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28 June 2022 | Draft

Future Global Exodus to the Metasphere

Enabling mass migration of humanity to a cognitive frontier

-- / --

Earth spheres and planetary boundaries?
Socio-cultural spheres of global society
Cognitive metastasis: crisis of crises as a spherological meta-crisis?
Meta-sphere and global spherological crisis?
Variety of understandings of metasphere
Metasphere and its symbolic connotations of higher and lower realms
Engendering the metasphere through metaphor
From cognitive exodus to cognitive home-coming?


The publicity regarding the rebranding of Facebook as Meta has drawn attention to one particular understanding of the "metaverse" envisaged by techno-optimists (Kyle Chayka, Facebook Wants Us to Live in the Metaverse: what does that even mean? The New Yorker, 5 August 2021). Another understanding is offered from a psychosocial perspective (Future Psychosocial Implications of the Metaverse: exploring possible non-technical and existential dimensions, 2022).

Any framing of "metaverse" in relation to the "universe" of human communication, information and knowledge can be understood as confusing -- given the confusion associated with the immensity of the physical universe with its billions of galaxies. Any assumptions regarding the possibilities for humans of travelling freely within it from galaxy to galaxy are indeed appropriately cultivated through imaginative science fiction.

The difficulty for individuals and groups at this time is the obvious impracticality of such travel other than through imagination -- or in suspended animation for light years. The focus in practice for some is on the excitement of getting into orbit around the Earth, establishing a base on the Moon and on Mars, orbiting other planets. Again that possibility will in all probability be accessible only to the few whose experience will only be accessible vicariously..

Rather than travelling to distant parts of the solar system, the focus here is on "getting into orbit" around the Earth -- understood metaphorically in cognitive terms. This has the considerable advantage of maintaining a degree of groundedness in relation to the reality of the Earth environment in which people live and move and have their being.

From a metaphorical perspective, achieving a sustainable orbit suggests the merit of recognizing the distinctive "spheres" by which the Earth is surrounded -- enabling life. The lowest level is the troposphere (with which weather phenomena are primarily associated). Above it is the stratosphere (composed of stratified temperature layers). Between the troposphere and stratosphere is the tropopause border that demarcates the beginning of the temperature inversion. Within the stratosphere is the ozone layer, namely a region  that absorbs most of the Sun's ultraviolet radiation. Beyond the stratosphere is the mesosphere in which temperature decreases with altitude.

The mesophere is surrounded by the thermosphere within which ultraviolet radiation creates ions through  ionization of molecules; the thermosphere constitutes the larger part of the ionosphere (composed of the mesosphere and exosphere). Above the thermosphere is the atmospheric boundary of Earth's energy system, known as the thermopause. The exosphere is a thin, atmosphere-like volume surrounding the Earth where molecules are gravitationally bound to it. The magnetosphere is a region of space surrounding the Earth  in which charged particles are affected by the planet's magnetic field -- with the magnetopause as the boundary between the planet's magnetic field and the solar wind

The suggestion in what follows is that this intensively studied articulation of atmospheric physics -- most obviously by climate scientists -- is potentially indicative of a set of metaphors of value to distinguishing cognitive processes in a global psychosocial system. A degree of credibility for the suggestion is already evident in the manner in which "atmosphere" is borrowed to describe the conditions of psychosocial "weather" and "climate" -- as with "temperature" in references to "heated debate". Reference is also made to "stratosphere", as noted by Andrew Gallagher: As the national debt increases every year, critics of government spending complain that we must do something before the debt goes into the stratosphere (Metaphors of Stars, Meteors and Outer Space, 26 November 2014; see also Stratosphere Quotes, Brainy Quotes).

Indications emerging from such a metaphorical exercise might well prove to be relevant to the "heated" / "charged" debates regarding climate change, especially with respect to "temperature" and to "polarization" (Weather Metaphors as Whether Metaphors, 2015; Climate Change as a Metaphor of Social Change: systemic implications of emissions, ozone, sunlight, greenhouse and overheating, 2008; Playfully Changing the Prevailing Climate of Opinion: climate change as focal metaphor of effective global governance, 2005).

The primary focus of this exercise is however on recognition of analogous cognitive spheres and most specifically a "metasphere". Clearly "getting into orbit" involves traversing the "lower layers of the atmosphere", rather than the possibilities of sub-orbital focus on travel around the stratosphere. To what mode  of insight and discourse might a metasphere be analogous in the light of the articulation above? If the metasphere is to be recognized as beyond the degrees of abstraction with which "stratosphere" is associated in discourse, what is needed to achieve the requisite escape velocity (Navigating Alternative Conceptual Realities: clues to the dynamics of enacting new paradigms through movement, 2002; Combining Clues to 'Ascent' and 'Escape', 2002).

The considerable focus on aeronautics and the potential opportunities of space are a driving force for many. They are seen as fundamental to the future of humanity (Sherry E. Bell and Colonel M. V. "Coyote" Smith,  Human Migration into Space is a Biological Imperative, Journal of Space Philosophy 1, 2012 1; Mike Wall, Stephen Hawking Warns: humanity may have less than 600 years to leave Earth, Space, 8 November 2017). "Coyote" Smith writes as Chief Future Scientist of the US Air Force. The Journal of Space Philosophy extends its focus to encompass a degree of recognition of space in non-physical terms, notably as cultural space.

To clarify this exploration, the variety of contrasting current uses of "sphere" and "meta" are noted prior to consideration of their relevance to "metasphere", "meta-sphere" and "meta sphere", whether as commercial, technical, or aesthetic/cultural initiatives. All of these have implications for the focus on the metaphorical cognitive framing in what follows. The current "crisis of crises" can then be explored as a "spherological crisis" -- as a meta-crisis. In the implications for any understanding of the global brain, civilization could then be understood as faced with a form of "cognitive metastasis".

The array of subtle spheres currently recognized is presented as a pattern ironically anticipated by the extensive traditional arrays of heavenly and demonic realms -- implicitly recognized in references to a much-cited "Axis of Evil" and a lesser known "Axis of Good". Symbolically at least, these are then presumably to be understood as fundamental to the  geometry of any metasphere.

Framed in this way, the question is in what manner a global exodus from an increasingly "uninhabitable" planet is to be envisaged -- and facilitated. Rather than the deceptive distraction of a physical exodus -- essentially impractical for the many -- this is explored as a form of cognitive migration, more appropriately understood as a form of cognitive home-coming. Such a transformation notably has implications for a more fruitful engagement with climate change (Enveloping Development through Cognitive Enactivism: engaging with climate change by changing apprehension of climate, 2009).

Earth spheres and planetary boundaries?

Any indication of the spheres associated with the atmosphere suggests the merit of recognizing other spheres of potential relevance, Wikipedia identifies Earth spheres as phenomena of the earth that are on, above or below the surface of the planet. These phenomena have a spatial extent and are usually more or less shell-like around the whole celestial body. They are divided into three groups:

A degree of clarification is offered in the distinction of spheres in the following. However it should be emphasized that the distinctions may vary according to the contrasting perspective of disciplines and schools of thought. As a suffix "-sphere" is readily appended to domains of preoccupation in the creation of neologisms, especially with respect to socio-cultural concerns. These may only be recognized to a limited degree.

Natural earth spheres: These are typically divided into four groups, within which other spheres may be distinguished, as with The 17 Spheres of Earth (EarthHow, 13 May 2022). Note the contrasting uses of "mesosphere".

Lithosphere Hydrosphere Atmosphere Biosphere

biosphere (ecosphere)

Featured in a comprehensive List of Earth Spheres (including synonyms and neologisms) additional to those above, are the following (excluding synonyms and neologisms).

Lithosphere Hydrosphere Atmosphere Biosphere

relief sphere


Partially natural spheres: agrosphere , chorosphere and landscape sphere toposphere

Planetary boundaries: The sense in which civilization is faced with a "spherological crisis" (discussed below) is evident from the recognition of planetary boundaries with which the spheres above are variously associated in systemic terms, as a consequence of human activity

J. Lokrantz/Azote based on Steffen et al. 2015., CC BY 4.0, via Wikimedia Commons

Will Steffen, et al: Planetary boundaries: Guiding human development on a changing planet. Science. 347, 2015, 6223)
Johan Rockström, et al: Planetary Boundaries: Exploring the Safe Operating Space for Humanity. Ecology and Society. 14, 2009, 2):

Socio-cultural spheres of global society

Academic spheres: There is clearly a tendency to associate "sphere" -- if only informally -- with many of the topics which are the focus of the many disciplines (Intellectual Disciplines and Sciences: cross-referenced to world problems, 1976).

Sectoral spheres: This tendency is also evident in references to sectors and domains of activity more generally, most notably in the identification of 12 Spheres of Life in the Humanity's Team initiative:

Spheres of influence: In addition to the reservation above with regard to the identification of "spheres" in relation to domains of preoccupation, the term is commonly used more loosely to define a sphere of interest or a sphere of influence. Examples of the latter, as noted by Wikipedia, include: Anglosphere, East Asian cultural sphere (aka Sinosphere), Eurosphere, Francosphere, Germanosphere, Greater East Asia Co-Prosperity Sphere (imperial influence of the Japanese Empire), Indosphere (Greater India), Persophere, Islamosphere, Slavisphere, Soviet sphere of influence, Yugosphere. Exceptional extensions of this pattern include Fatosphere, Jihadisphere, and consideration of gender-based spheres (Jone Johnson Lewis, Separate Spheres Ideology: women and men in their own places, ThoughtCo, 11 September 2019).

Missing from such an articulation based on a suffix, and an indication of a limitation of that framing, is the significance attributed to the American sphere of influence ( The US Has Its Own "Sphere of Influence" and It’s Huge, The Liberty Beacon, 8 March 2022; Graham Allison, The New Spheres of Influence: sharing the globe with other Great Powers, Foreign Affairs, March/April 2020).

Identifying additional spheres: Most of the spheres noted above are usefully noted in the Wiktionary page on Category:English words suffixed with -sphere. In endeavouring to identify those of cognitive relevance, the following can be excluded of secondary relevance to a cognitive focus, except to the extent that they may offer useful metaphors.

Culturally conditioned spheres: As noted above, recognition is accorded to "culturally conditioned earth spheres" which only exist because of human activity. As argued by Dieter Gerten, et al:

We consider the cultural component of the Earth system as important as biogeophysical, economic and technological components. Generally speaking, there is a need to account for the unique capability of humans... to act as a self-conscious force with foresight skills. Schellnhuber (1999) calls this collective cognitive capacity of humanity an immaterial, metaphysical "global subject" , which on the one hand happened to   have "conquered our planet"..., but on the other hand is now also on a quest for a more sustainable future as expressed in international agreements.... Thus, we like to emphasise... that the “global subject” is a manifold cultural phenomenon with distributed regional patterns as well as different aesthetical, cosmological and symbolic dimensions that coexist, evolve over time, and are driven rather by personal purposes or intentions than by functional or political purposes... (On deeper human dimensions in Earth system analysis and modelling  Earth System Dynamics, 2018)

These spheres are variously distinguished by different authors -- and possibly conflated -- with some considered (if at all) as subspheres of the anthroposphere. The manner in which the socio-cultural and psycho-cultural spheres are distinguished tends to be a reflection of the biases of the disciplines with regard to the natural sciences and the behavioural sciences, to the exclusion of those with a cognitive or spiritual emphasis.

Spheres of potential psych-social significance: The spheres noted above are variously supplemented by the following (notably as identified from the Wiktionary page):

Remedial capacity boundaries? Rather than the crisis of planetary boundaries noted above, any "spherological crisis" also calls for recognition of global civilization's "remedial capacity"in psycho-social terms, as presented below left from a separate discussion (Recognizing the Psychosocial Boundaries of Remedial Action: constraints on ensuring a safe operating space for humanity, 2009). The notion of a safe operating space for humanity framed by the planetary boundaries is central to the Oxfam Doughnut model, reproduced below left (Kate Raworth, A Safe and Just Space for Humanity: can we live within the doughnut?, 2012) and discussed separately (Exploring the Hidden Mysteries of Oxfam's Doughnut: recognizing the systemic negligence of an Earth Summit, 2012).

Nine Remedial Capacity Boundaries
(using the representational pattern of the Planetary Boundaries)
Oxfam Doughnut
Nine Remedial Capacity Boundaries Oxfam Doughnut

Cognitive metastasis: crisis of crises as a spherological meta-crisis?

Meta-crisis: As with the suffix "-sphere", the prefix "meta-" is readily associated with well-recognized disciplines to form neologisms -- which may not be widely accepted, if at all. There is therefore the possibility that a "meta-" dimension may emerge from many disciplines, or be proposed. Of particular interest is the shift in focus and perspective  and how it contrasts with long-standing issues in relation to transdisciplinarity and interdisciplinarity -- and any higher order of integration (Varieties of Disciplinarity, Interdisciplinarity and Transdisciplinarity, 1998; cf Integrative Knowledge Project). In addition to the connectivity these imply, there is the significance of a "meta-perspective" as variously understood to suggest a transcendent perspective potentially with a relatively high degree of self-reference.

Arguably the "crisis of crises", anticipated by John Platt, may well be a consequence of a failure of meta-reflection -- and not of inter- or trans-disciplinarity methodologies as often assumed, As a meta-crisis it can be variously understood:

The question is whether the array of meta-disciplines and methodologies lacks a similar degree of "joined-up", self-referential thinking. Is the crisis of crises a meta-crisis, namely a crisis in meta-capacity?

Variety of meta-perspectives: Given the possibility that the crises of the times are engendered or sustained by inadequacies of any "meta-perspective", it is appropriate to explore the use currently made of "meta" in the widest variety of contexts. One approach is to use web facilities for listing "words starting with meta", of which there are several. Most fruitful proved to be use of that method in relation to entries in Wikipedia for which the facility All pages with prefix is provided. This offers a list of some 5,900 entries in total, or 2,700 with the exclusion of redirects. As presented below, these can be usefully and provisionally reduced to 139 by the exclusion of: variant spellings, species, collective initiatives, place names, products, and references to works of art -- although these are indeed potentially indicative of recognition of a meta-perspective.

In the presentation below, no distinction is made between terms in which the prefix "meta" may be followed by a hyphen, a space, or neither. The tentative clustering by column is used to distinguish terms of potentially greater relevance to the cognitive emphasis of the above argument (right hand column) from those which may be considered of less immediate relevance, despite the valuable implications they may offer (left hand column).

Tentative clustering of meta-perspectives
Technical / Descriptive Analytic / Operational Behavioural / Practice Cognitive / Self-referential

meta data
metamerism (color)
meta noise
meta search

meta class
meta guiding
metasymplectic geometry

meta censorship
meta humour
meta level
meta marketing

meta memory
metanoia (psychology)
metanoia (rhetoric)
metanoia (theology)
meta thinking

Cognitive metastasis? There is a curious sense in which the very proliferation of seemingly unrelated meta-perspectives is indicative of "cognitive metastasis". As "brain metstasis" the cognitive implications are readily associated with the pathology of brain cancer:

These variously note that brain metastases are common, occurring in 20-30% of cancer patients.

However it is its use as a metaphor which merits consideration -- potentially in relation to any understanding of the global brain. For example, a chapter is devoted to "cognitive metastasis" by Zahra Mesrizadeh (The God of the Gaps: understanding science through the lens of religion and politics, 2021). The focus on the potential transcendence offered by a meta-perspective is then paradoxically associated with a psychosocial interpretation of the title of the study by Thomas Homer-Dixon The Upside of Down: catastrophe, creativity, and the renewal of civilization, 2006).

Readily explored as a metaphor, the implications of cancer for society call for cognitive consideration (Dennis Meadows, Uncontrolled Growth, the cancer of society, must be stopped, Le Monde, 15 April 2022; Mercedes B. Suleik, Corruption: cancer of society, Business Mirror, 27 August 2015; Ahmed Rashidi, We must seek cure for societal cancer, Tallahassee Democrat, 29 July 2016).

Meta-sphere and global spherological crisis?

Any cognitive analogue to the nested spheres of the atmosphere (as detailed above) requires a degree of consideration of the magnum opus of the philosopher Peter Sloterdijk (Spheres), 1998). Spheres deals with "spaces of coexistence", spaces commonly overlooked or taken for granted which conceal information crucial to developing an understanding of humanity. A valuable review of the first volume by John Ganz notes:

For Sloterdijk, this crisis of modernity and post-enlightenment... is a spherological crisis: it concerns the gradual destruction of those protective -- or immunlogical, to use Sloterdijk’s terminology -- membranes that mankind dwelled in for millenia, the bursting of the shared spaces that human beings had cultivated to provide meaning, metaphysical comfort, and shelter from the inhuman exterior. This metaphor of the sphere—the preservation, growth, and development of which can be thought of as the sole preoccupation of what we call culture -- shares with Sloterdijk’s style in general the quality of being astonishing, strange, and novel, as well as being, at the same time, familiar, intuitive, and even self-evident....

Rather than taking philosophy as a purely theoretical enterprise concerned with developing a disinterested, complete picture of the world, this conception treats it as a therapeutic method, a way in which to affect change in oneself. As a very ancient technique for the support of human life, it’s unclear whether philosophy can compete with the rapid proliferation of new technologies of human augmentation. If philosophy has a place in this world, it looks like this.

Although without specific reference to metasphere, other commentaries on Spheres include:

As indicated by Wolfgang Lueckel:

For the reliability of any given social system, Niklas Luhmann proposed a concept that he called "second-order observation". This mandates the presence of a metasphere of observation beyond what Luhmann called the basic-level observer of the first order. Observation is necessary to evaluate the state of a society and to find distinctions between different states, objects, or persons. The second-order observation thus is an additional controlling element that places the direct observation under an additional layer of observation. The most important function of any kind of observation for Luhmann is the identification of "distinctions". For the observation of the second order that means: "If we wish to observe observation we must be able to draw distinctions between distinctions". (Atomic Apocalypse: ‘nuclear fiction’ in German literature and culture, ProQuest, 2010) [emphasis added]

Variety of understandings of metasphere

Technical framing: Of interest is the inspiration offered by "metaphere" for a number of commercial initiatives: Metasphere (providing remote telemetry solutions); Metaphere Technologies (hotel software); Metasphere (game in a sandbox metaverse). 

From the perspective of Aris Alexopoulos:

A meta-sphere is a term used for a sphere embedded inside a medium that gives effective doubly-negative permittivity and permeability. It is found that the scattering resonances can be manipulated via the meta-sphere parameters while the issue of reducing the scattering cross section to zero is examined. (Scattering Cross Section of a Meta-Sphere Progress In Electromagnetics Research Letters, 9, 2009)

For the IOTA Foundation, developing IOTA as an open, feeless data and value transfer protocol, most notably as a game platform. It is a distributed ledger and cryptocurrency designed for the Internet of things (IoT), opening the metaverse to everyone.

The Metasphere is an iteration of what the general public is expecting the metaverse to be. With the vast technological range and capabilities of IOTA, the possibilities are endless and the sky isn’t even close to being the limit!

The Metasphere is being developed and created by IOTA+ AG and has visions of being the most widely used metaverse in crypto, not just on IOTA... the lead project manager at IOTA+, has a vision that every average person or gamer can enter the metasphere without the need to deep dive into crypto and without being confronted with all the token and staking stuff. People should be able to leverage the advantages of crypto, like NFTs, without the need to dive into all the specifics. Furthermore, it would be cool to see Sphere evolve into a real metaverse, while also attracting companies, individuals, and whoever is interested…(Introduction to Sphere)

Under the banner of Metasphere, an interdisciplinary team of researchers, data scientists, designers and developers works on digital systems to facilitate the transformation of information to knowledge. A presentation has been made on the theme: Metaphors of the Metasphere, Utrecht Mini Symposium 'Meta' Paris, 19 May 2006) by Marianne van den Boomen.

Cultural/Aeshetic framing: In 1992, a year designated the International Space Year by the United Nations with the theme "Mission to Planet Earth", Roger Malina commented on a series of articles in Leonardo exploring what space means for art and culture (The Cultural Dimension of Space Exploration, Leonardo, 25, 1992, 1). Malina concluded that: The cultural dimension of space exploration is not a secondary issue -- it is part of the very commitment that makes space exploration possible. That early perspective was reprinted as Leonardo Thinks 1968 – 2011: historical opinion, Leonardo Electronic Alamanac, 3 June 2011).

A growing movement of artists is creating art in zero gravity -- both in parabolic flights and in outer space itself. The pioneer has been Lowry Burgess. When one of his sculptures was launched into orbit in 1989, it became the first official non-scientific payload in space. Interviewed by Amanda Gefter, the perspective of Burgess was featured as The Cosmos as Canvas  (New Scientist, 23 May 2007).

A valuable articulation of the Burgess perspective is presented as On the Dominance of the Metasphere: the visibilities and invisibilities of the ecology/exology of sky and space, which is a chapter in a compilation by Sherry Bell and Langdon Morris (Living in Space: cultural and social dynamics, opportunities and challenges in permanent space habitats, Apogee Books, 2009). Most accessible is that of Burgess himself (The Philosophical Aesthetics of Space Culture and Arts  Journal of Space Philosophy 1, 2012, 1).

As noted in a eulogy by his university:

Burgess was instrumental in leading a team of CMU students, faculty, and alumni, along with international artists, scientists, designers and engineers, to create Moon Ark, which will be carried to the moon as part of the Robotics Institute's competition for the Google Lunar XPrize. Like much of Burgess' artistic practice, this work pushed the boundaries of technology to outer space while creating a poetic examination of life on earth. (Conceptual Artist Lowry Burgess Reached For The Stars, Carnegie Mellon University, 4 February 2020)

Presented as a conversation with Burgess, the relation of the metasphere to the noosphere is framed as follows:

The Metasphere resides within the Noosphere, and intersects with Cyberspace.  Metasphere is seen in maps of finance, tracks of transactions across the globe.  Metadata flows from defense to energy, government sanctioned extradition over off to unimpeded access.  Metasphere is immanent, descending round the sanctioned psyche:  Leviathon uprising from the pentagon.  Metasphere will choke us all.

Meta is a neuroma in the Noosphere.  No drugged out trippers traipse enchanted in the pathways of the Metasphere. Art will prove an antidote -- but where is the vein in which to enter the measure? (is the metasphere resident in the noosphere? ZenGlop, 20 December 2007)

Reification and misplaced concreteness: A fundamental reservation with respect to any understanding of metasphere is the unconstrained tendency to appropriate subtle insights and render them into products -- most obviously commercial products and services. The commodification of values and qualities is already evident with respect to metasphere, as noted above.

The process is most evident in relation to the commodification of the deities of Ancient Greece and Ancient Rome. The Twelve Olympians of Greece have long been appropriated as trademarks, as with the corresponding Dii Consentes of Rome. This pattern is recognized more generally as reification, whether as the reification of knowledge, through which the representation of facts and/or assertions are transformed, or especially as the logical fallacy of misplaced concreteness.

Irrespective of the controversial of reification in Marxism, the process can be understood as an extreme form of cognitive perversion. It is comparable with the misappropriation of cultural property so characteristic of colonialism and the treatment of indigenous peoples.

Any framing of space through art, as undertaken by Burgess, merits critical consideration as a potential form of reification through which experience is degraded rather than enhanced. It recalls the familiar problem of indicating a distant focus of attention to a dog -- who then focuses attentively on the pointing finger rather than that to which it points. Ironically the point is well-made by the most famous painting by René́ Magritte (The Treachery of Images: This is Not a Pipe, 1929),

Metasphere and its symbolic connotations of higher and lower realms

Symbolic subtlety of hyperobjects: The many references to spheres could be understood as extremely ironic in a materialist society -- given that the spherical nature of the realms indicated above is seldom perceptible. Do they exist in reality? Are they merely psychosocial constructs -- even a product of pseudo-science?

As constructs are they however of fundamental importance in some integrative sense yet to be fully comprehended -- and possibly eluding comprehension? For example, should they be considered to be hyperobjects in the light of the arguments of Timothy Morton, namely objects that are so massively distributed in time and space as to transcend spatiotemporal specificity (Hyperobjects: philosophy and ecology after the End of the World, 2013). Such questions are especially relevant to the "higher degree" of order implied by a meta-sphere and the challenge to its comprehension -- a problematic engagement understood through metaphor (Comprehension of Unity as a Paradoxical Dynamic, 2019; Living with Incomprehension and Uncertainty, 2012)

The irony of the purported existence of such spheres is the resemblance they then bear to the traditional articulations of "heavenly spheres" and their problematic complements (Helena Avelar de Carvalho, et al, On the Heavenly Spheres: a treatise on traditional astrology, Martha Washington, The Heavenly Spheres: character of residents in each, and their occupations, Forgotten Books, 2018). This would be consistent to a degree with the allusive indication of Gregory Bateson (Angels Fear: toward an epistemology of the sacred, 1987).

There is a sense in which humanity finds it necessary to articulate such comprehensive subtle patterns and to associate them, however symbolically, with the perceptible. A degree of clarification of this process is offered by D. McConville (On the Evolution of the Heavenly Spheres: an enactive approach to cosmography, Semantic Scholar, 2014), appropriately cited by A. Muntean (Spherical encounters of the Anthropocene: from telescope to kaleidoscope, Semantic Scholar, 2020). The patterning potential is discussed in a critical review of Jeremy Lent's 5-fold study of the Patterning Instinct (Patterning Intuition with the Fifth Discipline, 2019).

Symbolic realms: In a period of global crisis, there is considerable irony to the topological association of the world with a doughnut given the above-mentioned use of the metaphor by Kate Raworth (Doughnut Economics: seven ways to think like a 21st-century economist. 2017; A Safe and Just Space for Humanity: can we live within the doughnut? Oxfam Discussion Papers, 2017; Introducing 'The Doughnut' of social and planetary boundaries for development, Oxfam International, 10 February 2012). This has evoked a preoccupation with doughnut economics in relation to achieving the UN's 17 Sustainable Development Goals. The metaphor featured in a gathering of the World Economic Forum (Kate Raworth, How to do business with doughnuts, 25 January 2018).

The irony is all the greater in that the widespread reference to nine "planetary boundaries" (mentioned above) derives from a presentation to the Club of Rome by the Stockholm Resilience Centre (Johan Rockström, et al., Planetary Boundaries: exploring the safe operating space for humanity, Ecology and Society, 14, 2009, 2). Curiously the boundaries have been strictly defined in purely physical terms, as challenged in a commentary thereon (Recognizing the Psychosocial Boundaries of Remedial Action: constraints on ensuring a safe operating space for humanity, 2009; Exploring the Hidden Mysteries of Oxfam's Doughnut: recognizing the systemic negligence of an Earth Summit, 2012).

Extensive significance of nine is characteristic of Norse mythology, most notably the nine worlds that are supported by Yggdrasil as the "World Tree" (Joshua J. Markby, Nine Realms of Norse CosmologyAncient History Encyclopedia, 20 December 2018). Ironically the Stockholm music label Acronym has separate recordings for both "Planetary boundaries" and "Yggdrasil" (the World Tree".

This reinforces any argument that the Stockholm Resilience Centre may have been influenced in some way in originally distinguishing nine such boundaries, as indicated separately (Axis Mundi, Yggdrasil, Omphalos and Sahasrara? 2020).

The case for a 9-fold winding of a torus (as a "doughnut") is presented separately (Imagining Toroidal Life as a Sustainable Alternative: from globalization to toroidization or back to flatland? 2019). This is reminiscent of arguments regarding the Potential implications of alternation and rotation in psychosocial fields in the light of the remarkable insights of Nikola Tesla (Reimagining Tesla's Creativity through Technomimicry Psychosocial empowerment by imagining charged conditions otherwise, 2014). 

Any quest for widespread popular comprehension of the "planetary boundaries" could be fruitfully associated with the intuitive (if not instinctual) appeal of toroidal motion. To what extent is this reflected in the appeal of many carousel-like fairground rides -- "merry-go-rounds" -- to which the animations below then bear a fruitful resemblance? It is probable that carousels in Nordic countries would use the 9 gods of Norse mythology in their rides.

In a period in which strange significance for world (dis)order is associated with an "Axis of Evil", references to an "Axis of Good" are exceptional and equally controversial (Axis of Good, Washington Monthly, July 2001; Towards an ‘Axis of Good’, Al Jazeera, 2 January 2006). There is however the possibility that the geometry of a meta-sphere implies a paradoxical polarity (Jonathan Melenson, The Axis of Good and Evil, Designing Games for Ethics: Models, Techniques and Frameworks, 2011; Sven Hansen, Tilting the Axis of Good and Evil, The Resilience Institute, 25 August 2016).

Religions are deprecated by science for the significance they accord to heaven and hell -- compounded by any recognition of their multiplicity and hierarchical articulation. There is therefore considerable irony to the recognition by science of multiple "spheres" or "realms" -- perhaps "heavenly" in the case of the disciplines, and "hellish" in the case of the "wicked problems" they face or ignore. There is therefore  a case for exploring useful representations of a metasphere encompassing such spheres.

Metaphere in relation to an Axis of Good and Evil?
Experimental animations of 9-fold pattern of planetary boundaries
inspired by the "World Tree" (Yggdrasil)
Yggdrasil-based annimation nine planetary boundaries
Reproduced from Imagining Toroidal Life as a Sustainable Alternative (2019)

Clues from traditions? With the suggestion above that the meta-realm merits consideration as a hyperobject, mnemonic clues can be sought for global governance from mathematical theology and hyperbolic tessellation (Engaging with Hyperreality through Demonique and Angelique? 2016). As presented below, one experimental presentation of that exploration of a traditional articulation derived from the 72-fold angels of the Shemhamphorash complemented by the set of 72 demons (List of demons in the Ars GoetiaGoetia Demons). These have some resemblance to the Tree of Life which is the focus of the traditional Kabbalah; the angels are held to be the inhabitants of that 10-fold pattern, with its 22 interconnecting pathways.

Experimental configurations alternating between sets of 72 angels and 72 demons
reproduced from Hyperbolic reframing of the Demonique and Angelique of tradition (2016)
Animation of 8 sets of 9
(enlargements for detail: angels / demons)
Animation of 9 sets of 8
(enlargements for detail: angels / demons)
Experimental configuration alternating between the 72 angels and demons Experimental configuration alternating between the 72 angels and demons
The allocation of sets to the star "tables" in the above schematics is based on the tabular form in which the 72 angels and demons are typically presented. The rows are presented "around the tables" in one schematic, and the columns are presented "around the tables" in the other. The sequence around the tables is questionable, demanding further consideration.

Similar animations could, for example, be explored with the sets of peaceful deities and wrathful deities of Buddhism or Hinduism (Kalyanaraman Srinivasa, Multiple Hells and Heavens in Hinduism, Springtree, 20 February 2014). As indicated with respect to the Hindu understanding of a "multiverse with multiple worlds":

Hindus who are well versed in scriptures do not believe in just one heaven or one hell. They believe in multiple heavens or worlds of light and multiple hells or worlds of darkness, stretching across the vast spaces of the manifest universe like beads upon the thread of Brahman. According to Hindu cosmology, creation is an endless phenomenon, as mysterious as the mystery of the Divinity itself. (Hinduism, Life after Death and Planes of Existence, HinduWebsite)

Engendering the metasphere through metaphor

Enacting versus Engendering -- acquiring "possession"? Reference to a cognitive frontier in the sub-title of this argument suggests the possibility of acquiring some form of exclusive possession of an unexplored terrain -- a terra nullius. With respect to the metasphere, any such sense is potentially illusory; ownership of "meta-terrain" cannot be achieved in any conventional sense. The metasphere as envisaged in this argument calls for a more subtle mode of engagement, as separately discussed (Affinity, Diaspora, Identity, Reunification, Return: reimagining possibilities of engaging with place and time, 2013).

Property "possession" and ownership
Questionable claims to possession
Possession of a sense of place
Divided realms and domains as variously possessed
Dispossession, repossession and being possessed
Possession of a worldview within the noosphere
Associative diasporas and degrees of possession
Reimagining unification and reunification through metaphor

Of particular relevance, as discussed there is the psycho-social appropriation of a space at the collective level, described by the process of land nam as coined by Ananda Coomaraswamy (The Rg Veda as Land-Nama Bok, 1935), to refer to the Icelandic tradition of claiming ownership of uninhabited spaces through weaving together a metaphor of geography of place into a unique mythic story. This territorial appropriation process, notably practiced by the Navaho and the Vedic Aryans, was further described by Joseph Campbell (The Inner Reaches of Outer Space: metaphor as myth and religion, 2002):

Land nam ("land claiming or taking") was [the Norse] technical term for this way of sanctifying a region, converting it thereby into an at once psychologically and metaphysical Holy Land.... Land nam, mythologization, has been the universally practiced method to bring this intelligible kingdom to view in the mind's eye. The Promised Land, therefore, is any landscape recognized as mythologically transparent, and the method of acquisition of such territory is not by prosaic physical action, but poetically, by intelligence and the method of art; so that the human being should be dwelling in the two worlds simultaneously of the illuminated moon and the illuminating sun.

This is potentially indicative of the manner in which the metasphere is engendered as an inhabitable space, whether for the individual or the collective. However the process may be better understood through the descriptions of enactivism. As argued by Francisco Varela, et al. (The Embodied Mind: cognitive science and human experience, 1992):

The key point, then, is that the species brings forth and specifies its own domain of problems ...this domain does not exist "out there" in an environment that acts as a landing pad for organisms that somehow drop or parachute into the world. Instead, living beings and their environments stand in relation to each other through mutual specification or codetermination (p. 198).

Metaphor as the primary means of "going meta": The emphasis here is on the capacity of metaphor to ensure the requisite connectivity by which a viable psycho-social system is engendered and sustained (Correlating a Requisite Diversity of Metaphorical Patterns, 2015; Innovative Global Management through Metaphor, 1989). This is notably evident in the array of figures of speech people choose to employ (Questionable Classification of Figures of Speech, 2016). These are now fundamental to the need for powerful rhetoric in governance.

As argued by Varela, in the light of insights from Buddhism, it is a case of "laying down the path through walking". There is however a considerable challenge to the manner in which the sciences and the arts seek a degree of hegemony in exclusive appropriation of cognitive space. Whilst an aesthetic revolution is a welcome complement, it is less evident whether those promoting it, as with Lowry Burgess, are sensitive to its limitations (Martha Senger, Aesthetic Phase Shift: the coming reformation in fractal space-time, G2 Institute for Integral Aesthetics; Aesthetic Bootstrapping in the Wake of Art or Reviving the Epic in an Era of Irony) The latter offers insights into how aesthetics relates to the sciences of chaos and performing the real.

Metaphorizing discourse: There is no difficulty in recognizing the extent to which discourse has become problematic, whether in national assemblies, parliaments, or the media (social media or otherwise). The current scene has been described as poisonously divisive. Each faction is adamant that the facts and principles it presents are beyond question. Each is necessarily right, with any in disagreement being by definition wrong. Discourse between nations, between religions, between political parties, and between disciplines currently offers little hope for a more fruitful modality.

Curiously efforts towards transcending this situation -- if they are more than tokenistic -- seem to be readily entrapped by the same dynamic. Each is necessarily right or better, with others essentially misguided, misinformed or behind the times. A distinctive mode could be explored which does not rely on facts and truth as commonly understood, or on the deprecation of fake news and pretence. The focus is then not on being right or wrong or the attribution of blame.

As argued separately, the question is whether discourse could shift from dispute with regard to facts and principles to a process in which their definitive and determinative nature is continually reframed through metaphor (Metaphorizing Dialogue to Enact a Flow Culture, 2019). How divisiveness might be transcended  by systematic embodiment of metaphor in discourse is explored there in the following:

Metaphorizing -- beyond one-off usage
Sustaining dialogue through metaphor?
Indicative precedents of metaphorizing skills
Discourse and debate reframed as cognitive combat through metaphor?
Integrity of metaphorizing framed by complementarity between alternatives
Imagining a relevant philosophers' game -- and beyond
Requisite metaphoric "circumlocution" avoiding disruptive disagreement
Sustainable discourse framed metaphorically as "orbiting"
Metaphorizing as artful indulgence in misplaced concreteness?
Re-imagining: metaphorizing, metamorphizing and cognitive shapeshifting
Sustainable discourse: longest conflict versus longest conversation?

Potential and constraints of geometrical metaphors: There is a curious embodiment in common metaphorical phrases of seemingly fundamental intuitive understanding relating to globality. These are expressed in terms of abstract geometrical forms: points, lines, volumes, and the like (Metaphorical Geometry in Quest of Globality -- in response to global governance challenges, 2009). For example, the current international focus of efforts to "fix" the global financial system is through an approach of dimensionality inadequate to the complexity it represents -- if only in terms of the metaphors used to communicate the challenge. The issues are discussed separately in detail in relation to more complex possibilities (Engaging with Globality -- through cognitive lines, circlets, crowns or holes, 2009)

Of some relevance are the "complementary" perspectives Maurice F. Stanley (The Geometry of Ethics, Paideia, 1998) and David Rapport Lachterman (The Ethics of Geometry: a genealogy of modernity, 1989).

Methodology with respect to metaphor. As clarified by Wikipedia:

Memetic warfare / cognitive warfare: Various cultures cultivate myths with regard to warfare between deities. Although readily dismissed as myths, such gods can be understood as metaphors for what are now explored as fundamental cultural mems associated with distinctive values. It is to be expected that the metasphere will provide an arena for metaphorical warfare.

Such warfare is consistent with the evolution of information warfare into memetic warfare and cognitive warfare. The use of war as metaphor is a longstanding literary and rhetorical trope. In political usage, war metaphors are used to manage a perceived societal problem, with the concept taking the place of an individual or state enemy in true war (Review of the Range of Virtual Wars, 2005).

From cognitive exodus to cognitive home-coming?

Home-coming? As presented above, the shift in emphasis to a metasphere perspective from any focus on spheres merits "re-cognition" from a cognitive perspective. It could be framed as a paradigm shift. The title of the discussion refers to a "global exodus", thereby suggesting a complex nexus of connotations.

It is somewhat amusing to note the exchanges in quest of of an appropriate antonym for "exodus" (Antonym of "exodus" English Language and Usage). Candidates discussed include "introdus" and "influx" -- after setting aside "introitus" and "introit", given their vaginal and liturgical ambiguity. Potentially more relevant however is the sense of "home-coming", rather than any inward migration. This offers useful connotations of "return of the prodigal", "rebirth", "renaissance", and "eternal return" -- in addition to any process of enantiodromia  (Varieties of Rebirth: distinguishing ways of being "born again", 2004). The latter distinguished the experiential implications of:

  1. Cultural rebirth (renaissance, aesthetic birth, mytho-poesis)
  2. Socio-religious rebirth (birthright, destiny, reincarnation, social status, ceremony, ritual, group affiliation, games, sports)
  3. Psycho-behavioural rebirth (sin-to-virtue, changing patterns of consumption, conversion)
  4. Developmental rebirth (education, perspective, initiation, cultural creativity, individuation)
  5. Therapeutical rebirth (release from trauma, mentors, self-help, discipleship)
  6. Cognitive perspective (metacognition, critical thinking, philosophy, aesthetic sensibility, orders of thinking, systematics, orders of abstraction, disciplines of action)
  7. Experiential rebirth (operacy, flow, embodiment of mind, speaking with God, born-again, possession, psychedelic experience, embodiment in song, spiritual rebirth)

Terraforming? Such a home-coming is then to be contrasted with the excitement evoked by "going to the stars", namely imaginative projections with respect to the physical migration of humanity to near space or outer-space. That exodus is then reframed as a form of return to a cognitive home-land -- "re-cognized" otherwise. The shift away from a planet held to be "uninhabitable" is then not physical but cognitive -- however that can be understood as a transformation of perspective. Rather than any technical focus on terraforming other planets -- modifying their atmosphere, temperature, surface topography or ecology -- the focus is then on the cognitive terraforming of Earth, namely the possibilities of engaging otherwise with its "spheres" to render it cognitively habitable.

The elitist fantasy of enabling the migration of the few to outer space locations necessarily implies the problematic condition of those who do not benefit from this physical transition. In cognitive terms this has been evoked with respect to any rebirth, understood in spiritual terms, namely the tragic circumstances of the "left-behind". Unfortunately that meme is currently relevant to the disadvantaged populations of the planet -- and a major driver for the migration crisis. This is despite the rapidly degrading conditions of the societies attracting such migration -- in terms of quality of life whether understood physically or cognitively.

The focus on physical exodus from Earth therefore merits recognition as a form of mass distraction or mass deception (Strategic Opportunities of the Twice Born: reflections on systemic camouflage of mass deception, 2004).

Cognitive terraforming? Given the imagination applied to the technology of physical terraforming, and its fictional representation, the question is how any form of cognitive terraforming is to be imagined and developed.

The simple default response is through the use of psychoactive substances -- a response massively employed worldwide at all levels of society. By contrast, the technical creativity applied to articulating the complex possibilities of terraforming the spheres of other planets merits recognition as indicative of the complexity to be envisaged in cognitive terraforming.

As yet to be fully explored are the possibilities of radical cognitive engagement with environmental categories and disciplines (Existential Embodiment of Externalities, 2009). These could be fundamental to a more fruitful strategic engagement with climate change (Weather Metaphors as Whether Metaphors, 2015). This argues the case for transcending solar illusion via a Galilean-style cognitive revolution. Such arguments suggest the necessity for radical engagement with an increasingly surreal reality (Cognitive Embodiment of Nature "Re-cognized" Systemically, 2018; Enveloping Development through Cognitive Enactivism: engaging with climate change by changing apprehension of climate, 2009).

Requisite cognitive eversion? The nature of a sphere has acquired considerable familiarity, most obviously through ball games. This has extended to understandings of global, most notably through images of Earth from space. The recognition that humans "inhabit" the Earth by "living on" a sphere is held to be unquestionable. This is the case even though through the revolution of the planet around the Sun suggests that, from another perspective, humans "live on" the torus traced out by that annual cycle (Imagining Toroidal Life as a Sustainable Alternative: from globalization to toroidization or back to flatland? 2019).

The assumption that humans "live in" three dimensions alone -- in cognitive terms -- can also be questioned, as argued separately (Ronald Atkin, Multidimensional Man; can man live in 3-dimensional space? 1981; Antonio de Nicolas, Meditations through the Rig Veda: four-dimensional man, 2003). It is in the light of such arguments that it is appropriate to ask whether any possibility of "living in" a metasphere calls for a radical process of turning the conventional perspective "inside-out".

The seeming impossibility of doing so is usefully challenged by the geometrical process described as eversion or inversion. However improbable, this can be visualized in the case of the cube, as illustrated separately (Inversion of the cube and related forms: configuring discourse otherwise? 2018). Equally improbable is the possibility of turning a torus inside-out, or transforming a sphere into a torus, as illustrated in the following animations.

Animations of transformation of a sphere in relation to a torus
Turning a punctured torus inside-out Ring torus becomes a horn torus, then a spindle torus, and finally degenerates into a sphere.
Animation of torus-sphere transformation
By w:en:User:Surot - English Wikipedia, Public Domain, Link User:Kieff [Public domain], via Wikimedia Commons

As argued separately, such a process may be required if there is to be any possibility of reconciling the "headless hearts" with the "heartless heads" (Time for Provocative Mnemonic Aids to Systemic Connectivity? 2018). With respect to access to a metaspherical perspective, the radical nature of the cognitive process is suggested by the following animations of turning a sphere inside out in a three-dimensional space. In differential topology, this is known as sphere eversion, extensively discussed in the Wikipedia entry from which the following are reproduced.

A valuable representation and explanation of the Bednorz and Bednorz version (left) is provided by Ricky Reusser (Sphere Eversion, 29 June 2020). Screen shots derived from that smooth animation are presented in the central animation below -- in which a blue sphere is turned inside-out to reveal the orange inner surface.

Animations of sphere eversion
Analytic sphere eversion Screen shot animation of ruled surface version Using Thurston's corrugations
Animation of analytic sphere eversion Animation of sphere eversion using Thurston's corrugations
Reproduced from Wikipedia as described by Adam Bednorz and Witold Bednorz, Analytic sphere eversion using ruled surrfaces (Differential Geometry and Its Applications. 64, 2019, June) Adapted from animation of Bednorz and Bednorz version presented by Ricky Reusser (Sphere Eversion, 29 June 2020) Carsten Steger, CC BY-SA 4.0, via Wikimedia Commons

With respect to the "magic" of the seemingly improbable transformation process, as further clarified by Ricky Reusser (Sphere Eversion, 2020), he presents a detailed animation of the particular portion of the animation by Bednorz and Bednorz (2019), from which the version (below right) is derived.  The Wikipedia entry offers a set of explanatory screen shots of the original version, presented below as separate animations.

Animations of ruled surface sphere eversion (detail)
Top view Side view Diagonal view  
Adamb76, CC BY 4.0, via Wikimedia Commons Adapted from animation of Bednorz and Bednorz version presented by Ricky Reusser (Sphere Eversion, 29 June 2020)

References to eversion do not offer any indication of the potential cognitive and psycho-social implications -- despite their challenge to conventional understandings of globality and globalization. Ruled surface animation is valuable in suggesting transformation of the pattern of connectivity of the global "network of externalities" into a network of "internalities" -- with "global" as then understood coherently through embodied cognition. This could prove to be a key to fruitful psycho-social engagement with climate change.

The animations are necessarily indicative of a complex cognitive transformation for which other links are usefully provided by Reusser relevant to both this eversion and the topic in general:

Provocatively it might be asked whether the fundamental attraction of sexual intercourse and its consummation is an experiential "exploration" of the "magic" of cognitive eversion (Human Intercourse: Intercourse with Nature and Intercourse with the Other, 2007). The possibilities of living "inside-out" or "outside-in" invite imaginative reflection, as with the following:

The latter presents the challenge in the following terms:

Incoherence of external reality
Transformation of worldview from "inside-outside" to "outside-inside"
Imagining a window of strategic opportunity for change
Insightful confusion: outside-in, inversion, introversion?
Alleviating the "weight" of external matters
Alternation of worldview between "inside-outside" and "outside-inside"
Paradoxical cycling between "inside-outside" and "outside-inside"
Paracycling: towards a terminological and visual clarification
Sphere eversion as guide to the cognitive twist of global introversion?
Imagining transcendence appropriately challenging to comprehension
Approaches to distinguishing requisite cognitive variety
Paradoxically dynamic coherence of internalized "pantheons"
Engaging with "peaceful" and "wrathful" deities
Embodying the world as a strategic opportunity

Metasphere as a psycho-social Dyson sphere? A Dyson sphere is a hypothetical megastructure envisaged by astrophysicists. It completely encompasses a star and captures a large percentage of its solar power output. It is used to explain how a spacefaring civilization would meet its energy requirements once those requirements exceed what can be generated from the home planet's resources alone -- an immediate prospect for Earth-based civilization. As conceived in physical terms, construction of such a sphere far exceeds human capacity.

There is however the possibility that any design of the metasphere could be explored as a psycho-social Dyson sphere -- a psycho-social construct. This potentially combines insights regarding the sociosphere, the psychosphere. and the cognitive sphere. In this non-material sense, engendering it is far more feasiible as a process . This would be consistent with recognition of the central role of the Sun in the symbolism and myth of many cultures, most obviously with respect to insight and creativity. How humanity might dwell cognitively on the inner surface of such a sphere has been a feature of science fiction. Variants hypothesized include the so-called Dyson swarm, Dyson bubble and Dyson shell, in addition to other types: Dyson net, Bubbleworld, Stellar engine, and Niven Ring

It is intriguing to note that the current design of tensegrity structures (sustained by tensional integrity) offers clues to the potential ordering of the networks characteristic of psycho-social organization -- with implications for engendering a Dyson sphere (Transcending Psychosocial Polarization with Tensesgrity: biomimetic clues to collective resilience and unshackling knowledge, 2021; From Networking to Tensegrity Organization, 1984).

The relatively simple spherical tensegrity (below left) is curiously suggestive of the form of a birds nest understood dynamically. With "nest" as a common metaphor for home -- and nest-building as home-building, a tensegrity is the indicative of how challenging polarities might be coherently configured as a "cognitive home", whether by an individual, a group, or global society. As one example, a celebrated early image of a complex tensegrity is a feature of a page on 92-prism tensegrity in Tensegrity Wiki where it is analyzed by Taffgoch and Adrian Rossiter (of Antiprism). The tensegrity can now be generated by Antiprism Polyhedron Modelling Software as indicated there.

Given the possibility of multiple rings to form a Dyson shell, the third animation is based on a "gyroscopic" configuration of the 20 rings of the Crown Chakra. With their traditional cognitive implications, these have been separately explored with respect to the strategic viability of interrelating 1,000 perspectives in virtual reality (Global Insight from Crown Chakra Dynamics in 3D? 2020). Also with cognitive implications, the 3-ring configuration of I Ching hexagrams in virtual reality (far right) derives from an exploration of cognitive coherence (Framing Cognitive Space for Higher Order Coherence, 2019).

Clues to organization of a Dyson metasphere?
Animations illustrating simple and complex tensegrity structures
Icosahedral tensegrety Multilayer dome generated with Antiprism from 3-frequency icosahedron dual as a prism tensegrity sphere Clues from possible "gyroscopic" movement of multiple "Dyson rings"
(see variants)
Mutually orthogonal configuration of  3 circles of 64 hexagrams within a drilled truncated cube
Spherical tensegrity animation Rotation of multilayer dome generated with Antiprism Representation of crown chakra with 20 rings rotating on various axes Drilled truncated cube with rotation of 3 mutually orthogonal circles of 64 hexagrams
  Imperfect reproduction of Antiprism animation interactive web -- mp4 -- x3d  

Cognitive twist entangling space and time? The time travel meme has long been rendered familiar by science fiction. Far less known is the manner in which physics now recognizes an increasing degree of equivalence between space and time which renders such possibilities probable rather than a matter of fantasy. This has recently resulted in the formation of space-time crystals as a result of the development of quantum mechanics -- despite its theoretical obscurity and with implications for quantum computing (Pennsylvania State University, Spacetime crystals proposed by placing space and time on an equal footing, 27 May 2021; Keith Cooper, 'Time crystals' work around laws of physics to offer new era of quantum computing, Space, June 2022; Lancaster University, Time crystals 'impossible' but obey quantum physics, LiveScience, 2 June 2022).

Although the focus of such physics is on the radical transformation of matter alone, the potential cognitive and psycho-social implications are attracting attention, as exemplified by the work of Alexander Wendt (Quantum Mind and Social Science: unifying physical and social ontology, 2015; The mind-body problem and social science: motivating a quantum social theory, Journal for the Theory of Social Behaviour, 48, 2018, 2).

The pandemic and its consequences have highlighted widespread concern with the increasingly elusive possibility of conditions returning to "normal". This is now framed as "the light at the end of the tunnel". Recognition that it is becoming unreasonable to expect to return to that old "normal" -- whether or not that is desirable -- discussion has however shifted to understanding the nature of the so-called "new normal" (The New Normal – what needs to be different than before? UNESCO Futures of Education; The New Normal and Coronavirus, Johns Hopkins Medicine; Hans Eicholz, Defining the “New Normal” after Covid-19 will Require More Just Scientific Expertise, EconLib; Covid-19: What does the 'new normal' mean? The Star, 21 May 2020; This Week in the New Normal, OffGuardian, August-September 2021).

Space-time crystals may well suggest the possibility of metaphorical clues to viable global governance of the surreal, as argued separately (Enabling the "New Normal" through "Renormalization", 2021):

Topological challenges to the geometry of globalization and polarization
Space-time crystals as fundamental to comprehension of global order
Via sphere, torus and hyperbola to space-time crystals of governance?
Comprehension of requisite complexity through game-ball design?
Contrasting forms of coherence framed by positive and negative curvature
Space-time crystals as space-time polyhedra fundamental to appropriate organization
Imagining complementary images of the shape of civilization
Logic of renormalization as enabling flying metaphorically understood?

Mysterious hole enabling "home-coming": A contrast was made above between the process of exodus from an increasingly uninhabitable planet and a complementary home-coming into a metasphere. The animations above usefully frame the role of a hole in enabling the seemingly improbable transformation from one form to another (Mistaken recognition of holes repressed by a global focus? 2019)

From a cognitive perspective, there is then a case for clarifying the mysterious nature of any such hole as in the remarkable exploration by Roberto Casati and Achille C. Varzi (Holes and Other Superficialities, 1994) -- with respect to the borderlines of metaphysics, everyday geometry, and the theory of perception (reviewed by Steven A. Gross, What's in a Hole? The Harvard Review of Philosophy, 1994). They seek to answer two basic questions: Do holes really exist? And if so, what are they, as queried in an extensive entry on holes in the Stanford Encyclopedia of Philosophy.

It is therefore intriguing to note the importance to the culture of the Roman Empire of the hole understood as enabling entry into the underworld of Hades -- the point of entry now claimed by archaeologists to be at Baiae in Italy (Robert F. Paget, In the Footsteps of Orpheus: the story of the finding and identification of the lost entrance to Hades, the Oracle of the Dead, the River Styx and the Infernal Regions of the Greeks, 1967).

This usefully frames the question of how a netherworld merits integration into modern governance (Cognitive embodiment of an "underworld" into governance, 2010). The question is especially pertinent given the continuing recognition of the role of evil by the highest authorities (Ensuring Dynamics of Sustainability by Appreciative Recognition of Evil, 2022). Understood otherwise, the cognitive challenge  can be framed as Embracing error and the netherworld (2014) or as the Incorporation of evil into models of requisite subtlety(2022).

With "introitus" proposed as one antonym of "exodus" (as noted above), the mysterious nature of the requisite hole can be explored in terms of its vaginal connotations in the light insights from the sciences and the humanities regarding any form of renaissance (Engendering Invagination and Gastrulation of Globalization, 2010). Are the animations above, variously framing a hole, suggestive of the cognitive nature of the "birth channel" with which home-coming might be associated?

The process of home-coming also invites interpretation in the light of the symbolic significance -- as a strange attractor -- associated with sacred places like Jerusalem, especially when understood in terms of the mysterious nature of singularities (Jerusalem as a Symbolic Singularity: comprehending the dynamics of hyperreality as a challenge to conventional two-state reality, 2017). As noted in the latter, further insight is offered by use of "meta-", as in consideration of Jerusalem in terms of meta-cognition (36,600), meta-logic (3,850), meta-theory (10,700), meta-epistemology (1,440) meta-discourse (4,240), meta-design, meta-dialogue (213), meta-language (24,000), meta-organization (419,000) or meta-framework (916) -- in addition to meta-physics (401,000). The figures are those of unfiltered web search results at the time of writing for: Jerusalem metacognition, etc. These include studies by institutes based in Jerusalem -- potentially misleadingly.

The contrast has been made above between imaginative aspiration to exodus by space travel and a cognitive analogue as yet far from being appropriately explored. Metaphor offers one insight, as does abstraction. More curious is any cognitive analogue to the familiarity with the process of being "beamed up", as widely  popularized by Star Trek. A contrasting understanding is provided by the eschatological insight of evangelists into the process of rapture. A distinctive perspective is offered by the possibility of beaming oneself both "up" and "down" -- effectively alternating between physical reality and that of the metaphere (Living as an Imaginal Bridge between Worlds, 2011). In terms of the aesthetics of liminality, this could be described as being "betwixt and between".

Memorable "location" of the metasphere? The arguments above help to frame the question as to "where" the metasphere could be meaningfully understood to be located -- especially since it is "otherwise" rather than "elsewhere". The question can be explored in the light of a clarification by Ralph Abraham:

For Plato and  his followers there was a parallel universe in which mathematics resides, now and forever.  But for  the philosophical phenomenologists of the  19th and 20thcenturies, mathematics is a cultural artifact, in coevolution with the human mindand culture... But since the computer graphic revolution of the 1960s, new branches of contemporary mathematics -- such as chaos theory and fractal geometry -- have come to light. Fractal structures -- having a long and unquestioned existence before being introduced into the visual realm and hermeneutics of human apprehension and discussion -- have complicated the arguments. In this 21st century, a similar conundrum has emerged following the psychedelic revolution: what is the location and origin of the psychedelic state of consciousness? And taking these two questions in hand, what is the relationship of these two parallel universes? (Mathematics and Mysticism, 2015)

For Abraham, the dialectic of these two opposing views is essentially unresolvable, raising the question of where mathematics comes from. Citing the neurophenomenological study by George Lakoff and Rafael E. Núñez (Where Mathematics Comes From: how the embodied mind brings mathematics into being, 2000), Abraham examines these questions from the perspective of Neoplatonic cosmology, and from the viewpoint of personal experience with this cosmological model.

Given the cognitive interplay between sphere and torus as described above, one memorable approach to positioning the metasphere is the familiar rolling ball fountain (or rotating ball fountain) of which there are many images on the web (typically of commercial products, inhibiting reproduction of their images). Such devices use a hidden source of water to ensure the seemingly improbable rotation of a very heavy stone ball, suggested by the image on the left below. Variants take the form of rotating ring fountains.

As a mnemonic aid, the first wire frame perspective suggests a comprehensible manner in which the rotation is achieved. However the second perspective on the same model (a side view) indicates how that understanding is flawed.

Screen shots of animation of rolling ball fountain
exercise in indication of memorable "location" of the metasphere
Solid variant Wire frame variant I Wire frame variant II
Variant of rotating ball fountain design
Adaptation of model kindly developed by Sergey Bederov of Cortona3D. Separate interactive 3D version enables switching between variants

Another approach is to benefit from cognitive insights into the organization of music by the human brain as patterns of tones, as clarified by the work of Dmitri Tymoczko relating music and geometry (A Geometry of Music: harmony and counterpoint in the extended common practice, 2011; The Geometry of Musical Chords, Science, 313, 2006). The organization of tones in musical tuning and harmony has long been been explored in terms of the Tonnetz (a tone-network), namely a conceptual lattice diagram representing tonal space. Tymoczko has developed his understanding through its generalization (The Generalized TonnetzJournal of Music Theory, 56, 2012. 1). The central animation below is an adaptation of its representation as a torus by David Bulger -- with the addition of a sphere to suggest the manner in which the metasphere may be engendered through musical connectivity (Tone-of-voice insights from music and the organization of the Tonnetz, 2020)

The two approaches juxtapose sphere and torus in a somewhat simplistic manner, raising questions concerning how the sphere moves in relation to the torus -- usefully triggered by the operation of the fountains mentioned. The animation on the right suggests that the metasphere might well be understood as a "metatorus" -- through the interlocking of two tori (with access to an interactive 3D version). It is such a configuration which might prove more indicative of psycho-socially sensitive global knowledge architecture (Enabling Wisdom Dynamically within Intertwined Tori, 2012; Interlocking tori: combining the two alternative representations, 2006; Torc-bearing, Playing-ball, Scoring and Nesting, 2019; Aesthetic reconciliation of contrasting toroidal metaphors? 2019).

Although there are various reference to "meta-torus" from an aesthetic perspective, noteworthy is its relevance to new forms, as discussed and extensively illustrated by Xiaofei Guo, et al. (Non-orientable order and non-Abelian response in frustrated metamaterials, ResearchGate, November 2021).

Indication of approaches to memorable location of the metasphere
Toroidal view
of the neo-Riemannian Tonnetz
Animations of interlocking tori
Toroidal view of Tonnetz with sphere Animation of  virtual reality model of intertwined tori Animation of virtual reality model of intertwined tori
Adaptation of animation by Davidwbulger, Public domain, via Wikimedia Commons Model kindly developed by Sergey Bederov of Cortona3D.
See interactive 3D version


Ralph Abraham:

Ronald H. Atkin:

Helena Avelar de Carvalho and Luís Campos Ribeiro. On the Heavenly Spheres: a treatise on traditional astrology. American Federation of Astrologers, 2010

Gregory Bateon and Mary Catherine Bateson. Angels Fear: Towards an Epistemology of the Sacred. Hampton Press, 1987 [summary]

Gregory Bateson:

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Mary Catherine Bateson. Our Own Metaphor: a personal account of a conference on the effects of conscious purpose on human adaptation. Knopf, 1972

Sherry Bell and Langdon Morris (Eds.). Living in Space: cultural and social dynamics, opportunities and challenges in permanent space habitats. Apogee Books, 2009 [review]

Peter L. Berger and Thomas Luckmann. The Social Construction of Reality: a treatise in the sociology of knowledge. Anchor, 1966 [summary]

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Terrence W. Deacon:

Ugur Demiray , et al. Meta-Communication for Reflective Online Conversations: models for distance education. IGI Global, 2011

James Guy. Toward Repurposing the Human Mind. 2021 [summary]

Thomas Homer-Dixon. The Upside of Down: catastrophe, creativity, and the renewal of civilization. Knopf, 2006 [summary]

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George Lakoff , and Rafael E. Núñez.Where Mathematics Comes From: how the embodied mind brings mathematics into being, Basic Books, 2000 [summary]

Jeremy Lent:

Yuri M. Lotman. Universe of the Mind: a semiotic theory of culture. Indiana University Press, 1990 [review]

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