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Research PaperResearchia:202603.11015

An implicit restriction in the Dirac quantization

Han Geurdes

Abstract

A restriction was found in the mathematics of the Dirac equation for a free neutrino type of particle. The basic assumption here is the equivalence of the four variables of spacetime. A perspective is defined as a metric tensor format. We asked what happens when we add a perspective where a time variable, $\sim ct$ unit [meter], becomes a space variable, unit [meter], and vice versa. A Lorentz invariant mixed metric tensor equation can be set up in an attempt to describe the neutrino in the cros...

Submitted: March 11, 2026Subjects: Physics; Physics

Description / Details

A restriction was found in the mathematics of the Dirac equation for a free neutrino type of particle. The basic assumption here is the equivalence of the four variables of spacetime. A perspective is defined as a metric tensor format. We asked what happens when we add a perspective where a time variable, ct\sim ct unit [meter], becomes a space variable, unit [meter], and vice versa. A Lorentz invariant mixed metric tensor equation can be set up in an attempt to describe the neutrino in the cross-hairs of two different perspectives. Despite the equivalence of variables, and despite the fact that no single perspective is likely to be preferred, we find that the neutrino is "internally" changed in the cross-hairs of two different perspectives. Of course, if the two perspectives do not go together this conclusion collapses.


Source: arXiv:2603.08516v1 - http://arxiv.org/abs/2603.08516v1 PDF: https://arxiv.org/pdf/2603.08516v1 Original Link: http://arxiv.org/abs/2603.08516v1

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Date:
Mar 11, 2026
Topic:
Physics
Area:
Physics
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