Qualitative Forms

"We have written the equations of water flow. From experiment, we find a set of concepts and approximations to use to discuss the solution - vortex streets, turbulent wakes, boundary layers. When we have similar equations in a less familiar situation, and one for which we cannot yet experiment, we try to solve the equations in a primitive, halting, and confused way to try to determine what new qualitative features may come out, or what new qualitative forms are a consequence of the equations. Our equations for the sun, for example, as a ball of hydrogen gas, describe a sun without sunspots, without the rice-grain structure of the surface, without prominences, without coronas. Yet, all of these are really in the equations; we just haven't found the way to get them out.

...

The next great era of awakening of human intellect may well produce a method of understanding the qualitative content of equations. Today we cannot. Today we cannot see that the water flow equations contain such things as the barber pole structure of turbulence that one sees between rotating cylinders. Today we cannot see whether Schrodinger's equation contains frogs, musical composers, or morality - or whether it does not.

...

If water - which is nothing but these little blobs, mile upon mile of the same thing over the earth - can form waves and foam, and make rushing noises and strange patterns as it runs over cement; if all of this, all the life of a stream of water, can be nothing but a pile of atoms, how much more is possible?"

- Richard Feynman (1918 - 1988)

Waves of Consciousness

"Waves of consciousness roll in, roll out,
leave some writing, and just as quickly
new waves roll in and erase it.
I try to quickly read what's
written there, but it's hard,"

- Haruki Murakami (1949 - )
Kafka on the Shore

"When left alone, quantum particles behave as multiple images of themselves (as waves, really), simultaneously moving through all possible paths in space and time. Now, again, why do we not experience this multitude around ourselves? Is it because we are probing things around us all the time? Why do all experiments that involve, say, the position of a particle make the particle suddenly be somewhere rather than everywhere? No one knows. Before you probe it, a particle is a wave of possibilities. After you've probed it, it is somewhere, and subsequently it is somewhere for ever, rather than everywhere again. Strange, that. Nothing, within the laws of quantum physics, allows for such a collapse to happen. It is an experimental mystery and a theoretical one. Quantum physics stipulates that whenever something is there, it can transform into something else, of course, but it cannot disappear. And since quantum physics allows for multiple possibilities simultaneously, these possibilities should then keep existing, even after a measurement is made. But they don't. Every possibility but one vanishes. We do not see any of the others around us. We live in a classical world, where everything is based on quantum laws but nothing resembles the quantum world."

- Christophe Galfard (1976 - )
 The Universe in Your Hand

Pattern of Information

"Life is the only thing in the universe that can make objects that are composed of many unique, recursively constructed parts.

...

If we are ever to understand what life really is, we need to recognize that among the unimaginably large number of things that could exist, or even the smaller subset of ones that we can imagine, only an infinitesimal fraction ever will. Things come into existence when and where it is possible to—and what we call life is the mechanism for making specific things possible when the possibility space is too large for the universe to ever explore all of it.

...

We are each just one temporary instance of life on this planet—a pattern of information structuring matter across billions of years."

- Sara Imari Walker
Life as No One Knows It

Enfolded Mysteries

"That we do not construct the external world to suit our own ends in the pursuit of science, but that vice versa the external world forces itself upon our recognition with its own elemental power, is a point which ought to be categorically asserted again and again.

...

From the fact that in studying the happenings of nature we strive to eliminate the contingent and accidental and to come fully to what is essential and necessary, it is clear that we always look for the basic thing behind the dependent thing, for what is absolute behind what is relative, for the reality behind the appearance and for what abides behind what is transitory.

...

Science cannot solve the ultimate mystery of nature. And that is because, in the last analysis, we ourselves are part of nature and therefore part of the mystery that we are trying to solve. Music and art are, to an extent, also attempts to solve or at least to express the mystery. But to my mind, the more we progress with either, the more we are brought into harmony with all nature itself.

...

If you change the way you look at things,
the things you look at change."

- Max Planck (1858 - 1947)

Entanglement

"Indeed, it is the quantum entanglement between the 'object' and the 'agencies of observation,' in this case, between the atom and the apparatus that is precisely what we need to attend to in making the interference pattern evident. Once again we see evidence for the ontological priority of phenomena over objects. If one focuses on abstract individual entities the result is an utter mystery, we cannot account for the seemingly impossible behavior of the atoms. It’s not that the experimenter changes a past that had already been present or that atoms fall in line with a new future simply by erasing information. The point is that the past was never simply there to begin with and the future is not simply what will unfold; the 'past' and the 'future' are iteratively reworked and enfolded through the iterative practices of spacetimemattering—including the which-slit detection and the subsequent erasure of which-slit information—all are one phenomenon."

- Karen Barad (1956 - )
 Meeting the Universe Halfway

Vibrating Universe

"Gravitational waves are fundamentally different. Not only is a gravitational wave a side-to-side, lateral wave like light, not a longitudinal wave like sound, but it isn’t a ripple through objects in spacetime; it passes through spacetime itself. When a gravitational wave passes by, spacetime squeezes and contracts. This oscillation influences matter, which exists in spacetime – but doesn’t require matter to be able to travel. It’s quite demeaning to gravitational waves to call their detection ‘hearing the sound of black holes in space’ as some have done. By comparison, sound is a trivial local effect. Gravitational waves make the universe itself vibrate."

- Brian Clegg (1955 - )
Gravitational Waves

Web of Conjectures

"Before Einstein, geometry was thought to be part of the laws. Einstein revealed that the geometry of space is evolving in time, according to other, deeper laws ... It is important to absorb this point completely. The geometry of space is not part of the laws of nature. There is therefore nothing in those laws that specifies what the geometry of space is. Thus, before solving the equations of Einstein's general theory of relativity, you don't have any idea what the geometry of space is. You find out only after you solve the equations.

...

We have to find a way to unfreeze time-to represent time without turning it into space. I have no idea how to do this. I can't conceive of a mathematics that doesn't represent a world as if it were frozen in eternity. It's terribly hard to represent time, and that's why there's a good chance that this representation is the missing piece.

...

What we have, in fact, is not a theory at all but a large collection of approximate calculations, together with a web of conjectures that, if true, point to the existence of a theory."

- Lee Smolin (1955 - )
 The Trouble with Physics

Paradoxes and Contradictions

"We can pull atoms apart, peer back at the first light and predict the end of the universe with just a handful of equations, squiggly lines and arcane symbols that normal people cannot fathom, even though they hold sway over their lives. But it's not just regular folks; even scientists no longer comprehend the world. Take quantum mechanics, the crown jewel of our species, the most accurate, far-ranging and beautiful of all our physical theories. It lies behind the supremacy of our smartphones, behind the Internet, behind the coming promise of godlike computing power. It has completely reshaped our world. We know how to use it, it works as if by some strange miracle, and yet there is not a human soul, alive or dead, who actually gets it. The mind cannot come to grips with its paradoxes and contradictions. It's as if the theory had fallen to earth from another planet, and we simply scamper around it like apes, toying and playing with it, but with no true understanding."

- Benjamín Labatut (1980 - )
When We Cease to Understand the World

Transcending the Subject

"The fact that these highly abstract notions coalesce in such refined harmony is absolutely mind-boggling. It points to something rich and mysterious lurking beneath the surface, as if the curtain had been lifted and we caught glimpses of the reality that had been carefully hidden from us. These are the wonders of modern math, and of the modern world.

...

The interaction between math and physics is a two-way process, with each of the two subjects drawing from and inspiring the other. At different times, one of them may take the lead in developing a particular idea, only to yield to the other subject as focus shifts. But altogether, the two interact in a virtuous circle of mutual influence.

...

The essence of mathematics lies in its freedom.” Mathematics teaches us to rigorously analyze reality, study the facts, follow them wherever they lead. It liberates us from dogmas and prejudice, nurtures the capacity for innovation. It thus provides tools that transcend the subject itself."

- Edward Frenkel (1968 - )
Love and Math: The Heart of Hidden Reality

Time and Memory

"This is the disconcerting conclusion that emerges from Boltzmann’s work: the difference between the past and the future refers only to our own blurred vision of the world. It’s a conclusion that leaves us flabbergasted: is it really possible that a perception so vivid, basic, existential—my perception of the passage of time—depends on the fact that I cannot apprehend the world in all of its minute detail? On a kind of distortion that’s produced by myopia? Is it true that, if I could see exactly and take into consideration the actual dance of millions of molecules, then the future would be “just like” the past?

...

Temporality is profoundly linked to blurring. The blurring is due to the fact that we are ignorant of the microscopic details of the world. The time of physics is, ultimately, the expression of our ignorance of the world. Time is ignorance.

...

I am my mother’s caresses, and the serene kindness with which my father calmly guided me; I am my adolescent travels; I am what my reading has deposited in layers in my mind; I am my loves, my moments of despair, my friendships, what I’ve written, what I’ve heard; the faces engraved on my memory. I am, above all, the one who a minute ago made a cup of tea for himself. The one who a moment ago typed the word “memory” into his computer. The one who just composed the sentence that I am now completing. If all this disappeared, would I still exist? I am this long, ongoing novel. My life consists of it."

- Carlo Rovelli (1956 - )
The Order of Time

Quantum Realities

"To understand this new frontier, I will have to try to master one of the most difficult and counterintuitive theories ever recorded in the annals of science: quantum physics. Listen to those who have spent their lives immersed in this world and you will have a sense of the challenge we face. After making his groundbreaking discoveries in quantum physics, Werner Heisenberg recalled, 'I repeated to myself again and again the question: Can nature possibly be so absurd as it seemed to us in these atomic experiments?' Einstein declared after one discovery, 'If it is correct it signifies the end of science.' Schrödinger was so shocked by the implications of what he'd cooked up that he admitted, 'I do not like it and I am sorry I had anything to do with it.' Nevertheless, quantum physics is now one of the most powerful and well-tested pieces of science on the books. Nothing has come close to pushing it off its pedestal as one of the great scientific achievements of the last century. So there is nothing to do but to dive headfirst into this uncertain world. Feynman has some good advice for me as I embark on my quest: 'I am going to tell you what nature behaves like. If you will simply admit that maybe she does behave like this, you will find her a delightful, entrancing thing. Do not keep saying to yourself, if you can possibly avoid it, 'But how can it be like that?' because you will get 'down the drain,' into a blind alley from which nobody has yet escaped. Nobody knows how it can be like that.'"

- Marcus du Sautoy (1965 - )
 The Great Unknown

Geometrodynamics

"The universe does not exist “out there,” independent of us. We are inescapably involved in bringing about that which appears to be happening. We are not only observers. We are participators. In some strange sense, this is a participatory universe. Physics is no longer satisfied with insights only into particles, fields of force, into geometry, or even into time and space. Today we demand of physics some understanding of existence itself."

- John Archibald Wheeler (1911 - 2008)

Time and Space

"Because of the hazy, nondefinite character of quantum physics (called the Heisenberg uncertainty principle), at the dimensions of the Planck length, space and time churn and seethe, with the distance between any two points wildly fluctuating from moment to moment, and time randomly speeding and slowing, perhaps even going backward and forward. In such a situation, time and space no longer exist in a way that has meaning to us."

- Alan Lightman (1948 - )
Probable Impossibilities

 

Full of Fire

"When primitive man gained control over fire, it was a great step. However, the Universe is full of fire; consider the stars. Because we can think, and nothing else on our planet seems to be able to do so, it is natural for us to hold our intellectual prowess in great esteem. However, it may be that information processing, instead of being the sole province of us humans and our machines, may be a part of almost everything else in physics. Life itself, is clearly mediated by digital information; the genetic code. Digital Mechanics assumes that physics is also a process based on informational processes. We may need to rid ourselves of the prejudice that purposeful, thought related action is exclusively the domain of humans or perhaps aliens similar to humans. There are kinds of thinking that are qualitatively unimaginable to us though we can think about it quantitatively. We should not be afraid to consider intellectual activity as the driving force behind the creation of the Universe. By a close and quantitative examination of the possible parameters of Digital Mechanics, we can arrive at reasonable guesses as to what might be the purpose behind the creation of a universe like ours. That, in turn, can lead us towards intelligent speculations about Other, the space that contains the engine of our world."

- Edward Fredkin (1934 - 2023)
A New Cosmogony

Manifest Form

"The harmony of the world is
made manifest in Form and Number,
and the heart and soul and all the
poetry of Natural Philosophy are embodied
in the concept of mathematical beauty.

...

Cell and tissue, shell and bone, leaf and flower, are so many portions of matter, and it is in obedience to the laws of physics that their particles have been moved, moulded and confirmed... Their problems of form are in the first instance mathematical problems, their problems of growth are essentially physical problems, and the morphologist is, ipso facto, a student of physical science."

- D’Arcy Wentworth Thompson (1860 - 1948)
On Growth and Form

Observer-Centric Virtualities

"Your Universe is in consciousness. And it’s a teleological process of unfolding patterns...The totality of your digital reality is what your conscious mind implicitly or explicitly chooses to experience out of the infinite.

...

Self-causation of reality becomes apparent when a phenomenal mind, which is a web of patterns, conceives a novel pattern and perceives it. All mass-energy, space-time itself emerge from consciousness. Those are epiphenomena of consciousness.

...

Mind instantiates oneself into matter. In a mathematical sense, matter is an “in-formed” pattern of mind. Time is emergent, and so is space. If space-time is emergent, so is mass-energy. All interactions in our physical world is computed by the larger consciousness system. In short, mind is more fundamental than matter. All realities are observer-centric virtualities."

- Alex M. Vikoulov, Theology of Digital Physics

Neither Time nor Space

"The scene of action of reality is not a three-dimensional Euclidean space but rather a four-dimensional world, in which space and time are linked together indissolubly. However deep the chasm may be that separates the intuitive nature of space from that of time in our experience, nothing of this qualitative difference enters into the objective world which physics endeavors to crystallize out of direct experience. It is a four-dimensional continuum, which is neither "time" nor "space". Only the consciousness that passes on in one portion of this world experiences the detached piece which comes to meet it and passes behind it as history, that is, as a process that is going forward in time and takes place in space."

- Hermann Weyl (1885 - 1955)

Cartesian Fallacy

"The universe is wider than our views of it."

- Henry David Thoreau (1817 - 1862)

"Logic does not lead us from the fact that we are an integral part of the web of life to certain norms of how we should live. However, if we have the deep ecological experience of being part of the web of life, then we will (as opposed to should) be inclined to care for all of living nature. Indeed, we can scarcely refrain from responding in this way. 

By calling the emerging new vision of reality 'ecological' in the sense of deep ecology, we emphasize that life is at its very center. This is an important issue for science, because in the mechanistic paradigm physics has been the model and source of metaphors for all other sciences. 'All philosophy is like a tree,' wrote Descartes. 'The roots are metaphysics, the trunk is physics, and the branches are all the other sciences.'

The systems view of life has overcome this Cartesian metaphor. Physics, together with chemistry, is essential to understand the behavior of the molecules in living cells, but it is not sufficient to describe their self-organizing patterns and processes. At the level of living systems, physics has thus lost its role as the science providing the most fundamental description of reality. This is still not generally recognized today. Scientists as well as nonscientists frequently retain the popular belief that 'if you really want to know the ultimate explanation, you have to ask a physicist,' which is clearly a Cartesian fallacy. The paradigm shift in science, at its deepest level, involves a perceptual shift from physics to the life sciences."

- Fritjof Capra (1939 - ) and Pier Luigi Luisi (1938 - )
The Systems View of Life: A Unifying Vision

"Nature is an infinite sphere
whose center is everywhere and
whose circumference is nowhere."

- Blaise Pascal (1623 - 1662)

Improvisational Nature

"Perhaps the answers to these questions require fundamental advances at the interface of physics, the arts, and neuroscience. The deep links between musical form and physical form may be unveiled by understanding how both kinds of knowledge-music and physics-arise together in human brains and nowhere else. After all, brains, regardless of how mysterious they are, are the most complex structures in the universe.

...

It is amusing to speculate that the reason why music has the ability to move us so deeply is that it is an auditory allusion to our basic connection to the universe. If our cosmic origins are seated in sound patterns, is it too far-fetched to think that music viscerally enables us to tap into those origins?

...

What if there were a vibrational pattern
in the early universe capable of
generating the current complex
structure that we live in,
the complex structures that we are?
And what if these structures
had an improvisational nature."

- Stephon Alexander (1971 - )
The Jazz of Physics

Whirling Light

"Rotating systems often break axisymmetry; were it not so, there would be no hurricanes. There are steadier examples: the skirts of the 'whirling dervish' carry cusped wave patterns which seem to defy gravity and common sense.

...

We consider a rotating, conically symmetric surface made out of a sheet of material that is constrained not to stretch or compress in two dimensions, but is perfectly flexible with respect to bending in the third. The symmetry of the surface permits an additional material flow to be superimposed on the rotation of the surface, leading to Coriolis forces. The equations describing this system yield a three-parameter family of exact solutions, some of which bear a close resemblance to the patterns on a dervish's skirt. We find that the Coriolis terms that arise from the additional flow are crucial for these types of patterns to exist.

...

The results widen our understanding of the dynamics of flexible objects and of pattern formation in rotating systems. They may also shed some light on previously known instabilities of turbine disks and hard disks. Finally, they bring a bit of science into the otherwise nebulous world of the mystic, and address a phenomenon that has been observed with aesthetic pleasure for hundreds of years."

- J. Guven, J. Hanna and M. Müller,
"Whirling skirts and rotating cones,"
New Journal Of Physics (Nov, 2013)

Postscript. The images in the diptych that I took with my iPhone recently (of light reflecting off of cars parked onto the walls of a local garage) reminded me of Rumi's "Whirling Dervishes," about which you can read here and here (in considerably less technical detail than the one you'll find if you follow the link to the physics journal!)

“You are water, whirling water,
Yet still water trapped within,
Come, submerge yourself within us,
We who are the flowing stream.
...
We came whirling out of nothingness,
scattering stars like dust...
The stars made a circle,
and in the middle,
we dance.”

- Rumi (1207 - 1273