Nature's Elegance

"But nature is always more subtle,
more intricate, more
elegant than what
we are able to
imagine."

- Carl Sagan (1934 - 1996)
The Demon-Haunted World

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

Collective Field

"Intelligence ... is not something to be tested, but something to be recognized, in all the multiple forms that it takes. The task is to figure out how to become aware of it, to associate with it, to make it manifest. This process is itself one of entanglement, of opening ourselves to forms of communication and interaction with the totality of the more-than-human world, much deeper and more extensive than those which can be performed in the artificial constraints of the laboratory. It involves changing ourselves, and our own attitudes and behaviors, rather than altering the conditions of our non-human communicants.

...

Each thing organizes the space around it, rebuffing or sidling up against other things; each thing calls, gestures, beckons to other beings or battles them for our attention; things expose themselves to the sun or retreat among the shadows, shouting with their loud colors or whispering with their seeds; rocks snag lichen spores from the air and shelter spiders under their flanks; clouds converse with the fathomless blue and metamorphose into one another; they spill rain upon the land, which gathers in rivulets and carves out canyons.

...

The 'real world' in which we find ourselves, then—the very world our sciences strive to fathom—is not a sheer 'object,' not a fixed and finished 'datum' from which all subjects and subjective qualities could be pared away, but is rather an intertwined matrix of sensations and perceptions, a collective field of experience lived through from many different angles. The mutual inscription of others in my experience, and (as I must assume) of myself in their experiences, effects the interweaving of our individual phenomenal fields into a single, ever-shifting fabric, a single phenomenal world or 'reality.'"

- David Abram (1957 - )
The Spell of the Sensuous

Little Universe

 

“We cannot fathom the marvelous complexity of an organic being; but on the hypothesis here advanced this complexity is much increased. Each living creature must be looked at as a microcosm - a little universe, formed of a host of self-propagating organisms, inconceivably minute and as numerous as the stars in heaven.”

- Charles Darwin (1809 - 1882)

"The Universe is nothing but an infinite and complex mechanism. Its complexity is so great that it borders on willfulness, suddenness, and randomness; it gives the illusion of free will possessed by conscious beings."

-  Konstantin E. Tsiolkovsky (1857 - 1935)

“The teeming hordes of living things on Earth, not only in space but in time, are actually all one massive, single organism just as certainly as each one of us (in our own minds) seems to be a distinct human being throughout our limited lifetime… Each of us is, equally, an independent living human and also just one utterly minute, utterly brief unit of a single vast body that is life on Earth. From this point of view, the passing of human generations, in peace or turmoil, is nothing more than the shedding of cells from one’s skin.”

- Neil Theise
Notes on Complexity

Tennyson's Flower

"Tennyson said that if we could understand a single flower we would know who we are and what the world is. Perhaps he meant that there is no deed, however so humble, which does not implicate universal history and the infinite concatenation of causes and effects. Perhaps he meant that the visible world is implicit, in its entirety, in each manifestation, just as, in the same way, will, according to Schopenhauer, is implicit, in its entirety, in each individual."

- Jorge Luis Borges (1899 - 1986)

Perceived Geometries #2

"Euclid alone has looked on Beauty bare.

Let all who prate of Beauty hold their peace,

And lay them prone upon the earth and cease

To ponder on themselves, the while they stare

At nothing, intricately drawn nowhere

In shapes of shifting lineage; let geese

Gabble and hiss, but heroes seek release

From dusty bondage into luminous air.

O blinding hour, O holy, terrible day,

When first the shaft into his vision shone

Of light anatomized! Euclid alone

Has looked on Beauty bare. Fortunate they

Who, though once only and then but far away,

Have heard her massive sandal set on stone."

- Edna St. Vincent Millay (1892 - 1950)

Perceived Geometries #1

"It is well known that geometry presupposes not only the concept of space but also the first fundamental notions for constructions in space as given in advance. It only gives nominal definitions for them, while the essential means of determining them appear in the form of axioms. The relationship of these presumptions is left in the dark; one sees neither whether and in how far their connection is necessary, nor a priori whether it is possible. From Euclid to Legendre, to name the most renowned of modern writers on geometry, this darkness has been lifted neither by the mathematicians nor the philosophers who have labored upon it."

- Bernhard Riemann (1826 - 1866)

"The division of the perceived universe
into parts and wholes is convenient
and may be necessary,
but no necessity determines
how it shall be done.""

- Gregory Bateson (1904 - 1980)

Divisible Space

"We are not to consider the world as the body of God, or the several parts thereof as the parts of God. He is a uniform Being, void of organs, members or parts,...being everywhere present to the things themselves. And since space is divisible in infinitum, and matter is not necessarily in all places, it may also be allowed that God is able to create particles of matter of several sizes and figures, and in several proportions of space, and perhaps of different densities and forces, and thereby to vary the laws of Nature, and make worlds of several sorts in several parts of the Universe. At least I see nothing of contradiction in this."

- Isaac Newton (1643 - 1727)

Note. The triptych contains "quick grabs" (using my iPhone) of the skylights near Gate 4 of the Bangor, Maine airport while waiting for our plane to return back home (to Northern VA) after viewing the total eclipse on April 8. While I did not take any images of the eclipse (I just wanted to just "be in the moment"), the little black spheres in the skylight reminded me a little of that experience and caught my eye 😊 

Capturing Surrealities - #2

"Far away there in the sunshine
are my highest aspirations.
I may not reach them, but I can 
look up and see their beauty,
believe in them, and try
to follow where they lead."

- Louisa May Alcott (1832 - 1888 )

This is a second batch of "surrealities," captured using my iPhone during a recent trip to Niagara, CA. Each is an example of the myriad photographic possibilities that almost always present themselves merely by looking up (or down) 😊... The "truth" revealed: the left and right images are lights on the ceiling of two restaurants we ate at, while the center image is the ceiling just outside the second floor entrance to the Table Rock Market, which overlooks the Canadian side of the falls.

Icelandic Geometry

"To say that space is just physical
or geometrical is the same thing
as saying that the human being simple.
And both statements are false.
...
The imaginary is not formed in
opposition to the real, it is
not opposed to common sense,
it is not situated on another plane,
it is situated simultaneously on
all the planes of the real.

The real is always in movement,
it is always changing, always
becoming different-from itself.

Man is separated from the great
whole only because he consists of the
same substance as the whole,
which guarantees the union, a
substance which is doubtless more
substantial for being more rare."

- Gaston Bachelard (1884 - 1962)

de Chirico's Dreams

"To become truly immortal,
a work of art must escape all human limits:
logic and common sense will only interfere.
But once these barriers are broken,
it will enter the realms of
childhood visions and dreams.

...

There are more puzzles in the
shadow of a man walking under
the sun than in all past,
present, and future religions."

- Giorgio de Chirico (1888 - 1978)

Note. This was a "quick grab" I took with my iPhone a few months ago when my wife and I were wandering around underground at the Smithsonian in Washington, D.C.; specifically, the S. Dillon Ripley Center, the entrance to which is easy to miss (at least for folks that don't live near D.C.), since it's topside view is remarkably unobtrusive and does not present itself as "anything special." After you enter the domed structure and go down a few levels, you may be amazed to find a massive space that contains conference centers, art studios, offices, and galleries. (The only reason I know of its existence is that I was invited to give a presentation in one of underground spaces about 20 years ago.) The football-field-sized room on the bottom level also provides an underground pathway to both the African Art Museum and the Sackler Gallery of the National Museum of Asian Art. The iPhone picture shows a part of the south side of the central staircase/elevator column that we took to descend (and looking up from where the escalator ends on the lower level). The geometry and lighting reminded me of de Chirico's works. The picture can also serve as a reminder to photographers (young/old, beginner/seasoned,...) that interesting images can be discovered literally everywhere.

Daliesque Dreams

 "One day it will have to
be officially admitted that
what we have christened reality
is an even greater illusion
than the world of dreams."

- Salvador Dali (1904 -1989)

To See Takes Time

"I made you take time to look at what I saw and when you took time to really notice my flower you hung all your associations with flowers on my flower and you write about my flower as if I think and see what you think and see--and I don't.

...

You paint from your subject, not what you see…I rarely paint anything I don’t know very well. It was surprising to me to see how many people separate the objective from the abstract. Objective painting is not good painting unless it is good in the abstract sense. A hill or tree cannot make a good painting just because it is a hill or a tree. It is lines and colors put together so that they say something. For me that is the very basis of painting. The abstraction is often the most definite form for the intangible thing in myself that I can only clarify in paint.

...

To see takes time, like to have a friend takes time."

-  Georgia O'Keeffe (1887 - 1986)

Enfolded Energy Fields

 "In all ages even among scientific men,
there can be discerned the urge to
apprehend the living form as such,
to grasp the connections of
their external visible parts; to
take them as intimations of inner
activity, and so to master, to some
degree, the whole in an intuition."

- Johann Wolfgang von Goethe (1749 - 1832)

Postscript. This image is of the garden peony that adorns the ground beneath our mail-box; more precisely, and paraphrasing Minor White, I should say that the image is what else the garden peony is. What you are "really" looking at is a digital-negative (i.e., wherein the white-to-black tonalities are reversed) of a zoomed-in portion of what started out being 1:1 macro shot of the folds-within-folds of petals inside a single peony flower. The distance from left to right is no more than about two inches. In my physicist's mind's eye, I see an undulating play of interpenetrating enfolded forms of some mysterious energy field; the same impression I get when gazing at Bruce Barnbaum's mesmerizing slit canyon abstracts. Images such as this also remind us that magical otherworldly realms are always near us, just waiting for our eye to discover.

A Garage, Brazil, and a Stieglitzian "Equivalent"

"Harry Tuttle: Harry Tuttle. Heating engineer. At your service.
Sam Lowry: Tuttle? Are you from Central Services? I called Central Services.
Harry Tuttle: Ha!
Sam Lowry: But... I called Central Services.
Harry Tuttle: They're a little overworked these days. Luckily I intercepted your call...Officially, only Central Service operatives are supposed to touch this stuff...
Sam Lowry: Sorry. Wouldn't it be easier just to work for Central Services?
Harry Tuttle: Couldn't stand the paperwork. Yes, there's more bits of paper in Central Services than bits of pipe read this, fill in that, hand in the other listen, this old system of yours could be on fire and I couldn't even turn on the kitchen tap without filling in a 27B/6...Bloody paperwork.
Sam Lowry: I suppose one has to expect a certain amount.
Harry Tuttle: Why? I came into this game for the action, the excitement. Go anywhere, travel light, get in, get out, wherever there's trouble, a man alone. Now they got the whole country sectioned off, you can't make a move without a form...Ah ha! Found it! There's your problem.
Sam Lowry: Can you fix it?
Harry Tuttle: No, I can't. But I can bypass it with one of these.
[Holds up a bizarre device]
Harry Tuttle: My good friends call me Harry."

- Brazil (1985),
 Screenplay by Terry Gilliam, Tom Stoppard & Charles McKeown

Postscript. I have written before about the mystery of what "sits behind" (and directs) the eye/I/camera to see and take a photograph; and about the equally mysterious joy of just going with the flow of it all. Why do some scenes/compositions attract our attention while we walk past others as if sleepwalking through a void? While it is easy to overthink (even obsess) about seeing, interpreting, and composing - which only disrupts the natural flow - indulging in an occasional self-reflection can also reveal a part of the creative process. In my case, I've always had a penchant for making split-second associations with something either imagined or recalled). What I don't know is whether my inner musings are synchronous-with, antecedent-of, or follow my photographer-self's gaze? I've no doubt experienced each of these variants countless times, but the question of what really happens remains a deep mystery to me. But I have also grown to savor this mystery whenever it presents itself, as it did this weekend, when my wife and I parked our car in a garage before going to see a play in Washington, DC. As I closed my door, and for whatever reason, the vista of pipes, lights, and soiled concrete that met my gaze conjured up a scene from the absurdist Monty-Pythonesque-movie "Brazil" wherein Robert De Niro (playing a character named "Harry Tuttle," who is part heating engineer and part special forces operative) breaks into the Sam Lowry's apartment (Sam is the "hero," played by Jonathan Pryce), and rips apart a section of Sam's wall to expose a bizarre mass of writhing, all-but-living, pipes and electrical conduits! So, there I stood transfixed beside our car, my mind a blank (with a silly grin on my face), mentally replaying what I could remember from this scene from Brazil. The image you see up above is my attempt at using my iPhone to record a Stieglitzian "equivalent" of what I was experiencing while gazing at the vista of pipes, lights, and soiled concrete in a Washington, DC garage 😊

Form, Space, and Light

"Architecture is the very mirror of life.

You only have to cast your eyes on
buildings to feel the presence
 of the past, the spirit of a place;
they are the reflection of society.
...
The essence of architecture is form and
space, and light is the essential element
to the key to architectural design,
probably more important than anything.
Technology and materials are secondary."

- I. M. Pei (1917 - 2019)

Effulgent Forms

"That inner Self, as the primeval Spirit, Eternal, ever effulgent, full and infinite Bliss, Single, indivisible, whole and living, Shines in everyone as the witnessing awareness. That self in its splendor, shining in the cavity of the heart This self is neither born nor dies, Neither grows nor decays, Nor does it suffer any change. When a pot is broken, the space within it is not, And similarly, when the body dies the Self in it remains eternal."

- Ramana Maharshi (1879 - 1950)

Between Grief and Geometry

"Geometry is a way to organize our models of the world, its shapes and dynamics. But isn’t this all contingent, balanced on a knife’s edge? Could our models have turned out very differently? If the fractal geometry of Mandelbrot had been discovered before the geometry of Euclid, would manufacture be the same? If you think the question is far-fetched, consider the iterated branching of our pulmonary, circulatory, and nervous systems, or the recursive folding of our DNA, or the large surface area and small volume of our lungs and our digestive tract. Evolution has discovered and uses fractal geometry. If people had looked more closely at the geometry of nature, rather than emulating the 'celestial perfection' imposed by the church’s interpretation of the works of Euclid and Aristotle, our constructions could be very different now.

...

Beauty is a bridge between grief and geometry.

...

Beauty and grief are next-door neighbors, or maybe grief is beauty in a dark mirror… To see beauty is to glimpse something deeper; to grieve is to glimpse a loss whose consequences we will not unpack for years, and maybe never. The beauty of geometry likewise involves great emotional weight, irreversibly alters our perceptions, and is transcendent. For we don’t see all of geometry, only a hint, a shadow of something much deeper."

- Michael Frame (1951 - )
Geometry of Grief

Serendipitous Geometry

"The artist is a collector of things imaginary or real. He accumulates things with the same enthusiasm that a little boy stuffs his pockets. The scrap heap and the museum are embraced with equal curiosity. He takes snapshots, makes notes and records impressions on tablecloths or newspapers, on backs of envelopes or matchbooks. Why one thing and not another is part of the mystery, but he is omnivorous."

- Paul Rand (1914 - 1996)
Paul Rand: A Designer's Art

Postscript. It has been said that the lifeblood of photography is serendipity. While none of the images that make up the triptych above are particularly praiseworthy (beyond, I hope, simply being "interesting" to look at for a a few seconds), the fact that they exist at all is serendipitous. As seems to happen so often, what I planned to photograph and what I found myself photographing this past Sunday are unrelated except that the latter followed naturally - if unpredictably - from the former. Waking up to see a completely overcast sky I rushed to the kitchen to pour a bit of coffee into my commuter cup and took off in my car to go to one of my favorite "cloudy day" parks (Great Falls park in northern VA), about an hour from home. The closer I got to the park, the more "blue sky" was elbowing the clouds away, until, finally, literally as I arrived, the sky had become crystal clear and a strong sun was beating down overhead; far from the quiet diffused light I expected and was rushing over to compose in. Nothing to do but turn around and head back home. Which is what I did, but not before listening to my muse and stopping by the parking lot my wife and I leave our car at when we go to the farmer's market held nearby on Saturdays. Since it was Sunday, the parking lot was deserted, and I had plenty of time to commiserate over a failed trip to Great Falls, rekindle the quiet joy of just being "mindfully in the moment," and rediscover the simple pleasure of looking for "geometric designs" with my camera. As I said, nothing spectacular or noteworthy, and a far cry from what I originally planned to do, but a thoroughly delightful outing nonetheless 😊

Light, Shadow, and Geometry

"The phenomenon which I have now briefly mentioned appears to me to partake of the character of the marvelous, almost as much as any fact which physical investigation has yet brought to our knowledge. The most transitory of things, a shadow, the proverbial emblem of all that is fleeting and momentary, may be fettered by the spells of our "natural magic," and may be fixed for ever in the position which it seemed only destined for a single instant to occupy.

This remarkable phenomenon, of whatever value it may turn out in its application to the arts, will at least be accepted as a new proof of the value of the inductive methods of modern science, which by noticing the occurrence of unusual circumstances (which accident perhaps first manifests in some small degree), and by following them up with experiments, and varying the conditions of these until the true law of nature which they express is apprehended, conducts us at length to consequences altogether unexpected, remote from usual experience, and contrary to almost universal belief. Such is the fact, that we may receive on paper the fleeting shadow, arrest it there, and in the space of a single minute fix it there so firmly as to be no more capable of change, even if thrown back into the sunbeam from which it derived its origin."

- Henry Fox Talbot (1800 - 1877)
Some Account of the Art of Photogenic Drawing