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Classical Interpretation of Quantum Mechanics

Sylwester Kornowski

Published Dec 1, 2018• 0 citations
OpenAlex

Abstract

Here we present the physical side of the quantum mechanics (QM) that emerges from the Scale-Symmetric Theory (SST). We showed that the quantum superposition is misinterpreted. The key to understand QM is the difference between quantum coherence and quantum entanglement. We as well explained what conditions and structures lead to relativistic invariants such as electric charge and spin, and how this affects the superposition.

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Here we present the physical side of the quantum mechanics (QM) that emerges from the Scale-Symmetric Theory (SST). We showed that the quantum superposition is misinterpreted. The key to understand QM is the difference between quantum coherence and quantum entanglement. We as well explained what conditions and structures lead to relativistic invariants such as electric charge and spin, and how this affects the superposition.
In this paper, we will see that we can reformulate the purely classical probability theory, using similar language to the one used in quantum mechanics. This leads us to reformulate quantum mechanics itself using this different way of understanding probability theory, which in turn will yield a new interpretation of quantum mechanics. In this reformulation, we still prove the existence of none classical phenomena of quantum mechanics, such as quantum superposition, quantum entanglement, the uncertainty principle and the collapse of the wave packet. But, here, we provide a different interpretation of these phenomena of how it is used to be understood in quantum physics. The advantages of this formulation and interpretation are that it induces the same experimental results, solves the measurement problem, and reduces the number of axioms in quantum mechanics. Besides, it suggests that we can use new types of Q-bits which are more easily to manipulate.
A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable predictions of non-relativistic quantum mechanics. Within it, particles exist at points in space, follow continuous, piecewise differentiable paths, and their linear momentum is equal to their mass times their velocity along their path. Yet the probabilities for position and momentum, conditioned on the state of the particle's environment, follow the rules of quantum theory. Indeed, all observable consequences of quantum theory are satisfied; particles can be entangled, have intrinsic spin, this spin is not local to the particle, particle identity can effect probabilities, and so forth. All the rules of quantum mechanics are obeyed, and all arise in a straightforward fashion. After this is established, connections will be drawn out between this type of mechanics and other types of quantum worlds; those that obey Bohmian mechanics, stochastic mechanics, the many worlds interpretation, and physical collapse. In the final section, a relativistic version of the mechanics will be presented.
General Relativity (GR) and Quantum Mechanics (QM) are the theories dependent on the observer/detector so they are not the theories of the independent from observer Nature. In GR it follows from the fact that each act of observation (the photon-detector interaction via exchanges of the invisible superluminal particles responsible for quantum entanglement i.e. there are exchanged the spin-1 entanglons) sets the speed of light in “vacuum” c in relation to the detector (the speed c is in relation to the emitter or a last-interaction object - sometimes it is a detector). In QM it results from the fact that we cannot observe the entanglons directly and because time of observation lasts much longer than the time of exchanges of the invisible superluminal entanglons so there appear wavefunctions, superposition of states, and probabilities to find a particle in different states. Simultaneity of different states of the same particle is an illusion that appears only in the theories dependent on the observer. There must be in existence a more fundamental theory, which should be a theory of Nature independent on the observer - it is the Scale-Symmetric Theory (SST). SST leads to the initial conditions applied in GR and QM and shows that these theories are dependent on the observer. Moreover, SST shows that we cannot unify GR and QM within the same methods. SST shows that Nature behaves classically in a deterministic way but it does not mean that the free will is not in existence.
This paper gives interpretation of Quantum Mechanics (QM) by redefining the theory using 3 new postulates. The first of these postulates specifies the underlying structure that every massive fundamental particle must possess. The mass-Energy equivalence and wave nature of matter emerge as a direct consequence. The second postulate describes the quantum state of particles. Wave function, its conjugate, Born interpretation and the Energy-momentum operators can be derived from these two postulates. The third postulate describes the effect of measurement and interaction on the wave function. The equations of QM starting from Schrodinger’s equation are described. The phenomenon of Quantum entanglement and Schrodinger’s cat thought experiment are described under this interpretation. Finally, the origin of spin resulting from the first postulate is discussed.
We describe here the coherent formulation of electromagnetism in the nonrelativistic quantummechanical many-body theory. We use the mathematical frame of the field theory and its quantization in the spirit of the QED. This is necessary because of the manifold of misinterpretations emerging from the hystorical development of quantum mechanics, starting from the Schrödinger equation of a single particle in the presence of given electromagnetic fields, followed by the many-body theories of many charged identical particles having just Coulomb interactions inspired from the classical electromagnetic theory of point-like charges. However, this later is known to be inconsistent due to the self-interaction. This way could not be continued further to include properly the magnetic forces between the charged particles and lead to a lot of confusion about the interpretation of the magnetic field in the Hamiltonian, as well as about the gauge invariance. We emphasize the importance of the distinction between the applied (external fields) and the field in the matter. All these problems are length properly solved within the non-relativistic QED, nevertheless the confusion dominates in all the problems related to the magnetic properties of the solid state.