Continua of Time, Space, and the Self

"'Pure experience' is the name which I gave to the immediate flux of life which furnishes the material to our later reflection with its conceptual categories. Only new-born babes, or men in semi-coma from sleep, drugs, illnesses, or blows, may be assumed to have an experience pure in the literal sense of a that which is not yet any definite what, tho ready to be all sorts of whats; full both of oneness and of manyness, but in respects that don't appear; changing throughout, yet so confusedly that its phases interpenetrate and no points, either of distinction or of identity, can be caught. Pure experience in this state is but another name for feeling or sensation. But the flux of it no sooner comes than it tends to fill itself with emphases, and these salient parts become identified and fixed and abstracted; so that experience now flows as if shot through with adjectives and nouns and prepositions and conjunctions. Its purity is only a relative term, meaning the proportional amount of unverbalized sensation which it still embodies.

Far back as we go, the flux, both as a whole and in its parts, is that of things conjunct and separated. The great continua of time, space, and the self envelop everything, betwixt them, and flow together without interfering. The things that they envelop come as separate in some ways and as continuous in others. Some sensations coalesce with some ideas, and others are irreconcilable. Qualities compenetrate one space, or exclude each other from it. They cling together persistently in groups that move as units, or else they separate. Their changes are abrupt or discontinuous; and their kinds resemble or differ; and, as they do so, they fall into either even or irregular series."

- William James (1842 - 1910)
A Pluralistic Universe

Provisional Forms

"The world consists of colors, sounds, temperatures, pressures, spaces, times, and so forth, which now we shall not call sensations, nor phenomena, because in either term an arbitrary, one-sided theory is embodied, but simply elements. The fixing of the flux of these elements, whether mediately or immediately, is the real object of physical research. As long as, neglecting our own body, we employ ourselves with the interdependence of those groups of elements which, including men and animals, make up foreign bodies, we are physicists. For example, we investigate the change of the red color of a body as produced by a change of illumination. But the moment we consider the special influence on the red of the elements constituting our body, outlined by the well-known perspective with head invisible, we are at work in the domain of physiological psychology. We close our eyes, and the red together with the whole visible world disappears. There exists, thus, in the perspective field of every sense a portion which exercises on all the rest a different and more powerful influence than the rest upon one another. With this, however, all is said. In the light of this remark, we call all elements, in so far as we regard them as dependent on this special part (our body), sensations. That the world is our sensation, in this sense, cannot be questioned. But to make a system of conduct out of this provisional conception, and to abide its slaves, is as unnecessary for us as would be a similar course for a mathematician who, in varying a series of variables of a function which were previously assumed to be constant, or in interchanging the independent variables, finds his method to be the source of some very surprising ideas for him.

...

... we certainly shall wonder how colors and tones which were such innermost parts of us could suddenly get lost in our physical world of atoms; how we could be suddenly surprised that something which outside us simply clicked and beat, in our heads should make light and music; and how we could ask whether matter can feel, that is to say, whether a mental symbol for a group of sensations can feel?"

- Ernst Mach (1838 - 1916)
Popular Scientific Lectures

Omni Inter-Accommodation

"In short, physics has discovered
That there are no solids.
No continuous surfaces.
No straight lines;
Only waves.
No things.
Only energy event complexes.
Only behaviors.
Only verbs.
Only relationships,
Which, once discovered,
Can be kept track of
and employed
By both the integral brain
And the extracorporeal computer
But may never be discovered originally
By those physically limited tools.

And the why-for and how-come

Of omni-interaccommodation

Of all the known family

Of weightless, eternal, generalized principles —

Thus far discovered

By scientific observation

To be metaphysically governing

In elegant mathematical order

All Scenario Universe’s

Interrelationships, transformations and transactions,

Without one principle contradicting another —

Are all and together

Absolute mystery."

- R. Buckminster Fuller (1895 - 1983)
Intuition

I Am an Atom in the Universe

"At this moment I have knowledge of,
in the living reality, that I am an atom in the universe
that has access to infinite possibilities of development.
These possibilities I want, gradually, to reveal.
...
Those granted the gift of seeing more deeply
can see beyond form, and concentrate on the
wondrous aspect hiding behind every form,
which is called life.
...
The more we discover the wonders of nature,
the more we become aware of ourselves."

- Hilma af Klint (1862 - 1944)

Heart Divine

"The willing into being the primordial particle, has completed the act, or more properly the conception, of Creation. We now proceed to the ultimate purpose for which we are to suppose the Particle created - that is to say, the ultimate purpose so far as our considerations yet enable us to see it - the constitution of the Universe from it, the Particle.

This constitution has been effected by forcing the originally and therefore normally One into the abnormal condition of Many. An action of this character implies reaction. A diffusion from Unity, under the conditions, involves[31] a tendency to return into Unity - a tendency ineradicable until satisfied. But on these points I will speak more fully hereafter.

...

But are we here to pause? Not so. On the Universal agglomeration and dissolution, we can readily conceive that a new and perhaps totally different series of conditions may ensue - another creation and irradiation, returning into itself - another action and reaction of the Divine Will.

Guiding our imaginations by that omniprevalent law of laws, the law of periodicity, are we not, indeed, more than justified in entertaining a belief - let us say, rather, in indulging a hope - that the processes we have here ventured to contemplate will be renewed forever, and forever, and forever; a novel Universe swelling into existence, and then subsiding into nothingness, at every throb of the Heart Divine?

And now - this Heart Divine -
what is it? It is our own."

- Edgar Allan Poe (1809 - 1849)

Eureka: A Prose Poem

Unity in Multiplicity

"If we want to know what the mathematicians mean by a continuum, it is useless to appeal to geometry. The geometer is always seeking, more or less, to represent to himself the figures he is studying, but his representations are only instruments to him; he uses space in his geometry just as he uses chalk; and further, too much importance must not be attached to accidents which are often nothing more than the whiteness of the chalk. [...] The continuum thus conceived is no longer a collection of individuals arranged in a certain order, infinite in number, it is true, but external the one to the other. This is not the ordinary conception in which it is supposed that between the elements of the continuum exists an intimate connection making of it one whole, in which the point has no existence previous to the line, but the line does exist previous to the point. Multiplicity alone subsists, unity has disappeared—‘the continuum is unity in multiplicity,’ according to the celebrated formula. [...] Mathematicians do not study objects, but the relations between objects; to them it is a matter of indifference if these objects are replaced by others, provided that the relations do not change. Matter does not engage their attention, they are interested by form alone."

- Henri Poincare (1854 - 1912)

Shadow Physics

"The external world of physics has thus become a world of shadows. In removing our illusions we have removed the substance, for indeed we have seen that substance is one of the greatest of our illusions. Later perhaps we may inquire whether in our zeal to cut out all that is unreal we may not have used the knife too ruthlessly. Perhaps, indeed, reality is a child which cannot survive without its nurse illusion.

But if so, that is of little concern to the scientist, who has good and sufficient reasons for pursuing his investigations in the world of shadows and is content to leave to the philosopher the determination of its exact status in regard to reality. In the world of physics we watch a shadowgraph performance of the drama of familiar life. The shadow of my elbow rests on the shadow table as the shadow ink flows over the shadow paper. It is all symbolic, and as a symbol the physicist leaves it.

Then comes the alchemist Mind who transmutes the symbols. The sparsely spread nuclei of electric force become a tangible solid; their restless agitation becomes the warmth of summer; the octave of aethereal vibrations becomes a gorgeous rainbow."

- Arthur Stanley Eddington (1882 - 1944)
The Nature of the Physical World

Woven Becoming

"When we seek definitely to express the relations of events which arise from their spatio-temporal structure, we approximate to simplicity by progressively diminishing the extent (both temporal and spatial) of the events considered. For example, the event which is the life of the chunk of nature which is the Needle during one minute has to the life of nature within a passing barge during the same minute a very complex spatio-temporal relation. But suppose we progressively diminish the time considered to a second, to a hundredth of a second, to a thousandth of a second, and so on. As we pass along such a series we approximate to an ideal simplicity of structural relations of the pairs of events successively considered, which ideal we call the spatial relations of the Needle to the barge at some instant. Even these relations are too complicated for us, and we consider smaller and smaller bits of the Needle and of the barge. Thus we finally reach the ideal of an event so restricted in its extension as to be without extension in space or extension in time. Such an event is a mere spatial point-flash of instantaneous duration. I call such an ideal event an ‘event-particle.’ You must not think of the world as ultimately built up of event-particles. That is to put the cart before the horse. The world we know is a continuous stream of occurrence which we can discriminate into finite events forming by their overlappings and containings of each other and  separations a spatio-temporal structure. We can express the properties of this structure in terms of the ideal limits to routes of approximation, which I have termed event-particles. Accordingly event-particles are abstractions in their relations to the more concrete events. But then by this time you will have comprehended that you cannot analyze concrete nature without abstracting. Also I repeat, the abstractions of science are entities which are truly in nature, though they have no meaning in isolation from nature."

- Alfred North Whitehead (1861 - 1947)
The Concept of Nature

Cosmic Reverence

"Science is not only compatible with spirituality; it is a profound source of spirituality. When we recognize our place in an immensity of light years and in the passage of ages, when we grasp the intricacy, beauty and subtlety of life, then that soaring feeling, that sense of elation and humility combined, is surely spiritual. So are our emotions in the presence of great art or music or literature, or of acts of exemplary selfless courage such as those of Mohandas Gandhi or Martin Luther King Jr. The notion that science and spirituality are somehow mutually exclusive does a disservice to both."

- Carl Sagan (1934 - 1996)
The Demon-Haunted World: Science as a Candle in the Dark

Postscript. This image was captured in Galicia, Spain last week during the slightly-over-one-minute in duration total solar eclipse. While my family and I witnessed a much longer (>3.5 min) eclipse in Baxter State Park (in Maine) in 2024, this one was special since it took place during a pilgrimage of sorts to where my wife's father's side of the family has been living for centuries. For those of you not lucky enough to experience a total eclipse in person, the image above hardly does justice to feeling the magic of the sun suddenly disappearing to nothingness while still suspended in the sky. The physicist in me was as slack-jawed at the spectacle as my spiritual side was awed by the living cosmos

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 - )

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 - )

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)

Illusory Categories

"The further we penetrate into the submicroscopic world, the more we shall realize how the modern physicist, like the Eastern mystic, has come to see the world as a system of inseparable, interacting and ever‑moving components with man being an integral part of this system.

...

Quantum theory thus reveals a basic oneness of the universe. It shows that we cannot decompose the world into independently existing smallest units. As we penetrate into matter, nature does not show us any isolated ‘basic building blocks,’ but rather appears as a complicated web of relations between the various parts of the whole. These relations always include the observer in an essential way.

...

Our tendency to divide the perceived world into individual and separate things and to experience ourselves as isolated egos in this world is seen as an illusion which comes from our measuring and categorizing mentality. [...] all things and events perceived by the senses are interrelated, connected, and are but different aspects or manifestations of the same ultimate reality."

- Fritjof Capra (1939 - )
The Tao of Physics

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

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

Plural Monism

"Monism allows for no such things as 'other occasions' in reality—in real or absolute reality, that is. The difference I try to describe amounts, you see, to nothing more than the difference between what I formerly called the each−form and the all−form of reality. Pluralism lets things really exist in the each−form or distributively. Monism thinks that the all−form or collective−unit form is the only form that is rational. The all−form allows of no taking up and dropping of connexions, for in the all the parts are essentially and eternally co−implicated. In the each−form, on the contrary, a thing may be connected by intermediary things, with a thing with which it has no immediate or essential connexion. It is thus at all times in many possible connexions which are not necessarily actualized at the moment.

...

Here, then, you have the plain alternative, and the full mystery of the difference between pluralism and monism, as clearly as I can set it forth on this occasion. It packs up into a nutshell:—Is the manyness in oneness that indubitably characterizes the world we inhabit, a property only of the absolute whole of things, so that you must postulate that one−enormous−whole indivisibly as the prius of there being any many at all—in other words, start with the rationalistic block−universe, entire, unmitigated, and complete?—or can the finite elements have their own aboriginal forms of manyness in oneness, and where they have no immediate oneness still be continued into one another by intermediary terms—each one of these terms being one with its next neighbors, and yet the total 'oneness' never getting absolutely complete?

...

Whatever I may say, each of you will be sure to take pluralism or leave it, just as your own sense of rationality moves and inclines. The only thing I emphatically insist upon is that it is a fully co−ordinate hypothesis with monism. This world may, in the last resort, be a block−universe; but on the other hand it may be a universe only strung−along, not rounded in and closed. Reality may exist distributively just as it sensibly seems to, after all. On that possibility I do insist."

- William James (1842 - 1910)
A Pluralistic Universe

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

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

Repetition of Sensations

"Everything which we observe in nature imprints itself uncomprehended and unanalyzed in our percepts and ideas which then, in their turn, mimic the processes of nature in their most general and most striking features.

...

It is a well-known fact that some objects please us, while others do not. Generally speaking, anything that is constructed according to fixed and logically followed rules, is a product of tolerable beauty. We see thus nature herself, who always acts according to fixed rules, constantly producing such pretty things.

...

A rule always presupposes a repetition. Repetitions, therefore, will probably be found to play some important part in the production of agreeable effects. Of course, the nature of agreeable effects is not exhausted by this. Furthermore, the repetition of a physical event becomes the source of agreeable effects only when it is connected with a repetition of sensations."

- Ernst Mach (1838 - 1916)
Popular Scientific Lectures

Nature's Tapestry

"Nature uses only the longest threads to weave her patterns,
so that each small piece of her fabric reveals
the organization of the entire tapestry."

- Richard Feynman (1918 - 1988)
The Character of Physical Law

Postscript/For readers of my blog who have an interest in physics. I will use this image as a backdrop to segue my way to linking to a truly remarkable history of physics that has recently been made fully open access under a Creative Commons license through the OAPEN Library and Taylor & Francis: Károly Simonyi's A Cultural History of Physics; Amazon and Google have Kindle and eBook versions available, respectively. Before getting to the book itself, what made me think of using this image (which I captured earlier today while on a walk in a local park)? For me, the leaf is a microcosm of nature's fabric, in which the whole is encoded in every part, as Feynman describes. Simonyi's book is essentially an attempt to unweave the tapestry of physics from its individual threads strewn across history. 

I first came across (and eagerly purchased) a hard copy of this book when it was published in the United States in 2012; it is still available for purchase for about $174 in USD. IMHO (as a Ph.D. physicist) this is by far the best single-volume technical and cultural history of physics, emphasizing the interplay between physics and the humanities, but also never shying away from the irreducibly technical nature of the material. It is a rare fortune to have free access to such a treasure! I urge any and all of my readers with even a passing interest in physics to download a copy to savor, read, and study. 

The book includes technical passages, quotations, biographical information, and color plates to enrich the reader's experience. It originated from Simonyi's lecture series, which he began after political circumstances in Hungary forced him out of his academic career. ​Over decades, he revised and expanded the work, which was published in multiple Hungarian and German editions.

Additional note about Simonyi's book. I resonate on a personal level with the story behind how this book came to be (before it was originally published), as described in the book's forward and preface. Much like my mom and I spent the better part of a decade putting together the biography of my dad, the artist (as I've discussed elsewhere on my blog), it was through the efforts of Károly's son, Charles Simonyi (who is also a luminary: Charles led the development of Microsoft's first application software, including early versions of Microsoft Office) that A Cultural History of Physics was published outside of Hungary; indeed, it was Károly Simonyi's long-held dream that this would eventually happen. After his dad passed away in 2001, Charles collaborated with A K Peters (now part of CRC Press) to oversee the translation and publication process. He ensured the English edition was carefully compared to the original Hungarian text to restore its conversational tone and authenticity, provided additional material and support for the project and to the publishers, translators, editors, and family members who contributed to the book's release in the United States. ​