Infratier Closure Physics - Tilt and Twist Costs in Frame Compression

The spin-selection theorem leaves two coefficients free. We derive their ratio from a proposed law for which small changes of an ordinary spatial frame contribute to compression. A phase reference records twist about a marked axis. A second coupling can give extra weight to changes of that axis under tilt. Let be the ratio of the squared responses to a tilt and a twist through the same angle. A maximum-entropy distribution at fixed mean response and a uniform distribution below a fixed response threshold both give a tilt-to-twist coefficient ratio of in the small-step generator. A single spin-one-half doublet then decays most slowly precisely when . Both the response ratio and the step distribution can be measured before testing for spin. The sampling law and access to the spinor lift remain physical hypotheses.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24144535
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Infratier Closure Physics - Tilt and Twist Costs in Frame Compression

Philip Lilien
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Infratier Closure Physics - Tilt and Twist Costs in Frame Compression

Philip Lilien
preprint en

Abstract

The spin-selection theorem leaves two coefficients free. We derive their ratio from a proposed law for which small changes of an ordinary spatial frame contribute to compression. A phase reference records twist about a marked axis. A second coupling can give extra weight to changes of that axis under tilt. Let be the ratio of the squared responses to a tilt and a twist through the same angle. A maximum-entropy distribution at fixed mean response and a uniform distribution below a fixed response threshold both give a tilt-to-twist coefficient ratio of in the small-step generator. A single spin-one-half doublet then decays most slowly precisely when . Both the response ratio and the step distribution can be measured before testing for spin. The sampling law and access to the spinor lift remain physical hypotheses.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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