Sunday, June 26, 2011

Representing a sweep of abstract L-Functions

A variety of abstract L-functions including those of elliptic curves
and higher genus surfaces as well as the modular form delta.

I have extended the paper "A Dynamical Key to the Riemann Hypothesis" in the previous posting, to include a sweep of abstract L-functions including Dedekind zeta and Hecke L-functions of the Gaussian integers Z[i], L-functions of a spectrum of elliptic curves and higher genus surfaces and those of certain modular forms.

In combination, these give the best overview I have been able to find of what these mysterious functions key to analytic number theory and the proof of Fermat's Last Theorem and encrypting information about the Riemann Hypothesis actually look like and the close relationships between them.

Taken together in their diversity this spread of L-functions shows how different types of hidden primal relationship from a set of encrypted keys to the lock of the Riemann Hypothesis whose master key is the Riemann zeta function itself.

Tuesday, May 10, 2011

A Dynamical Key to the Riemann Hypothesis

Riemann zeta function and a series of Dirichlet L-functions
followed by a naked non-L function with zeros off the critical line.

I've just completed a new dynamic paper on the Riemann Hypothesis with movies.
A Dynamical Key to the Riemann Hypothesis
using a new generation of my Mac RZViewer application, which now portrays diverse L-functions and makes dynamic movies of the zeros varying as the functions are transformed:
Riemann Zeta Function Viewer 1.5 Flight Manual


The new paper sets out a dynamical basis for the non-trivial zeros of the Riemann zeta function being on the critical line x = 1/2. It provides an explanation for why zeta and the Dirichlet L-functions do have their non-trivial zeros on the critical line and why other closely related functions do not. It suggests RH is an additional unprovable postulate of the number system, similar to the axiom of choice, associated with the limiting behavior of the primes as tends to infinity.


Sunday, March 27, 2011

Fractal Geography of the Riemann Zeta Function


I have just completed a ground breaking monograph exploding all the wonderful, puzzling, enigmatic and fascinating features of the fractal and chaotic dynamics of the Riemann Zeta function.


The quadratic Mandelbrot set has been referred to as the most complex and beautiful object in mathematics and the Riemann Zeta function takes the prize for the most complicated and enigmatic function. Here we elucidate the spectrum of Mandelbrot and Julia sets of Zeta, to unearth the geography of its chaotic and fractal diversities, combining these two extremes into one intrepid journey into the deepest abyss of complex function space.

Thursday, January 13, 2011

Cosmology of Consciousness


Here is the link to my latest cosmology article (now in two versions:

Cosmological Foundations of Consciousness: An Overview Short Explanatory Version
http://www.dhushara.com/cosfcos/cosfcos.html
Cosmological Foundations of Consciousness Full Research Monograph
http://www.dhushara.com/cosfcos/cosfcos2.html

How the biological brain generates subjective consciousness remains the principal abyss in the scientific description of reality, a problem complementary to the cosmological theory of everything, and equally as challenging, because it takes the scientific model beyond the confines of objective reality.

This paper examines the cosmological basis of consciousness and subjective experience in biological organisms. It draws on principles of symmetry-breaking and interactive non-linear dynamics to establish the cosmological status of biogenesis, and biological tissues as fractal forms of interactive symmetry-breaking. It then investigates the Archaean genetic expansion as a source of the envelope of functional machinery forming the basis of neural activity, based on the universal excitability of all living cells. Finally it examines the biophysical basis for consciousness, both in single cells, and in the human brain and its ‘Cartesian theatre’ of consciousness, to elucidate cosmological principles underlying the mind-body relationship.

Friday, December 10, 2010

The Nature of the Transcendent


The Tree of Life by Gustav Klimt


I would like to give a positive view of the transcendent nature of the universe and our position within it.

In the previous "Evolution IS Intelligent Design" and "Holy War against Science" postings I have defended evolution as the natural process by which sentient existence emerges and highlighted the tragic fallacies of the traditional view of God creating fixed life forms as a projection of human fantasies based on our own industrial technology, but this leaves us in a position of wondering what it is all about, what the universe is for, why we are conscious and what the meaning is in our mortal journey.

The answer to this is that the actual nature of existential cosmology is both profoundly more exciting and challenging than either a raw pessimistic materialistic account of blind forces and terrifying energies, or a God-created clockwork Eden doomed never to flower to new heights of its own would suggest, and it also places us in a much more personally responsible position, closer to the center of the cyclone as agents of this process. It is this emergent aspect of nature and consciousness which is the portal to the transcendent nature of the universe and its greatest challenge is that it is an ongoing process.

Perhaps we can make excuses for ourselves, in our phase of cultural emergence for bowing down before stones and worshiping jealous Gods of written commandments, as would small children in early childhood, depending on a father or mother figure to give us a sense of security and meaning, but now we are coming of age and beginning to witness the universe as it actually is, we need to come to terms of acceptance of what nature is and how it actually relates to our conscious existence.


Armenian Tree of Life Jerusalem


Here are a few pointers to this situation, which I will expand on in future blogs:

1. Life is Cosmological: The diversity of life, and with it sentient consciousness of 'brainy' organisms is an evolving consequence of cosmology. The complex chemical systems which spawned life and which gain increasing complexity and consciousness evolving over vast time scales, of the same order of magnitude as the universe itself, are not just blind accidents, but the interactive result of the symmetry-broken cosmic 'mandala' of the four forces of nature - gravity, electromagnetism and the strong and weak nuclear forces - in full and complete interaction as molecular matter in tissues irradiated photosynthetically on a planetary surface. The biota are the completest expression of the four forces interacting hierarchically and the brain is the most complex integrated condition of these processes.

2. Transcendence emerges from the Biota: The one place where we know sentient complexity and consciousness exists in the universe is in the biota, not in the skies, nor in the winds and storms nor in the heavens which are just the vacuum of outer space, nor the centers of stars, nor black holes or dark matter, all of which present only some of the fundamental forces of nature interacting in simpler forms. We thus cannot look for God in the heavens , which, along with angels and houris, are a projection of the mental realm of subjective consciousness, rather than actual physical reality. We thus need to learn to take full and complete personal responsibility for our existential condition and our actions, and their impacts on the planetary future, to ensure nature is sustained and the passage of the generations can fulfill their conscious destiny.

3. Transcendence and Sexuality: Sexuality is central to the way the cosmology of the universe works, as a symmetry-broken complementarity, from mind and body, through wave and particle, boson and fermion to female and male, both as sperm and ovum and as organismic woman and man. This extends to the strategic complementation of defection and cooperation in the Prisoners' Dilemma and is expressed in the Tantric origin in the complementation of subjective consciousness and the myriad phenomena of the physical universe. Sexuality is also central in our mortality, because it makes us all different and unique and is pivotal in enabling the capacity of complex life to exist and evolve, through the endless varieties of sexual recombination. Sex is the most altruistic invention of nature because it commits us to transmit only half our genetic heritage shared with the partner rather than reproducing ourselves parthenogenetically. Even animals which are capable of parthenogenesis still need sexuality to adapt to changing conditions. The result is organismic mortality, but evolving species immortality. Without sex, complex life could never have evolved, so we owe it our very existence.

4. Transcendence vs Moral Imperative: Because we know that the diversity of life and evolution depend on openly exploring available niches, from plant to animal, from herbivore to carnivore , parasite and disease, we cannot assume any cosmic conditions which violate this freedom of expression to the fullest. In particular, however much it is convenient for large societies to depend on moral forces for their internal cohesion and hence external dominance, the notion of a moral deity, or morality-based religion is a corruption of the natural order, except in so far as morality is itself an expression of social evolution to produce fair and compassionate, caring societies.

5. Transcendence is Open-Ended: The purpose of conscious life is itself an open-ended exploratory process, not limited by moral imperatives, the universe discovering itself, which our time in the mortal coil is here to play an integral part in, by ensuring we discover the nature of conscious existence as fully and deeply as possible, and strive to ensure the world is left a better more sustainable 'paradise' for future generations to continue to ponder and discover the nature of existence. We are already at a point that we can learn a great deal about the depths of conscious experience, cosmic consciousness if you like, but future generations will discover more and we owe it to them and to the entire web of life, to preserve the planet and life beyond if we move beyond the planet, so that the universe can fully discover what it is, and we who we are, during the paradisiacal phase of our becoming during the vast epochs of life on the cosmic 'equator' of the universe in space-time. There is no one-track apocalypse in the existential cosmos.

6. The Quantum Universe and 'Free Will': The quantum wave-particle complementarity of the universe also leaves it open to complex forms of entanglement, in which future and past states are coupled in a way which provides a loop hole for the conscious experience of 'free will' to become manifest in physical action. Our brains' dynamics are attuned to this entanglement in their sensitively chaotic parallel distributed processing representations of the world around us, giving rise also to an internal reality of dreams, memories, reflections, contemplations and psychtropic vigils. Consciousness and the physical universe are thus complements in the existential Tao.

7. Eternal and Immortal Relativity: Although our mortal existence is transient, in the envelope of relativistic space-time, all sentient beings form an integral part of the eternal matrix of conscious existence and even though we pass on, by giving to the diversity of conscious life during our incarnation we take our place among the immortal generations.

Wednesday, December 1, 2010

Evolution IS Intelligent Design

Evolution IS the Intelligent Designer. The DNA code is the physical manifestation
of open-ended evolutionary design as a heuristic genetic computational algorithm.

See also:
(1)  Holy War Against Science
(2)  Celebrating Immortality: A Manifesto
(3) The Future of Human Evolution
(4) Stripping God Naked: The Cosmology of Apocalypse

I have already written an extensive posting on the contradictions of intelligent design and the religious assault on science but having been plagued by an intelligent designer for the last week I thought it would be good to take some light relief in how others see this attack on the sanctity and creative potential of life, the scientific pursuit of knowledge, and of course, the integrity of education in the face of religious subversion.

So here goes for a mix of cartoon humour and a short statement of the tragic fallacy of intelligent design. But first let me point out the blatant deceit of the proponents. If you check the Wedge Document you will find that the ID movement has intentionally set out to pretend to be scientific and to disguise their strategic religious deceit in scientific scepticism about evolution pleading academic freedom. Here is a typical example: Jeffery Tomkins is a born again Christian becoming a scientist only to advance his religious agenda, and a flag member of the Institute for Creation Research, but you will find his genetics and evolution website Designed DNA is pretending to be pure science. You can only find he is a wolf in sheep's clothing by looking his name up independently on Google which takes you to the truth - strategic religious creationism. Anyone accessing the DNA site would think it is a genuine scientific resource which it isn't!

The tragedy of intelligent design is that it robs us of understanding the most important, complex, creative and exciting processes in the universe - life, consciousness and intelligence. All of these processes owe their complexity to their self-generating adaptive anticipation. They are not fixed by their design, they do not run down but upward into more complexity and consciousness. Were they designed they couldn't have become what they are and they would have no open-ended future either.

However there is one respect in which evolution is clearly and unambiguously its own intelligent designer. Anyone who looks anywhere in the universe to try to find out the designer of complex life has to come to the realization that the most complex and efficient computer known in the universe is the collective genomes of the biota on Earth.

This computer is functionally in the process of weaving evolutionary adaption through the modular architecture of genes, sexual recombination, mobile genetic elements in our genomes, horizontal transfer of genetic information between organisms and species, through the immense parallel computing capacity of its genetic algorithms and the fact that it is a parallel computer on a truly molecular level, which is open to heuristic adaption through occasional mutational change, the collective genome is precisely adapted to be the intelligent designer of evolution.

The fact that it doesn't have a central computational system like the brain in no way means it lacks the functional capacity to generate new and more complex forms of adaption. In fact a brain-like form of centrally organized designer is nowhere nearly as suited at solving the dispersed adaption problem of discovering new 'degrees of freedom' in ecological and environmental niches as the massively parallel distributed genome is.


To give a very rough idea of the computing power of the combined bacterial genome alone, taking into account bacterial soil densities (~10^9/g), effective surface area (~10^18 cm^2), genome sizes (~10^6), combined reproduction and mutation rates (~10^-3/s) gives a combined presentation rate of new combinations of up to 10^30 bits per second, roughly 10^13 times greater than the current fastest computer at 2 petaflops or about 10^17 bit ops per second. Corresponding rates for complex life forms would be much lower, at around 10^17 per second because they are fewer in total number and have lower reproduction rates, but they are still vying with the computation rates of the fastest supercomputer on earth.

Moreover they are physically manifest in the right place at the right time, unlike the hypothetical ephemeral external 'intelligent designer', which is nowhere in sight anywhere in the physical universe. The modular architecture of the genome combined with all its symbiotic mobile repetitive elements provides exactly the substrate to enable this open-ended process to generate life's complexity and we can see this in action in any of a host of studies of genetic sequence relationships in evolutionary trees, running from the dawn of life to the relationships between chimps, neanderthals and humans - the transition most abhorred by the religious.

(Left) Archaean genetic expansion around 3.3 billion years ago generated most critical genes common to life (David and Alm 2010)
(Right) Evidence of ubiquitous horizontal transfer of genes between bacterial species at different trigger levels (Dagan et. al. 2006).


The Tree of Life: Tangled Roots and Sexy ShootsTracing the genetic pathway from the first Eukaryotes to Homo sapiens
Chris King
26 July 2011 Genotype 1.1.7

About a week after first writing this blog, one particular evolutionary tree was published which gives a great deal of insight into this supercomputing process and confirms the idea actually happened surprisingly early on Earth. This shows that the major genes catalysing the central metabolic pathways emerged in a burst called the Archaean Expansion around 3.3 billion years ago - six times longer ago that the Cambrian radiation. It confirms the idea that genetic creativity occurred very rapidly supported by horizontal transfer of genes and that it essentialy solved the intractable protein folding problem of forming the 3-D conformations that make protein enzymes the potent catalysts they are.

Two views of the intelligent design proponent as degenerate evolution
BBC Article: Can religious teachings prove evolution to be true? July 2011 Attempts at 'scientific investigation' by intelligent design proponents to establish that God created each type of animal (e.g. cats) with only minor mutational change since, by looking at the fossil record, look like they are proving evolution to be true because of the large scale interconnectedness of dinosaur evolutionary fossil record.


We understand our brains are encoded by our DNA. We can't put a designer into the argument because it is not evolution taking place, but the genetic program of embryogenesis which, despite its complexity, is structurally stable, so that the vast majority of the time we develop into humans, rather than still-borns or mutant monsters. Nevertheless the brain is far from a fixed program. It develops dynamically during the growth of the fetus, through chaotic excitations of its neurosystems, starting from the retina and ending with the cortex, and the brain retains neural plasticity into adulthood, so that brain regions for seeing can become adapted for spatial hearing in blind people. It is clear the same genetic algorithms that can generate the brain of our offspring in nine months based on our own genetic codes, are also a mutable and adaptive process, fully capable of presenting new genetic combinations which can adapt to and take advantage of emerging niches.

Research in the cosmological basis of the conscious mind:

Evolution is not just a theory but how the cosmology of nature comes about

When coming to how replicative life emerged and the evolution of complex life, we are dealing with the most complex generative process in the universe. The emergence of life from the chemical soup is slowly becoming understood and is the final interactive result of cosmic symmetry-breaking in molecular complexity. It is thus as complex as the cosmological TOE, or physical theory of everything, to unravel.

Research in the cosmological foundations of biogenesis:
Biocosmology a Research overview of the cosmological origins of life

Three wise monkeys can't be wrong
Evolution looks simpler to understand (and criticize) being based on replication, mutation and selective advantage, and occurs over long time scales, but this doesn't mean it is just a theory, or an alternative to a religiously inspired shadow of an archaic God, in the form on an 'intelligent' designer making dead end products like we make machines.

Intelligent design is a product of human industrial design

It is the tragic fallacy of Christianity that it keeps trying to demolish the wonder and generative power of life's future by subjugating it to the feudal, jealous totalitarian designs of a Hebrew watchmaker from a time when only sundials existed.

Deceitful pretense that the agenda is not religion

A quid pro quo. If intelligent design is to be taught in school, evolution should be taught in church.

Fingers in the pie of religious contradiction. If God created the intelligent design - which God?
See: Intelligent design: Devilish or Divine?

I would take a position about intelligent design that it is like incest. It's a fundamental anti-life perversion of sexuality in the name of an Oedipus complex with a fantasized creator who we love because of our fear.

No it's not. People espousing this cause are committing a form of celestial incest subjugating
the exogamous nature of sexual evolution to an incestuous relationship with God the father.

Understanding the science is one thing but the maths is another!

Tuesday, November 9, 2010

Cutting through the Enigma of Consciousness

The inner space of consciousness is sometimes able to perceive kaleidoscopic
'mindscapes', as if they are genuine perceptions of a 'world out there' (Andrew Ostin).How does the brain evoke these realities and what is their status,by comparison with the subjective experiences we have of the real world?

Chris King © 9-11-10

This article is an exploration of where discovery about the human understanding of consciousness might be headed and why looking for answers may require a completely novel approach to understanding reality, different from anything we have encountered so far.

Supporting Research Article: The Central Enigma of Consciousness

The Scientific Lesson for Subjective Consciousness
In scientific terms, subjective consciousness remains the one phenomenon for which the description of physical reality has at this point not even the beginning of an explanation for. Although we know our subjective experiences are somehow a product of our brain states, we really have no idea of how a bunch of neurons firing off electrical impulses can come to generate all our conscious perceptions, dreams, memories and reflections of the world around us with all their diverse attributes, each of which is as indescribably different as a kaleidoscopic pattern of colour or a living landscape is to a musical symphony or even a complex cacophony of natural sound.

However the lesson of the scientific revolution shows us some important potential features of the quest for understanding consciousness that may be key to making real progress. The scientific revolution didn't come easily, because nature revealed itself to work in subtle ways that violated the simplistic assumptions of traditional, and particularly religious thought. It turned out that the Earth was neither flat, nor the centre of the universe, which, rather than being an airy heaven, in which angels with feathery wings could dwell, has turned out to be a maelstrom of black-holes and galactic collisions, in which life can take a foothold only on the surfaces of small rocky planets around small sun-like stars.

Even more perturbing, all life, far from being created by God, like clockwork toys in his image, appears to have emerged spontaneously from the slime, in a de-novo chemical synthesis, followed by the hit-and-miss process of mutational evolution, with humanity gracing the planet in a tortuous sexually-procreative journey of successful mutation through fish, reptiles and monkeys, a scenario which remains to this day the bane and nemesis of religious fundamentalists.

To cap the bag, we now understand the universe to be created almost from nothing, in a symmetry-broken cosmic inflation, whose mathematical complexity defies our imagination and ingenuity, despite many valiant ongoing efforts. As well, fundamental physics has entered into the mysterious territories of quantum uncertainty and quantum entanglement, altering forever our classical notions of temporal causality and physical reality.

We need to learn from the lessons of science's attempts to discover the nature of the real world, which has challenged our best minds through the centuries, and open ourselves to the possibility that consciousness, as we know it, is at least as unfamiliar to our preconceived notions as the physical universe has proved to be.

The Existential Dilemma and its Traditional Approaches
Nevertheless, the nature of consciousness is an urgent question which plunges right into the crucible of our psyche, because it leads to the ultimate existential anxieties: "What happens to me when my physical body dies?" "Is there any meaning in life if there is no after life after death?" "Is there a God looking after our fate?" "Am I a tiny part of a cosmic mind?" "Is there anything out there that cares, or are we just ships passing in the night alone, despite our delusions of love and togetherness amid frank exploitation of one another and of the natural world?"

For all the apparent solidity of the physical and biological world description, we are and remain throughout our loves conscious sentient beings, and it is only through the conduit of subjective consciousness that we come to witness the physical universe at all. And it is the stream of our subjective conscious impressions of reality that are all we have and that in which all our dreams and hopes and fears are enmeshed, despite the world we consciously perceive around us.

Dreaming can evoke bizarre realities which, despite seeming to be physically
impossible, are palpably real (Oscar Dominguez "Memory of the Future" ).

This brings us rapidly back to the traditional answers to the existential dilemma, which present themselves most dominantly as religious beliefs. The monotheistic myth goes roughly as follows: "Yes there is a God - in fact the one true God of reality acting in history, unlike those other pagan idols, and who, despite being the creator of the entire universe, is also a moral deity who is 'jealous' of our fidelity to Him and might cast us into hell fire if we stray from unswerving belief in His power, majesty and commandments.

Despite the protestations of religious believers, this model of conscious existence is fatally flawed, because we now know that morality is a social manifestation, which takes root in a species as an evolutionary strategy which enhances inter-group dominance by reducing intra-social strife. In no way can any culturally-derived or revealed doctrine of moral causality be dominant over the reality of evolution and the wide variety of ecological niches evolution fills, from nutrient-giving plants through herbivores and carnivores to parasites and diseases.

The idea of a God which created nature and the entire universe stipulating any sort of moral imperative, let alone a final eschatology, is in complete contradiction to the open-ended indiscriminate mutational exploration and sheer creativity of the evolutionary paradigm, just as is the idea of a God creating the entire physical universe being in any way jealous of our fidelity is a contradiction in terms.

While the notion of a moral deity is a false projection of human cultural, sexual and social imperatives, the notion of a fall from paradise culminating in an apocalyptic awakening, amid heroic redemption, is a valid part of our collective emergence. The fall and awakening are to a considerable extent a real time description of our collective falling out, across the generations, from gatherer-hunter interdependence with nature, through the rise and fall of civilizations amid tumult and discord, to the present explosion of scientific knowledge (and technological and commercial exploitation of the planet) - a process of continuing culture-shock, arriving on the horizon at a greater understanding of our place in the universe.

Religious visions of heaven and hell are not real physical worlds, but projections of the mind realm.
They contain a confused and delimited mixture of real world impressions of people,
with mythical figures of paradise and monsters, with the heavenly host falling somewhere between.

By contrast, there is another major theme that comes out of Eastern mysticism that is considerably different. The idea goes as follows: In some sense, we, as conscious perceivers caught in the mortal coil of a physical body, are also in some sense manifestations of the cosmic mind, and if we enter into deep meditation we can learn to become one with the Atman, or the Buddha mind, or the Upanishadic 'Self' - the universal seed spark within all sentient beings. In some sense we than become avatars of the one cosmic 'Self', just as the Hindu Gods and Goddesses are in some sense archetypes of the existential condition.

This comes closer to being a valid exploration of the conscious condition and has some root insights, but like the monotheistic myth, it suffers from intractable contradictions, including the notion that nature is merely a delusory gross manifestation subservient to mind, in an overarching moral imperative which causes lustful humans to be reincarnated as animals and vice-versa, and the entire natural world becomes relegated to being merely a cyclical process to refine the (human) ego to the vacuous purpose of attaining oneness with the void and thus escaping eternal suffering. The is a mind dominant fallacy that fails to respect that the diversity of nature, far from being a mere illusion, generates the entire physical basis for our conscious existence.

The meditative quest for 'enlightenment' through becoming one with the cosmic "self' or void

It also introduces the notion of karma in everyday affairs, suggesting that you might end up suffering a nasty accident, or catching a disfiguring disease as a punishment for your egotistical bad actions. This again is a moral causality that clearly runs counter to the needs of life to survive uncluttered by a fantastic causality that runs counter to survival of the organism and the evolution of its genes even when expressed in predatorial and parasitic behavior - for carnivores to ruthlessly hunt and kill and even sometimes to torture their prey in honing their hunting prowess.

There are of course many other descriptions of sentient existence, spanning the creation myths of diverse cultures and the shamanistic and prophetic experiences of their various medicine men, diviners, seers, mystics and visionaries, each with their own stories to tell of the vision quest of conscious existence and its relationship with the slings and arrows of outrageous fortune in the world at large.

At best, these become first person accounts of personal experiences and mental voyages, which take us into the territory of the sensitivity of consciousness to apparently supernatural, or paranormal influences, in which one might sense the death of a relative, encounter unpredictable coincidences of fate, or dream prophetic dreams which later appear to come true in real life. At worst they become distracting and delusional fantasies that gain all the features of superstitious beliefs, and cargo cult like mystification.

Where is the Consistency in the Visionary Theatre?
This leads to a basic question. If there is a collective conscious reality out there, shouldn't it be reflected in some way in our mental condition, in our inner meditation and reverie and in our prevailing collective beliefs? If there is 'life' out there in the conscious realm, why are our descriptions of it so idiosyncratic, conflicting and contradictory?

There are a host of reasons for this, some practical and biological, to do with brain function, and others to do with cultural imperatives. We need to take stock of all of these before coming to a synthesis of how we might approach the question of consciousness.

Some mental constructions, such as heaven and hell moral fantasies, are culturally derived from the strong influence major religions have as forces shaping the moral destiny of a culture, quite independently of, and in obvious contradiction to, their truth as a description of the transcendent. Both Deuteronomy and much of the Qur'an deals with unabashedly worldly moral and legal issues, in particular the desire of men to have reproductive control over their women folk and to set them in a partially subservient relationship, as well as driving the formation of powerful large societies of believers, who can gain dominance over perceived enemies and infidels.

Other mental phenomena arise as a reflection of the needs of brain function biologically to compensate for the pressures of daily life and its potential threats to existence and survival. Dreaming remains an enigmatic source of many prophetic and visionary experiences. The nature and rich hallucinogenic content of dreaming remains mysterious, despite extensive scientific investigation. Virtually all of us have had dreams whose richness and power appear every bit as real as waking life experiences, although often much more bizarre, and indeed the only way to subjectively distinguish dream and reality is often a tortuous set of reality checks, such as turning off the light switch and finding the room is still illuminated. Otherwise dreams can seem every bit as real as daily life.

Clearly sleep and the rich REM phases of dreaming have something to do with processing of waking events, either setting down long-term memories, or responding to existential crises which might affect our chances of future survival, but none of this explains the rich, unpredictable and completely bizarre experiential content of many dreams. Dreaming teaches us that almost anything that could be synthesized in the Cartesian theatre of consciousness can appear in dreams, from effortless levitation, to being sucked into the mouth of a giant medusa, or being lost on another galaxy or in another universe, with no clue as to how to find the way back to Ixtlan, or the real world we are familiar with.

Likewise, various drug and plant induced psychedelic states can manifest visions it would be impossible to experience in the physical world at large. These include kaleidoscopic synesthesias, as well as visionary scenes, sensations of going beyond one's bodily confines, as well as a feeling of conscious interplay with the natural world and its psychic subtleties.

Huichol nierika or cosmic portal through which the voyager
can pass during a peyote vision quest

Again these may be a function of altered brain dynamics, so that one becomes able to perceive in conscious form the dynamic modulations across the cortex induced by these agents, and some of the processes by which the senses are synthesized in consciousness. Thus cultures which use psychedelic species as sacrament tend to explain their existential cosmology in terms of visionary portals or doorways through which one is transported to another reality by the sacramental experience.

Similar considerations apply to a variety of forms of meditation and contemplation, which may also involve stopping the internal dialogue by mantras and/or involve complex visualizations of mandalas not dissimilar in kind to psychedelic kaleidoscopic visions.

These techniques also extend to sensory and/or physical deprivation and so called near death experiences in which people see their life flashing before their eyes, and may claim to meet a luminous entity which is at once themselves and at the same time the 'cosmic mind' meeting them. Again this may be real, but it may also be explained as the product of the extreme, yet living brain state the person was in. Likewise some people report journeys out of the body, which are probably a form of hypnagogic trance on the border of sleep, as they show similarities to levitating dreams, except that they appear to be in the real world environment of the observer, rather than a fantastic dream scene.

(Left) Brain activity associated with language and (right) local parallel processing of color and motion in vision.
Although brain scanning has made it possible to associate specific regions of the cortex with specific aspects of conscious
thought and experience, these are just correspondences between biological brain states and perceived conscious events.
We still have no idea how the brain actually generates subjective consciousness.

Subjective Consciousness and the Objective Brain
One of the ways science tries to explore consciousness is to do experiments eliciting certain brain states while a person is having their brain scanned, either electrically by EEG or MEG encephalograms or physiologically by fMRI or PET, which use magnetic resonance or radioactive scintillation imaging to picture changes in blood flow or nutrient consumption in specific areas. These tend to show what kinds of brain activity or activation are associated with certain kinds of conscious perception, thought or emotion. It can then become possible to see how changing brain activity parallels changes in conscious perception and it can lead to some general hypotheses about how the brain might generate conscious experiences.

For example the gamma frequency band of the EEG has been suggested to be the excitations the brain uses in active conscious processing and it has been suggested that those networks which rise and fall together 'in phase' constitute conscious processes when they tie together various regions of the cortex into a consistent global dynamical system, by contrast with local processing, which is believed to be unconscious or subconscious.

However these sorts of investigation leave unanswered how the brain makes these global excitations into the internal model of reality which we experience subjectively and identify with the real world around us, or indeed how or why subjective consciousness exists in addition to the computational capacity of the brain as a neuro-system. Because no simple chemical explanation seems to have the right existential status to deal with subjective experience, the problem may need to be solved by examining more exotic physics in the brain, such as quantum entanglement, which might lead to new forms of physical interaction which might solve the problem of existential subjectivity.

Subjective Consciousness as the Existential Complement of the Physical Universe
Critical to the investigation of consciousness is that it is existentially completely different from the objective physical world description, being experienced directly only by the subject, and not being subject to the same criteria of replicability a physical world experiment has. Also the observer cannot control their consciousness objectively in the same manner a physical experimentalist can their equipment, because any attempt to change consciousness carries the observer into a new conscious situation as well. In this respect the exploration of consciousness has similarities to quantum measurement. This renders all forms of introspection made as if we are looking at consciousness objectively, completely, or partially invalid.

It also means that attempts to imagine or model subjective consciousness, or the mental realm, based on objective concepts derived from the physical universe, are invalid because the fundamental properties of the subjective and objective realms are complementary, as opposed to identical, through the symmetry breaking between mind and body. While the physical universe is a process of wave-particle complementarity, in which particulate matter is divisible into real world objects, mind is 'indivisible' in the manner of a 'wave complement' in the sense that it remains the integral field of view embracing all perceivable phenomena, continuous, or discrete. Likewise it is participatory and private in a way which renders objective investigation inoperative.

The exploration of consciousness is thus not the same kind of process as that of the physical world. It is a journey, not a destination. It is a subject experiencing, not an object of investigation. Thus it is not appropriate to try to 'examine' consciousness in the manner of an observation of the real world, but rather exploring it is a 'trip', as the first LSD users, and the sacred mushroom shamaness Maria Sabina, alike have put it, which is where the vision quest of shamanism also takes its journey.

(Right) San painting of the healing or trance dance Lonyana Rock Kwazulu-Natal.
Shamanic trance dancing (centre) in which each participant can witness
the world beyond the real world goes back to the emergence of human culture.
(Left) San use of dagga or cannabis smoking from a hole in the ground.
Other ancient pygmy forest cultures utilize the hallucinogenic iboga plant.

One very positive feature of sacramental shamanism is that it is a visionary experience that can in principle be entered into by anyone in the first person, removing all the disconnections, confabulations and mystifications between the religious follower and the numinous mysterium tremendum that occur with religions governed by gurus, priests, bishops, ayatollahs and muftis, which, rather than being an exploration of the numinous, lead to corrupt religious hierarchies espousing doctrines calculated to preserve their own hegemony.

However, like the previous attempts to understand whether consciousness has any absolute collective nature, we need to remain cautious about the products of psychedelic vision, because these have also led to their fair share of frankly delusional and occasionally violent notions and no definitive conscious cosmology has emerged from many centuries of cultural use of hallucinogens. Nevertheless they are pivotal natural catalysts in the empirical exploration of subjective consciousness.

The Evolutionary Foundation of Subjective Consciousness
To better understand consciousness and the limitations on any speculative ideas of the cosmic conscious connection, we need to ponder how consciousness came about through evolution, and the evolution of the brain.

A likely explanation is that consciousness is an indirect manifestation of the chaotic excitations we see in the electroencephalogram and that it arose in evolution as an offshoot of chaotic excitability in single-celled eucaryotes, which would have provided a multi-sense organ, through the sensitivity to perturbations chaotic excitation provides. A chaotically excitable cell would thus become sensitive to all forms of quantum perturbation of the cell membrane including those of primitive vision, audition and olfaction, as well as electric fields in the medium.

The evolutionary idea of consciousness is that this excitability aided the organism in anticipating threats to its survival, as multi-celled organisms evolved from simple nerve nets, as in hydra, to central nervous systems. Notably many of the critical neurotransmitters involved in changes in consciousness in humans are spread widely across the metazoa down as far as the slime mold, and indeed have distinct psychotropic effects, for example on the web building behavior of spiders.

A critical aspect of this is the idea that such excitations aided anticipating future threats to survival suggesting consciousness is integrally coupled with the notion of free will, or intentional will, which forms another paradox about human activity and existence. All of us feel we have a basic autonomy of choice over our actions and indeed all the provisions of the law, as well as all moral and ethical precepts, revolve around the notion of personal accountability that we can understand the consequences of our actions and can exercise personal control over our affairs.

However this leads to the notion of free will, which appears to be in frank conflict with the idea that our behavior is purely and simply a product of our brain state and its neuro-chemistry and that the notion that we have any purely conscious control over our physical brain states is a delusion. However this need not be true if the brain itself uses exotic quantum physics involving uncertainty in generating consciousness and in the sensitive transitions from chaos to order that may accompany insight learning and decision-making.

Central to an accurate description of subjective consciousness in the universe is the fact that it is, so far as we know, exclusively a product and property of the living biota. In fact the brain forms the most complete interaction of the four fundamental forces of nature in global interaction. There is nowhere else in the universe, from black holes, to dark matter, or the center of stars, that we can plausibly expect to find the physical support for subjective consciousness that we find in the brain of humans, and by extrapolation those of other organisms which possess chaotically excitable brains.

This means that religions posing God as an external agent consciously interacting with humanity, in lieu of humanity's own direct interaction with existential consciousness through our brains, is a fundamental dislocation of reality, removing the direct responsibility we have in participating in consciousness decision-making in our own brains and in taking responsibility for the effects of our actions on the planet, transferring it instead to a physically unrealizable contrivance, in which we become trapped in a moral causality, at the same time passing personal responsibility for our critical decisions on to the will of God.

Even if God is posed as an entity beyond space-time and the universe, the reality is that it is consciousness itself which forms that natural complement to the physical world description. As Indian philosophy, the Tantric origin and Taoist cosmology put it, the cosmos is a complementarity between subjective and objective reality. Thus the conscious mind, which is the only veridical avenue we have to experience the world around us, may have a cosmological status complementary to the physical universe, despite being manifest in physical terms merely as the excitations of our fragile biological brains.

This symmetry-broken complementarity between the diverse natures of consciousness and matter - personified in the dance of Shiva as observer and Shakti as phenomena - is endlessly reflected in other symmetry-broken complementarities, between wave and particle and boson and fermion in physics, and female and male in biology, something we have termed the cosmology of sexual paradox.

While we are standing today, with the benefits of brain science, combined with traditional contemplative techniques, and a diverse array of psychotropic substances, at the threshold of a great exploration of consciousness, which may be the cosmological free lunch the universe is destined to achieve over space-time, we need to realize that many preconceived notions of the purpose of consciousness, or collective consciousness cannot coexist with life as we now know it to be.

For example, it is reasonable, however far-fetched it might seem, to imagine that consciousness might give us access to a form of super-causal quantum future-anticipation which might complement computational brain function to aid survival, but it is not reasonable to suggest that consciousness is there to make us subject to a moral conscience defying evolution's capacity to fill all viable niches, nor to engage in psychic materialism - subjecting conscious experience, by analogy, to constructions derived from the objective world, except in so far as these might be realized in brain function.

Consciousness Arises from the Survival of Natural Life
This brings us full circle to the ultimate questions and quest of conscious exploration. Why are we conscious? What is the meaning in conscious existence? Is there any connection out there with the cosmic mind or any other form of extra-corporeal dis-incarnate from of consciousness?

One thing that is essential to this exploration is that life is sufficient unto itself as it stands without needing either the notion of an after-life or some connection of cosmic consciousness to justify it. We got here because the life force is forthcoming of itself. Although people vary and some people experience depression, partly as a result of genetic variations in brain chemistry, we exist at all only because the web of life has kept an unbroken chain all the way from when the first cells emerged. Life is therefore ultimately productive of itself and is worthwhile simply because it is. The fact that sentient life is also capable of being conscious of itself is a bonus which gives us the capacity to wonder, but it is invalid to turn the tables on life by requiring an after life in heaven to justify the mortal coil.

The key to this is that we are not alone as conscious human beings. Although we have an evolutionary proclivity to procreate and reproduce our genes so that the generations of life continue, we all come to understand that our conscious existence is finite and bounded by our physical demise.

Nevertheless we don't possess our consciousness but are simply conscious of the world and of ourselves. This consciousness is in a fundamental sense a cosmological attribute which we manifest and which is manifest in each and every one of us in various ways due to individual difference but to a great extent consciousness is shared and in common.

This is reflected in the abundance of so-called 'mirror neurons' in the brain which ensure that we are able to consciously experience situations the way others experience them and even feel another's pain. It is also reflected in the oneness that comes from sexual relationship, which is life's antidote to the mortality of the sexual being, in the procreative process and the family.

Because we are mortal, caring is real, not just for the sexual beloved, offspring and kin, but for all mortal beings. Although some people may be violent, psychopathic or selfish, because we are all going to die one day and can't take our possessions with us, the reality of caring for others is what makes both the world, and our consciousness of it, real and worthwhile for each of us. We also leave behind us our humor, art, music and the products of our ingenuity and toil, so the more we contribute to the welfare of the world as a whole, to make it a richer and better experience for all, the better we will feel about life, death and mortality.

This leads us to another fallacy promulgated by traditional religions, which is that the real world is somehow just a flawed secondary realm and that the real existence that makes it all worthwhile is in the after-life. This in turn brings about a sense of futility that if we are going to eventually die, the whole material quest is meaningless dust to dust and ashes to ashes. This is a false description of reality because life is not made worthwhile only because it is eternal, since the web of life is immortal over the vast epochs the planetary environment remains hospitable to life and we each share resonance with conscious existence. We need to keep a perspective of consciousness as a process occurring in space-time, in which the universe is becoming aware of itself through us becoming aware of ourselves during our sentient existence.

Telling Stories Round the Camp Fire
Sentient life is an open-ended awareness whose reality is maintained through the future passage of the ensuing generations of conscious life, so we need to respect preserving the robust fecundity of the planet and its living diversity as a primary task in furthering this quest, in contrast to the linear scorched-Earth eschatologies of monotheistic religion, which risk planetary catastrophe.

Even if the earth is finally vaporized as the sun becomes a red giant and all life is extinguished the conscious quest in the all-embracing envelope of space-time was still the discovery process the universe was able to make to know itself in the alpha-to-omega of all reality space-time is.

In some of my more mystical moments on natural sacraments, I have experienced cosmic consciousness as the bundle of life, as if we as incarnate mortal beings are in eternal communion with all conscious life throughout the universe, from beginning to end, and that when we can for a moment escape the knot in the bundle which our individual survival and ego hold tight and loosen the fibers, we too become one with the cosmic mind.

However, rather than this becoming a description of consciousness, the way for us to move forward is to experience such potentialities for ourselves and keep the description process to personal anecdotes we tell, as conscious participants in the unfolding history of the universe, rather than setting it in stone, as some kind of objective description of how things are out there beyond our personal experience. This is the way people have told stories round the camp fire for the first 100,000 years of human emergence and it serves us well in the electronic age to keep the covenant with the ongoing flow of consciousness between us and among us all to celebrate it personally in our concourse together.

Two very different TOEs attempting to integrate the forces of nature illustrate the intrinsic complexity
of the cosmology of the physical universe. If cosmological attributes of subjective consciousness
are a basis of how the brain generates mind, they may have an even more complex basis.
This is not to suggest that the model would be like the physical TOE if it exists
but that it might have complementary attributes to it.

The Intrinsic Complexity of Consciousness and the Ultimate Theory of Everything
But there is another critical aspect to the nature of consciousness which is akin to the difficulty of discovering the theory of everything for the universe, and is so precisely because the conscious brain is the ultimate expression of the four forces of nature derived from the symmetry-breaking of the theory of everything. It requires all the forces acting in order of their symmetry-breaking energies to develop molecular matter, and their most complete complex interactive expression we know of is in the human brain.

If the brain uses exotic properties of physics, embracing quantum entanglement in brain states in generating subjective consciousness as part of anticipating future risks to survival, these would be the ultimate interactive structures generated by the symmetry-breaking of the forces of nature in the universe.

Understanding consciousness would then place it as the hard problem complementing the theory of everything, which would require at least as much ingenuity to resolve and therefore cannot be underestimated in the surprises we may find within it.