## Dirac Theory's Breaches of Quantum Correspondence and Relativity; Nonrelativistic Pauli Theory's Unique Relativistic Extension

**Authors:** Steven Kenneth Kauffmann

A single-particle Hamiltonian independent of the particle's coordinate ensures the particle conserves momentum, i.e., is free. This free-particle Hamiltonian is completely determined by Lorentz covariance of its energy-momentum and the particle's rest-energy value; such a free particle has velocity which vanishes when its momentum vanishes. Dirac required his free-particle Hamiltonian to be inhomogeneously linear in momentum, which contrariwise produces velocity that is independent of momentum; he also required his Hamiltonian's square to equal the above relativistic Hamiltonian's square, forcing many observables to anticommute and breach the quantum correspondence principle, as well as forcing the speed of any Dirac "free particle" to be c times the square root of three, which remains true when the particle interacts electromagnetically. The quantum correspondence principle breach causes a Dirac "free particle" to exhibit spontaneous acceleration that becomes unbounded in the classical limit; an artificial "spin" is also made available. Unlike the Dirac Hamiltonian, the nonrelativistic Pauli Hamiltonian is free of unphysical anomalies. Its relativistic extension is worked out via Lorentz-invariant upgrade of its associated action functional at zero particle velocity, and is obtained in closed form when there is no applied magnetic field; when there is, a successive approximation scheme must be used.

**Comments:** 12 Pages.

**Download:** **PDF**

### Submission history

[v1] 2018-10-07 11:09:53

**Unique-IP document downloads:** 18 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*