: measures the rate of change in the delta with respect to changes in the underlying price.
    2. Vanna: (or DvegaDspot and DdeltaDvol): is a second order derivative of the option value, once to the underlying spot price and once to volatility.
    3. Vomma (Volga, Vega Convexity, Vega gamma or dTau/dVol) measures second order sensitivity to volatility. It is the second derivative of the option value with respect to the volatility, or, stated another way, vomma measures the rate of change to vega as volatility changes.
    4. Charm (or delta decay, or DdeltaDtime): easures the instantaneous rate of change of delta over the passage of time.
    5. DvegaDtime: measures the rate of change in the vega with respect to the passage of time. It is the second derivative of the value function; once to volatility and once to time.
    6. Vera (or Rhova): measures the rate of change in rho with respect to volatility. It is the second derivative of the value function; once to volatility and once to interest rate.
  3. Third-order Greeks
    • Color (gamma decay or DgammaDtime): measures the rate of change of gamma over the passage of time
    • Speed (or the gamma of the gamma or DgammaDspot): measures the rate of change in Gamma with respect to changes in the underlying price.
    • Ultima (or DvommaDvol): measures the sensitivity of the option vomma with respect to change in volatility.
    • Zomma (or DgammaDvol): measures the rate of change of gamma with respect to changes in volatility.

Collectively these have also been called the risk sensitivities, risk measures, or hedge parameters. Together "the Greeks" are vital tools in risk management. Ironically again, "the Greeks" (including gamma), have been fundamental to the development of the continuing financial crisis -- especially given the manner in which these were based on the dubious packaging and marketing of financial derivatives.

So-called "cross gamma" is important for the financial trader because in many hybrids products, the value in terms of higher coupon comes from huge cross gamma. So when pricing these products the trader needs to analyse how much of this cross gamma can be captured in the market. Correlation assumptions are a way traders can decide how much of the value from cross gamma can be passed on in terms of enhanced coupons while trading the product. In a delta-hedge strategy, gamma is sought to be reduced in order to maintain a hedge over a wider price range. A consequence of reducing gamma, however, is that alpha too will be reduced.

A highly controversial study by a former risk manager, Nassim Nicholas Taleb (Antifragile: how to live in a world we don't understand, 2012), has addressed the conditions which are a source of strategic surprise -- developing an argument made in earlier work (The Black Swan: the impact of the highly improbable, 2007). Considerable attention is given to the management of convexity (Black Swans and Antifragility: a vivid reconceptualization of risk and resilience, NPQ: nonprofit quarterly, 20 March 2013). Taleb argues for recognition of antifragility, in contrast to fragility, where high-impact events or shocks can be beneficial. He coined the term because he considered that existing words used to describe the opposite of "fragility," such as "robustness," were inaccurate. Antifragility goes beyond robustness; it means that something does not merely withstand a shock but actually improves because of it.

However, as argued in a critical review by Eric Falkenstein:

The book is really a big spread argument that it's good to be long gamma, bad to be short it. Gamma is the essence of an option, why there's 'time decay' or theta, a predictable expense that anticipates the payoff times the probability. Whether or not this theta is adequate for the gamma is whether an option is priced fairly or not, and generally people pay too much for gamma... Being long options (positive gamma), especially out-of-the-money options, has been a losing strategy. (Taleb Mishandles Fragility, 27 November 2012)

The recognition of the importance of gamma with respect to one fundamental form of change raises valuable questions as to how it -- together with the other "Greeks" -- could usefully be applied to other forms of change in value, especially those involving a degree of risk. The critics of Taleb's thesis -- as one of the few who warned of the financial crisis -- should be compared with the perspective of others who did not, as an indication of that dynamic with respect to more intangible values (Jared Woodard, Why Taleb is wrong about markets and uncertainty, Condor Options, 26 Novemeber 2012).

Unsustained awareness implied by gamma inversion

Curiously, what is effectively an inverted gamma, is widely used in so-called "awareness ribbons" worn on the lapel -- possibly as a symbol of protest.

Pinlk awareness ribbon Blue awareness ribbon Green awareness ribbon

These include, with variants in different countries and on different occasions:

Aside from its inversion as gamma, of particular relevance to the argument above is the extent to which the form of these ribbons implies a another dimension through the overlap. This might be considered as recognition of a topological form of the simplest kind -- possibly the beginning of a knot, or a half-knot. It is appropriate to note how the more aesthetic depictions of gamma as a lower case letter (see below) offer a similar sense of curving overlap, implying a degree of encirclement of an incipient hole.

The result can be fruitfully interpreted as an uncompleted Möbius strip -- with all that may imply in terms of the paradoxical engagement required by the psychosocial causes for which a ribbon may be used. These have been otherwise explored by Steven M. Rosen (Science, Paradox and the Moebius Principle: the evolution of the transcultural approach to wholeness, 1994). The awareness in question might be considered as implying potential completion or enablement by a "complementary focus" of awareness in the form of another ribbon. This is suggested by the image on the left. This could be understood as in progress of transformation into the paradoxical form on the right -- the completed Möbius strip.

Relating blue and pink awareness ribbons Mobius strip

Further to the argument above regarding symbols, there is a case for recognizing the significance associated with their elaboration -- as the mind follows the lines and curves of the form, and their twists and inversions. This is most evident in the case of calligraphy considered as a spiritual discipline. Sanskrit calligraphy is considered to be a direct way of invoking energies and realities, as with those Arabic script or Chinese characters. The process is an invocation of a certain form, concept, idea or energy. Also of interest is the relevance of "gamma" as an accepted symbol in the disparate variety of contexts evident from the array of examples cited above. Consistent with the configuration of the awareness ribbons, curiously the calligraphic construction of gamma (below) suggests a degree of three-dimensional twist.

As concluded by Robert W. Gunn (Intimacy, Psyche and Spirit in the Experience of Chinese and Japanese Calligraphy, Journal of Religion and Health, 40, 2001), calligraphy is a mode of self-discovery and self-development that opens people to a substantial dialogue between cultures and the paths of inner conversation.

For Wong Ping Ho (The Chinese Approach to Learning: the paradigmatic case of Chinese calligraphy, 2005):

The case of Chinese calligraphy is representative, for "the tracing of characters is often described as if it were the definitive act of Chinese learning"... We would therefore take take a look at the learning of Chinese calligraphy, see how its seemingly mechanical learning methods are in fact necessary for the achievement of the states alluded to by qi and shen, and how it provides a paradigm for interpreting the point of learning in Chinese culture, at least as understood by the sages (p. 159)

Potential implications in forming letters with this perspective, most notably in the light of their significance in politics and religion, include movement to the "left", or to the "right", and movement "up", or "down" -- as well as their associations to "positive" or "negative"..

The question posed here is the cognitive implication of "gamma" as a traceable form, given the pattern of mnemonic associations above.

The argument may be taken further by considering a very concrete form of tracing and travelling a form, as is exemplified in complex road junctions. The elegance of the forms these may take follows from the mathematics governing so-called Euler spirals (also known as spiros, clothoids or Cornu spirals). These are curves whose curvature changes linearly with the curve length (the curvature of a circular curve is equal to the reciprocal of the radius).

The spiral is fundamental to transition curve design in railroad and highway engineering for connecting and transiting the geometry between a tangent and a circular curve, on which there is a very extensive literature. The governing equation is related to the so-called Gamma function, the Gauss error function, and is a special case of the confluent hypergeometric function (Raph Levien, The Euler Spiral: a mathematical history. 2008). The question is then how this might apply to any "transition curve" between strategic models based on "linear thinking" and those dependent on a sense of "curvature", as discussed separately (Clothoid as a psychosocial transition curve: from linear to circular, 2012). Is there a corresponding literature on "transition curve design" with respect to governance?

Euler's spiral or Clothoid
(See also screen shots from an interactive representation
The spiral converges to the centre of the holes in the image
as the length of the spiral (measured from the origin) tends to positive or negative infinity.
Euler's spiral or Clothoid

It is of course the suggestive visual similarity of the above curve to a portion of the lower-case gamma depiction which is of interest here, together with the "transiting" curvature in the lower half of its aesthetic representations. As used in the Gamma function, it is however the upper-case variant of gamma that is used.

In the context of the above argument, the associated Euler equation offers a key to understanding the transformation between linear and circular cognitive modes. It has been suggested that Euler's formula describes two equivalent ways to move in a circle (Kalid Azad, Intuitive Understanding of E.uler's Formula, 2010). This is potententially vital to engaging with psychosocial dynamics constrained by different forms of "linear thinking" and requiring a degree of reconciling "curvature"

As a mathematical device for converting between polar coordinates and rectangular coordinates on the complex plane, its wider signifiance merits continuing exploration, as discussed separately (¿ Embodying a Way Round Pointlessness ? 2012). This included consideration of Enabling a reconciliation between one and nothing: p and the mysterious Euler identity and Spiralling around "nothingness" and "pointlessness": the implication of phi.

Appropriate to this argument, one early exploration of transition curve design argues that, from a driver-perspective, there is little to distinguish between one based on an Euler spiral and one based on a lemniscate (A. J. Tyson, Highway Transition Curve Design, Survey Review, 10, 1950). The lemniscate of Bernoulli is commonly used inroadwork where it is required to have thecurve transitionalthroughout, and without any intermediate circular curve. Lemniscate refers to a variety of figure-of-eight curves. As a three-dimensional dynamic system, the Lorenz attractor exhibits a lemniscate shape. It may of course be compared with the Möbius strip. Curiously (with respect to the awareness ribbons above) the etymology derives from a sense of being "decorated with ribbons", associated with the the ancient Greek island ofLemnnoswhere ribbons were worn as decorations.

Relational insight dynamics in terms of a "gamma" perspective

The question here is whether the form of the letter gamma can be used as a mnemonic device to offer insights into the relation between the quadrants (above) -- in order to transcend their limitations. It is assumed here that it is the "social caste" of Gammas, in Huxley's terms, who are most likely to both evidence frustration and to act upon it. It is they who have become increasingly cynical regarding the discourse for which the Alphas are primarily responsible -- exacerbated by their evident self-satisfaction and unmet promises. It is they who tend to be well represented in democratic protest.

Exploiting the aesthetic licence, other symbols are used in the argument below, in the light of the visual similarity indicated above.

Depiction of Gamma and visually similar symbols
Aries
(Zodiac)
Gamma
(lower case Greek letter)
Euler, Clothoid, Cornu spiral
(reflection of portion of half)
Aries Zodiac Gamma (Greek letter)

Attributing one "binary theme" to the fourfold framework (introduced above), potential relations such as the following might be explored in the light of the manner in which portions of gamma may be traced, inverted or combined. Here "science-religion" is used, although clearly attribtions might be reversed in a "religion-science" pattern.

Schematic relating science and religion Schematic relating science and religion Schematic relating science and religion Schematic relating science and religion
Schematic relating science and religion Schematic relating science and religion Schematic relating science and religion

The above set may be further extended as follows.

Schematic relating science and religion Schematic relating science and religion Schematic relating science and religion Schematic relating science and religion
Schematic relating science and religion Schematic relating science and religion Schematic relating science and religion

Examples are given here of further problematic binary themes, but with only one set of relations.

Schematic relating Arab world and Israel Schematic relating environment and development Schematic relating political right and political left Schematic relating male and female

A complete set of relations for the science-religion case can be presented in a single animation as follows.

Animation of schematic relation between  science and religion

Extending the alphabet and its representation?

In the exploratory mode here, it should be emphasized that the quest is for an argument which is "neither scientific nor representational", rather it reflects design issues potentially vital for comprehension and memorability in the practice of psychosocial relations. This approach is consisten with the argument of Johan Galtung (Forms of Presentation: a forgotten aspect of social science epistemology, 1978) within the project on Goals, Processes and Indicators of Development (GPID) of the United Nations University -- offering possibilities previously discussed (Forms of Presentation and the Future of Comprehension, 1984).

It is in this spirit that Huxley's "Greeks" are portrayed in the following experiment -- borrowing the financial usage of "Greeks, since here too it is a matter relational risk management. Of interest is the manner in which this constitutes the elements of a "story" whose "threads" could be far better "connected" as a psychosocial "plot" -- many of the frames suggesting controversial sociopolitical associations. Others could be imagined -- and far better presented interactively through a Java applet to enable users to design and explore story lines (perhaps with the use of morphing techniques and moiré patterns).

Experimental animation of the relation between the "Greeks" of Brave New World
Animation of alpha, beta, gamma, delta, epsilon

The story -- through the ligatures used between letters in some frames -- is also reminiscent of the connectivity suggested by the map of metabolic pathways above. Ligatures are of course vital to the construction of words in a script. What are the "words" implied by these images? Since the "Greeks" may be considered as psychosocial types, it is appropriate that such relationships are understood as "typographical ligatures". If such ligatures were a major feature of the calligraphy of "holy books", then why not of multi-media "wholy books"?

In animation, the experiment is reminiscent of the steps in a traditional sword dance (with crossed swords). The cognitive implications of such movement recall the arguments of Mark Johnson (The Meaning of the Body: aesthetics of human understanding, 2008) and Maxine Sheets-Johnstone (The Primacy of Movement, 2011) -- especially with respect to the movement with partners in a dance (Sustainability through Magically Dancing Patterns, 2008; Patterns Essential to Individual and Global Health? 2010). Hence the sense of "epimemetics" (as a dance of meaning) and the need for weaving together the threads of discourse in new ways, as separately discussed (Interweaving Thematic Threads and Learning Pathways, 2010). The many dance animation web resources are suggestive of patterns to be explored.

As noted above, suggestions have been made for "extending" the genetic alphabet in the light of recent research. Of relevance to any possible memetic alphabet, there is a case for considering other ways in which it might be extended. Attention to the Chinese approach would seem to be approriate. Rather than a fourfold approach, the Chinese use a more elaborate eightfold approach, reminiscent of the various "eightfold ways" mentioned above. This lends itself to configuration in a 3x3 table (rather than 2x2, as used above), leaving the central space empty. This central space is then especially valuble as implying a locus for any kind of transcendent perspective.

Pattern of trigrams
(Chinese Ba Gua -- Earlier Heaven arrangement)
 

Using this framework, the constitution of codon triplets (by combining two such trigrams) results from either straight lines of different lengths or L-shaped forms reminiscent of upper-case gamma. As with the gammadion (cited above), the patterns then lend themselves to animation experiments in terms of "Knight's moves" in chess -- also to be represented in a dynamic variant of the swastika (Swastika as Dynamic Pattern Underlying Psychosocial Power Processes: implicate order of Knight's move game-playing sustaining creativity, exploitation and impunity, 2012)

Also of interest is the assumption that any genetic code is best presented in flat tabular form or configured in a way reminiscent of the psychoactive advantages of a mandala, but still in two dimensions. Consideration can be given to the representation of a memetic code within a three dimensional framework, one in which the lines and curves forming the letters would themselves be in three dimensions -- potentially more resonant with any cognitive engagement. Remarkable progress in this direction, using light, has been with respect to one alphabet -- although citation is not appropriate, given the pathetic preoccupation of the innovator with intellectual copyright (perhaps necessarily, and symbolically, reminiscent of the preoccupations of Gollum with the One Ring, as depicted in Lord of the Rings, as a dramatic requirement of that tale).

Another approach is suggested by the use of a polyhedron capable of distinguishing a pattern of 64 codons or hexagrams -- a polyhedron with a degree of symmetry and coherence rendering it memorable as a form, to a greater degree than a tabaular or circular form. Such possibilities are considered separately (Topological Clues to a Memorable 12-fold Systemic Pattern, 2011). Of particular interest is the relatively unique polyhedron with 64 edges, as shown below. The set of codons and heagrams have been attributed arbitrarily to its edges in the separate images. Whether they can be repositioned more significantly remains to be seen.

Clearly it would then be of interest whether that distribution then justified mapping the set of amino acids onto appropriate surfaces of the figure. The polyhedron has 32 faces, in excess of the 20+ amino acids and of the letters of the Latin aphabet, but equal to those of the Polish alphabet, for example. As noted above, the further question is whether such a mapping is cognitively enabling -- as is potentially suggested by the significance attributed to the individual hexagrams and the metaphors with which the can be associated, as separately discussed (Transformation Metaphors -- derived experimentally from the Chinese Book of Changes (I Ching) for sustainable dialogue, vision, conferencing, policy, network, community and lifestyle, 1997; Archetypal otherness -- "DNA vs. I Ching", 2007).

Drilled truncated cube -- a polyhedron with 64 edges, approximating a torus,
Indicative assignment of labels with faces variously coloured or not
(images produced with Stella Polyhedron Navigator)
Codons assigned as labels to edges Chinese hexagram labels assigned to edges
Drilled truncated cube -- a polyhedron with 64 edges, approximating a torus Drilled truncated cube -- a polyhedron with 64 edges, approximating a torus

A striking feature of a toroidal configuration, such as that above, is the potential function implied by the central "emptiness" -- appropriately consistent with a means of suggesting a locus for "neither A, nor not-A". This is in accord with philosophical preoccupations with non-duality and with the nature of the "mindlessness" cultivated by some spiritual disciplines. It also usefully frames "openness without closure" and the sense of "finite but unbounded". Given the possibile necessity of paradox, it might appropriately frame the arguments of John Zerzan (Running on Emptiness: the pathology of civilization, 2002).

Another approach to "extension of the alphabet" follows from use of mirrored spiral forms, as suggested by the arguments with respect to the Euler (Clothoid) and Fibonacci spirals, and the various possibilities of inversion and reflection of portions of the gamma form (illustrated above). This design argument has been separately developed (Spiralling around "nothingness" and "pointlessness": the implication of phi, 2012; Experimental attribution of binary codes to Fibonacci pattern, 2010). Embodying a sense of transition curves between linearity and circularity, it was presented as being of relevance to a pattern for sustainable governance (Fibonacci's magic carpet of games to be played for sustainable global governance, 2010).

Mapping of "memetic" hexagrams from various Chinese sets into a rectangular-spiral framework with inversion
(discussed in Tao of Engagement -- Weaponised Interactions and Beyond, 2010)
[see enlarged version, with individual hexagrams linking to indicative commentaries]
. Mirrored reflection of Fibonacci spiral
Fibonacci spiral organization of I Ching codes (reversed) .
Alternation -- That which is, is not. That which is not, is
-
- perhaps indicative of the holomovement described by David Bohm

The lower branch of the spiral, as presented above, is suggestive of a relation to be explored between the "alpha quadrant" and the "delta quadrant" of the fourfold frameworks above. This is consistent with the former being an "overworld" and the latter being an "underworld". In this form there the framework offers a form of "integration" between the two, as is valued in integration of the "shadow", whether of the individual or the collective (Designing Global Self-governance for the Future: patterns of dynamic integration of the netherworld, 2010).

Conclusion

The argument has endeavoured to explore a way of transcending problematic psychosocial dynamics in which all are necessarily embroiled -- especially those seeking to reduce their complexity to some conventional paradox-free model.

Inspired by acceptance of the complexity of genetics, the approach has engaged playfully with the challenges of memorability and representation -- in the light of arguments of biomimetics. However, given the recognized limitations to the explanatory power of the genetic code, the argument has also considered the need for an anlogue to the dynamics of epigenetics, in the form of epimemetics. To that end consideration has been given to the potential mnemonic associations to "gamma". These include the sociopolitical dimensions highlighted by the novel of Aldous Huxley.

Given the fundamental processing of "energy" within the metabolic pathways, in which the bases of genetics play such an intrinsic role, this highlights the question of the nature of the "energy" associated with psychosocial processes (whether problematic or not), as separately discussed (Reframing Sustainable Sources of Energy for the Future: the vital role of psychosocial variants, 2006; Massive Elicitation of Psychosocial Energy Requisite technology for collective enlightenment, 2011).

The challenge of the argument, arising from its self-reflexive dimension, is readily to be seen in the framing of "neither A, nor not-A" and how this is to be comprehended. The problematic binary "science-religion" debate has been used as an appropriately fundamental example which defies conventional thinking. Even though both appeal variously to paradox, uncertainty and the challenge to comprehension, such "confusion" has not enlightened the discourse between them, as previously discussed (Eliciting wholth through associating mathematics and theology, 2013). Curiously both face challenges of confidence and belief in appealing to wider audiences -- including Huxley's Gammas.

In that respect, it could be argued that the methods of science and religion would seem to be inadequate to the cognitive challenges of a global civilization. Both face considerable difficulty in communicating their most fundamental insights -- whether to each other or to wider audiences. Both appeal to authoritative insights, but are variously challenged to ensure their comprehension. In the case of science, the requirement is that the most fundamental insights be taken on faith -- since extremely costly experiments are required to confrm or deny the "evidence" from which they derive. In a complex social system with many dubious agendas, there is little to prevent those with the power to do so to frame and adjust their conclusions selectively in ways which cannot be readily questioned. Religion is faced with analogous difficulties. Both are defensive in relation to any challenge. Both frame their insights as forms of intellectual ptoperty to which access is variously controlled.

It would seem that a new modality may well emerge -- more clearly focused on comprehension, confidence and operacy with respect to practical challenges faced by individuals in the moment. It may be perceived as supereeding "science", as the latter has claimed to supercede "religion". It may also be perceived as complementary in its focus on reframing possibilities for action in the moment. Both science and religion, with their respective "insight delivery" problems, are then to be seen as inadequate in practice to the challenge of those in need. In a world characterised by "spin", this new modality may be seen as engaging "conscience", through transcending the frameworks of mathematics and theology, as separately discussed (Mathematical Theology: Future Science of Confidence in Belief: self-reflexive global reframing to enable faith-based governance, 2011; Towards Conscientific Research and Development, 2002)

The argument has endeavoured to indicate the manner in which dynamics, and their memorable representation, are the key to this modality -- rather than the conventional focus on essentially static categories. It has been suggested that the dynamics with which "gamma" is variously associated are suggestive of forms of resonance which may constitute a sustainable "meta-pattern that connects".

Whether as suggested by Aldous Huxley, or by financial traders, the "Greeks" offer a language for the embodiment of changing values -- consistent with their original cultivation by the inventors of democracy. If "learning the alphabet" is considered so important to "literacy", how is the alphabet of "functional literacy" with regard to psychosocial systems to be understood, and what kind of learning is then required?


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