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

Monday, August 03, 2026

Overtones and Vibrations


"String theory is an attempt at a deeper description of nature by thinking of an elementary particle not as a little point but as a little loop of vibrating string. One of the basic things about a string is that it can vibrate in many different shapes or forms, which gives music its beauty. If we listen to a tuning fork, it sounds harsh to the human ear. And that’s because you hear a pure tone rather than the higher overtones that you get from a piano or violin that give music its richness and beauty.

So in the case of one of these strings it can oscillate in many different forms - analogously to the overtones of a piano string. And those different forms of vibration are interpreted as different elementary particles: quarks, electrons, photons. All are different forms of vibration of the same basic string. Unity of the different forces and particles is achieved because they all come from different kinds of vibrations of the same basic string."

- Edward Whitten (1951 - )

Sunday, August 02, 2026

Universal Consciousness

"A spiritual evolution, an evolution of consciousness in Matter in a constant developing self-formation till the form can reveal the indwelling spirit, is then the keynote, the central significant motive of the terrestrial existence. This significance is concealed at the outset by the involution of the Spirit, the Divine Reality, in a dense material Inconscience; a veil of Inconscience, a veil of insensibility of Matter hides the universal Consciousness-Force which works within it, so that the Energy, which is the first form the Force of creation assumes in the physical universe, appears to be itself inconscient and yet does the works of a vast occult Intelligence.
...
They are the seven colours of the light of the divine consciousness, the seven rays of the Infinite, and by them the Spirit has filled in on the canvas of his self-existence conceptually extended, woven of the objective warp of Space and the subjective woof of Time, the myriad wonders of his selfcreation great, simple, symmetrical in its primal laws and vast framings, infinitely curious and intricate in its variety of forms and actions and the complexities of relation and mutual effect of all upon each and each upon all. These are the seven Words of the ancient sages; by them have been created and in the light of their meaning are worked out and have to be interpreted the developed and developing harmonies of the world we know and the worlds behind of which we have only an indirect knowledge. The Light, the Sound is one; their action is sevenfold."

- Sri Aurobindo (1872 - 1950)
The Life Divine

Sunday, July 19, 2026

Underlying Manifestations



"Mathematicians are beginning to view order and chaos as two distinct manifestations of an underlying determinism. And neither state exists in isolation. The typical system can exist in a variety of states, some ordered, some chaotic. Instead of two opposed polarities, there is a continuous spectrum. As harmony and discord combine in musical beauty, so order and chaos combine in mathematical (and physical) beauty."

- Ian Stewart (1945 - )

Monday, July 13, 2026

Broken Symmetry


"The state of a really big system does not at all have to have the symmetry of the laws which govern it; in fact, it usually has less symmetry. [...] In my own field of many-body physics, we are, perhaps, closer to our fundamental, intensive underpinnings than in any other science in which non-trivial complexities occur, and as a result we have begun to formulate a general theory of just how this shift from quantitative to qualitative differentiation takes place. This formulation called the theory of 'broken symmetry' may be of help in making more generally clear the breakdown of the constructive converse of reductionism."

- Philip W. Anderson (1923 - 2020)

Sunday, July 12, 2026

Principial Unity



"All that exists, in whatever mode this may be, necessarily participates in universal principles, and nothing exists except by participation in these principles, which are the eternal and immutable essences contained in the permanent actuality of the Divine Intellect. Consequently, it can be said that all things, however contingent they may be in themselves, express or represent these principles in their own way and according to their order of existence, for otherwise they would be purely and simply nothingness. Thus, from one order to another, all things are linked together and correspond, to come together in total and universal harmony, for harmony is nothing other than the reflection of principial unity in the manifested world."

- René Guénon (1886 - 1951)

Friday, June 12, 2026

Crumpled Manifolds


"The whole process of applying this complex geometric transformation to the input data can be visualized in 3D by imagining a person trying to uncrumple a paper ball: the crumpled paper ball is the manifold of the input data that the model starts with. Each movement operated by the person on the paper ball is similar to a simple geometric transformation operated by one layer. The full uncrumpling gesture sequence is the complex transformation of the entire model. Deep learning models are mathematical machines for uncrumpling complicated manifolds of high-dimensional data. [...] Our own understanding of images, sounds, and language, is grounded in our sensorimotor experience as humans -as embodied earthly creatures. Machine learning models have no access to such experiences and thus cannot 'understand' their inputs in any human-relatable way [...] this mapping is just a simplistic sketch of the original model in our minds, the one developed from our experience as embodied agents—it is like a dim image in a mirror."

- François Chollet (1989 - )

Monday, May 04, 2026

Seed Unfolding


"The One, perfect in seeking nothing, possessing nothing and needing nothing, overflows and creates a new reality by its superabundance. [...] The process is like the unfolding of a seed, moving from simple origin to termination in the world of sense, the prior always remaining in its place, while begetting its successor from a store of indescribable power - power that must not halt within the higher realm [...] but continue to expand until the universe of things reaches the limit of its possibility, lavishing its vast resources on all its creatures, intolerant that any one should have no share in it. Nothing is debarred from participation in the Good, to the extent of its receptivity. "

Plotinus (c. 204/5 – 270 CE)
The Enneads

Wednesday, April 29, 2026

Possible Worlds


 "As there are an infinity of possible worlds,
there are also an infinity of laws,
certain ones appropriate to one; others,
to another, and each possible individual
of any world involves in its concept
the laws of its world."

G.W. Leibniz (1646 - 1716)

Sunday, April 26, 2026

Fleeting Vortices


"[Physicists and naturalists cannot] look down from a great height upon a world which their consciousness could penetrate without being submitted to it or changing it. [...] a more complete study of the movements of the world will oblige us ... to discover that if things hold and hold together, it is only by reason of complexity, from above.
...
Hence we find our minds instinctively tending to represent energy as a kind of homogeneous, primordial flux in which all that has shape in the world is but a series of fleeting 'vortices'. [...] each new being has and must have a cosmic embryogenesis ...
...
Science, philosophy and religion are bound to converge ...
but without merging, and without ceasing, to the very end,
to assail the real from different angles
and on different planes."

Teilhard De Chardin (1881- 1955)
The Phenomenon of Man

Saturday, April 25, 2026

More is Diferent


"At each level of complexity entirely new properties appear, and the understanding of the new behaviors requires research which I think is as fundamental in its nature as any other. That is, it seems to me that one may array the sciences roughly linearly in a hierarchy, according to the idea: The elementary entities of science X obey the laws of science Y. But this does not at all imply that science X is 'just' science Y. At each stage entirely new laws, concepts, and generalizations are necessary, requiring inspiration and creativity to just as great a degree as in the previous one."

- Philip W. Anderson (1923 - 2020)
More is Different

Wednesday, April 22, 2026

Unfolding Forms


"The essential order of movement is not that of an object translating itself from one place to another, but rather, it is a folding and unfolding, in which the object is continually being created again, in a form generally similar to what it was, though different in detail. The explicate order of movement of the object is thus not independent, substantial, and self-existent. We suggest instead that it is an appearance, abstracted from the implicate order, on which it depends and from which it derives its whole form and set of characteristic relationships.
...
What all this means is that the flux of the holomovement is the implicate source of all forms, both physical and mental. That is to say, the whole of existence, including inanimate matter, living organisms, and ‘mind,’ arises in a single ground, in which these are all enfolded, or contained implicitly. 
...
It is clear that, in this view, living organisms are to be regarded as particular manifestations of what is ultimately enfolded in the inward depths of the holomovement. We are suggesting here that a living organism has a more direct contact with what is thus enfolded in the holomovement than does inanimate matter. [...] One can appropriately call the holomovement the life energy, which is the ground that ultimately creates and sustains all matter and all mind, as two relatively autonomous and independent streams that may move in parallel."

 - David Bohm (1917 - 1992)
The Implicate or Enfolded Order
Quoted from Chapter 1 in Mind in Nature: the Interface of Science and Philosophy

Tuesday, April 21, 2026

Forces Eternal


 "Here doth Nature close the ring of her forces eternal;
Yet doth a new one, at once, cling to the one gone before,
So that the chain be prolonged for ever through all generations,
And that the whole may have life, e'en as enjoyed by each part.
Now, my beloved one, turn thy gaze on the many-hued thousands
Which, confusing no more, gladden the mind as they wave.
Every plant unto thee proclaimeth the laws everlasting.
Every floweret speaks louder and louder to thee."

Johann Wolfgang von Goethe (1749 - 1832)
 The Metamorphosis of Plants

Saturday, April 11, 2026

Cosmic Soul


"I perceived that I was on a little round grain of rock and metal, filmed with water and with air, whirling in sunlight and darkness. And on the skin of that little grain all the swarms of men, generation by generation, had lived in labor and blindness, with intermittent joy and intermittent lucidity of spirit. And all their history, with its folk-wanderings, its empires, its philosophies, its proud sciences, its social revolutions, its increasing hunger for community, was but a flicker in one day of the lives of the stars.
...
It did not seem impossible that man himself was the germ of the world-soul, which, we still hope, is destined to awake for a while before the universal decline, and to crown the eternal cosmos with its due of knowledge and admiration, fleeting yet eternal. [...] It is even conceivable that every creative advance that any mind has ever made involves unwitting co-operation with the cosmic mind which, perhaps, will awake at some date before the End.
...
The cosmos exploded, actualizing its potentiality of space and time. The centers of power, like fragments of a bursting bomb, were hurled apart. But each one retained in itself, as a memory and a longing, the single spirit of the whole; and each mirrored in itself aspects of all the others throughout all the cosmical space and time."

Olaf Stapledon (1886 - 1950)
Last and First Men and Star Maker

Friday, April 10, 2026

Shitao's Yihua


"On a windy, rainy, spring day, I am happy I have no visitors; my hand is free, my mind relaxed and cleansed. The ancients called it yihua, the 'single stroke': a thousand hills, ten thousand valleys, people, bamboo, trees, a single brushstroke and all is completed. On one level, yihua constitutes a very practical concept: a complete design begins and finishes with the single brushstroke. On a metaphysical level, it suggests that 'myriad strokes are reunited in oneness' through the mind and hand of the artist and through the artist's spiritual communion with nature."

- Shitao (642–1707)

Thursday, April 09, 2026

Movements of Mind


"The life of forms is not the result of chance. Nor is it a great cyclorama neatly fitted into the theater of history and called into being by historical necessities. No. Forms obey their own rules - rules that are inherent in the forms themselves, or better, in the regions of the mind where they are located and centered - and there is no reason why we should not undertake an investigation of how these great ensembles, united by close reasoning and by coherent experiment, behave throughout the phases that we call their life. The successive states through which they pass are more or less lengthy, more or less intense, according to the style itself. [...] We must never think of forms, in their different states, as simply suspended in some remote, abstract zone, above the earth and above man. They mingle with life, whence they come; they translate into space certain movements of the mind. [...] We must, in the truest sense of the word, follow closely at its heels; we must take careful note of how it lives its life."

- Henri Focillon (1881 - 1943)
The Life of Forms in Art

Wednesday, April 08, 2026

Unknown Worlds


"Without a living subject,
there can be neither space nor time.
...
[This is] "...what one might call the description of a walk into unknown worlds. These worlds are not only unknown; they are also invisible. Furthermore, the justification for their existence is denied by many zoologists and physiologists. [...] While this assertion will sound odd to anyone familiar with those worlds, it can be explained by the fact that not everyone has access to those worlds. Certain convictions are able to bar the entrance to those worlds so securely that not even one ray of all the splendor that spreads over them can penetrate it. Whoever wants to hold on to the conviction that all living things are only machines should abandon all hope of glimpsing their environments. [...] Every subject spins out, like the spider's threads, its relations to certain qualities of things and weaves them into a solid web, which carries its existence.
...
Each subject lives in a world where there is
only of subjective realities and where the
same environments represent
only subjective realities."

Jakob von Uexküll (1864 - 1944)
 A Foray Into the Worlds of Animals and Humans:
With a Theory of Meaning

Monday, April 06, 2026

Infinite Garden


"The Author of nature has been able to employ this divine and infinitely wonderful power of art, because each portion of matter is not only infinitely divisible, as the ancients observed, but is also actually subdivided without end, each part into further parts, of which each has some motion of its own; otherwise it would be impossible for each portion of matter to express the whole universe. [...] Each portion of matter may be conceived as like a garden full of plants and like a pond full of fishes. But each branch of every plant, each member of every animal, each drop of its liquid parts is also some such garden or pond. [...] And although the earth and the air interspersed between the plants in the garden, or the water interspersed between the fish in the pond, are not themselves plant or fish, yet they still contain them, though more often than not of a subtlety imperceptible to us. [...] Therefore there is nothing uncultivated, nothing sterile, nothing dead in the universe, no chaos, no confusion, except in appearance."

G.W. Leibniz (1646 - 1716)
Monadology

Sunday, April 05, 2026

Mycomagicians


"Mushrooms hold the secrets to the universe,
to life on our planet, and
 the core of our being.
...
There are more species of fungi, bacteria, and protozoa in a single scoop of soil than there are species of plants and vertebrate animals in all of North America. And of these, fungi are the grand recyclers of our planet, the mycomagicians disassembling large organic molecules into simpler forms, which in turn nourish other members of the ecological community. Fungi are the interface organisms between life and death. [...] Biological systems are influenced by the laws of physics, and it may be that mycelium exploits the natural momentum of matter, just like salmon take advantage of the tides.
...
Mushrooms are the key to unlocking the
mysteries of the natural world."

Paul Stamets (1955 - )
Mycelium Running:
How Mushrooms Can Help Save the World

Tuesday, March 03, 2026

There is a Cause

"To return to the difficulty which has been stated with respect both to definitions and to numbers, what is the cause of their unity? In the case of all things which have several parts and in which the totality is not, as it were, a mere heap, but the whole is something beside the parts, there is a cause."

 - Aristotle (384–322 BC)

Friday, February 20, 2026

One Seen as Many


"Being the one, the universal Soul is present in all beings. Though one, It is seen as many, like the moon in the water ... Just as it is the jar which being removed (from one place to another) changes places and not the Akasha ['fifth element' or ether] enclosed in the jar – so is the Jiva [individual, embodied soul] which resembles the Akasha ...When various forms like the jar are broken again and again the Akasha does not know them to be broken, but He knows perfectly. Being covered by Maya [cosmic illusion that veils the true nature of reality], which is a mere sound, It does not, through darkness, know the Akasha (the Blissful one). When ignorance is rent asunder, It being then Itself only sees the unity."

- Amritabindu Upanishad (100 BCE to 300 CE)