Possibility of Geometrical Interpretation of Quantum Mechanics and Geometrical Meaning of "Hidden Variables"

2021 ◽  
Author(s):  
Oleg A. Olkhov
Keyword(s):  
Quantum Mechanics ◽  
Hidden Variables ◽  
Geometrical Interpretation ◽  
Interpretation Of Quantum Mechanics ◽  
Geometrical Meaning

scholarly journals Conceiving Particles as Undulating Granular Systems Allows Fundamentally Realist Interpretation of Quantum Mechanics

Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1338
Author(s):  
Stéphane Avner
Keyword(s):  
Quantum Mechanics ◽  
Measurement Problem ◽  
Hidden Variables ◽  
Granular Systems ◽  
Interpretation Of Quantum Mechanics ◽  
Linear Dynamical Systems ◽  
Wave Particle Duality ◽  
Realist Interpretation ◽  
Quantum Phenomena ◽  
High Level

The strange behavior of subatomic particles is described by quantum theory, whose standard interpretation rejected some fundamental principles of classical physics such as causality, objectivity, locality, realism and determinism. Recently, a granular relativistic electrodynamical model of the electron could capture the measured values of its observables and predict its mass from the stability of its substructure. The model involves numerous subparticles that constitute some tight nucleus and loosely bound envelope allegedly forming real waves. The present study examines whether such a substructure and associated dynamics allow fundamentally realist interpretations of emblematic quantum phenomena, properties and principles, such as wave-particle duality, loss of objectivity, quantization, simultaneous multipath exploration, collapse of wavepacket, measurement problem, and entanglement. Drawing inspiration from non-linear dynamical systems, subparticles would involve realist hidden variables while high-level observables would not generally be determined, as particles would generally be in unstable states before measurements. Quantum mechanics would constitute a high-level probabilistic description emerging from an underlying causal, objective, local, albeit contextual and unpredictable reality. Altogether, by conceiving particles as granular systems composed of numerous extremely sensitive fluctuating subcorpuscles, this study proposes the possible existence of a local fundamentally realist interpretation of quantum mechanics.

scholarly journals Probability Theory as a Physical Theory Points to Superdeterminism

Entropy ◽  
2019 ◽  
Vol 21 (9) ◽  
pp. 848 ◽  
Author(s):  
Vervoort
Keyword(s):  
Probability Theory ◽  
Quantum Mechanics ◽  
Physical Theory ◽  
Explanatory Power ◽  
Hidden Variables ◽  
Relativity Theory ◽  
Interpretation Of Quantum Mechanics ◽  
Simple Fact ◽  
Standard Position ◽  
The Central Limit Theorem

Probability theory as a physical theory is, in a sense, the most general physics theory available, more encompassing than relativity theory and quantum mechanics, which comply with probability theory. Taking this simple fact seriously, I argue that probability theory points towards superdeterminism, a principle that underlies, notably, ‘t Hooft’s Cellular Automaton Interpretation of quantum mechanics. Specifically, I argue that superdeterminism offers a solution for: (1) Kolmogorov’s problem of probabilistic dependence; (2) the interpretation of the Central Limit Theorem; and (3) Bell’s theorem. Superdeterminism’s competitor, indeterminism (“no hidden variables”), remains entirely silent regarding (1) and (2), and leaves (3) as an obstacle rather than a solution for the unification of quantum mechanics and general relativity. This suggests that, if one wishes to stick to the standard position in physics and adopt the principles with the highest explanatory power, one should adopt superdeterminism and reject indeterminism. Throughout the article precise questions to mathematicians are formulated to advance this research.

scholarly journals New interpretation and thought experiment in quantum mechanics

2018 ◽  
Author(s):  
John joseph Taylor
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Thought Experiment ◽  
Hidden Variables ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Interpretation Of Quantum Mechanics ◽  
Multiple Dimensions ◽  
Non Local ◽  
New Interpretation

An interpretation of quantum mechanics involving multiple dimensions is proposed, as well as a thought experiment that in principle if performed correctly could either prove or disprove quantum randomness. All outcomes, of a particle’s wave function manifest but manifest in more than three dimensions, and when the wave function collapses, we see the outcome of the wave function, which only exist in three dimensions. Furthermore, a particle is a much larger object, and exists physically as a wave across more than three dimensions and our best description of this is the Schrodinger wave, because it only describes it in three dimensions. We cannot observe the particle as a wave because it is spread out as an object in which most of it exists in more than three dimensions, but when we observe the part or outcome of a wave function that does exist in three dimensions, which is when collapse occurs it leads to particle like properties, due to not being able to interact with the rest of the wave because it is confined to just interacting on a three dimensional scale because we are observing it in three dimensions. Furthermore we cannot observe the part of the wave function that exists in more than three dimensions, in three dimensions because of the principle that in order to observe an object in it's entirety it needs to be observed in all of it's dimensions. Strange phenomenon in quantum mechanics such as tunneling, can be explained by saying that there is a probability of finding the part of wave function that exists in three dimensions on the other side of the barrier, which has travelled over that barrier classically and the probability of it travelling over the barrier decreases expontentially to the width of the barrier increasing. Whether the quantum world is random, or is determined by non-local hidden variables, can be determined by a simple deductive thought experiment as outlined in this article.

On the Probabilistic Nature of Observable Phenomena

2019 ◽  
Author(s):  
Muhammad Ali
Keyword(s):  
Quantum Mechanics ◽  
Complete Theory ◽  
Interpretation Of Quantum Mechanics ◽  
Multiple Realities ◽  
Lack Of Information ◽  
Complete Theories ◽  
Probabilistic Nature

This paper proposes a Gadenkan experiment named “Observer’s Dilemma”, to investigate the probabilistic nature of observable phenomena. It has been reasoned that probabilistic nature in, otherwise uniquely deterministic phenomena can be introduced due to lack of information of underlying governing laws. Through theoretical consequences of the experiment, concepts of ‘Absolute Complete’ and ‘Observably Complete” theories have been introduced. Furthermore, nature of reality being ‘absolute’ and ‘observable’ have been discussed along with the possibility of multiple realities being true for observer. In addition, certain aspects of quantum mechanics have been interpreted. It has been argued that quantum mechanics is an ‘observably complete’ theory and its nature is to give probabilistic predictions. Lastly, it has been argued that “Everettian - Many world” interpretation of quantum mechanics is very real and true in the framework of ‘observable nature of reality’, for humans.

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