Showing posts with label Complexity. Show all posts
Showing posts with label Complexity. Show all posts

Sunday, February 06, 2022

Cosmic Sea of Energy


"Space is not empty.
It is full, a plenum
as opposed to a vacuum,
and is the ground for
the existence of everything,
including ourselves.
The universe is not separate
from this cosmic sea
of energy.
...
Relativity and quantum theory agree, in that they both imply the need to look on the world as an undivided whole, in which all parts of the universe, including the observer and his instruments, merge and unite in one totality. In this totality, the atomistic form of insight is a simplification and an abstraction, valid only in some limited context.
...
The essential feature in
quantum interconnectedness
is that the whole universe
is enfolded in everything,
and that each thing is
enfolded in the whole."

David Bohm (1917 - 1992)

Tuesday, January 04, 2022

Embodied Network


"We’re all—trees, humans, insects, birds, bacteria—pluralities. Life is embodied network. These living networks are not places of omnibenevolent Oneness. Instead, they are where ecological and evolutionary tensions between cooperation and conflict are negotiated and resolved. These struggles often result not in the evolution of stronger, more disconnected selves but in the dissolution of the self into relationship. Because life is network, there is no 'nature' or 'environment,' separate and apart from humans. We are part of the community of life, composed of relationships with “others,” so the human/nature duality that lives near the heart of many philosophies is, from a biological perspective, illusory."

- David George Haskell (1969 - )
The Songs of Trees 

Thursday, December 30, 2021

Universal Spark


"Like an explosive awaiting a spark, unimaginably numerous environments in the universe are waiting out there, for aeons on end, doing nothing at all or blindly generating evidence and storing it up or pouring it out into space. Almost any of them would, if the right knowledge ever reached it, instantly and irrevocably burst into a radically different type of physical activity: intense knowledge-creation, displaying all the various kinds of complexity, universality and reach that are inherent in the laws of nature, and transforming that environment from what is typical today into what could become typical in the future. If we want to, we could be that spark."

- David Deutsch (1953 - )
The Beginning of Infinity 

Sunday, December 26, 2021

Limits of Comprehension


"Man is not born to solve
the problem of the universe,
but to find out what he has to do;
and to restrain himself within
the limits of his comprehension."

- Johann Wolfgang von Goethe (1749 - 1832)

Saturday, November 20, 2021

Timeless Way of Building


"...towns and buildings will not be able to become alive, unless they are made by all the people in society, and unless these people share a com­mon pattern language, within which to make these buildings, and unless this common pattern language is alive itself. 
...
The elements of this language are entities called pat­terns. Each pattern describes a problem which occurs over and over again in our environment, and then describes the core of the solution to that problem, in such a way that you can use this solution a million times over, without ever doing it the same way twice.
...
No pattern is an isolated entity. Each pattern can exist in the world, only to the extent that is sup­ported by other patterns: the larger patterns in which it is embedded, the patterns of the same size that surround it, and the smaller patterns which are embedded in it. This is a fundamental view of the world. It says that when you build a thing you cannot merely build that thing in isolation, but must also repair the world around it, and within it, so that the larger world at that one place becomes more coherent, and more whole; and the thing which you make takes its place in the web of na­ture, as you make it.
...
The Timeless Way of Building says that every society which is alive and whole, will have its own unique and distinct pattern language; and further, that every in­dividual in such a society will have a unique language, shared in part, but which as a totality is unique to the mind of the person who has it. In this sense, in a healthy society there will be as many pattern languages as there are people-even though these languages are shared and similar.
...

Since the language is
in truth a network,
there is no one sequence
which perfectly captures it."
 

Friday, September 24, 2021

Universal Causation


"But the scientist is possessed by the sense of universal causation. The future, to him, is every whit as necessary and determined as the past. There is nothing divine about morality; it is a purely human affair. His religious feeling takes the form of a rapturous amazement at the harmony of natural law, which reveals an intelligence of such superiority that, compared with it, all the systematic thinking and acting of human beings is an utterly insignificant reflection. This feeling is the guiding principle of his life and work, in so far as he succeeds in keeping himself from the shackles of selfish desire. It is beyond question closely akin to that which has possessed the religious geniuses of all ages."

Albert Einstein (1879 - 1955)

Friday, September 17, 2021

Wholeness


"When the healthy nature of man works as a whole, when he feels himself in the world as though in a great, beautiful, worthy, and precious whole, when his harmonious sense of well-being imparts to him a pure, free delight, then the universe, if it could experience itself, would, as having achieved its goal, exults with joy and marvels at the pinnacle of its own becoming and being."

- Johann Wolfgang von Goethe (1749 - 1842)

Tuesday, September 07, 2021

Dynamic Interconnection


"The basic recurring theme in Hindu mythology is the creation of the world by the self-sacrifice of God—"sacrifice" in the original sense of "making sacred"—whereby God becomes the world which, in the end, becomes again God. This creative activity of the Divine is called lila, the play of God, and the world is seen as the stage of the divine play. Like most of Hindu mythology, the myth of lila has a strong magical flavor. Brahman is the great magician who transforms himself into the world and then performs this feat with his "magic creative power", which is the original meaning of maya in the Rig Veda. The word maya—one of the most important terms in Indian philosophy—has changed its meaning over the centuries. From the might, or power, of the divine actor and magician, it came to signify the psychological state of anybody under the spell of the magic play. As long as we confuse the myriad forms of the divine lila with reality, without perceiving the unity of Brahman underlying all these forms, we are under the spell of maya. (...) In the Hindu view of nature, then, all forms are relative, fluid and ever-changing maya, conjured up by the great magician of the divine play. The world of maya changes continuously, because the divine lila is a rhythmic, dynamic play. The dynamic force of the play is karma, important concept of Indian thought. Karma means "action." It is the active principle of the play, the total universe in action, where everything is dynamically connected with everything else. In the words of the Gita Karma is the force of creation, wherefrom all things have their life."

- Fritjof Capra (1939 - )
The Tao of Physics: An Exploration of the Parallels
between Modern Physics and Eastern Mysticism

Thursday, September 02, 2021

Delusion of Separateness


"A human being is part of the
whole called by us a universe,
a part limited in time and space.
He experiences himself,
his thoughts and his feelings,
as something separate
from the rest, a kind
of optical delusion
of his consciousness.
This delusion is a kind
of prison for us;
it restricts us to our
personal decisions and
our affections to a few
persons nearest to us.
Our task must be to free
ourselves from this prison by
widening our circle of
compassion to embrace
all living creatures and
the whole of nature of
its beauty."

Albert Einstein (1879 - 1955)

Monday, April 05, 2021

Living Mirror


 "This interconnection or
accommodation of all
created things to each other,
and each to all the others,
brings it about that each
simple substance has relations
that express all the others,
and consequently, that
each simple substance
is a perpetual,
living mirror of
the universe."

- G.W. Leibniz (1646 - 1716)
Monadology

Thursday, March 25, 2021

Virtual Delights


"Paul uncovered his eyes, and looked around the room. Away from a few dazzling patches of direct sunshine, everything glowed softly in the diffuse light: the matte white brick walls, the imitation (imitation) mahogany furniture; even the posters — Bosch, Dali, Ernst, and Giger — looked harmless, domesticated. Wherever he turned his gaze (if nowhere else), the simulation was utterly convincing; the spotlight of his attention made it so. Hypothetical light rays were being traced backwards from individual rod and cone cells on his simulated retinas, and projected out into the virtual environment to determine exactly what needed to be computed: a lot of detail near the centre of his vision, much less towards the periphery. Objects out of sight didn’t “vanish” entirely, if they influenced the ambient light, but Paul knew that the calculations would rarely be pursued beyond the crudest first-order approximations: Bosch’s Garden of Earthly Delights reduced to an average reflectance value, a single grey rectangle — because once his back was turned, any more detail would have been wasted. Everything in the room was as finely resolved, at any given moment, as it needed to be to fool him — no more, no less.
...
Paul closed his eyes and turned his face to the sun. In spite of everything, it was hard not to take solace from the warmth flooding onto his skin. He stretched the muscles in his arms, his shoulders, his back -- and it felt like he was reaching out from the "self" in his virtual skull to all his mathematical flesh, imprinting the nebulous data with meaning; binding it all together, staking some kind of claim.
...
Existence was beginning to seduce him. He let himself surrender for a moment to a visceral sense of identity which drowned out all his pale mental images of optical processors, all his abstract reflections on the software's approximations and short-cuts. This body didn't want to evaporate. This body didn't want to bale out. It didn't much care that there was another - "more real" - version of itself elsewhere. It wanted to retain its wholeness. It wanted to endure."

- Greg Egan (1961 - )
Permutation City

Sunday, March 21, 2021

Middle Ground


"We now know that complexity arises in a middle ground—often at the order–disorder border. Natural systems that evolve with and learn from interaction with their immediate environment exhibit both structural order and dynamical chaos. Order is the foundation of communication between elements at any level of organization, whether that refers to a population of neurons, bees or humans. For an organism order is the distillation of regularities abstracted from observations. An organism’s very form is a functional manifestation of its ancestor’s evolutionary and its own developmental memories.

A completely ordered universe, however, would be dead. Chaos is necessary for life. Behavioural diversity, to take an example, is fundamental to an organism’s survival. No organism can model the environment in its entirety. Approximation becomes essential to any system with finite resources. Chaos, as we now understand it, is the dynamical mechanism by which nature develops constrained and useful randomness. From it follow diversity and the ability to anticipate the uncertain future. 

There is a tendency, whose laws we are beginning to comprehend, for natural systems to balance order and chaos, to move to the interface between predictability and uncertainty. The result is increased structural complexity. This often appears as a change in a system’s intrinsic computational capability. The present state of evolutionary progress indicates that one needs to go even further and postulate a force that drives in time towards successively more sophisticated and qualitatively different intrinsic computation. We can look back to times in which there were no systems that attempted to model themselves, as we do now. This is certainly one of the outstanding puzzles: how can lifeless and disorganized matter exhibit such a drive? The question goes to the heart of many disciplines, ranging from philosophy and cognitive science to evolutionary and developmental biology and particle astrophysics. The dynamics of chaos, the appearance of pattern and organization, and the complexity quantified by computation will be inseparable components in its resolution."

- James P. Crutchfield (1955 - )
Between order and chaos

Thursday, March 11, 2021

Forms of Things Unknown


 "More strange than true: I never may believe
These antique fables, nor these fairy toys.
Lovers and madmen have such seething brains,
Such shaping fantasies, that apprehend
More than cool reason ever comprehends.
The lunatic, the lover and the poet
Are of imagination all compact:
One sees more devils than vast hell can hold,
That is, the madman: the lover, all as frantic,
Sees Helen's beauty in a brow of Egypt:
The poet's eye, in fine frenzy rolling,
Doth glance from heaven to earth, from earth to heaven;
...
And as imagination bodies forth
The forms of things unknown, the poet's pen
Turns them to shapes and gives to airy nothing
A local habitation and a name.
...
Such tricks hath strong imagination,
That if it would but apprehend some joy,
It comprehends some bringer of that joy;
Or in the night, imagining some fear,
How easy is a bush supposed a bear!"

- William Shakespeare (1564 - 1616)
Theseus, Act V, Scene I, in A Midsummer Nights Dream

Saturday, February 27, 2021

Complex Networks


"Thanks to the rapid advances in network theory it appears that we are not far from the next major step: constructing a general theory of complexity. The pressure is enormous. In the twenty-first century, complexity is not a vague science buzzword any longer, but an equally pressing challenge for everything from the economy to cell biology. Yet, most earlier attempts to construct a theory of complexity have overlooked the deep link between it and networks. In most systems, complexity starts where networks turn nontrivial. No matter how puzzled we are by the behavior of an electron or an atom, we rarely call it complex, as quantum mechanics offers us the tools to describe them with remarkable accuracy. The demystification of crystals-highly regular networks of atoms and molecules-is one of the major success stories of twentieth-century physics, resulting in the development of the transistor and the discovery of superconductivity. Yet, we continue to struggle with systems for which the interaction map between the components is less ordered and rigid, hoping to give self-organization a chance."

- Albert-László Barabási (1967 - )
Linked: How Everything Is Connected to Everything Else

Tuesday, February 16, 2021

Informational Processes


"The greatest flaw of conventional physics is the acceptance of magic that has been forced upon all of us by our ignorance of the science of informational processes. This is particularly true with respect to Newtonian motion. We have no right to complain about the fact that nowhere in all of contemporary physics is there a commonsense model of motion. We haven’t had a way to know better. Newton swept this matter under the rug and Poincare and Einstein convinced us that we must believe that there is nothing under the rug. Intoxicated by all our fantastic accomplishments since Newton, it is human nature to avoid dwelling on dead-end issues. So, as smart as we all are, concepts of motion have remained in a state similar to the vitalistic theories of life that flourished in the past. 'Things move.' 'Mass has inertia.' 'Like begets like.' The idea that physics can get along without a fixed reference frame is utter nonsense from an informational viewpoint. It does not matter how brilliant and convenient the theory of relativity is or how many experiments validate its formulas. It is our collective misfortune that, until recently, no one has ever had any competent idea of what an informational point of view is."

- Edward Fredkin (1934 - )
Introduction to Digital Philosophy

Monday, February 01, 2021

Edge of Chaos


"Complex systems have evolved which may have learned to balance divergence and convergence, so that they're poised between chaos and order ... It's precisely those systems that can simultaneously perform the most complex tasks and evolve, in the sense that they can accumulate successive useful variations. The very ability to adapt is itself, I believe, the consequence of evolution. You have to be a certain kind of complex system to adapt, and you have to be a certain kind of complex system to coevolve with other complex systems. We have to understand what it means for complex systems to come to know one another — in the sense that when complex systems coevolve, each sets the conditions of success for the others. I suspect that there are emergent laws about how such complex systems work, so that, in a global, Gaia-like way, complex coevolving systems mutually get themselves to the edge of chaos, where they're poised in a balanced state."

- Stuart Kauffman (1939 - )

Monday, January 25, 2021

Life & Entropy

"When things don't change any longer,
that's the end result of entropy,
the heat-death of the universe.
The more things go on moving,
interrelating, conflicting, changing,
the less balance there is -
and the more life."

Ursula K. Le Guin (1929 - 2018)

Sunday, January 24, 2021

Agencies of Magic


"A retired English working-man is sitting at his table with his wife and a friend, a returned British sergeant-major from India. The sergeant-major shows his hosts an amulet in the form of a dried, wizened monkey’s paw... [which has] the power of granting three wishes to each of three people... The last [wish of the first owner] was for death... His friend... wishes to test its powers. His first [wish] is for 200 pounds. Shortly thereafter there is a knock at the door, and an official of the company by which his son is employed enters the room. The father learns that his son has been killed in the machinery, but that the company... wishes to pay the father the sum of 200 pounds... The grief-stricken father makes his second wish -that his son may return- and when there is another knock at the door... something appears... the ghost of the son. The final wish is that the ghost should go away. In these stories, the point is that the agencies of magic are literal-minded... The new agencies of the learning machine are also literal minded. If we program a machine... and ask for victory and do not know what we mean by it, we shall find the ghost knocking at our door."

A "updated" fable of the Monkey's Paw,
as quoted in a recent paper on Superintelligence 

Thursday, January 21, 2021

Imperceptible Chains


"If man made himself the first object of study, he would see how incapable he is of going further. How can a part know the whole? But he may perhaps aspire to know at least the parts to which he bears some proportion. But the parts of the world are all so related and linked to one another, that I believe it impossible to know one without the other and without the whole.

Man, for instance, is related to all he knows. He needs a place wherein to abide, time through which to live, motion in order to live, elements to compose him, warmth and food to nourish him, air to breathe. He sees light; he feels bodies; in short, he is in a dependent alliance with everything. To know man, then, it is necessary to know how it happens that he needs air to live, and, to know the air, we must know how it is thus related to the life of man, etc. Flame cannot exist without air; therefore to understand the one, we must understand the other.

Since everything then is cause and effect, dependent and supporting, mediate and immediate, and all is held together by a natural though imperceptible chain, which binds together things most distant and most different, I hold it equally impossible to know the parts without knowing the whole, and to know the whole without knowing the parts in detail."

- Blaise Pascal (1623 - 1662)

Wednesday, January 20, 2021

Musings on the Creative Process: Left-Brain / Right-Brain Blending


 "It's always seemed like
a big mystery how nature,
seemingly so effortlessly,
manages to produce so much
that seems to us so complex.
Well, I think we found its secret.
It's just sampling what's
out there in the
computational universe."

- Stephen Wolfram (1959 - )

I apologize beforehand for what might seem like a long and bizarre excursion away from photography; but please bear with me as the following musings are very much in the vein of exploring the "creative process" of photography (well, at least, a glimpse of the creative process I've recently been immersed in!). Specifically, those aspects of the creative process that lie at the cusp of traditional left/right brain functions. Leaving aside the reality of such a dichotomy (e.g., see this recent paper), let us posit that left-brain processes focus more on logic and analytic thinking, and that right-brain processes focus on art and intuition more. Of course, all of us continually engage both sides throughout our waking hours, albeit with our own unique rhythms of shifting/combining focus and modulating relative emphasis. In my case, I live in two - usually quite separate - worlds, deliberately broken up into "what I do during my work week" (employed, as I am, as a physicist at a federally funded research & development center) and "what I do during essentially all available off hours" (which, among other things, has resulted in this photography blog and more fun with my cameras, lenses, filters, and tripods than I deserve in the 45+ years I've been doing photography). Occasionally, as I'm about to do here, I combine my two sides; though not always for the better - you, kind reader, can judge whether I've strayed a bit too far in this case.

"Working with mental images activates a different mode
of consciousness which is holistic and intuitive." 
Henri Bortoft (1938 - 2012)

So many ideas come to mind as I ponder this question: Goethe's Holistic Seeing; Bohm's Implicate Order; and Alexander's (opus on fundamental organizing principles of "life forms") Nature of Order, all come to mind. But I will leave the discussion of these approaches for a later entry. For now, these ideas will have to serve merely as backdrops of my explanation of how I've partly fused my "left-brain/right-brain" activities over the last week or so (I promise to keep it short :). 

At its core, my usual "right brain" approach to photography cannot be simpler: I pick up my camera bag and tripod, head out for a walk to a local park (or just go downstairs to a "studio" I've set up for to experiment with color abstracts), and start shooting. If something catches the eye, I shoot. That's about it. And the less ("left-brain") thinking that is involved, the better (though it sometimes leads to thinking about thinking, which I've written about before). The only important - and almost entirely unconscious - action I take is to choose the time I press the shutter (I've assuming that such minutiae as f-stops, exposure times, filters, and the like are "automatic" and add little to the story I'm trying to tell here). OK, so far, so good.

"So the relationship of each moment in the whole to all the others
is implied by its total content: the way in which it
'holds’ all the others enfolded within it." 
David Bohm (1917 - 1992) 

This is where my several-week-old left-brain machinations come in. While looking over a portfolio of recent abstracts (including those "discovered" in marble and crystals), I ran across a number that fell into the "whole contains other wholes" pictures I described above. I was sitting at the same PC that facilitates both my left-brain (Photoshop) and right-brain (Mathematica) activities, and reflected the same basic type of question I normally reserve for my left-brain: "How can I find the 'best' image?" - meaning one that best satisfies my desire to show "interesting parts" of an image, but in such a way that the whole is still implicitly within sight, "just barely out of reach." I had earlier experimented with breaking up images into thirds and looking for "interesting juxtapositions" (e.g., exchanging the 1st and 2nd panel interchanged, but leaving the 3rd panel fixed). And, while that did lead to some interesting variations, it was also a painstakingly long process. These preliminary experiments were akin to a kind of improvisational play,  wherein I manually dissected each image and created select juxtapositions of interest. Noting that something interesting can actually be found by following this method, my left-brain finally clicked into action.

While the process is still "simple" (relatively speaking), and can - and will - easily be improved upon in coming days and weeks, I wrote a Mathematica function that automatically breaks an image into thirds (i.e., my 3-word alphabet of 'panels' to be used in  constructing new triptychs); applies all possible combinations of (1) leaving the orientation of a given panel unchanged (or as 'original = O'), (2) flipping a panel in the horizontal direction ('HF'), (3) flipping a panel in the vertical direction ('VF'), and (4) rotating a panel 180 deg (i.e., perform a vertical rotation = 'VR'); and assembling the new panels into a triptych with a bit of white space between and on the outside perimeter of the whole image. (90 deg rotations are not allowed, because in order to retain the same aspect ratio, the panels would all need to be square.) The Mathematica function is constrained to not create any triptychs in which the original panel order is left unchanged, since my goal is to find combinations of individually interesting images - in this case, panels - in which the whole, or original image, is only implicit and not directly observable. A bit of counting shows that, with this constraint, there are a total of 320 possible 'panel exchange + rotation/flip' combinations. This is significantly more than I can create by hand, but is easily doable in a few seconds by feeding my Mathematica function a starting image of choice. More specifically (since it is hard to visually digest 320 images at once), I had Mathematica display a smaller array of 16 random triptychs out of the complete set that my right-brain can inspect - and select interesting variants of - "at a glance." 

"No pattern is an isolated entity. Each pattern can exist in the
world only to the extent that is supported by other patterns:
the larger patterns in which it is embedded, the patterns of the
same size that surround it, and the smaller patterns
which are embedded in it."

- Christopher Alexander (1936 - ) 

Two such arrays are displayed at the top of this post, along with - on the right hand side - one of the images I like best. By design, all of the randomly constructed triptychs share the two most important qualities I am searching for: (1) each of the panels is "interesting" (since this cannot be expected to be true of just any image, the starting image must already be specially selected), and (2) the starting image is visible only implicitly, since the viewer is allowed to see only the juxtaposed panels, not in their original order). As for what makes triptych x more/less interesting than triptych y? That's where the right brain jumps back into the process, as it subjectively selects one out of many - just because; though, because of the way my left-brain constructed the samples from which my right-brain is asked to choose (leaving out the "real" image), the right-brain is faced with - what for me, is - an intoxicating aesthetic tension between parts and an implicit whole. Indeed, the pleasure I get from finding and viewing "interesting images" of this sort are a direct analogue of the creative process by which they are spawned. In the same way as (I've just described) my left-brain helps me sort, dissect, operate-on, and create a multiverse of same-but-different sets of images that my right-brain generated the 'starting set' for (by intuitively capturing the original image) - my right-brain now delights in teasing apart the tension between the parts and wholes of images that my left-brain constructed for me (thus revealing "interesting" sets of images otherwise invisible to my own eye). 

Importantly, at least as far as photography - and aesthetics - are concerned, both sides of this creative process are fueled by search, discovery, and selection. That is, a search for a place and time to take a photograph, discovering an image, and selecting how and when to capture it. The only difference between my usual photography and the (admittedly laborious seeming) process described above is the space over which the search, discovery, and selection is conducted: i.e., a meta-space of images constructed out of images already taken vs. the physical world in which an original set of images is captured. The extra delight (I continue to have as I experiment with left-brain / right-brain blending) is that - at least temporarily - both sides of my brains are actively engaged in pursuit of an unchanging goal: to find "interesting images" :)

Here some additional "discoveries" in my left-brain constructed multiverse of meta-images (with more sure to follow)...