Showing posts with label photons. Show all posts
Showing posts with label photons. Show all posts

Saturday, November 15, 2025

Floating in the Einstein Universe

 

This post is the third chapter of the "Primer" saga, based on   "A primer on the (2 + 1) Einstein universe" - a paper is written by five mathematicians, T. Barbot, V. Charette, T. Drumm, M. Goldmann, K. Melnick, while they were visiting the Schrodinger Institute in Vienna and published in print in "Recent Developments in Pseudo-Riemannian Geometry", (ESI Lectures in Mathematics and Physics), Dmitri V. Alekseevsky and Helga Baum eds.,  EMS - Publishing House, Zürich 2008, pp. 179-229. You can download it from arxiv here. The first two chapters: "Perplexed by AI" and "A primer on the Universe" had no math. Now it is time to get serious and to learn how to swim in the Einstein Universe. We will start with learning how to float freely on our backs.

The main arena of "A primer" is the space denoted by Einn,1, and we will describe this space now. It is where "geometrical objects" under study live. Then we will start discussing these objects and relate them to the concepts that we have already met in my previous posts, in particular for n=1. What we have done in our sandbox here is a particular case of a universal machine that embeds space-time with n-dimensional space and one-dimensional time. Much of this machine works also with more general, m-dimensional "time", but the case of one-dimensional time is, in a sense, "special". So, here, I will stay with this special case. The paper has "2+1" in the title. This is even a more special case, but a large part of the paper deals with more general n+1 objects. In my recent series of posts we were playing the toy case of 1+1, but we have also given some attention to the 3+1 case relevant to "adult physics". Personally I think that all (n,m,r) cases are pertinent to physics (r is the number of zeros in the signature). But even that will be not enough. Quite probably we will find important uses for ternary, not just quadratic, forms, and complex instead of real structures and geometries. But here let us stay with the synthetic geometry as presented in the "primer". The notion in the paper is sometimes rather original, so we will need a translation between the notation there and the one I was using so far.

Minkowski space En,1

We start with the Minkowski space. It is denoted En,1. It is defined as an affine space whose underlying vector space is Rn,1 - the space Rn+1 endowed with the quadratic form

q(x) = (x1)2+....+(xn)2 - (xn+1)2.

The only difference between En,1and Rn,1 is that in  En,1 there is no distinguished "origin". Any point cab be selected as the origin, and then  En,1can be identified with  Rn,1.

Möbius extension Rn+1,2

The paper does not call it so, but that what it is. We start with Rn,1and add two extra dimensions, one with signature +, and one with signature -.  Thus our quadratic form, written as a scalar product, becomes:

(v,v) = (v1)2 + .... + (vn)2 - (vn+1)2 + (vn+2)2 - (vn+3)2.

The null cone 𝔑n+1,2.

The paper is using the symbol 𝔑n+1,2. We have been using just N:

𝔑n+1,2 = {v∈Rn+1,2: (v,v) = 0}.

The Einstein universe En,1 and Ȇn,1

These are the same that we have denoted PN and PN+ in the case of n=1 that we have discussed here. We take the null cone, remove the origin, and identify proportional vectors with proportionality constant λ being non-zero for En,1,  and λ>0 for Ȇn,1. The authors notice that Ȇn,1.is a double covering for En,1 ,  and that

Ȇn,1. ≈ Sn  × S1.

For n=1 we recover our torus S1  × S1.

The term "Einstein Universe", used by the authors, is not very fortunate. In Einstein Universe time is linear instead of circular. Yes, it is true, the authors consider also the universal covering space with E~n,1 ≈ Sn  × R1, but it is not the main subject of the paper. Secondly, the true Einstein Universe comes with a metric - a solution of Einstein field equations for empty space and with a cosmological constant. But En,1, carries no natural metric tensor, only a conformal structure. It is true, that we can always endow En,1 with a metric compatible with the conformal structure, but such choice depends on which point p we select as the "infinity point". So, let us keep these comments in mind while learning how to float.

The objects

Here is the list of important objects in this synthetic geometry of En,1:

  • Photons
  • Lightcones
  • The Minkowski patch

We start with "photons". 

The space of photons Phon,1

Here are is an illustration showing two "photons" in Ȇn,1 from our previous discussion in Perpendicular light:


These are two light rays forming the infinity p

 In En,1 these two light rays intersect in a different way, with just one common point.


For n>1 the infinity p. consists of a whole family of "photons", so a more general definition is needed. In the paper "photons" are defined as "projectivizations of totally isotropic $2$-planes. But there is another, equivalent, definition.  Namely En,1 is automatically endowed with a conformal structure. Therefore the concept of null geodesics is well defined in En,1. Photons are just null geodesics. We will return to this subject in the future. The space of photons is denoted Phon,1 in the paper.

Next come null cones.

Nullcones L(p)

Next come nullcones, which the authors write as one world.

To be continued....

Saturday, July 20, 2024

The Cosmic Comedy Continues

 

As Above, So Below


Ecclesiastes 1

“8 All things are wearisome, more than one can describe; the eye is not satisfied with seeing, nor the ear content with hearing."


Ah, the classic "grass is always greener" dilemma. Imagine if Netflix had been around back then—King Solomon would have been binging series after series, muttering, "Next episode, please," until his royal eyes were square!

9 What has been will be again, and what has been done will be done again; there is nothing new under the sun.


Déjà vu much? It’s like the ancient version of the Hollywood reboot craze. Think you've come up with a unique idea? Surprise! It was already a hit back in 300 B.C.

10 Is there a case where one can say, “Look, this is new”? It has already existed in the ages before us.

Picture a caveman inventing the wheel, only to have another caveman say, "Pfft, I did that last week, but with rocks!"

11 There is no remembrance of those who came before, and those yet to come will not be remembered by those who follow after.”

This, my friends, is why we need yearbooks and social media. Otherwise, how would we know who had the best toga in high school?


Quantum Shenanigans and the Never-Ending Quest for Newness

So, you’re diving into the quantum realm with Holger Lyre's "The Quantum Theory of Ur-Objects as a Theory of Information." Fancy stuff, but hold your horses! Here’s where things get juicy:

Enter stage left, [Cas75] L. Castell. He's like the Gandalf of quantum theory, saying, "You shall not pass... until you understand my Quantum Theory of Simple Alternatives."

Naturally, you do what any 21st-century scholar does: you Google it. And just like that, a digital angel descends from the cloud (thanks, WiFi!) and presents you with:

L. Castell, A new quantum number derived from conformal invariance, Nuclear Physics B, Volume 13, Issue 1, 1969, Pages 231-236, ISSN 0550-3213, https://doi.org/10.1016/0550-3213(69)90380-0

Lo and behold! Your doubly compactified Minkowski space—your pride and joy—turns out to be as fresh as a 50-year-old fruitcake. Yep, nothing new under the sun, not even in the quantum world.

The Cosmic Comedy Continues

The conformal group, the geometry of light, photons—they're everywhere, just like glitter after a craft project. In the grand theater of consciousness research, they're the spotlight operators, turning possibilities into facts. The cosmic joke is on us: the circle doesn’t just close—it’s been closed for eons.

So, the next time you stumble upon an "aha" moment, remember: somewhere, sometime, someone else had that same "aha." But hey, at least you’re in good company. And if all else fails, there's always the comfort of knowing that even the ancient sages felt the same weariness. Smile, you're part of a timeless tradition of discovery and rediscovery.

Friday, April 12, 2024

Why? The Purpose of the Universe - Part Seven

 


By Laura Knight-Jadczyk

In the previous post, we looked at Philip Goff’s take on “Cosmic Purpose Without God”.  He covered Non-Standard Designers, Teleological Laws, and left Cosmopsychism dangling. But we ended with a hint as to the direction he was going:

Teleological laws are the most parsimonious accounts of cosmic purpose.  They simply accept the brute existence of cosmic purpose without feeling the need to postulate any deeper explanation of it.  On the other hand, the deeper explanation of cosmic purpose provided by non-standard designer hypotheses is an attractive feature.  We arguably have a tie here, with one theory ahead in terms of parsimony, the other ahead in terms of explanatory depth.  The idea would be to find a way of securing the extra explanatory depth but with minimal cost in terms of postulating extra entities.

Fortunately, there is such a theory: rather than postulating a supernatural designer, we can instead ascribe mentality to the universe itself. 

And so, in the next chapter, we enter “A Conscious Universe”.  Goff warns us that this is a view that was once laughed at, is wildly controversial, and yet, nowadays, is being taken quite seriously. How did this happen?  The following is gleaned from Goff’s discussion.

Bertrand Russell, in the 1920s, was considering the fact that our most fundamental science, physics, is purely mathematical.  The math has changed and become more complex and abstract over time, but it’s still basically mainly equations that describe the mathematical structure of our reality.  This is apparently due to the fact that Galileo made the decision that ‘natural philosophy’ must take a purely mathematical form.

This isn’t of much use to a philosopher.  And so, quite a number of them, inspired by Bertrand Russell, are positing that consciousness is what underlies the mathematical structures of physics. 

The standard form of this view is that, at the fundamental level of reality, there are networks of very simple conscious entities that behave in simple, predictable ways and have rudimentary experiences. 

The idea is, then, that what we call mathematical structures are just descriptions of the interactions and patterns of these micro-entities and their rudimentary behaviors and experiences.  These patterns and structures are what we call ‘physics’.  The micro-entities reveal their consciousnesses in ‘mass’, ‘spin’, and ‘charge’. And so, the view of the Russellian panpsychists is that physics emerges from consciousness. And, if this view is the right one, what you are doing when you are doing physics is simply studying the behavior of very, very simple conscious entities.

And of course, here we see the basis of Goff’s “Pan-Agentialism” wherein matter is inherently disposed to respond rationally to reality.  Particles have ‘conscious inclinations’ even if their behaviour is imposed on them by Pilot Waves, according to Goff, thus casting doubt on the idea that matter is ‘inherently disposed’ to anything in its responses.

Goff reports that Sabine Hossenfelder doesn’t like this idea because the Standard Model of particle physics, (best model of the 25 kinds of fundamental particles), predicts behavior based on physical properties, i.e. mass, spin and charge.  If you add non-physical properties such as consciousness, then you lose control of your ability to predict behavior.  She declares that if particles were conscious, then their consciousness would show up on the behavior and physicists would easily be able to spot it.

Goff points out the Hossenfelder obviously does not understand the panpsychist hypothesis and she is interpreting panpsychism in dualistic terms, i.e. as if the particle has physical properties – mass, spin, and charge – and additional properties of consciousness.  She assumes that the micro-level consciousness proposed by the panpsychist exists at the level of the most basic mathematical structures.  The panpsychists, however, are actually concerned with the reality that underlies the mathematical structures. Goff’s view of the matter is:

… panpsychism offers the best solution to the mind-body problem, the philosophical challenge that arises from the fact that we access objective reality in two very different ways: perception and introspection.  In perception we access the physical world through our senses, something we’ve learnt to do more accurately and precisely through science.  Through introspection we access consciousness, via our immediate awareness of our feelings and experience. 

The problem is, of course, how to bring consciousness and the physical world together into a single unified theory of reality?  There are three main philosophical solutions to the problem:

1. Materialism:  The physical world is fundamental, and consciousness arises from physical processes in the brain.

2. Panpsychism: Consciousness is fundamental, and the physical world arises from more fundamental facts about consciousness.

3. Dualism: Both consciousness and the physical world are distinct but equally fundamental aspects of reality.  Contemporary ‘naturalistic’ dualists like David Chalmers postulate special ‘psycho-physical’ laws of nature to hook consciousness up to the physical world.

Goff notes:

In terms of materialism, nobody has ever made the slightest progress on its central explanatory task of explaining how we can get consciousness out of purely physical processes in the brain.  Moreover, I think there are good arguments that show that such a thing cannot be done in principle.

That is a useful point, but for me, the even bigger problem is actually the converse:  how can anyone possibly explain the existence of a single particle at all… a single grain of sand?  Where did the stuff of the Universe come from?  Especially considering the Standard Model of Physics and its ‘Big Bang’! If the physical world is fundamental, what made it?  Where did the ‘stuff’ come from and how?

Goff then states the most obvious thing of all:  “The mathematical structures of physics cannot produce consciousness, but consciousness can produce the mathematical structures of physics.”  That, right there, makes the materialists/physicalists shudder in horror! 

The Dualist option is problematical because it leads to positing two distinct entities when one should do (Ockham’s Razor) and, again, cannot explain the existence of matter in any coherent way.

In any event, Goff concludes (after a brief foray into neuroscience that need not detain us), that:

Our choice is between a philosophical explanation nobody’s ever managed to make sense of (materialism) and a philosophical explanation we know how to make sense of (panpsychism).  Once the options are correctly understood as philosophical – rather than scientific – rivals, there is, to my mind, an obvious winner.

Goff next brings in the ‘combination problem’, or the challenge of figuring out how many conscious particles come together to form a complex system which has its own unified consciousness. He considers that this problem is of concern only to those who advocate very reductive forms of panpsychism. Goff himself argues for a hybrid of reductive and non-reductive views; he distinguishes between conscious experiences and the ‘I’ that has the conscious experiences.  Goff’s “‘I’ is more than the sum of its parts, but its conscious experiences are ‘inherited’ from streams of consciousness at the level of fundamental physics.”

Are you confused by that?  I am.  Goff appears to want to have his cake and eat it too.  He doesn’t like materialism, and yet he continues to try to argue for a hybrid form of it.  He didn’t tell us anything about where his favored Pilot Waves come from, nor what foundation gives particles ‘agency’.  He appears to propose that a bunch of particles with this ‘agency’ jostle about guided by pilot waves and over vast expanses of time, eventually form consciousness with an ‘I’ somehow.  This consciousness then has the ability to make choices against what it wants itself and what it knows to have value; and all in the frame of Darwinian evolution. Because, of course, if there is a designer s/he is limited somehow to just getting the ball rolling.

Goff goes on to say:

Even if human consciousness ends up being utterly irreducible, it’s still better to be a panpsychist than a dualist.  Panpsychism earns its keep through its reduction of the physical world to consciousness.  If it can also reduce human consciousness to particle consciousness, whether partially or wholly, then that’s a bonus: the more we can reductively explain, the simpler our basic theory of reality.

That is to say, Goff’s Panpsychism pretty much says that the complex consciousness of a human (or animal) brain is built up out of, or emerges from, the consciousness of particles with agency guided by Pilot waves.  Goff says nothing about where the particles, the agency, or the pilot waves come from.

He notes that many theoretical physicists think that the fundamental building blocks of reality are not particles at all but rather universe-wide fields in which particles are simply local vibrations within those fields. That is, some fundamental form (or forms) of consciousness underlie these universe-wide fields and that a fundamental mind is the origin and bearer of those fields.  This hypothesis is known as Cosmopsychism.

Goff’s view of this hypothesis is that the consciousness of the universe is just some kind of huge meaningless mess.  “The kind of experiential understanding enjoyed by human beings is the result of millions of years of evolution, but the consciousness of the universe has not been shaped by the pressures of natural selection.” 

Again, Goff is trying to have his cake and eat it too.

Goff doesn’t think that a “meaningless mess” consciousness of the universe can explain the consciousness of beings nor the Fine Tuning of the universe.  So he tries to wrangle that problem that simply wouldn’t exist if he would make a different assumption. Goff presses on with his “meaningless mess” universal consciousness, proposing something like the ‘agency’ of particles in his pan-agentialism:

…replace the picture of a universe of messy meaningless experience, blundering from one moment to the next, with a view of the universe as something that recognizes and responds to considerations of value.  On the view we can call ‘teleological cosmopsychism', the universe is essentially driven to try to maximized the good. […]

Many philosophers postulate impersonal causal powers to explain the behavior of the universe.  But it’s equally consistent with observation to suppose that the universe’s drive to maximize value is running the show.

Or is it?  Doesn’t this lead straight back into the problem of evil?  If the universe is trying to maximize the good, how do we explain the terrible things that happen within it, at least on the planet we live on? Also, how do we think about the laws of physics on this picture?  If the universe is driven by a compulsion to maximize the good, shouldn’t there just be one law of physics, … ‘Do Your Best’?

We can kill both of these birds with one stone.  On teleological cosmopsychism, the laws of physics record the limitations of the universe.  Each moment, the universe is pushing to maximize the good, but under quite severe constraints as to what it is able to do.  As with the Limited Designer Hypothesis… it’s not that something outside of the universe is limiting the universe.  It’s just a primitive fact about the universe that it is able to do some things but not others.

Here I simply must comment.  Goff keeps talking about ‘good’ but he never discusses the fact that there can be many perspectives and what is ‘good’ to one perspective, is ‘evil’ to another.  He talks about morals, but what morals?  Whose morals?  What is moral in one culture, can be deeply immoral in another culture.  From the perspective of Goff’s beloved Darwinism, killing is a great moral good as long as it is the weak and stupid that are killed off and the strong and intelligent survive. The very thing that Goff most hates – suffering – about our reality, is in-built into the theory he is fighting so hard to conserve with his feats of philosophical legerdermain.


Getting toward the end of this discussion, Goff decides that the teleological cosmopsychist can propose that the universe fine-tuned itself. That is, teleological cosmopsychism is extremely parsimonious. Goff writes:

We know, or so I would argue, that there must be something underlying the mathematical structures identified by physics, otherwise our universe would contain no consciousness.  And we know there must be something that drives the predictable behavior of the universe.  It’s certainly possible that the fundamental level of reality is wholly impersonal and non-conscious.  But the alternative hypothesis of a universe responding to value under limitations recorded by the laws of physics is empirically indiscernible and no less parsimonious.

So Goff proposes that during the first split second of time, the universe fine-tuned itself because the universe must have been aware of future possibilities, and to account for this, we can attribute to the universe conscious awareness of the full consequences of each of the options available in that instant of time. And he then “cheekily” (his word) borrows the multiverse theory which he previously discarded, and which he now tries to slide in with a twist of Ockham’s razor; again, most confusing.

Goff next brings his pan-agentialism together with teleological cosmopsychism, and is quite satisfied with the results.  He writes:

If we stripped away the Bohmian mechanics, we could bring together pan-agentialism and cosmopsychism by identifying the universe with a universe-wide field, with the result that the universe will behave in a predictable way because the universe is conscious but lacks experiential understanding, and so inevitably acts through the basic rational response: do what you feel like doing.  But, contrary to the teleological form of cosmopsychism, this would not be a view on which the universe is maximizing the good; it’s just doing what it feels like doing.  […]

…we need to identify the cosmic fine-tuner with the wave function itself.  On the resulting view, the wave function is a conscious entity that is aware of the complete future consequences of the options available to it, and acts by choosing the best one.  During the Planck Epoch, the best option available to the wave function was to put itself in a state whereby the universe would become life-permitting.  The apparently mechanical behavior of the wave function thereafter reflects the limited options available to it. […]

On teleological cosmopsychism we start with rational matter, as particles and the wave function are themselves rationally responsive material entities.  The wave function then fine-tuned itself in order to allow mater to reach a greater realization of its rational nature. 

And there you have it, Glory Be!  Goff declares that the fit between fine-tuning and matter is not a coincidence! 



Goff has a twisty sort of brain.  I normally wouldn’t make the following discursus, but this problem is too big to just sweep under the rug.  The way Goff works through problems reminds me of a passage in Lobaczewski’s “Political Ponerology”:

Unconscious psychological processes outstrip conscious reasoning, both in time and in scope, which makes many psychological phenomena possible: including those generally described as conversive, such as subconscious blocking out of conclusions, the selection, and, also, substitution of seemingly uncomfortable premises.

We speak of blocking out conclusions if the inferential process was proper in principle and has almost arrived at a conclusion and final comprehension within the act of internal projection, but becomes stymied by a preceding directive from the subconscious, which considered it inexpedient or disturbing. This is primitive prevention of personality disintegration, which may seem advantageous; however, it also prevents all the advantages which could be derived from consciously elaborated conclusion and reintegration. A conclusion thus rejected remains in our subconscious and in a more unconscious way causes the next blocking and selection of this kind. This can be totally harmful, progressively enslaving a person to his own subconscious, and is often accompanied by a feeling of tension and bitterness.

We speak of selection of premises whenever the feedback goes deeper into the resulting reasoning and from its database thus deletes and represses into the subconscious just that piece of information which was responsible for arriving at the uncomfortable conclusion. Our subconscious then permits further logical reasoning, except that the outcome will be erroneous in direct proportion to the actual significance of the repressed data. An ever-greater number of such repressed information is collected in our subconscious memory. Finally, a kind of habit seems to take over: similar material is treated the same way even if reasoning would have reached an outcome quite advantageous to the person.

The most complex process of this type is substitution of premises thus eliminated by other data, ensuring an ostensibly more comfortable conclusion. Our associative ability rapidly elaborates a new item to replace the removed one, but it is one leading to a comfortable conclusion. This operation takes the most time, and it is unlikely to be exclusively subconscious.

That passage in PP reminds me of a passage in Barbara Oakley’s book “Evil Genes”:

A recent imaging study by psychologist Drew Westen and his colleagues at Emory University provides firm support for the existence of emotional reasoning. Just prior to the 2004 Bush-Kerry presidential elections, two groups of subjects were recruited - fifteen ardent Democrats and fifteen ardent Republicans. Each was presented with conflicting and seemingly damaging statements about their candidate, as well as about more neutral targets such as actor Tom Hanks (who, it appears, is a likable guy for people of all political persuasions). Unsurprisingly, when the participants were asked to draw a logical conclusion about a candidate from the other - "wrong" - political party, the participants found a way to arrive at a conclusion that made the candidate look bad, even though logic should have mitigated the particular circumstances and allowed them to reach a different conclusion. Here's where it gets interesting.

When this "emote control" began to occur, parts of the brain normally involved in reasoning were not activated. Instead, a constellation of activations occurred in the same areas of the brain where punishment, pain, and negative emotions are experienced (that is, in the left insula, lateral frontal cortex, and ventromedial prefrontal cortex). Once a way was found to ignore information that could not be rationally discounted, the neural punishment areas turned off, and the participant received a blast of activation in the circuits involving rewards - akin to the high an addict receives when getting his fix.

In essence, the participants were not about to let facts get in the way of their hot-button decision making and quick buzz of reward. "None of the circuits involved in conscious reasoning were particularly engaged," says Westen. "Essentially, it appears as if partisans twirl the cognitive kaleidoscope until they get the conclusions they want, and then they get massively reinforced for it, with the elimination of negative emotional states and activation of positive ones." {...}

Ultimately, Westen and his colleagues believe that "emotionally biased reasoning leads to the 'stamping in' or reinforcement of a defensive belief, associating the participant's 'revisionist' account of the data with positive emotion or relief and elimination of distress. 'The result is that partisan beliefs are calcified, and the person can learn very little from new data,'" Westen says. Westen's remarkable study showed that neural information processing related to what he terms "motivated reasoning" ... appears to be qualitatively different from reasoning when a person has no strong emotional stake in the conclusions to be reached.

The study is thus the first to describe the neural processes that underlie political judgment and decision making, as well as to describe processes involving emote control, psychological defense, confirmatory bias, and some forms of cognitive dissonance. The significance of these findings ranges beyond the study of politics: "Everyone from executives and judges to scientists and politicians may reason to emotionally biased judgments when they have a vested interest in how to interpret 'the facts,'" according to Westen.

My point is that Goff seems to be very attached to a materialist view of reality, while trying to argue for some form of consciousness that is above and beyond materialism.  Sort of like the “participation prize” that kids are given nowadays for just showing up and making half-hearted efforts.  He argues that the Universe has purpose and next, he is going to tell us how to “Live with Purpose” based on his twisted, bizarre reasoning. But, that’s the next post.

Thursday, January 25, 2024

Don't give up what you started

 Reading A. Yu. Savin"From the depths of the subconscious. Poems, thoughts, stories".


And there these thoughts: 

"- Don't give up what you started. It will still come back, but it will be much harder to fulfill it."

"You mustn't give in to doubts. If you have taken the first step, then go further. Otherwise, you'll be stuck in place all your life."

"Don't take anyone with you on a difficult journey. Cope with difficulties on your own. But share the joy with everyone very generously to avoid envy and ridicule." 

And so, I have finished the work on my paper. Submitted for publication. Probably Reviewers will demand changes... Here it is: arXiv:2401.14217

The explicit form of the unitary representation of the Poincaré group for vector-valued wave functions (massive and massless), with applications to photon's localization and position operators

And now it is time to make the next step. Go further

30-01-24 19:25


Spring is coming soon.... (credits. N.B.)

31-01-24 7:56
The Moon at 7:17 CET  this very morning
Of course the sky is blue
and the Moon is there
even when nobody looks.
Or is it so?

01.02-24 15:46

Reading:


The book reveals one of the most important unresolved issues of natural science — the question of the posthumous existence of man. An easily reproducible experimental method for solving this problem developed by the author is described and its algorithm is described. Information is provided on the phenomena of mediumship, on the use of which the methodology is based, as well as on the underlying phenomena of psychism. The classification of these phenomena is proposed. The information from previous and own studies of posthumous life is summarized, the conclusions that follow from the results obtained are given, and their significance is assessed.

In accordance with the information about the structure of space obtained during the study of the psychic plane of the universe, some basic provisions of modern science are being rethought, and the paradoxes unexplained by it (photometric, gravimetric, nonsense of quantum mechanics ...) and natural phenomena (causes of inertia and gravity, equality of inertial and gravitational masses, and a number of others) are being explained. The topics of future scientific, possibly dissertation research are outlined.

04-02-24 8:15


Nothing is more important!

05-02-24 11:35 Planes, trains and wormholes 

From "Contours of the universe": Ether consists of electric charges. And there are no photons! But no, there are!

And what is "charge?" Geometrodynamics is the answer? Perhaps. But one should not forget hidden dimensions! The boundary is boiling, non-smooth, sponge-like, fractal-like.


Chronogeometry-Geometrodynamics: please come back!

05-02-24 18:21  Working now on preparing a condensed version of "Explicit form..." mentioned in the note above. This time for a physics journal, therefore simplifying and/or avoiding  the math as much as possible.




There (p. 130):

"Enemies are often of more value than friends, inasmuch as they discover our faults and magnify them, hide or ignore our virtues, and by so doing show us clearly the need of improvement. Friends, on the contrary, magnify our virtues and ignore our faults."


Though we need both friends and enemies.

12-02-24 11:35 Finished reading 



Heartbreaking ghost stories. The message there:

Started reading  


There, in the section on Sinology:

... the mind of Heaven is deducible from what is the Will of mankind ! 

... For there are three well-known modes of repelling the attack of new thoughts : firstly, by ignoring them, secondly by denying them, and lastly by asserting that they are not new, but were known long before.

And the end:

... Truth will not change her nature to accommodate "the trade"; Serious philosophy has now really outgrown Universities, where Science stands under State-guardianship. It may however some day perhaps come to be counted among the occult sciences; while the spurious kind, that ancilla theologice in Universities, that inferior counterfeit of Scholasticism, for which the highest criterion of philosophical truth lies in the country catechism, will make our Lecture-halls doubly re-echo. "You, that way : we, this way".

Nowadays it applies to Wikipedia as well. 

13:53 Have finished! Back to photons. And to the contours of the physics of densities by Zaporozhets.

13-02-24 10:32

https://twitter.com/aagiiah/status/1756907626556957005

Natural Intelligence!

!3-02-24 18:20 While ago i received referee  reports of my paper on photons. Two are positive, requiring some revisions and explanations, one is negative, stating flatly that the subject of the paper is not new and not interesting. I have seven days to provide a revised version. It requires a lot of work.

15-02-24 10:07


15-02-24 10:21 

15-02-24 10:38 Steve Patterson - food for thoughts:

No, Chairs Do Not Exist

Coming Around to Platonism

 

16-02-24 18:10 Working on revisions of the photon paper. One reviewer asked me to provide the proof of Proposition 2. Working on it, and it it so complicated, and I first have to understand my proof in all details!  But when I read the Acknowledgements part in  Peter Lamont's "The First Psychic"


"...When it was all done, I sent the manuscript to my editor, Tim Whiting, who told me to do it all again, but this time to make it interesting. It then went to Steve Guise, who told me to do it one more time,  but this time without the errors."

- when I read that. I feel all bettert not being alone in my misery!

19-02-24 19:24 Have found previously unnoticed errors in my paper. Decided to rewrite it completely getting rid of the cotangent bundle and staying all the time with the tangent bundle. That means major rewriting. Have no idea how long it will take. Perhaps a month. Psi have to wait. All is lessons!

21-02-24 18:02 Finished reading "D.D. Home. His Life. His Mission" by Madame Dunglas Home 

"Again, truly I tell you, that if two of you agree on earth concerning anything that they will ask..."
Matthew 18:19
26.02.24 10:32 You can't explain Psi without taking into account the Hyperdimensional Matrix System




5.3.24 9:54

"In truth, whatever is worth doing at all, is worth doing well; and nothing can be done well without attention."


5.3.24 18:08 

Friday, October 27, 2023

Photon's eversion

 Our daughter Amy suggested to me a book to read, "Eversion" by Alstair Reynolds

From the master of the space opera comes a dark, mind-bending adventure spread across time and space, where Doctor Silas Coade is tasked with keeping his crew safe as they adventure across the galaxy in search of a mysterious artifact.


‘In mathematical framing, the definition is rather more rigorous,’ Dupin said. ‘But you have the crude sense of it. As a matter of fact, the problem is of interest to me. Consider the question of sphere eversion in a three-dimensional space—’ (...)

 ‘You can’t see it, but it’s possible. It’s a sphere, you see?’ He pinched the paper between two extremities, making it balloon out like a soggy attempt at a paper lantern. ‘It’s a sphere. I think it was always a sphere, and then something went wrong. That’s the topology.’

I looked to the land speeding by us on either side of Demeter. ‘Topography?’

‘No. Topology. Surfaces and volumes. Transformations. Homotopic transformations. Can you see it, doctor?’"

Inversion, Inversion, Eversion Inside out. Conformal transformation. Maxwell equations are conformally invariant. Previous post was about Krishna and photons. I had to redo almost everything, calculate everything from scratch. Here is the result


P.S.1. 28-10-23 17:57 Replaced with a new version. Added Remark 1.4 and the beginning of Sec. 2.

P.S.2. 29-10-23 8:32 This is what my friends and my girls got me for my birthday two days ago: Nobel Prize, socks  and a handy hammer, also a set of (neo)-Platonic (crystal) solids (plus many other goodies not shown ...)



P.S.3. 29-1027 10:33

One of my favorite quotes.

We must regard the present state of the universe as the effect of its past and the cause of its future. Consider an intelligence which, at any instant, could have a knowledge of all forces controlling nature together with the momentary conditions of all the entities of which nature consists. If this intelligence were powerful enough to submit all this data to analysis it would be able to embrace in a single formula the movements of the largest bodies in the universe and those of the lightest atoms; for it, nothing would be uncertain; the future and the past would be equally present to its eyes. ~ Pierre Laplace

Now we need only to make it compatible with chaotic behavior of some  nonlinear systems, and adjust our understanding of synchronicity and quantum phenomena accordingly.

P.S.4/ 30-10-23 12:39 Good news. Essential progress with the paper I am working on. Yesterday night I was still thinking that the only way to get the result that I have envisaged was by using a brute force. But today I realized that, with the right insight, it will cost almost no work at all, and that it can be done in a full generality that I didn't even dream about before!😁😁😁

P.S.5. 30-10-23 13:01 And here is another B-Day gift that I received from my dear friend Pierre Lescaudron.


The Periodic Table of Elements. Pierre passed away on October 19, so the fact that I have received this beautiful gift a week after is an  additional reason to ponder about the mysteries of love, densities and of time.  

P.S.6. 31-10-23 11:18 (Suggested to me by Laura)


P.S.7. 31-10-23 11:44 Signs conventions (from Misner, Wheeler, Thorne "Gravitation")


P.S.8. 31-10-23 13:39 Updated the file. Added beginning of Sec. 2.2 "Action of pure boosts"..

P.S.9. 01-11-23 9:39 The prototype of  the Time Machine based on the Properties of Light and Time Eversion.


P.S.10. 02-11-23 13:39 Completed the proof of Lemma 2.1. Added Acknowledgements at the end. Now it is time for calculating the limit (70). With the handy Lemma it should be now a piece of cake.

P.S.11. 02-11-23 16:22 There is still a possibility (subjectively 50% probability) that the Lemma is false, its proof has errors, and that there is no limit as in Eq. (70). If this reasoning can be fixed - I will find a way to fix it. So more work is needed. I have no idea now how long will it take. That is what I will be working on now.


P.S.12. 02-11-23 18:40 Removed the part containing Lemma 2.1 and its proof. It leads nowhere, even if it is correct. Totally useless work. Discovered one more way how NOT to make the light bulb. Leaning from errors.

P.S.13 05-11-23 12:37 The Dirac Sea



I wrote in a reply top a comment by Natus Videre:  "And what is space?" Perhaps it is the Dirac sea of some kind?

Quoting from the paper by a mathematician  J. Dimock "The Dirac Sea":

" Dirac’s resolution of the problem was to to assume the particles were fermions, invoke the Pauli exclusion principle, and hypothesize that the negative energy states were present but they were all filled. The resulting sea of particles (the Dirac sea) would be stable and homogeneous and its presence would not ordinarily be detected. However it would be possible to have some holes in the sea which would behave as if they had positive energy and opposite charge. These would be identified with anti-particles. If a positive energy particle fell into the sea and filled the hole (with an accompanying the emission of photons), it would look as though the particle and anti-particle annihilated. The resulting picture is known as hole theory. 
(...)
The basic idea is that if an n-fermion state is modeled by an n-fold wedge product of Hilbert spaces, then the Dirac sea should be descibed as an infinite wedge product of Hilbert spaces."


P.S.14. 06-11-23 11:49
P.S.15. 08-11-23 8:29 Dreaming about the Ripples on the Dirac Sea



"Geoff Landis has just completed a postdoctoral fellowship at NASA’s Lewis Research Center in Cleveland. He writes science fiction grounded in the hard sciences, but his first story, “Elemental,” a Hugo nominee for best novella of 1984, dealt with magical matters in a scientific context and appeared in Analog. Later work has been published in Isaac Asimov’s Science Fiction Magazine, Pulphouse, and Amazing Stories.

About his award-winning short story, Geoff writes, ” ‘Ripples in the Dirac Sea’ was an experimental story for me. Quite a number of disparate threads wove into the final narrative. One important thread was my feeling that a story involving time travel should have a nonlinear narrative to reflect the discontinuous way the characters experience time.

“I also wanted to see if it was possible to write a story in which real physics is presented. Very little of modern SF goes beyond the early quantum mechanics of Heisenberg and Schrodinger, work which is admittedly remarkable and beautiful, but by no means the end of the story. Here I tried to invoke some of the strangeness and beauty— I might even say sense of wonder—of the physics of Paul Adrien Maurice Dirac. In ‘Ripples’ I decided to explore the inconsistency between Dirac’s relativistic quantum mechanics and the mathematics of infinity developed by Cantor and others (as far as I can tell, a quite real inconsistency). The Dirac sea is also real, not an invention of mine— despite the very science-fictional feel of an infinitely dense sea of negative energy that surrounds and permeates us."


But I'm telling you: The infinite dense sea of 
Bose-Einstein condensate of light
is even more intriguing!

P.S.16. 09-11-23 8:17 
P.S.17. 09-11-23 10:53 My negative mass/energy space propulsion project:


P.S.18 09-11-23 17:28 Changed notation. Replaced omega with E (for energy). Fixed Proposition 2.1. Added its Proof. Now it is time to verify and to find and correct possible errors.

P.S.19. 10-11-23 7:49 Something is still wrong. The matrix is indeed orthogonal, but it does not do what I am expected it to do. Back to the drawing desk. Chase the error. The devil must be hiding in some tiny detail. Errare humanum est. But WHY? (Bjab?) Why some people make more errors than other?????? Errare humanum est, perseverare diabolicum. I know. But one thing is to know, and completely different thing is creatively apply this knowledge to fix one's errors for good!

P.S.20 16-11-23 7:50 Finished Sections 2.1 and 2.2. Added plots of vector fields.



 Animation of the combed sphere  came not the way I intended.... Can cause a headache!



But I do not have time now for playing with animations of rotations. Now calculating the torsion tensor of the induced teleparallel connection. Deadline for finishing the paper: December 30.
The vector fields e1 and e2, are mutually orthogonal and, in x-space satisfy the equations
div e1 =div e2 = 0. But they should be thought of as Hertz potentials, and not as electric and magnetic fields.

P.S.21 19-11-23 10:41 Houston, we have a problem.

P.S.21 200-11-23 10:52

P.S.22 20-11-23 11:54
"... His truth is marching on. ..."

P.S.23 21-11-23 13:13 Laura is telling me that it is not Elvis, who died in 1977, singing this song which was written by Leonard Cohen in the 80s. And no, it is not time travel either. It is Ron Jesse who is singing the song.


P.S.24 21-11-23 18:19 In stereographic projection coordinates the teleparallel affine connection and torsion come out beautifully! Somewhat different than those in the  papers by Staruszkiewicz
, but so much simpler, prettier and more elegant! Tomorrow will update the file. Haleluja!

P.S.25 23-11-23 12:12 Reading "The Late Summer Passion of a Woman of Mind" by Rebecca Goldstein:

"... Eva had come to the conclusion that there is something seriously amiss with her book.
(...)
Time, Eva now thought. It was time that contained the ambiguity. She had not come to terms with the concept of temporality in her book. She had not shown, had not even taken up the question, of how the systems of Plato and Spinoza, which presented reality as eternal and changeless, held by tenseless logic in the stasis of necessity, could accommodate even the notion of passing time. How is it that our sense of the flow of time, which so dominates our experience of thi world, can arise? To say that it is ultimately an illusion does not solve the problem. How can there be room for even this deception, in such systems as these?"


P.S.26 23-11-23 19:23 Added Sec 2.3.1. Stereographic projection 



and 2.3.2 The connection coefficients. Added references to Staruszkiewicz's two papers. Updated the file.

P.S.27 25-11-23 17:15 Taking break for studying recent papers on the same or related subjects. Learning and thinking. Thinking and learning. Meditating. Brainstorming.

P.S.28 26-11-23 11:11 Laura's find on X:


Unable (temporarily) to answer another important question: "What is time?", I consider related question: What is (timeless) photon? And how it relates to the leptonic magnetic monopole of Georges Lochak? Clifford algebras are there.

P.S.28 26-11-23 11:36 Human consciousness is a local debugging unit with the ability to read the wave. It has also very limited wave writing capability. Most of these units are faulty. But that is how Nature works - creating abundances of everything (except for magnetic monopoles which seem to be very rare a specie).



P.S.29  26-11-23 12:47 Coincidence? After writing the previous P.S. I went home to get a lamp (I need more photons!) and found Laura in the laundry room reading this: 


She did not read the previous P.S. But she must have read my mind Or I read her mind. Or simply colinearity - reading the same wave at the approximately the same time.


P.S.30 26-11-23 18:14 Added three new highly relevant references to the paper in progress. In the next couple of days will add new stuff with my comments about these references.

P.S.31 27-11-23. From "Single Photon Manipulation". IntechOpen 2020, p. 15

"During the last decades, an impressive technological development has been achieved permitting the manipulation of single photons with a high degree of statistical accuracy. However, despite the significant experimental advances, we still do not have a clear physical picture of a single photon state universally accepted by the scientific community, especially involved in quantum electrodynamics. "

P.S.32 27-11-23 15:08 And so, from today on,  I become a member of the Editorial Board of the MDPI journal "Mathematics", section Mathematical Physics.  Perhaps because I feel as being more a mathematician than a physicist... I respect and adore physics, but my true love is (applied) mathematics.

P.S.33 01-12-23 10:30

While reading Daniel Kastler, "Introduction à l'électrodynamique quantique", Dunod (Orléans, Impr. nouvelle), 1960, In "Avant propos":

"...Indépendamment de son utilite, l'unité des sciences physico-mathématiques nous semble être buts de l'humanisme scientifique."


P.S.34 02-12-23 12:07


 P.S.35 02-12-23 12:27

Oppenheimer

P.S.36 02-12-23 18:26 Reading Christine Li, "5-minute self-discipline Exercises", p. 137

"List five things that you are thankful for:"

P.S.37 03-12-23 10:06 Reading Philip Goff, "Why? The Purpose of the Universe"



"(...) Philosophy for me isn’t just an abstract exercise but something I live out. During my ethical subjectivist teenage years, I kissed my best friend John’s girlfriend, telling him to his face that it was okay because ‘good’ and ‘bad’ depend on how you feel and it didn’t feel bad. For his part, John decided on a creative response. With the help of a few friends, he kidnapped me, tied me up, and bleached my hair bright white. Even in the absence of moral objectivity, there are ways of stopping people doing shitty things. (...)"

Ibid:

"My favourite interpretation of quantum mechanics is the most boring and unsexy of all of them: the pilot wave interpretation." 

I criticized it in my Quantum Fractals (perhaps partly because I was jealous?) . But now, when I read that it is "boring and unsexy" - perhaps will change my views, reconsider. It happens once in a while that what we at some point of time dislike and even hate, later on becomes our favorite!

11:37: I still think that it can be happily merged with EEQT. It will then become more sexy and less boring (discrete events!), but without losing its attractive features. Or, better, add the pilot-wave feature to EEQT! Should be doable! In EEQT between jumps the classical system follows the classical mechanics. But it may as well be governed by the pilot-wave guided evolution. Except that  it will be now dissipative.

 P.S.38 05-11-23 19:39 While reading "Non-Commutative Geometry and Measurements of Polarized Two Photon Coincidence Counts" by 7 authors (two of them I have met in the past)

There are anti-photons!


Bjab should be happy!


P.S.39  06-12-23 18:36 Philip Goff is is overusing the Ockham razor principle. As Laura has noticed, when we were discussing the subject,: if Nature would use the Ockham razor, we would not be here discussing the question "Why?". 

P.S.40 10-12-23 Failure! Defeat! I am depressed. Tried to read the paper

"Action of the conformal group on steady state solutions to Maxwell's equations and background radiation" 

by Bertram Kostant, Nolan Wallach

After five or six pages the mathematics there became completely unknown to me. And I know that it is a very important paper - necessary for understanding consciousness. But in the paper we find category theory, exact sequences,  algebraic topology,  harmonic analysis - and lot of other things that I have rough idea about, but not working knowledge. Disaster. It will take me a month or more to learn, to fill out the holes in my mathematical education. They say:


Perhaps. Should I feel inspired by my failure? I should and I am.

P.S.40 15-12-23 19:42 Finally finished preparing my complete list of publications with links to all published papers. Here it is. It has a title line in Russian, because it was prepared for Math-Net.Ru.

Biolocation

  On Tuesday, December 23, Vlad Zhigalov (see e.g. here ) had a talk at the " Temporology " seminar hosted at Omsk.  He spoke abo...