Greetings to all!
Undecidability, Uncomputability, and Unpredictability Essay Contest
Very interesting questions have been announced by FQXi for a solution in 2020. On the one hand, in fact, it is announced that the era of the principles of classical mechanics has passed. On the other hand, disputes about the principles of quantum mechanics have always existed and never ceased.
For example, on the one hand, Arnold Neumaier described the situation as follows:
"The most general kind of quantum measurement and the resulting prepared state is described by so-called positive operator valued measures (POVMs). Comments on the Interpretation not further discussing the foundations of quantum mechanics beyond this is called shut-up-and-calculate".
On the other hand, 1999 Nobel laureate Gerard't Hooft gave the shortest, most capacious and, in my opinion, brilliant answer to similar questions of the FQXi 2020 contest "So my advice is: do not believe in no-go theorems".
I support the position of Gerard't Hooft on superdeterminism and quantum mechanics on a classical basis. [ The Cellular Automaton Interpretation of Quantum Mechanics ].
«We are inspired to search with utter concentration precisely at those spots where no-one else has taken the trouble to look before».
«It is my intention to remove every single bit of mysticism from quantum theory, and we intend to deduce facts about reality anyway».
«There is one important way in which we deviate from Copenhagen however. According to Copenhagen, certain questions are not to be asked:
Can it be that our world is just a single world where things happen, according to evolution equations that might be fundamentally simpler than Schrodinger's equation, and are there ways to and out about this? Can one remove the element of statistical probability distributions from the basic laws of quantum mechanics?»
«eventually, our aim is not just a reinterpretation of quantum mechanics, but the discovery of new tools for model building».
«Sure, we do not know how to formulate the most basic laws at present, but we are collecting indications that a classical world underlying quantum mechanics does exist».
«When investigating theories at the tiniest conceivable scales in nature, almost all researchers today revert to the quantum language, accepting the verdict from the Copenhagen doctrine that the only way to describe what is going on will always involve states in Hilbert space, controlled by operator equations. Returning to classical, that is, non quantum mechanical, descriptions will be forever impossible, unless one accepts some extremely contrived theoretical constructions that may or may not reproduce the quantum mechanical phenomena observed in experiments».
«It raises the following question: given any kind of quantum system, whose energy spectrum can be computed. Would it be possible to identify a deterministic model that mimics the quantum model? To what extent would one have to sacrifice locality when doing this? Are there classes of deterministic theories that can be mapped on classes of quantum models? Which of these would be potentially interesting?»
[ Gerard't Hooft The Cellular Automaton Interpretation of Quantum Mechanics. ]
Gerard't Hooft suggested considering some the many options for quantum mechanics based on cellular automata and the principles of classical mechanics, which will lead to superdeterminism.
Gerard 't Hooft in his Cellular Automata Interpretation of Quantum Mechanics he concludes:
"It may seem odd that our theory, unlike most other approaches, does not contain any strange kinds of stochastic differential equation, no 'quantum logic', not an infinity of other universes, no pilot wave, just completely ordinary equations of motion that we have hardly been able to specify, as they could be almost anything".
«We conclude that the most general model will be described as a set of simple periodic cogwheel models with varying periodicities»
Thus, Gerard't Hooft gave only a direction in which it is necessary to move further in the development of real quantum mechanics.
In my opinion, only the fractal and material gravity pilot waves («analog of a set of simple periodic cogwheel models with varying periodicities») allow us to develop simple and realistic quantum mechanics based on classical mechanics.
But without the practical implementation of quantum mechanics based on classical mechanics, nothing can be proved. Only facts convince. I had to look for specific experimental confirmations of quantum effects in the fractal structure of matter, which was given in FQXi 2018.
In addition, everyone knows the fact Jeffrey Yepez writes about:
«The main topological feature of a superfluid is a quantum vortex with an identifiable inner and outer radius».
In this regard, in the universal quantum model, only one essence was used: material vortex toroidal, fractal and gravitational pilot waves of de Broglie and Compton (analogues of Wheeler's geon). It is assumed that all processes of fractal matter obey the generalized quantum laws of the formation of material pilot waves, which transfer the energy and form inertia force impulses during remote interaction in the process of their reformation.
It has been shown that toroidal soliton vortices are stable in superfluid media due to the formation of a toroidal gravitational field that forms quantum orbital pilot waves, which are quantum gravitational potential wells.
For example, the formation of gravitational fields in sound waves is described in work The gravitational mass carried by sound waves.
The universal quantum laws of fractal matter were formed on the basis of classical mechanics, radio engineering, experiments in quantum mechanics, and observations in the solar system. The universal quantum laws of fractal matter include Rydberg's formula, which describes physical processes well.
A moving body forms a potential well through many pilot waves. In the process of acceleration, the pilot waves are transformed according to the de Broglie wave formation law and form many impulses of the body's inertia force, as a result of which the body goes into another potential well.
Unlike energy, the mass of particles and bodies is a less fundamental parameter and depends on the topological features of the structure and level of fractal matter.
In this essay, the basic universal quantum laws of fractal matter are formulated on the principles of classical mechanics, which lead to superdeterminism. These laws are valid for any turbulence at any scale in all structures of the Universe, which is confirmed by many experiments.
In work particular attention is paid to the possibilities of carrying out simple calculations of the structure of interacting matter and the calculations are in good agreement with many observation and experiments.
Thus, there is a fairly high probability that Gerard't Hooft is right, and quantum mechanics will be created and adopted on a classical basis. This means that, to my deep regret, most of the participants in the FQXi 2020 contest answered questions that do not exist in reality, and, obviously, will not exist in future science.
I hope that my modest achievements can be information for reflection for you.
Warm Regards,
Vladimir