Abstract
The traveling wave group that is defined on conserved physical values is the vehicle of transmission for a unidirectional photon or free particle having a wide wave front. As a stable wave packet, it expresses internal periodicity combined with group localization. An uncertainty principle is precisely derived that differs from Heisenberg’s. Also derived is the phase velocity beyond the horizon set by the speed of light. In this space occurs the reduction of the wave packet which is represented by comparing phase velocities in the direction of propagation with the transverse plane. The new description of the wave function for the stable free particle or antiparticle contains variables that were previously ignored. Deterministic physics must always appear probabilistic when hidden variables are bypassed. Secondary hidden variables always occur in measurement. The wave group turns out to be both uncertain and probabilistic. It is ubiquitous in physics and has many consequences.
Highlights
The traveling wave group that is defined on conserved physical quantities is a stable wave packet
In opposition to the Copenhagen interpretation of Heisenberg’s Uncertainty Principle, Schrödinger suggested that a particle may be represented by a wave packet [1], though the packet had been generally supposed unstable [2]
We start with Popper’s propensity theory for the wave function [3]; and we are able to consider new consequences by analyzing the stable wave packet: we find that it has unique properties; that it is the decay product of unstable wave packets; that it contains hidden variables; that its implementation has hidden consequences; that it gives a new perspective on chronic problems; and that it gives a clear and precise derivation for the Uncertainty Principle
Summary
The traveling wave group that is defined on conserved physical quantities is a stable wave packet. In opposition to the Copenhagen interpretation of Heisenberg’s Uncertainty Principle, Schrödinger suggested that a particle may be represented by a wave packet [1], though the packet had been generally supposed unstable [2]. We start with Popper’s propensity theory for the wave function [3]; and we are able to consider new consequences by analyzing the stable wave packet: we find that it has unique properties; that it is the decay product of unstable wave packets; that it contains hidden variables; that its implementation has hidden consequences; that it gives a new perspective on chronic problems; and that it gives a clear and precise derivation for the Uncertainty Principle.
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