scholarly journals Probability Theory as a Physical Theory Points to Superdeterminism

Entropy ◽  
2019 ◽  
Vol 21 (9) ◽  
pp. 848 ◽  
Author(s):  
Vervoort

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.

2021 ◽  
Vol 11 (10) ◽  
pp. 4477
Author(s):  
Avishy Carmi ◽  
Eliahu Cohen ◽  
Lorenzo Maccone ◽  
Hrvoje Nikolić

Bell’s theorem implies that any completion of quantum mechanics which uses hidden variables (that is, preexisting values of all observables) must be nonlocal in the Einstein sense. This customarily indicates that knowledge of the hidden variables would permit superluminal communication. Such superluminal signaling, akin to the existence of a preferred reference frame, is to be expected. However, here we provide a protocol that allows an observer with knowledge of the hidden variables to communicate with her own causal past, without superluminal signaling. That is, such knowledge would contradict causality, irrespectively of the validity of relativity theory. Among the ways we propose for bypassing the paradox there is the possibility of hidden variables that change their values even when the state does not, and that means that signaling backwards in time is prohibited in Bohmian mechanics.


Open Theology ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 325-341
Author(s):  
Marc A. Pugliese

AbstractContemporary theology has realized the importance of integrating what we know from the “new physics”-quantum mechanics and relativity theory-into the metaphysical and ontological categories used by theology to consider God, the world, and the God-world relationship. The categories of subjectivity and relationality have risen to prominence in these discussions. Both academic and popular presentations can obscure the vital distinction between what physicists agree on concerning quantum mechanics and the contested interpretation of quantum mechanics, or what quantum mechanics reveals about reality. After (1) summarizing the significant distinction between quantum mechanics per se and the interpretations of quantum mechanics and (2) the agreed upon quantum mechanical experimental procedure and its attendant mathematical formalism, as well as a few of the foremost interpretations, this paper (3) attempts a minimalist culling of some rudimentary but clear ontological principles and categories from what is agreed upon in quantum mechanics, without appeals-tacit or explicit-to one of the many controversial interpretations or to contestable philosophical assumptions and deductions, and these are: experience, subjectivity, relationship, and event. The paper closes by (4) commending one speculative scheme that is especially conducive to developing an interpretation of quantum mechanics consonant with the ontological principles and categories so derived, that of Alfred North Whitehead


Author(s):  
J. E. Wolff

Quantum mechanics is a paradigmatic example of a scientific theory seemingly demanding ‘an interpretation’. What is it to ‘interpret’ a physical theory? Bas van Fraassen has recently argued that the attitude towards the task of interpreting science can be used to demarcate two otherwise similar epistemic stances: empiricism and naturalism. He claims that while empiricists are committed to the task of interpretation, naturalists cannot make sense of interpretation from outside the scientific theory. Naturalists, it seems, would have to be quietists about interpretation. Chapter 6 investigates in what form, if any, naturalists can make sense of the task of interpretation in the case of quantum mechanics. Doing so will shed light on the question whether interpretation of physical theories is a distinctively philosophical task, and what its purpose might be. It suggests that the aim of interpreting theories is to enhance our understanding, and that this task is not exclusively philosophical.


Entropy ◽  
2021 ◽  
Vol 23 (10) ◽  
pp. 1338
Author(s):  
Stéphane Avner

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.


2018 ◽  
Author(s):  
John joseph Taylor

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.


2020 ◽  
Author(s):  
Douglas Michael Snyder

The mind of man is central to the structure and functioning of the physical world. Modern physical theory indicates that the mind stands in a relationship of equals to the physical world. Both are fundamental, neither can be reduced to the other, and both require each other for their full understanding. This thesis is at odds with the view of the universe found in Newtonian mechanics as well as the generally held view among contemporary physicists of modern physical theory. Since the Renaissance, people have come to understand a great deal about the physical world, and they have gained significant control over it. This increased power over the physical world has occurred hand in hand with the assumption that the structure and functioning of the physical world is essentially independent from human cognition. According to this assumption, if a person’s cognitive capacity did not exist, the functioning of the physical world would not be fundamentally altered. This last statement is not in fact correct, and modern physical theory, and even fundamentals underlying Newtonian mechanics, provide evidence to attest to this. Nonetheless, contemporary physicists for the most part do not see that the relationship of human cognition to the physical world is radically altered in their own modern theory, theory that is supported by a great deal of empirical data. Instead, attempting to preserve the thesis that the structure and functioning of the physical world is independent of the mind while on a practical level relying on modern theory that contradicts this thesis, physicists have placed themselves in the position of wondering at times exactly what is the nature of the physical world at the same time they obtain experimental results concerning the physical world that can only be labeled astonishing in their precision and the scope of their implications. Modern physical theory consists of three main components: 1) the special and general theories of relativity; 2) quantum mechanics; and 3) statistical mechanics. There are very successful theories that have been developed on the basis of these three bedrock areas. An example is quantum electrodynamics. But these theories owe their conceptual foundation to the three components mentioned. The basic issues at the core of these three components also are expressed in these later theories. In addition, there are new unresolved issues of a fundamental nature concerning the conceptual integrity of these later theories that do not apply to quantum mechanics, relativity theory, and statistical mechanics. Quantum mechanics and relativity theory are areas I have written about for over twelve years. The nature of statistical mechanics has also been of interest to me during this time. But when I took a serious look in 1993 at Tolman’s (1938) The Principles of Statistical Mechanics, it became clear that the mind is linked to the physical world in statistical mechanics, a relationship I had found earlier in both relativity theory and quantum mechanics. It was after reading Tolman’s justification of the method of statistical mechanics in the original that I decided to write this book. When I found that the three components of modern physical theory all pointed to the same relationship between mind and the physical world, it became clear that the fundamental isolation of the mind from the physical world that has characterized our experience since the development of Newtonian mechanics is unfounded. Based on empirically supported principles of modern physical theory, I determined that the appropriate assumption for one’s experience, that the mind is linked to the physical world, could be stated with confidence. The impact of this change in assumption concerning the relationship of man to the cosmos in modern physical theory will find its way into our everyday experience. It will perhaps have no greater effect than in reducing the sense of isolation of man from the world that has characterized modern existence.


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