Showing posts with label Einstein. Show all posts
Showing posts with label Einstein. Show all posts

Saturday, December 07, 2024

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."

Saturday, May 18, 2024

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

Monday, December 11, 2023

Illimitable Spirit


"My religion consists of a humble
admiration of the illimitable superior
spirit who reveals himself in the
slight details we are able to perceive
with our frail and feeble mind."

Albert Einstein (1879 - 1955)

"Blessed be you, mighty matter,
irresistible march of evolution,
reality ever newborn; you who,
by constantly shattering our
mental categories, force us to go
ever further and further
in our pursuit of the truth."

Teilhard De Chardin (1881- 1955)

"What matters most:
What he had yearned to embrace
was not the flesh but a downy spirit, a spark,
the impalpable angel that inhabits the flesh.
Wind, Sand and Stars."

Richard Bach (1936 - )

Thursday, December 15, 2022

Limited Piece of the Whole


"A human being is a spatially and
temporally limited piece of the whole,
what we call the 'Universe.'
He experiences himself and his
feelings as separate from the rest,
an optical illusion of his consciousness.
The quest for liberation from this bondage
[or illusion] is the only object of true religion.
Not nurturing the illusion but only overcoming
it gives us the attainable measure of inner peace."

Albert Einstein (1879 - 1955)
Google's translation of Einstein’s original quotation 

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)

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)

Thursday, April 09, 2020

A Glimpse of Reality


"In short, [Einstein's General Theory of Relativity] describes a colorful and amazing world where universes explode, space collapses into bottomless holes, time sags and slows near a planet, and the unbounded extensions of interstellar space ripple and sway like the surface of the sea... And all of this...was not a tale told by an idiot in a fit of lunacy or a hallucination caused by Calabria's burning Mediterranean sun and its dazzling sea. It was reality. Or better, a glimpse of reality, a little less veiled than our blurred and banal everyday view of it. A reality that seems to be made of the same stuff that our dreams are made of, but that is nevertheless more real than our clouded, quotidian dreaming."

- Carlo Rovelli (1956 - )

Tuesday, April 07, 2020

Grasping the Universe


"Your question is the most difficult in the world. It is not a question I can answer simply with yes or no. I am not an Atheist. I do not know if I can define myself as a Pantheist. The problem involved is too vast for our limited minds. May I not reply with a parable? The human mind, no matter how highly trained, cannot grasp the universe. We are in the position of a little child, entering a huge library whose walls are covered to the ceiling with books in many different tongues. The child knows that someone must have written those books. It does not know who or how. It does not understand the languages in which they are written. The child notes a definite plan in the arrangement of the books, a mysterious order, which it does not comprehend, but only dimly suspects. That, it seems to me, is the attitude of the human mind, even the greatest and most cultured, toward God. We see a universe marvelously arranged, obeying certain laws, but we understand the laws only dimly. Our limited minds cannot grasp the mysterious force that sways the constellations. "

- Albert Einstein (1879 - 1955)

Saturday, February 29, 2020

Transcendence


"Historians who believe in the transcendence of science have portrayed scientists as living in a transcendent world of the intellect, superior to the transient, corruptible, mundane realities of the social world. Any scientist who claims to follow such exalted ideals is easily held up to ridicule as a pious fraud. We all know that scientists, like television evangelists and politicians, are not immune to the corrupting influences of power and money. Much of the history of science, like the history of religion, is a history of struggles driven by power and money. And yet this is not the whole story. Genuine saints occasionally play an important role, both in religion and in science. Einstein was an important figure in the history of science, and he was a firm believer in transcendence. For Einstein, science as a way of escape from mundane reality was no pretense. For many scientists less divinely gifted than Einstein, the chief reward for being a scientist is not the power and the money but the chance of catching a glimpse of the transcendent beauty of nature."

- Freeman Dyson (1923 - 2020)

Wednesday, February 19, 2020

Associative Play


"The words or the language, as they are written or spoken, do not seem to play any role in my mechanism of thought. The psychical entities which seem to serve as elements in thought are certain signs and more or less clear images which can be 'voluntarily' reproduced and combined.

There is, of course, a certain connection between those elements and relevant logical concepts. It is also clear that the desire to arrive finally at logically connected concepts is the emotional basis of this rather vague play with the above-mentioned elements. But taken from a psychological viewpoint, this combinatory play seems to be the essential feature in productive thought — before there is any connection with logical construction in words or other kinds of signs which can be communicated to others.

The above-mentioned elements are, in my case, of visual and some of muscular type. Conventional words or other signs have to be sought for laboriously only in a secondary stage, when the mentioned associative play is sufficiently established and can be reproduced at will."

- Albert Einstein (1879 - 1955)

Friday, December 28, 2018

Mysterious Order


"The human mind, no matter how highly trained, cannot grasp the universe. We are in the position of a little child, entering a huge library whose walls are covered to the ceiling with books in many different tongues. The child knows that someone must have written those books. It does not know who or how. It does not understand the languages in which they are written. The child notes a definite plan in the arrangement of the books, a mysterious order, which it does not comprehend, but only dimly suspects. That, it seems to me, is the attitude of the human mind, even the greatest and most cultured, toward God. We see a universe marvelously arranged, obeying certain laws, but we understand the laws only dimly. "

- Albert Einstein (1879 - 1955)

Saturday, September 22, 2018

Structure of Reality


"The important thing is not to stop questioning. Curiosity has its own reason for existence. One cannot help but be in awe when he contemplates the mysteries of eternity, of life, of the marvelous structure of reality. It is enough if one tries merely to comprehend a little of this mystery each day."

- Albert Einstein (1879 - 1955)

Monday, September 05, 2016

Structure of Reality


"The important thing is to not stop questioning. Curiosity has its own reason for existence. One cannot help but be in awe when he contemplates the mysteries of eternity, of life, of the marvelous structure of reality. It is enough if one tries merely to comprehend a little of this mystery each day."

- Albert Einstein (1879 - 1955)
 

Friday, April 29, 2016

Mechanism of Thought


"(A) The words or the language, as they are written or spoken, do not seem to play any role in my mechanism of thought. The psychical entities which seem to serve as elements in thought are certain signs and more or less clear images which can be “voluntarily” reproduced and combined.

There is, of course, a certain connection between those elements and relevant logical concepts. It is also clear that the desire to arrive finally at logically connected concepts is the emotional basis of this rather vague play with the above-mentioned elements. But taken from a psychological viewpoint, this combinatory play seems to be the essential feature in productive thought — before there is any connection with logical construction in words or other kinds of signs which can be communicated to others.

(B) The above-mentioned elements are, in my case, of visual and some of muscular type. Conventional words or other signs have to be sought for laboriously only in a secondary stage, when the mentioned associative play is sufficiently established and can be reproduced at will.

(C) According to what has been said, the play with the mentioned elements is aimed to be analogous to certain logical connections one is searching for.

(D) Visual and motor. In a stage when words intervene at all, they are, in my case, purely auditive, but they interfere only in a secondary stage, as already mentioned.

(E) It seems to me that what you call full consciousness is a limit case which can never be fully accomplished. This seems to me connected with the fact called the narrowness of consciousness (Enge des Bewusstseins)."

- Albert Einstein (1879 - 1955)

Wednesday, April 20, 2016

Experience of Mystery


"The most beautiful emotion we can experience is the mystical. It is the power of all true art and science. He to whom this emotion is a stranger, who can no longer wonder and stand rapt in awe, is as good as dead. To know that what is impenetrable to us really exists, manifesting itself as the highest wisdom and the most radiant beauty, which our dull faculties can comprehend only in their most primitive forms—this knowledge, this feeling, is at the center of true religiousness. In this sense, and in this sense only, I belong to the rank of devoutly religious men."

(1879 - 1955)

Friday, February 19, 2016

Limited in Time and Space


“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.” 

(1879 - 1955)

Sunday, September 28, 2014

Photography, Elemental Forms, Narrative, and Music


"If I were not a physicist, I would probably be a musician. I often think in music. I live my daydreams in music. I see my life in terms of music.... I get most joy in life out of music" - Albert Einstein

In my "Long belated return to blogging..." blog entry a few weeks ago, I alluded to finding a new reverie in the "music" of Kauai's tonal forms and rhythms - something I'm becoming more and more drawn to in general (far transcending what my "eye" saw during my family's trip to Kauai in July, and something I am becoming more and more sensitive to in my photography); but I did not, in that ealier entry, elaborate on what I meant by "music."

Historically, the connection between photography and music goes back at least as far as the oft-told story of how, in his youth, the great Ansel Adams needed a few years to choose between pursuing one or the other. Having obviously chosen photography, Ansel's passion for - and ability to make - music never waned throughout the remaining years of his life. Indeed, it both informed and inspired his art. Some of his best known aphorisms are couched in music-speak; e.g., "Photographers are in a sense composers," he once said, "and the negatives are their scores." The list of accomplished photographers who are also gifted in music (and vice versa) is long (Graham Nash, Ralph Gibson, Milt Hinton, Bryan Adams, and Kenny Rogers, to name just a few); perhaps as long as the one that includes mathematicians and scientists as well (e.g., Bruce Barnbaum, Larry Blackwood, Norman Koren, Charles Johnson, and - of course - one of the co-inventors of photography, William Henry Fox Talbot).

"Even though fixed in time, a photograph evokes as much feeling as that which comes from music or dance. Whatever the mode – from the snapshot to the decisive moment to multi-media montage – the intent and purpose of photography is to render in visual terms feelings and experiences that often elude the ability of words to describe. In any case, the eyes have it, and the imagination will always soar farther than was expected." - Ralph Gibson

But the sense in which I find myself applying "music" to photography nowadays has little to do with this simplest of associations; for I mean it quite literally: images perceived as music! Perhaps spurred by subconscious machinations about my multi-year experiments with "Synesthetic Landscapes,"  I am tending to hear the tonal and elemental forms and structures of images, as though my visual and aural circuits have crossed (which, not coincidentally, is the essence of synesthesia). But whereas my "Synesthetic Landscape" series is admittedly an artificial construct, deliberately crafted to evoke a sense of synesthesia in the viewer (and whose physical appearance actually owes nothing to synesthesia, per se, since it is an almost wholly "cognitive" experiment), inexplicably, my aesthetic "eye" is being drawn more and more to compositions that - synesthestically - evoke real music within me. I hear the images that my camera's viewfinder shows me, and the ones that I seem to keep and decide to print are those whose melodies I enjoy the most. My current favorite "reason" (that I give to those who ask) why a specific image, say, continues to adorn my office wall, when others - even those I have liked in the past - come and go with regularity, is that the keepers simply sing.  But what do I mean by this?

After some deliberation (and with the understanding that these thoughts are still closer to stream-of-conscious ruminations than coherent worldviews), I'd like to offer a hypothesis of why certain images just seem to "sing" - and others do not - and what this may have to say about the general aesthetic appreciation of images on a fundamental level (at least one that I have not previously encountered in academic discussions). I propose that the images with which we most strongly resonate - those that give the most aesthetic "pleasure" - are those whose innate harmonies are entwined on two levels: (1) spatial, in which an otherwise complex morass of visual details and textures may be distilled into a much simpler set of elemental forms and structures; and (2) temporal, in which the relationships among the elemental spatial forms are, in our mind's eyes and ears, experienced as a narrative that unfolds in time. It is when an image harbors an especially acute harmony in both its spatial and temporal dimensions that our gaze tends to linger just a bit longer; and to which we can only say, if asked, "Why do you keep looking at it?" that it simply sings.

"Music creates order out of chaos." - Yehudi Menuhin

The "image" at the top of this entry depicts a 10-frame "narrative" that includes the elemental forms I've deconstructed out of one of my favorite "Kauai music" images (that also appeared in my earlier post). Here is the spatial deconstruction itself:


Each frame of the "narrative" contains just the elemental forms that - at a given slice in time - draw most attention (for me; your narrative will, of course, be different). I first look at the dominant root at near center, as it swoops to the upper right of the composition (frame 1). My eye next goes over to the top left to take in the gentle rhythm of the leaves (frame 2), then moving downward to gaze at the smaller root and the decaying bamboo sheath to its right (frame 3); and so on. The narrative encodes my experience in time of the elemental forms that make up the otherwise static image. The spatial forms are not only pleasant to look at (at least, for me) because they evoke a "harmony of fixed structures" (i.e., the "parts" that make up the distillation at the far right in the triptych above), but also strongly evoke a music-like "harmony of dynamic structures" that are best appreciated as an aesthetic narrative that unfolds in an inner, experiential time. It is as though the innate harmony of inherent forms is so strong that it lifts the otherwise two dimensional image into a higher dimension; one that is best "seen" by having its innate melody heard, and as its elemental notes gently play out, and linger, in our mind's ears. Photographic aesthetics as an experiential union of space and time.

Tuesday, March 29, 2011

Joyful Meditations in a Subterranean Cosmos: Part II


“Three Rules of Work:
Out of clutter find simplicity;
From discord find harmony;
In the middle of difficulty
lies opportunity.”

As a follow-on to my previous entry on my recent day-long photo excursion to Luray Caverns in northern Virginia, I'd like to make a few remarks about the aesthetics of capturing the caverns in a photograph, and - ultimately - a fine-art print. The short version is that it is not easy!

There are several reasons for this: (1) light (as in "lack of control over"), (2) contrast (as in "there is too much of it"), and (3) innate dissonance (between everything and everything else that consists of light and form;-). As these are all interrelated, I'll discuss them as a group. Light, arguably the single most important component of any photographer's repertoire of "tools," is in this case unnatural (as it is due solely to the intensely locally bright orange tungsten lights), imposed (since it is installed and fixed in place by the park engineers), and fixed (because it is either on or off, never in any "in between" state or alternate projection angle). Thus, the photographer must deal with the lighting conditions as they are defined in situ; in particular, this means that there is no opportunity to "wait for the right light." One might argue, of course, that this is a general quandary all photographers find themselves in; we always "look for" shots, no matter the environment. But what renders this a particularly difficult compositional problem in a cavern is the second reason I've cited for why this task is difficult, namely contrast.

Luray Caverns' lights are bright; very bright; sometimes blindingly bright! And are often focused on relatively small patches of stalactites (dripstone formations that hang from the ceiling) and/or stalagmites (that build from the floor upwards). Again, while contrast is generally a good thing (certainly for black and white photography) and thus not necessarily a problem ("Well Andy, just find the blindingly brightly lit patches you happen to like!"), it can be a problem - certainly an aesthetic one - if what one is ultimately after is not finding the "best" composition that minimizes the impact of brightly lit patches, but one that best respects the totality of forms - including but not restricted to those both defined and hidden by lights and shadows. While visiting Santorini, Greece in 2008 with my wife, I also had to deal with strong contrasts, but at least there the contrasts were predictably variable. Since their strength and location changed throughout the day, I effectively had a degree of control over them; for example, I could decide when and where to set up my tripod (or just wait for the best conditions to arise). In Luray - and, I suspect, all other "public" caverns - there is simply too much fixed contrast to make this possible.

It was extremely difficult to find pleasing compositions of any forms larger than human-sized chunks simply because of the dizzying array of competing light sources. In those instances where I was able to find a pleasing composition of larger and more widely spaced elements (such as in the example that appears at the top of this blog entry, which is a panorama than spans about 100 ft from left to right), my post-processing in photoshop involved many more layers of local dodging and burning than is my norm. Mind you, this is not a complaint; it is merely an observation of one aspect of what makes photographing caverns difficult; difficult compositionally, and - even more so - tonally.

The last "problem" (both defined and exacerbated by the first two) is the caverns' innate dissonance. Nothing in the cavern is smooth, or smoothly varying. Not the light, not the forms, and not the textures. Indeed, the "forms" - such as they are - are best described as large to massive needles made of rock, arranged in staccato fashion throughout "rooms" that themselves range in size from smaller-than-cramped office cubicles to mini cathedrals. Far from a harmonious whole, the caverns are - at least at first sight - a visually loud cacophony of not-always-obviously correlated patterns. Everything is in contrast to - and in dissonance with - everything else in these caverns! There are certainly none of the smooth gradations of light and contour that one finds in the slot canyons of the southwest ;-) Yet, somehow, the photographer must craft a holistic harmony out of these ostensibly discordant compositional components.

So what to do? I chose (by deliberately going to the caverns) and now continue to choose (by spending even more time post-processing what I "saw" there) this experience as an opportunity to find ways of aesthetically balancing discordant parts. As Alan Watts reminds us, "...what is discord at one level of your being is harmony at another level." Yes, the forms are dissonant; yes, the lights are blindingly bright and often ill-positioned; yes, the tonal gradations all tend to yell and scream rather than sing in melodic verses; but my physics background (if not an even deeper intuition) insists that what appears, on the surface, as a confused tangle of a mess, is - at its heart - a wondrous harmony. Stay tuned...

Friday, February 04, 2011

Time, Space, and Mystery

“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)

“We know that behind every image revealed there is another image more faithful to reality, and in the back of that image there is another, and yet another behind the last one, and so on, up to the true image of that absolute, mysterious reality that no one will ever see.”
Michelangelo Antonioni
Film Director
(1912 - 2007)

Saturday, December 25, 2010

Matter, Science, and Spirit

“Everyone who is seriously involved in
the pursuit of science becomes
convinced that a spirit is manifest
in the laws of the Universe —
a spirit vastly superior to that of man,
and one in the face of which we,
with our modest powers,
must feel humble."

- Albert Einstein (1879 - 1955)
(from Max Jammer's Einstein and Religion,
Princeton University Press, 1999)