Near Symmetry of Nature

"So our problem is to explain where symmetry comes from. Why is nature so nearly symmetrical? No one has any idea why. The only thing we might suggest is something like this: There is a gate in Japan, a gate in Neiko, which is sometimes called by the Japanese the most beautiful gate in all Japan; it was built in a time when there was great influence from Chinese art. This gate is very elaborate, with lots of gables and beautiful carving and lots of columns and dragon heads and princes carved into the pillars, and so on. But when one looks closely he sees that in the elaborate and complex design along one of the pillars, one of the small design elements is carved upside down; otherwise the thing is completely symmetrical. If one asks why this is, the story is that it was carved upside down so that the gods will not be jealous of the perfection of man. So they purposely put an error in there, so that the gods would not be jealous and get angry with human beings. We might like to turn the idea around and think that the true explanation of the near symmetry of nature is this: that God made the laws only nearly symmetrical so that we should not be jealous of His perfection!"

- Richard Feynman (1918 - 1988)

Vibration of Quanta

"The quanta of gravity, that is, are not in space; they are themselves space. The spin networks that describe the quantum structure of the gravitational field are not immersed in space, they do not inhabit a space. The location of single quanta of space is not defined with regard to something else, but only by the links, and the relation these express.

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Space is a spin network whose nodes represent its elementary grains, and whose links describe their proximity relations. Space-time is generated by processes in which these spin networks transform into one another, and these processes are described by sums over spin foams. A spin foam represents a history of a spin network, hence a granular spacetime where the nodes of the graph combine and separate. This microscopic swarming of quanta, which generates space and time, underlies the calm appearance of the macroscopic reality surrounding us. Every cubic centimeter of space, and every second that passes, is the result of this dancing foam of extremely small quanta.

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In the world described by quantum mechanics there is no reality except in the relations between physical systems. It isn’t things that enter into relations but, rather, relations that ground the notion of ‘thing’. The world of quantum mechanics is not a world of objects: it is a world of events. Things are built by the happening of elementary events: as the philosopher Nelson Goodman wrote in the 1950s, in a beautiful phrase, ‘An object is a monotonous process.’ A stone is a vibration of quanta that maintains its structure for a while, just as a marine wave maintains its identity for a while before melting again into the sea."

- Carlo Rovelli (1956 - )

Surging and Ebbing

"All mass possesses inertia, all force tends to persist. Owing to this universal property and condition, a body, be it at rest or in motion, tends to remain in the same state, and a force, manifesting itself anywhere and through whatever cause, produces an equivalent opposing force, and as an absolute necessity of this it follows that every movement in nature must be rhythmical. It is borne out in everything we perceive—in the movement of a planet, in the surging and ebbing of the tide, in the reverberations of the air, the swinging of a pendulum, the oscillations of an electric current, and in the infinitely varied phenomena of organic life. Does not the whole of human life attest to it? Birth, growth, old age, and death of an individual, family, race, or nation, what is it all but a rhythm?  All life-manifestation, then, even in its most intricate form, as exemplified in man, however involved and inscrutable, is only a movement, to which the same general laws of movement which govern throughout the physical universe must be applicable."

- Nikola Tesla (1856 - 1943)
The Problem of Increasing Human Energy

The Unimaginable Universe

"On the back part of the step, toward the right, I saw a small iridescent sphere of almost unbearable brilliance. At first I thought it was revolving; then I realized that this movement was an illusion created by the dizzying world it bounded. The Aleph’s diameter was probably little more than an inch, but all space was there, actual and undiminished. Each thing (a mirror’s face, let us say) was infinite things, since I distinctly saw it from every angle of the universe. I saw the teeming sea; I saw daybreak and nightfall; I saw the multitudes of America; I saw a silvery cobweb in the center of a black pyramid; I saw a splintered labyrinth (it was London); I saw, close up, unending eyes watching themselves in me as in a mirror; I saw all the mirrors on earth and none of them reflected me; I saw in a back yard of Soler Street the same tiles that thirty years before I’d seen in the entrance of a house in Fray Bentos; I saw bunches of grapes, snow, tobacco, lodes of metal, steam; I saw convex equatorial deserts and each one of their grains of sand...

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I saw in a closet in Alkmaar a terrestrial globe between two mirrors that multiplied it endlessly; I saw horses with flowing manes on a shore of the Caspian Sea at dawn; I saw the delicate bone structure of a hand; I saw the survivors of a battle sending out picture postcards; I saw in a showcase in Mirzapur a pack of Spanish playing cards; I saw the slanting shadows of ferns on a greenhouse floor; I saw tigers, pistons, bison, tides, and armies; I saw all the ants on the planet...

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I saw a Persian astrolabe; ... I saw the rotted dust and bones ... I saw the circulation of my own dark blood; ... I saw the Aleph from every point and angle, and in the Aleph I saw the earth and in the earth the Aleph and in the Aleph the earth; I saw my own face and my own bowels; I saw your face; and I felt dizzy and wept, for my eyes had seen that secret and conjectured object whose name is common to all men but which no man has looked upon — the unimaginable universe."

- Jorge Luis Borges (1899 - 1986)
The Aleph

Portals of the Temple

"You were within the portals of the temple ...
to enter the wilderness and seek,
in the primal patterns of nature,
a magical union with beauty."

- Ansel Adams (1902 - 1984)

Zen Compositions

"The harder we try to catch hold of the moment, to seize a pleasant sensation..., the more elusive it becomes... It is like trying to clutch water in one's hands - the harder one grips, the faster it slips through one's fingers.

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But you cannot understand life and its mysteries as long as you try to grasp it. Indeed, you cannot grasp it, just as you cannot walk off with a river in a bucket. If you try to capture running water in a bucket, it is clear that you do not understand it and that you will always be disappointed, for in the bucket the water does not run. To “have” running water you must let go of it and let it run.

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Trying not to grasp is the same thing as to grasp since it's motivation is the same, my urgent desire to save my self from a difficulty. I can not get rid of this desire since it is one and the same desire as the desire to get rid of it."

- Alan Watts (1915 - 1973)

Postscript. My last post explained what my recent series of "autumnal abstracts" has to do with quantum mechanics. This post is meant to convey the complementary explanation of what my autumnal abstracts have to do with Zen. Leaving aside the unintentional recursivity of the word "complementary" (since the concept has a formal meaning in quantum mechanics), here is an alternative summary of how using knee-high waterproof boots to get "up close and personal" to patterns of leaves in the creek - ostensibly to get better compositions - failed miserably. As I explained in the last post, no matter how slowly I approached a clump of leaves, invariably, the ripples induced in the water by my boots would dislodge one or more of the key elements of whatever composition I saw in my mind's eye. By the time I stood over the spot where I saw the original pattern, most of the leaves were gone. Here is where the Zen side of story begins...

The first day I donned my boots, it took me about a dozen attempts to learn how to "minimally disturb" whatever it was that caught my eye; to emphasize, not one, two or a few tries, but an embarrassingly many attempts. It was vastly harder than I anticipated. At some point - after my 3rd or 4th failure - I dejectedly poked my tripod into the water, angry with myself at being unable to do such a "simple” thing. So there I stood, knee-deep in water, immersed in a euphonious Siren call of delicately beautiful patterns I so wished to capture but which vanished the instant I approached them, when the absurdity of it all finally struck me like a Zen-master's cane! I doubled over with laughter, as multiple versions of Alan Watt's "the harder we try to catch hold of the moment..." aphorisms leapt to mind.

Adding to this genuinely Zen-like moment was the fact that two joggers just happened to be close enough to see and hear me. They both turned in unison to see what the source of the absurd laughter was. Without breaking stride or uttering a word, they just stared at what from their perspective must have seemed a "not quite all there and possibly drunk photographer" and ran off into the woods. I laughed for a few more moments, resolved to remember this little creek's Zen lesson, and resumed searching for interesting and evanescent patterns.

So, are my (still ongoing) "autumnal abstracts" a lesson in quantum mechanics? in Zen? or something else entirely? In the end, it's all just a matter of perspective 😊

Quantum Compositions

"Science no longer is in the position of observer of nature, but rather recognizes itself as part of the interplay between man and nature. The scientific method ... changes and transforms its object: the procedure can no longer keep its distance from the object ... Every experiment destroys some of the knowledge of the system which was obtained by previous experiments.

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Our scientific work in physics consists in asking questions about nature in the language that we possess and trying to get an answer from experiment by the means at our disposal. In this way quantum theory reminds us, as Bohr has put it, of the old wisdom that when searching for harmony in life one must never forget that in the drama of existence we are ourselves both players and spectators. It is understandable that in our scientific relation to nature our own activity becomes very important when we have to deal with parts of nature into which we can penetrate only by using the most elaborate tools.

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Since the measuring device has been constructed by the observer … we have to remember that what we observe is not nature itself but nature exposed to our method of questioning. Our scientific work in physics consists in asking questions about nature in the language that we possess and trying to get an answer from experiment by the means that are at our disposal."

- Werner Heisenberg (1901 - 1976)

Postscript. At the end of my last post, I promised to explain what my recent series of "autumnal abstracts" (which I started in mid September) has to do with quantum mechanics (yes, quantum mechanics). The simplest explanation (sure to induce a mild groan in readers) is that since my left-brain "day job" is anchored on my being a physicist, physics in general, and quantum mechanics in particular, is never far from my thoughts 😉 But no, that's not the full explanation. The real connection is part whimsy and part serious (the serious part is expertly summarized by one of the founding fathers of quantum mechanics, Heisenberg, above). As I explained in my previous post, I've recently been "rewarding" myself after long work days by driving to a local trail that runs along a shallow leaf-strewn creek, and spend however much time remains before the sun goes down searching for intimate compositions of leaves, rocks, and reflections within the water.

For my first few outings, I had no issues. I would park myself on the little bridge I need to cross to get to the trail from where I leave my car, set up a tripod, and use a telephoto zoom to isolate patterns of interest. Here is a taste of what I see from the bridge:

Of course, I didn't limit myself to just standing on the bridge. I prowled around the area surrounding the bridge, and explored different perspectives made accessible by positioning myself somewhere along the left and right banks of the creek. And, indeed, in this way, I usually walked away with at least few decent keepers. But I also noticed that the best compositions (at least in my mind's eye) were always just beyond my reach. I needed to get into the water! And that's where quantum mechanics comes in ...

The solution was simple enough. I put on a pair of knee-high waterproof boots, tucked in my pants, grabbed a waterproof (well, water resistant) tripod, and started composing "up close and personal" in the water; or so I thought. I immediately ran into an unexpected "quantum mechanics"-like problem: after seeing some pattern of interest (say, some combination of leaves, rocks and reflections), I would naturally walk over to get a better look and see where to best anchor my tripod. But no matter how slowly I approached, invariably, the ripples induced in the water by my boots would dislodge one or more of the key elements of whatever pattern caught my eye. By the time I got to the original composition, the pattern was either gone and/or replaced by another only less than half as good. This happened over and over again, no matter how slowly - ever, so slooooowly - I walked toward some entangled leaves. A text-book (albeit, whimsical) example of the well-known, but no less mysterious, quantum mechanical "observer effect." The analogy actually runs a bit deeper: while observer-induced perturbations also happen in "classical" physics, the difference is that quantum mechanics does not allow the observer to reconstruct what the "true state of the system" was after observing it; the act of observing the state irretrievably scrambles it. Just as, in my case, "seeing and moving toward a" pattern of leaves irretrievably destroys it. (BTW, at the risk of overloading most readers of a photography blog, it is worth mentioning that entanglement - a subtle nod to which appeared in the phrase "entangled leaves" - is another inherently quantum behavior that is best left for a future post) 😊

Replenishing My Soul

"The psyche, if you understand it as a phenomenon occurring in living bodies, is a quality of matter, just as our body consists of matter. We discover that this matter has another aspect, namely, a psychic aspect. It is simply the world seen from within. It is just as though you were seeing into another aspect of matter."

- C. G. Jung (1875-1961)
The Earth Has a Soul

Postscript. Some of you may have noticed that for the past month or so I have been posting "autumnal abstracts" consisting mostly of small, intimate compositions of leaves, rocks, reflections and gentle water flow. But while these rapid-fire posts may seem like I have had a "lot of time on my hands," the truth is actually the reverse. But therein lies an important (albeit "obvious") lesson for all creatives: when you objectively have "no time" for creative endeavors, force yourself to find a pocket of time, however small - it can be measured in minutes! - to nourish your soul. Of course, this is particularly hard to achieve after enduring a long string of "day job" hours; in my case, 10+ hours days consisting of working on endless equations and computer code, and dealing with recursively multiplying deadlines for deliverables). As the "day job" hours increase so does the need to to recharge; unfortunately, since fatigue also grows (in my case, exponentially) with "day job" effort, there is a point of no return wherein you'll find yourself too tired to carve out what (at this point, is now a critically vital) "pocket of time" to recharge. So what does one do? In my case, when I am able to work from home, I force myself to stop work about an hour before the sun sets, grab a camera and tripod, and drive a few miles to a local trail that runs along a small creek. I park my car at the end of a residential cul-de-sac and walk about 300 feet to a "little bridge" ... (iPhone panorama):

It is here around this little bridge and the shallow leaf-strewn creek that I let my soul breath for however many precious few minutes I have until the sun sets, while my eye happily searches for intimate compositions of leaves, rocks, reflections and gentle water flow! 15 to 20 minutes in this oasis is usually all I need (and, often, all I have) to forget about me equations and replenish my soul.

In my next post, I'll explain what these "autumnal abstracts" have to do with quantum mechanics, albeit from a more whimsical than physics perspective.

Nature is Painting

"The truths of nature are one eternal change, one infinite variety. There is no bush on the face of the globe exactly like another bush; there are no two trees in the forest whose boughs bend into the same network, nor two leaves on the same tree which could not be told one from the other, nor two waves in the sea exactly alike.

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Nature is painting for us, day after day, pictures of infinite beauty."

- John Ruskin (1819 – 1900)

Light of the Moment

"Life rises out of death, death rises out of life; in being opposite they yearn to each other, they give birth to each other and are forever reborn. And with them, all is reborn, the flower of the apple tree, the light of the stars. In life is death. In death is rebirth. What then is life without death? Life unchanging, everlasting, eternal? What is it but death-death without rebirth?

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There is neither source nor end, for all things are in the Center of Time. As all the stars may be reflected in a round raindrop falling in the night: so too do all the stars reflect the raindrop. There is neither darkness nor death, for all things are, in the Light of the Moment, and their end and their beginning are one.

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You are like a lantern swathed and covered,
hidden away in a dark place.
Yet the light shines;
they could not put out the light.
They could not hide you."

- Ursula K. Le Guin (1929 - 2018)