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The Machine Takes a Quantum Exam (Quest for Entropy #3)

Marijus Masteika

Published Jul 28, 2026• 0 citations
Publisher

Abstract

Quest for Entropy #3: twenty questions, one deterministic clockwork, and the two answers it could not give. This is a demonstration, not a discovery about nature. The scorecard says one family of machines, at one frozen setting, reproduced twenty specific behaviours — it does not say our universe is a clockwork, does not reinterpret quantum mechanics, and does not dodge Bell's theorem, since the hidden machinery here is global, not local. Question 16 is unfinished, not won: the certified pair sits exactly on the classical bound, and entanglement remains unreproduced. Question 6 is a confessed failure, and the cliff-or-floor dichotomy is a named conjecture, measured on both sides and proved on neither. Every number behind this piece is at the machine's own precision, about one percent, and every pass means "within that".

DOI
10.5281/zenodo.21650671

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Quest for Entropy #3: twenty questions, one deterministic clockwork, and the two answers it could not give. This is a demonstration, not a discovery about nature. The scorecard says one family of machines, at one frozen setting, reproduced twenty specific behaviours — it does not say our universe is a clockwork, does not reinterpret quantum mechanics, and does not dodge Bell's theorem, since the hidden machinery here is global, not local. Question 16 is unfinished, not won: the certified pair sits exactly on the classical bound, and entanglement remains unreproduced. Question 6 is a confessed failure, and the cliff-or-floor dichotomy is a named conjecture, measured on both sides and proved on neither. Every number behind this piece is at the machine's own precision, about one percent, and every pass means "within that".
Quest for Entropy #2: how a clockwork with no dice fakes quantum mechanics — the machine taken apart, the exam it passed, and the one wall it cannot get past. This is a demonstration, not a discovery about nature. It does not say our universe is a clockwork, does not reinterpret quantum mechanics, and does not dodge Bell's theorem — the hidden machinery is global, not local, exactly because Bell rules out the local kind (we checked). The recipe was found by an optimizer and only later shown to sit at a fixed point of the geometry; the build is engineering, and we say so. The claim is only this: quantum-looking behaviour can come out of a deterministic machine plus a physical measurement — not that this is why our world is quantum. Everything here describes one family of machines at the settings we tested, and where it fails, it fails in public.
How much of quantum mechanics can a machine with no dice fake? This deposit accompanies the article "The Universe with No Dice" (Quest for Entropy #1), which builds a fully deterministic, classical toy universe and shows that a bounded observer inside it counts Born-rule statistics and double-slit interference to within about one percent of the quantum prediction, with the model's exact failure mode published as a falsifiable limit rather than hidden in error bars. Article: https://questforentropy.substack.com/p/the-universe-with-no-dice Code and reproduction instructions: https://github.com/masteris777/quest-for-entropy-the-universe-with-no-dice
Quest for Entropy #19: how does a quantum world of possibilities give us one definite answer? A toy model of measurement's deepest mystery. We have not solved the measurement problem, derived the private touches, or shown that nature keeps a ledger. This article offers no tested new prediction about nature. We have separated choosing an answer, reproducing its odds and making its record durable, so we can examine each job. I began by asking what special act a detector performs. I now follow the traces it leaves. A small meeting can be reversible. Follow it with a spreading crowd of records, and it can become something no one can practically take back. That is the idea behind the title.
In our terms, this is Bell's 1964 theorem, ‘No local hidden-variable theory can reproduce exactly the quantum mechanical predictions.' Against this, and bound by what Bell takes to be Einstein's definition of locality, we refute Bell's theorem and reveal his error. We show that Einstein was right: the physical world is local; and we advance Einstein's quest to make quantum mechanics intelligible in a classical way. With respect to understanding, and taking mathematics to be the best logic, the author is as close as an email: eprb@me.com
For a century, quantum mechanics has been the most accurately tested theory ever written — and the least understood. It predicts the electron's magnetism to one part in ten trillion, yet no one can quite say why a measurement yields a single definite result, why outcomes appear random, or why two particles far apart are correlated more tightly than any classical theory allows. This paper offers one reading of all three. The deeper description of Nature, we propose, is six-dimensional: ordinary spacetime plus two non-spatial geometric directions — a scale dimension, carrying the resolution at which a question is asked, and a phase dimension, carrying the gauge phase that locks matter to force. In that fuller geometry the underlying state is deterministic and constitutionally real, as Einstein hoped — with no complex phase for quantum chance to be written in; it is not, as Bell's theorem requires of any such theory, local. What a four-dimensional observer sees is its projection; every measurement is unavoidably an average over the two hidden directions — the averaging a century of physics has called collapse. Read this way, the century-old measurement problem becomes three precise questions, each answered by a theorem, and one further question — why outcomes fall in exactly the proportions Born's rule predicts — whose dynamical realization is closed at the relaxation level, as a stated conditional theorem, with one named analytic step remaining. We claim no new laboratory prediction where quantum mechanics already succeeds; we offer a picture in which its deepest strangeness is the shape of a shadow, and the dice — rolled in an imaginary unit made by the same projection — are thrown in two directions our senses can never turn to face. Part of the GG-Theory program, a series of preprints developing a six-dimensional geometric framework and its consequences for particle physics, cosmology, and open-system dynamics. The complete series is available at https://preprints.arisaka-gg.org/
Quest for Entropy #17: the proofs say quantum probability must be a square, never how. On the ledger a fact needs two signatures, and two lengths make an area. That is the Born rule. This episode shows that a settlement rule in which two independent books each sign for an outcome in proportion to its amplitude length, and a fact needs both signatures on the same outcome, reproduces the Born rule, for one particle and for any number of entangled particles settled one pair at a time, while one signature or three do not. The same rule leaves a distant partner's odds untouched and passes the Bell exam; the numbers are on the appendix page. It does not derive the wave: the table and its turns are standard quantum arithmetic, imported. It does not prove that nature settles this way; the two is picked out by counting, and that nature runs the same mechanism is the postulate. It does not say when a settlement occurs, or why a detector settles and a partner particle does not. It is not a claim that nature keeps books, runs a loop, or hashes records; it is a claim that a small deterministic machine with those parts passes these exams, and the code is public so that you can break it.