Returning to Old Notes
Every so often, I dive back into my notes from years gone by. It’s a way to ensure I haven’t strayed too far from the path I once set for myself. Although only a handful of people seem interested in these private reflections, a handful is not the same as no one at all. Occasionally, a message from a curious mind lands in my inbox, reminding me that these thoughts resonate beyond my own head.
Yesterday, I felt compelled to revisit an entry from October 1993. Below are a few snippets from those musings, still as relevant to me now as they were then.
October 1993: The World of Information
“The beginning of the world and the Big Bang. Should I believe this? Should you? Where is the flaw in the narrative? What’s missing, misunderstood, or understated?
Here’s my take (borrowing from Popper): beyond the world of matter and the realm of geometry, there exists a world of information. We don’t fully understand this world yet, but we sense it—just the tip of an iceberg. New, bold ideas are needed, new mathematical structures to chart this realm. Today, we are only scratching the surface.
This third world—the world of information—must integrate with the other two. It’s not some distant future; this new paradigm is already here, hanging in the air like a ghost. And this is where I must focus: full steam ahead toward information, toward algorithms, toward the structure tree. This has become the content of my life, my calling.
Who knows what I’ll discover along the way? Searching for information, I might stumble upon something even greater. But nothing is more important than this pursuit. Information is life. Information is complexity."
On Tactics and Purpose
“But strategy is not enough. Tactics matter, too. I embraced the audacity of youth. Be bold. Be rowdy. Life demands action, constant action. And with that, comes the realization: I must shed responsibilities that don’t serve this purpose. I am a researcher, not a teacher. A scholar, not an administrator. And certainly not a director. My task is not to manage or organize but to build knowledge, to create something unknown that will one day be known. That is my holy calling. So help me, God.”
April 1994: The Anthropic Principle and Life’s Questions
A year later, in April 1994, I was grappling with the anthropic principle:
"Does a theory make sense when it leaves such a narrow window for the emergence of life? Can something as organized as life arise from chaos? The anthropic principle provides no real answers. It's no explanation to say that the universe must be the way it is because otherwise, we wouldn’t exist to observe it.
Where did the laws of nature come from? Why these laws and not others? The argument that ‘it couldn't be any other way’ falls flat. What is explanation anyway?
And what is chance?"
A Personal Shift: Technology and Self-Reflection
"On a more mundane note, I received a grant. It was just enough to buy a notebook. Will life be easier with a notebook? A little. But is that enough to change everything? Hardly."
Navigating Blindness: The Search for Free Will
The challenge looms: how can the blind lead the blind? How do we reach a generator of free will without the freedom to reach it? Mechanically, I can only detect what is mechanical, and even that requires tremendous effort. Yet here I stand, the best possible laboratory at my disposal: myself. I am both the experimenter and the most sensitive instrument.
My goal has become clear. I must produce a device—a mind—that won’t need external forces to guide it. But is that what I want? I want to take stock of everything I know and push further. I want to gather the fragments of my understanding and draw meaningful conclusions.
Years ago, I didn’t know what I was searching for as a physicist. I was drawn to the idea of additional dimensions, but for reasons that remain unclear, I got sidetracked. I lost more than a year in uncertainty until I encountered the works of Sheldrake, Popper, Eccles, and Jeans. Slowly, the fog lifted, and my mission crystallized: to discover a third factor that exists beyond matter and geometry.
This third factor is information—knowledge. My purpose now is to bridge the gap between modern physics and this new reservoir of understanding. The challenge lies in finding a safe path forward, one that doesn’t fall into the murky waters of philosophy. It’s clear to me now that quantum theory is the key.
Today: The Premonition Endures
Here I am, years later, still chasing that same premonition I had in the '90s. Consciousness, I believe, cannot change the facts themselves, but it can influence their probabilities. How? That’s where the devil hides—in the details. And that’s what I’m still working on.
The journey continues.
This mix of self-reflection, science, and philosophy still defines my work today. The questions I grappled with decades ago remain as crucial and unsolved as ever, but the pursuit is what drives me forward—full steam ahead.
P.S. 29-09-24 11:42 This is a partial answer to Igor Bayak asking in his comment what do I mean by "information"? Reading an autobiography of Stefan Osswiecki:
"Stefan Ossowiecki (1877-1944), a businessman by profession, was also a psychic whose clairvoyant abilities made him famous in his native Poland. He became known internationally as a result of numerous successful experiments with Polish, French and British psychical researchers."
"Today's knowledge, based on intellectualism and experimentation, has been profaned as it has become available to both heroes and criminals alike. Not everything should be shared with everyone. Modern man has forgotten the warning of the greatest Sage: “Do not cast your pearls before swine, lest they turn on you and trample them underfoot, and then attack you.” Who knows whether this profanation of nature’s mysteries, this brutal intrusion of modern technology into the subtlest vibrations of matter, this apparent triumph of the intellect, will one day mark the beginning of an unprecedented catastrophe in the history of the modern world?The ancient Atlanteans unleashed the forces of the elements, and, unable to control them, perished. We today are no different. We are on the brink of collapse, for our civilization has also violently intruded into nature’s secrets without sufficiently cultivating morality in heart and spirit. Today, while flying through the skies and plumbing the ocean’s depths, the people of the 20th century consider themselves victors over nature. But in reality, they are spiritually bankrupt, selfish in their bloody struggle for existence, blinded by their own arrogance, cold and empty-hearted. Their airplanes, submarines, radios, and wireless telegraphs—tools that could be the glory of life if driven by a noble will—may soon become a curse. When hatred and greed unleash yet another war, all of this technology will become instruments of death, not life"
"... As a mathematician, I do not at all agree with the Author's point of view. and I am not at all ready to consider the tensor algebra as "the mother" of the other algebras. But as a reviewer, I observe that the Author supports his thesis with interesting arguments (in other words, it is not just propaganda), and I wish his paper to become a useful contribution to the debate."
А как вы воспринимаете для себя информацию - как новые знания, полученные от людей, или как ваши знания, которыми вы делитесь с людьми? А может быть, информация для вас это нечто самостоятельное, живущее свей жизнью. Тогда я не понимаю, что это такое.
ReplyDeleteFor instance when a new idea comes to my mind unexpectedly. Or when I know someone's thoughts or needs, from a distance. When a lost dog finds the way to the owner from the distance of hundreds of miles. These are the cases when the "information dimension" is being tapped on.
DeleteOr when a stone is falling down in a gravitational field. How does it "know" that there is a gravitational field around and that it should obey a geodesic equation? The stone is reading the information form the information dimension.
DeleteПонятно. Иначе говоря, информационное измерение это то, что связывает казалось бы далёкие точки в пространстве и времени. Тогда вам никак не обойтись без концепции компактного пространства-времени. Это как иррациональная обмотка тора, на которой две далёкие точки на самом деле могут быть совсем рядом.
ReplyDeletePerhaps something like that, Thank you, Igor, for your comment.
Delete"Or when a stone is falling down in a gravitational field. How does it "know" that there is a gravitational field around and that it should obey a geodesic equation? The stone is reading the information form the information dimension."
ReplyDeleteStone-waves just accelerate in regions where aether is non-isotropic.
But why do they do it?
DeleteHow deep is your "why" ?
DeleteI know that your promises cannot be fully relied upon, but I look forward to your further notes on spin.
ReplyDeleteThey will be coming, these notes on spin and on quantum mechanics. Todays is Sunday's Special.
DeleteSo why do these stone waves accelerate where aether is non-isotropic?
How deep is my "why"? It has infinite depth.
At the bottom of the infinite well of reality is:
Delete"There is not nothing"
so there is something.
I would accept this very general answer. But then I am asking: what makes this "something" so rather very special? Why do these stone waves accelerate?
DeleteI think we can start by considering why a guitar string vibrates. Then we can consider how waves travel in non-homogeneous and non-isotropic media.
DeleteWe can start with guitar string. Why is it vibrating? Good question. We can describe this vibration by a nice equation. But why does the guitar string obeys this equation? Newton laws? Why do stones and strings have to obey these laws? Why these laws and some other laws? Or no laws at all? Why?
DeleteCorrection:
Delete*and some other laws*
ano NOT some other laws
"what makes this "something" so rather very special?"
DeleteWhat makes R^3 good enough for vector product?
Perhaps even earlier question: what makes R^3 to "exist"? Very good question.
Delete@Bjab For your info: I am trying to keep a fixed schedule of posting new notes: Wednesday, Friday, Sunday, usually before the noon.
DeleteПрирода в её борьбе с хаосом работает по принципу наименьшего действия, отсюда и происходят все её законы. Нам остаётся только найти (отгадать) метафизический смысл действия. Мой вариант ответа - действие есть расстояние на семимерной сфере, пройденное частичкой материи или скоплением частичек материи.
ReplyDeleteYes least action is really important but from a path integral point of view or even a Fock space point of view it seems a particle knows math done over all of spacetime including the time part. To me it seems Ark's central algebra differential geometry (of EEQT) would kind of repeat a lot of the math of the non-central algebra (normal Fock space bosons and fermions) only the central algebra would not just be what is at the local vertex but be an integral over all the spacetime. No way to show this but perhaps could show the repeating math.
ReplyDeleteAs for information, I think Igor dropped into bit representations for something in his work and I tend to think of Clifford/geometric algebra as bits due to elementary cellular automata having a Cl(8) symmetry. For example, translations in the cellular automata analogy have straight lines for their thumbnail picture and have two one-bits (bivector-like) and have one one-bit in common (for translations) and four one-bits that are different (for X-Y-Z-T).
Translations in the central algebra would also be straight line thumbnails but since they are 4-vectors (4 one-bits) the bit scheme is different as in one bit the same (translations) and three bits used for X-Y-Z-T as in XZT-YZT-XYT-XYZ.
Some Clifford algebras have a nontrivial center, for instance Cl(3,2) if I remember well. I am thinking about constructing a toy model of EEQT based on one such algebra. There will be only jumps, no continuous evolution in this case.
DeleteA Clifford algebra of even dimensions is not I think usually interesting for central algebras but Tony was kind of different. He had Cl(8) related to H92 plus SU(8) plus two copies of SU(2)xU(1) for the Higgs creation/annihilation sector. The A7 SU(8) has Z8 for a center and H92 with its trivial center adds a U(1). The SU(8) and U(1) for the central algebra would come from 64 of the 70 Cl(8) 4-vectors and the two Higgs SU(2)s would also be 4-vectors. The Higgs scalar and pseudoscalar would as expected be the 0-vector and 8-vector. I know you've mentioned SU(4,4) before and that could fit with Tony.
DeleteAlgebraists are dashing guys, of course, but who is Tony?
DeleteSee here:
Deletehttps://vixra.org/author/frank_dodd_tony_smith_jr
Спасибо. Алгебры Клиффорда и группы Ли, конечно, применяются в физике и даже иногда используются как фундамент физики, но всё это слишком абстрактно. А если исходить из того, что алгебры Клиффорда порождаются векторными полями сфер (гиперсфер), а группы Ли вращениями евклидовых (псевдоевклидовых) пространств, то основания физики можно поискать в свойствах динамических систем.
Delete"а группы Ли вращениями евклидовых (псевдоевклидовых) пространств"
DeleteThis way you get SO(3), but how will you get SU(2) from rotations in 3d Euclidean -space?
SU(2) получается парными вращениями в 4-мерном евклидовом пространстве. Хорошо описано у Розенфельда Б.А.
DeleteRozenfeld? Which book? Which page? I need to learn it! Of course every complex group can be considered as a subgroup of a higher dimensional real group, but then it is probably not that easy to see that SU(2) is the double cover of SO(3)?
DeleteНеевклидовы геометрии. Давно я туда не заглядывал, поэтому мог и наврать. Возможно там речь только об алгебре кватернионов, но отсюда один шаг до SU(2).
DeleteOK. Thanks. Quaternion algebra is a Clifford algebra. We are back home!
DeleteЕсли плясать от алгебр Ли, то можно обойтись и без алгебр Клиффорда. Посмотрите раздел "Алгебры Ли вращающихся торов" на странице 95 русскоязычного варианта Мат. заметок по ссылке
Deletehttps://www.researchgate.net/publication/322369062_Matematiceskie_zametki_o_prirode_vesej
Spasibo, Igor!
DeleteIgor, I started seriously reading your "Zametki". What is your "dynamical system"? How you define it in general> Any vector field on a manifold? And if your manifold changes with "time" tau? Do you have a general definition?
DeleteМне ещё рано попадать в рубрику "изучаем классиков", поэтому давайте разбираться вместе. Вот если вы хотите описать векторное поле на окружности в эволюции, то скорее всего вы возьмёте евклидову плоскость и поместите туда окружность с центром в начале отсчёта и радиусом равным (или монотонно зависящим от) эволюционному параметру. Какие ограничения в этом случае накладываются на динамическую систему при условии, что векторное поле задаёт линейные скорости движения частичек несжимаемой сплошной среды окружности?
DeleteI am not getting it. I will read Zametki slowly and ask questions when they appear. My first question is what exactly do you mean by a "dynamical system"?
DeleteСобственно, именно это я и хотел сказать, то есть пояснить, что под динамической системой я понимаю векторное поле на окружности (сфере), радиус которой зависит от \tau
DeleteBut this is not a mathematically precise definition. Different people will try to interpret it in different ways. Can you try to give a mathematically precise intuition.
DeleteНе знаю как это сформулировать. Пока я просто смешиваю касательные и ортогональные линейные векторные поля.
DeleteOK. I will try to understand your idea and try to figure it out if it can be given a precise definition.
DeleteSomething like infinite tensor product as the consciousness of God would probably be beyond what the referee would want in the debate but it's nice seeing "mother algebra" as a welcomed concept to entertain.
ReplyDelete