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The undecidable dynamics generate quantum probabilities

Matheus Pereira Lobo

Published Jul 4, 2021• 0 citations
Publisher

Abstract

We conjecture a new approach to quantum mechanics that, if confirmed, will explain the wave function from a fundamentally deeper level.
DOI
10.31219/osf.io/hfc82

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Quantum mechanics (QM) has the problem of lacking a coherent conceptual foundation, even if its quantitative algorithms are functionally adequate. This paper appraises the conceptual logic beneath quantum mechanics, using as the point of reference a novel alternative conceptual framework called the cordus conjecture. If the cordus conjecture is correct then the comparison suggests that quantum mechanics is conceptually fallacious in several areas: (1) Particles need not be zero-dimensional points after all. (2) Bell�s theorem is refuted as being not universally applicable, and the principle of locality also fails. (3) The wavefunction is a mathematical approximation of a deeper reality, and superposition is not a physical state. (4) Superposition confounds positional and causal (temporal) variability, and this causes the weirdness of the QM interpretations. (5) Cordus identifies the factors that cause decoherence and (6) explains why quantum mechanics does not scale up to macroscopic objects. (7) It is fallacious to consider fields and particles as independent phenomena. Instead they are closely coupled in the cordus, and this explains the measurement context. Several core principles of QM are thereby refuted. The paradox of Schr�dinger�s Cat is explained as an artefact of these flawed premises. The paper also explains why the mathematical machinery of quantum mechanics is a reasonable approximation to reality, even if the concepts are not. The mathematics works, at least within a certain scale-range where: (a) things look like particles and the proposed cordus structure is not evident (i.e. not too small) and (b) where body-coherence is attainable (i.e. not too large). Outside of that range quantum mechanics seems neither conceptually nor mathematically relevant. The same analysis predicts QM is unlikely to scale down to the next deeper level of physics. The implications are that QM is profoundly deficient in its conceptual foundations, and is only an approximation of a deeper and more logically consistent mechanics.
Quantum theory does not have a mechanism that explains how Nature implements probabilities. Thus, the main objective of this paper is to present new directions for the photonics research for the control of photon localization from probabilistic properties, and another step towards a probability field theory. The expectation is to improve photon collection and loss mitigation. The paper delves into the physics of photon probability control to explain the basis for the 4 new proposed experiments. It is known that photons are not affected by the presence of electric or magnetic fields. Therefore, an alternative question is, can photon probabilities be controlled? Probability control means vectoring and modulation. Vectoring is the control of the direction of localization, and modulation is the control of the distance to localization. This paper proposes a control mechanism by rethinking the foundations of quantum theory, using (i) a modified Schrodinger wave function, (ii) a new structure for particle design, (iii) the existence of subspace (x, y, zand no t), (iv) that all particles consists of a disc of the modified Schrodinger or the probabilistic wave function, orthogonal to the particle’s motion vector and (v) all other particle properties (e.g. electromagnetic wave, charge, mass, etc.) are added to this structure. The shape of the new probabilistic wave function is very close to that of the Schrodinger wave function. It is proposed that probabilities can be controlled by altering the electric and magnetic field densities, as probabilities are function the electric and magnetic fields. Thus, a new formula for the Airy Pattern. Modified Airy Pattern experiments are proposed to confirm these findings. These include measuring the photon’s electric field amplitude, the electric fields in materials, using the Airy Pattern to filter photons by their phase. The new theoretical results confirm that probability is a function of the wavelength. Finally, more than 4 experiments are proposed.