“The designs we see in nature are not chance. They rise naturally, spontaneously,
because they enhance access to flow…”

(any flows – including of: information, energy or matter)

Adrian Bejan

SynPlexity: Synergising Simplexity – Sustainable Emergent Critical Design
The areas of synthesis between complexity sciences, fractal geometry and the golden mean’s behaviours in dynamical systems over time: leading to an argument for an architectural design approach based on beauty, analogy, synesis and optimisation via emergent, contextual, vernacular-informed yet contemporary environmentally sustainable design. Where the whole is always greater than the sum of the parts.

Draft Issue 2.0 (Peer-reviewed by the Corresponding Editor of Nexus Network Journal Professor Vera W. de Spinadel and amended/elaborated upon in 2011 from the 1994 original published in AD magazine, John Wiley & Sons London)

E8-Feigenbaum diagram: Asynsis Optimal path to Universality?

I’m very honoured and grateful to have just visited the Pacific Science Institute in Maui, Hawaii and to hear from theoretical physicist and avid adventure sports avatar, Garrett Lisi that Asynsis geometries are also a key “elementary” signature fundamental to the Exceptional Lie groups behind his E8 Exceptionally Simple Theory of Everything – an alternative (and still evolving), unified field theory to String and Membrane theory. As Einstein said to Le Corbusier on the Asynsis geometry Modular: “…it makes a difficult job easier.”

Corbusier & Einstein @ Princeton

So are we on the “Dao of Design: Form follows Flow” path to Einstein’s “…Simple and Beautiful” principle of the universe?

E8

Connection: describing elementary particles in space time by rotations of E8 over space time

To celebrate the completion of NASA’s survey of the solar system, we share a new Music of the Spheres, a complexity-led, Newtonian-Relativity compliant QED for the #AsynsisConstructal geometric-thermodynamics paradigm in both time and space:

The relative sizes of all astronomical bodies throughout the universe is a Constructal distribution due to gravitational tension:

Researchers have explained why objects in the universe come in a wide variety of sizes, from the largest stars to the smallest asteroids — and it has a lot to do with how paint cracks when it dries. When a volume is under internal tension — as the early universe was due to gravity — the most efficient way to relieve that tension is by ‘cracking’ hierarchically — few large and many small.

2. Is the Hum a Music of the Spheres for our age? If confirmed, this appears to be more Asynsis-Constructal QED — more evidence (this time from celestial mechanics), that the emergence of Asynsis energy-resource optimal, analogical temporal-spatial geometries often and best describes Constructal irreversibility-thermodynamic behaviours in nature at all scales and time frames.

So the emergence of both the spatial scale and structure, coupled with the temporal stability of celestial bodies’ relative movements , appears to follow the AsynsisConstructal paradigm. So do we have a natural constant for emergenceitself? We would argue that the answer (in this pure “Pythagorean” case), would have to be a resounding “yes”.

“The logical conclusion is that feedback is present via perturbations…(that reveals energy minimisation and yields maximum (adaptive yet resilient), stability for the sun & planets as a complex dynamical system via a self-organised critical, poised-realm of universality).”

What if the universe wasn’t actually a closed system?

What if it was really an open, ephemeral, energy-dissipating, information-processing, entropy-exporting, far from equilibrium system instead?

What if it was processing and dissipating an energy input while also losing that energy via various sinks into an external environment— while also doing “useful work”; transiently self-organising and self-observingly increasing its information content and complexity as an inevitable consequence of thermodynamic irreversibility physics and elementary optimal, analogical and recursive geometries?

So is ET actually without? Possibly, just as Bacteria & Viruses are inside us, so we’re also, flowing within a universal super-organism or colony (just as we do on Earth — Gaia), like a celestial coral reef — but on a far grander, cosmic scale. Are we “loving the alien” — because we’re actually inside one? Is our “seed” universe a giant cosmological-scale, deep-time, emergent Poised Realm energy-dissipating, information processing, entropy-exporting, self-organising “boot-strapping”, Hofstadter “strange loop” feedback-led, vitaemimetic entity, which is in turn part of an even arbitrarily larger “tree” multiverse “ecosystem”?

That’s a natural implication of the optimal, beautiful, recursively multiscale, fractal geometries behind the #Asynsis#FormFollowsFlowparadigm; organising geometries that are often found embedded in complex systems and living beings — because, as Einstein said to Le Corbusier:

Dedicated to our dear mother & father: Janet & Tony Reading – and recently re-published on her birthday, plus to my brother Peter, and wife and mother of my two sons, Susy Zhu Xi, Nio and Max.

“All truth passes through three stages. First, it is ridiculed. Second, it is violently opposed. Third, it is accepted as being self-evident.”

What if the geometries of adaptivity and resilience in dynamical systems, be they galactic, stellar, planetary, or biosphere systems suggest an underlying, universal spatio-temporal harmony of scale and resonances?

So what indeed if the universe itself is thought of as a huge instantaneously, non-locally connected, quantum entangled ER=EPR (relativistic wormholes = quantum entanglement, as framed by Einstein Podolsky & Rosen in 1935 and recently reconciled by the likes of Leonard Susskind), quantum computing system, as a self-organising & observing Gaia-like super-organism after Smolin, Lovelock & Whitehead — or lifeform (besides big bang birth and big rip death; also processing information, minimising entropy production — exporting & leveraging it, growing, maintaining homeostasis, reproducing and evolving in deep-time, as a universe “figure” on a multiversal “ground”)?

What if the dark matter filaments that weave galaxy clusters together behave like Bose-Einstein condensates, allowing for the expanding, accelerating, growing universe to have instantaneous entanglement (in a metabolic-analogous “super-conducting” connectivity), across its vast extent?

Why does the Asynsis position see #CosmoGaia (the Universe — in a Copernican extension of the Earth-Gaia model, as a self-organised super-organism — as a space-time “Tree”, subject to #CosmologicalNaturalSelection), as the logical and ultimate conclusion of #Relativity?

Because of the Big Bang birth and Big Rip demise of the universe (cosmological constant — a terminal dark energy accelerated expansion), because of thermodynamic heat death; also processing & storing information (“metabolism” or (un)consciousness-#ERequalsEPR and #OrchOR panpsychism laws), the minimising of entropy production — exporting it via #Constructal flows into a multiversal environment, growing, maintaining homeostasis and perhaps reproducing via “seed” black holes and so evolving in deep-time, as a universe “figure” on a multiversal “ground” while continuously manifesting #Asynsis forms, multi-scale optimal, analogical design geometries — just as we also see in classical botany and phyllotaxis.

So these “alpha” and “omega” beginnings and endings of our universe suggest a life-span, while the other above behaviours can also be ascribed to what we more commonly associate with life-forms.

But can the universe actually be an open system that’s exporting and leveraging its entropy? Where could the entropy-sinks be? I speculate at least one sink is Black Hole holographic-fractal, quantum-critical, Bose-Einstein condensate analogue event horizons (which increase in area in proportion to their increasing entropy). They are literally, on the boundary of our universe, beyond which, there is no return, no more access to our time, nor to our space (except via Hawking radiation, which is indirect because that’s due to the very mixed fate of virtual particle pairs). There are fascinating links between #ERequalsEPR toy universe models and computational complexity #Universality on these event horizons — please see the pinned post here: https://www.facebook.com/pages/AsynSo%CF%86ia/202383966558282

Another conjecture I make is of gravity/entropy leaking into a bulk region beyond our 4D spacetime, so (according to M theory), explaining its extreme relative weakness. This could be another entropy-export mechanism, the former also being associated with multiversal reproduction (Cosmological Natural Selection — certain black holes seeding entire inflating multiverses in a potentially p-adic Cantor tree cascade), with the latter more a “metabolic” entropy disposal as a byproduct of gravity-assisted complexity increase via #AsynsisConstructal#Universality.

And what if biologicalvitalism & human consciousness is replaced by dynamical systems #universality as a classical analogue of quantum superpositions and entanglement (such as ER=EPR and φ-IIT vrs OrchOR)? What if our human consciousness is channeling a “quantum field” of consciousness from the Planck scale “below-within” us and the universal holofractal event horizon “above-beyond” us (since in this multi-scale p-adic model, our multiverse with our “baby”-bud universe is inside/after a black hole (or is it a white one?), which is in turn inside/after another “parent” outside/before universe in an arbitrarily-long cosmological chain), to achieve the full information-processing power of the human mind? This being further processing-powered by the sheer number of microtubules in our neurones and then their own synaptic network connections (collectively far more than the stars in our galaxy), further bolstered by our higher calorific food intake percentage over other higher mammals? So our minds become a quantum-criticaluniversality-led microcosm (a geometrical analogue — also processing as a φ-IIT neuronal network), of the entire macrocosm universe (perhaps sourcing its immense computational complexity information-processing power via ER=EPR wormhole-entanglement and OrchOR quantum coherence — both from the below-within quantum field and from above-beyond universal event horizon), which in turn, is a flowing “figure” on a multiversal “ground”?

Cosmologist Paul Davies on Black Holes & Asynsis geometries:

“Perhaps there is something in the warped architecture of the black hole that picks out φ, just as Phidias reputedly did with his Parthenon sculptures. Or perhaps the golden ratio is more deeply embedded in the structure of nature and this is one glimpse of it. Whatever the case, this example — and others that have fascinated mathematicians and artists for centuries — illustrates that what is significant in nature is also likely to be beautiful.”

Black Holes by their nature are poised on the very edge of our Universe, like cosmic sinkholes.

Also, the gravitational collapse of anything that falls into one is the exact time-reversal of a Big Bang, and both feature singularities as their ultimate termini — just in opposite temporal directions. The fact that they manifest Asynsis universality geometries (the geometries of optimally creative, beautiful behaviours in nature — exemplified by Penrose tilings and plant phyllotaxis-growth), at a crucial moment in their evolution — suggests much. Perhaps it’s when they do something creative themselves, so (as has been suggested by the likes of Lee Smolin and his Cosmological Natural Selection), if they are a kind of seed — could their Asynsis Golden Ratio modes be a cosmological germination event? Asynsis — Phi over SpaceTime — Creation Exemplified? #Asynsis & Naked #Singularities — another #Universality QED #BlackHoles & #GoldenRatio #Constructal via @CosmosMagazine

Design in nature, the rise of computational complexity (which is the mathematical bridge that connects ER to EPR), within this universe itself can also be described by the optimal, analogical flows of the Constructal law into the beautiful, simple forms of the Asynsis principle. Speaking of those ideal geometric forms; these designs in nature, they’re also flows: they’re signatures of thermodynamic processes, I’ve recently shared on TED.com how the golden ratio can also be seen as a temporal signature (an asymptotic convergence, to be precise), of dynamical systems universality, of how nature evolves emergent complexity most robustly, adaptively and rapidly. But really, looking exclusively at only Spatial interpretations are so last century anyway. We need to look at what nature is doing in Time, deeply irreversibile (multiversal?) Time. And does that also mean the entire repertoire of plant phyllotaxis is an illusion? Plants are telling us something, that we need to think harder about the Temporal, thermodynamics and growth, as Alan Turning did in his last research on the Asynsis geometry Fibonacci series, phyllotaxis and morphogenesis before he tragically died at an early age.

Wolfram Class 4 Rule 30 & 110 Cellular Automata (building on the work of John Conway’s Game of Life, Christopher Langton’s Edge of Chaos, Per Bak’s Self-Organised Criticality and Stuart Kauffman’s Poised Realm), most simply express these heuristics; which we see both in nature and in models of natural systems. They all display computational complexity universality behaviour and appear whenever nature is doing anything creative, including in lifeforms, ecosystems and arguably during the “fine-tuned” initial conditions of our universe. So we need to look at both the animate and inanimate, at the dynamical and space-time, not just the frozen and static. It seems the way nature works is to manifest the golden ratio not as a spatial fossil, rather an optimal temporal energy flow signature. An efficiency (& beauty) constant. All this current argument is only over the residue or sedimentary forms of these dynamical flows — so we are missing half the picture (as I’ve been sharing since first publication in AD Magazine, based on Masters studies in Architecture & Computer Science at the University of Westminster, London). Entropy begets Design — QED:

What the sciences of complexity and dynamical systems have been sharing recently is that the golden ratio is one of several optimal, analogical geometric signatures of how nature evolves emergent complexity most easily (most adaptively and resiliently — for the least energy-resource cost, with vital sustainability-promotion consequences) — over time. It’s a dynamical behaviour, a verb not a noun. It’s not the phone number, but the very action of dialing.

That dialing action may well be thought of in future as nature evolving its emergent properties, its laws over generations of universes in a multiversal fitness landscape, while always seeking the optimal and beautiful, least action, Occam’s razor, Asynsis #Universality solutions. Since these serial (& perhaps also parallel) universes are effectively experiencing life-cycles (as mentioned above, besides big bang birth and big rip death; also processing information, minimising entropy production — exporting it, growing, maintaining homeostasis, reproducing and evolving as a universe “figure” on a multiversal “ground”), perhaps they in future will also be seen as Darwinian life-forms, with their own emergent laws, constants and non-local behaviours at the quantum-scale — as their “metabolisms”?

If so, our current world view of the universe and planet as fundamentally dead, inanimate realms with only a thin veneer of life will have to change; since like the teachings of the Dao, we would then begin the see the entire Cosmos, with us embedded within, as alive.

The Asynsis #DaoOfDesign proposes that we better map nature’s ways to do it less damage while ensuring our own thriving. If we understand that to damage any nature is to injure a fellow lifeform, perhaps we will also become more respectful in how we interact with our environment?

This is not a new idea. Over 2000 years ago in the Philebus and Timaeus, Plato argues for the idea of a world soul or anima mundi.

According to Plato:

“This world (universe) is indeed a living being endowed with a soul and intelligence … a single visible living entity containing all other living entities, which by their nature are all related.”

Pythagorean-Platonic-Penrose western-origin geometries are taking us full circle — back to a panpsychist view, while through the #DaoOfDesign #FormFollowsFlow dual #Asynsis principle and #Constructal law paradigm; we are also finding real confluence with similar eastern-origin concepts from Daoism, Shinto and Zen Buddhism like Wabi-Sabi, which remind us of the Ta Panta Rhei “…all is flow” of the pre-Socratic philosopher, Heraclitus. Asynsis, via computer science and architecture — is a new synthesis of both traditions, that reveals how Nature designs most simply and beautifully (by optimally, analogically and recursively exporting and leveraging entropy in open energy-dissipating systems); in a manner that perhaps reveals her ultimate, profoundly universal (and likely multiversal), animation.

A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the less. Euclid’s Elements, Book VI, Definition 3

Golden Ratio in Time reveals how Nature Evolves Increasing Complexity for the Least Energy.

Asymmetry in space allows symmetries in time; innovation with sustainability exemplified. Not beyond (the standard model), both within and without, #E8#Asynsis#AsAboveSoBelow:

Surfer physicist wins Superparticle bet with Nobel laureate. Losing #SUSY, finding #Asynsis?

How our design and complexity ToE is for all scales (including the classical and so most relevant to the human scale), how Asynsis Information Geometry via Universality is a source-code for Emergence which links Quantum, Relativistic and Thermodynamics of Dynamical Systems from Fundamental Particles to Evolution, Consciousness and Political Economy via E8, ER=EPR, Constructal law-Nash Equilibrium and Orch OR-Phi-IIT Theories.

E8-Feigenbaum diagram: Asynsis Optimal path to Universality?

I’m very honoured and grateful to have just visited the Pacific Science Institute in Maui, Hawaii and to hear from theoretical physicist and avid adventure sports avatar, Garrett Lisi that Asynsis geometries are also a key “elementary” signature fundamental to the Exceptional Lie groups behind his E8 Exceptionally Simple Theory of Everything – an alternative (and still evolving), unified field theory to String and Membrane theory. As Einstein said to Le Corbusier on the Asynsis geometry Modular: “…it makes a difficult job easier.”

Corbusier & Einstein @ Princeton

So are we on the “Dao of Design: Form follows Flow” path to Einstein’s “…Simple and Beautiful” principle of the universe?

E8

Connection: describing elementary particles in space time by rotations of E8 over space time

Curvature: the way the connection changes over space time

Action: the magnitude of the connections integrated or averaged over space time

Possibility: the quantum probability of any connection configuration of particles in space time

Classical: all possible combinations weighted by the complex action, averaging all probabilities so at large scales irreversibility settles on a classical path for entropy production, universality and emergent complexity via the principle of least action.

To speculate (solely on my part), these quantum gravitational E8 geometries, derived from icosahedral dual dodecahedral Platonic polyhedra, may yield (via closely related Penrose tessellation geometries, via multi-scale resonances), dynamical systems Universality phenomena in Classical physics – to allow for the evolution of complexity most optimally, for the least energy-time cost.

In other words, for emergence to be synergised, most simply, beautifully and easily.

So here’s how we’re raising Simple, Beautiful & Green design awareness and action in the Asia-Pacific, with our Dao of Design ToE: the Asynsis principle – where Greek Beauty meets Chinese Auspiciousness – as shared on TED at TEDxWanChai, with RIBA Hong Kong & as invited by UKTI GREAT Festival of Creativity.
Latest urbanism implementation via the Hong Kong EcoLivable City Initiative.

Design is an emergent property of and irreversibility and entropy.

First conjecture that Φ-Phi is an asymptotic convergence constant in both the Feigenbaum diagram and Mandelbrot sets published in AD Magazine 1994 Architecture & Film issue.

Confirmed proof of this prediction delivered in paper published in 2006 (see Physics Letters A paper PDF above).

Asynsis principle therefore proposed as describing optimal, analogical geometric signatures of principle of least action emerging from quantum gravity E8 and EP=EPR geometries, via quantum criticality and Feigenbaum Universality.

Complexity increase in nature can then be seen as ultimately – a result of a geometric imperative, as an evolutionary, asymptotic convergence in open dynamical systems that explains the phenomena of emergence via dynamical systems Universality.

Continuing further descriptive evidence revealed with each new exemplar of the Constructal law of Design in Nature & Culture, E8 & ER=EPR theories, Universality-Tracy Widom distribution-Benford’s law, KAM theory, Self-Organised Criticality, Nash Equilibrium, Edge of Chaos, Phi-IIT and Orch OR theories.

So the classical-scale Constructal law describes thermodynamic flows.

While the Asynsis principle describes the optimal, analogical information-geometric signatures, the forms that result from those flows. (Good) Form follows (True) Flow.

So once again, design in nature and culture is an emergent, optimal, analogical property of irreversibility and entropy.

Confirmed proof in 2006; Asynsis principle describes optimal, analogical geometric signatures of principle of least action via Universality, which is conjectured to be a classical analogue of the quantum superposition, thereby optimising a system’s information processing, predictive inference, sustainability and adaptive resiliency capacity.

Definitive further evidence emerges with each new exemplar of the Constructal law of Design in Nature & Culture.

Asynsis principle 1st published in AD Magazine 94

Feigenbaum diagram emerges from E8: From Areas to Points & Points to Areas – Yielding Universality: Kauffman’s “Broad Boulevards of Possibility”

Φ-Period 2 Julia Zoom

Mandelbrot set: Periodics in the Complex plane

Golden Ratio dynamics expressed in two complexity icons, revealing the optimal geometries of design in nature

Feigenbaum diagram: From Areas to Points & Points to Areas – Broad Boulevards of Possibility

Φ-Period 2 Julia Zoom Mandelbrot set: Periodics in the Complex plane Golden Ratio dynamics expressed in two forms, revealing the optimal geometries of design in nature