Abstract
In this article a completely objective decoherence mechanism is hypothesized, operating at the level of the elementary particles of matter. The standard quantum mechanical description is complemented with a phenomenological evolution equation, involving a scalar curvature and an internal time, distinct from the observable time of the laboratory. This equation admits solutions internal to the wave function collapse, and the classical instantons connected to these solutions represent de Sitter micro-spaces identifiable with elementary particles. This result is linked in a natural way to other research programs tending to describe the internal structure of elementary particles by means of de Sitter spaces. Both the possible implications in particle physics and those deriving from the conversion of quantum information (qubits) into classical information (bits) are highlighted.
Highlights
An elementary particle is described, according to quantum mechanics, by a wave function h x |ψin i dependent on the spatial coordinates x and the laboratory time t
Let’s suppose that this particle incides on a beamsplitter capable of sending it on channel 1 or channel 2 with equal probability. Such a situation is described by quantum mechanics through the decomposition of the incident wave function into a superposition of two distinct amplitudes of the type h x |ψin i = 2−1/2 (h x |ψ1 i + eiδ h x |ψ2 i), where δ is the relative phase of the two emerging beams
The bit is the unit of measurement of classical information; in this sense we can say that the quantum jump has produced the conversion of quantum information into classical information
Summary
An elementary particle is described, according to quantum mechanics, by a wave function h x |ψin i dependent on the spatial coordinates x and the laboratory time t. What a Geiger counter detects is the passage of a beta ray In this sense, our proposal differs from the numerous others that aim instead to give a dynamical explanation of the state vector reduction induced by quantum measurements such as decoherence, spontaneous localization, non-unitary and /or non-linear modifications of the equations of motion. Our proposal differs from the numerous others that aim instead to give a dynamical explanation of the state vector reduction induced by quantum measurements such as decoherence, spontaneous localization, non-unitary and /or non-linear modifications of the equations of motion In this regard, a important aspect seems to be the following: ψin could be the amplitude of an incident particle on a double-slit screen and ψout the amplitude coming out of one of the two slits, let’s say ψ1 , when the particle is not found at the exit of the other slit.
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