
Presents German physicist Werner Heisenberg's 1958 text in which he discusses the philosophical implications and social consequences of quantum mechanics and other physical theories
By "aggregate macro level" I mean the averaging out of aggregate probabilities of multitudes of random events. This is what gives rise to an emergent predictability and determinism which we perceive as certainty. One way to understand this is; For any one event its aggregate probabilities must sum to one thus making it certain within its outcome space. This is carried forward when you consider (as you put it) "a combinatorial explosion" of multitudes of random events.
> You also imply (I think) that there is a finite space (bounded) for a variable to range in. Analogous to an LLM spanning and recombining its training materials. But what of the infinite - the unknown ?
Your comparison of random variables in quantum theory with random variables in LLMs is a bit far-fetched but there certainly are some parallels in the usage of probability distributions in a information-theoretic sense (including infinity).
> Of course one might say that we as hoominz are similarly bounded - that we are a variety of wetware LLM, limited by our own training materials (i.e. genes + sensory inputs + generated mental experiences).
W.r.t. Humans vs. LLMs one needs to bring together; a) A study of Language as being indistinguishable from the "Reality" it describes. b) A study of psychological theories like "Self-Determination Theory" (SDT), "Operant Conditioning", "Behaviourism" and finally, c) Neurobiology which gives rise to what we call "emergent Consciousness". Humans are not just a variety of "wetware LLM".
> But being of a spiritual bent myself, I ask: Where is the foot in the door for the divine ? Knocking at the door of fundamental unknowability - as you say, "unpredictable and indeterministic at the quantum micro level". If there is an intangible, immaterial element to our existence - call it a "soul" - then we might have identified the interface where "the rubber meets the road".
Now we are in the philosophical realm. At the human level we have the various schools of philosophy of which the dualistic Hindu school of "Samkhya" is a good model to study and seek mappings from. According to this school, there is a constant/unchanging/attributeless "Consciousness" (which in materialistic science we can map to an "Emergent Property" of a complex system that is the total Human Organism) and no "divinity" outside of you. Complementing it is the "External Reality" which includes everything else both material(matter etc.)/immaterial(your thoughts/feelings etc.) and which is constantly changing/evolving dynamically over time. It is said that "Consciousness Observes/Witnesses Reality".
This directly parallels quantum theory where the Observer and the Object are entangled into one system during the act of Observation/Measurement though they are separate. This entanglement is what you could call (roughly) "The Mind" where you build Reality i.e. collapse of the possibilities into a single result.
The above is one of the reasons that most Quantum Physicists were quite enamoured of and studied the various Hindu schools of philosophy since there were many parallels here.
Finally, at the Physics level see the excellent "Physics and Philosophy by Werner Heisenberg" for a nice exploration.
With this kind of cosmological picture one is led to suppose that there was a beginning of time, and that it is meaningless to inquire into what happened before then. One can get a rough idea of the geometrical relationships this involves by imagining the present to be the surface of a sphere, going into the past to be going in towards the centre of the sphere, and going into the future to be going outwards. There is then no limit to how far one may go into the future, but there is a limit to how far one can go into the past, corresponding to when one has reached the centre of the sphere. The beginning of time provides a natural origin from which to measure the time of any event. The result is usually called the epoch of that event. Thus the present epoch is 2 x 109 years [actually 2x10^9].
One further point in connection with the new cosmology is worthy of note. At the beginning of time the laws of Nature were probably very different from what they are now. Thus we should consider the laws of Nature as continually changing with the epoch, instead of as holding uniformly throughout space-time. This idea was first put forward by Milne, who worked it out on the assumptions that the universe at a given epoch is roughly everywhere uniform and spherically symmetrical. I find these assumptions not very satisfying, because the local departures from uniformity are so great and are of such essential importance for our world of life that it seems unlikely there should be a principle of uniformity overlying them. Further, as we already have the laws of Nature depending on the epoch, we should expect them also to depend on position in space, in order to preserve the beautiful idea of the theory of relativity there is fundamental similarity between space and time. This goes more drastically against Milne's assumptions than a mere lack of uniformity in the distribution of matter.
Show respect to Mathematicians/Physicists/etc. many of whom had studied Philosophy and i dare say had a better understanding/insight of it than mere academic Philosophers. Why? Because they don't go off into la-la land but try very hard to have both observed evidence and a mathematical model of it match cleanly via a Theory.
For your edification, read first "Meditations on First Philosophy by Rene Descartes" followed by "Physics and Philosophy by Werner Heisenberg".
The best book to get a grasp on the above is Werner Heisenberg's classic Physics and Philosophy: The Revolution in Modern Science. The introduction by Paul Davies itself is worth the price of the book since it highlights the main issues quite clearly.
At the fundamental level quantum systems have an inherent indeterminism (as a consequence of the famous uncertainty principle) which is what we find hard to grasp. It does not mean total anarchy but that you can only calculate relative probabilities of the alternatives in the answer set i.e. it is a statistical theory. Thus it can make definite predictions about sets of identical systems but generally cannot say anything definite about a specific individual system.
For example, an electron doesn't exist as a single thing occupying a specific trajectory around the nucleus. It only exists as a set of potentialities occupying an area of space viz. the so called electron shell. Only when a measurement is made does a electron-with-position or electron-with-momentum can be said to come into existence (since before the measurement there are only probabilities and you cannot measure both position and momentum sharply simultaneously). It is in this sense that the Reality of an electron is said to only exist in the Measurement/Observation and cannot be said to exist otherwise.
The other side of the coin is that, Modern Neuroscience tells us that the Brain itself is wired to Construct Reality from incomplete data and we seek/construct patterns where there are none. See for example Cordelia Fine's A Mind of Its Own: How Your Brain Distorts and Deceives and watch this Ted talk by Susana Martinez-Conde Reality is made of illusions—and we need them - https://www.youtube.com/watch?v=FzDw07RqCSs
CULTURAL
Einstein - Essays in Humanism
Frayn - Copenhagen
Feynman - Surely You're Joking, Mr. Feynman!
Feynman - What Do You Care What Other People Think?
de Grasse Tyson - Death by Black Hole
Hoffman - The Man Who Loved Only Numbers
Kaiser - Drawing Theories Apart
Kaiser - How the Hippied Saved Physics
Macaulay - The Way Things Work
Paulos - Innumeracy
Sagan - Cosmos
Sagan - Broca's Brain
Sagan - The Demon-Haunted World
Salam - Science in the Third World
Seife - Zero
Weisskopf - The Joy of Insight
POPULAR
Deutsch - The Beginning of Infinity (especially his explanation about fungibility in quantum mechanics)
Feynman - The Meaning of It All
Feynman - Lectures on Physics
Feynman and Weinberg - Elementary Particles and the Laws of Physics
Galison - Einstein's Clocks, Poincaré's Maps
Gamow - One, Two, Three... Infinity
Hadamard - Psychology of Invention in the Mathematical Field
Hawking - A Brief History of Time
Hofstadter - Gödel Escher Bach
Heisenberg - Physics and Philosophy: The Revolution in Modern Science
Polya - How to Solve It
Schrödinger - What is Life?
Susskind - The Theoretical Minimum
Susskind - Quantum Mechanics
Wallace - Everything And More
Weinberg - The First Three Minutes
Wiener - God & Golem, Inc.
TEXTS
Aaronson - Quantum Computing with Democritus (but I don't have a version with me in the acknowledgements https://books.google.com/books?id=jRGfhSoFx0oC&lpg=PR31&ots=... )
Abelson and Sussman - SICP
Abrikosov, Gorkov, and Dzyaloshinski - Methods of Quantum Field Theory in Statistical Physics
Cohen-Tannoudji - Quantum Mechanics (1+2)
Dirac - Lectures on Quantum Mechanics
Eddington - Space, Time, and Gravitation
Feynman - Feynman's Thesis
Feynman and Hibbs - Quantum Mechanics and Path Integrals
Fermi - Thermodynamics
Gattringer & Lang - Quantum Chromodynamics on the Lattice
Goldstein - Classical Mechanics (the old version, NOT with Poole and Safko)
Griffiths - Introduction to Electrodynamics
Griffiths - Introduction to Quantum Mechanics
Jackson - Classical Electrodynamics (2nd edition---the last one entirely in CGS---is preferable)
Kleppner and Kolenkow - An Introduction to Mechanics
Landau and Lifshitz - any book in this series
Nielsen and Chuang - Quantum Computation and Quantum Information
Pauli - Selected Topics in Field Quantization
Peskin & Schroeder - An Introduction to Quantum Field Theory
Purcell - Electricity and Magnetism
Ryden - Introduction to Cosmology
Sakurai - Modern Quantum Mechanics (up to chapter 5, after which Sakurai dies and the editors put his notes together)
Sussman and Wisdom - Structure and Interpretation of Classical Mechanics
Sipser - Introduction to the Theory of Computation
Thorne - Black Holes & Time Warps
Thouless - The Quantum Mechanics of Many-Body Systems
Weinberg - The Quantum Theory of Fields I, II, and III
Zee - Quantum Field Theory in a Nutshell