The Mathematical Mechanics of Meta-Hessian Stabilized Manifolds

This paper outlines a 5-step dimensional reduction protocol that uses the secondvariation of a higher-dimensional action to define the metric of a lower-dimensionalmanifold. By evaluating the Meta-Hessian of this newly constructed metric—the ”dynamic of the dynamics”—the system generates an automated harmonic filter.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-18
DOI
https://doi.org/10.5281/zenodo.20751171
Primary Topic
Mechanical and Optical Resonators
Type
preprint
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preprint

The Mathematical Mechanics of Meta-Hessian Stabilized Manifolds

Michael "Quinn" Childers
Zenodo (CERN European Organization for Nuclear Research)
Mechanical and Optical Resonators
preprint

The Mathematical Mechanics of Meta-Hessian Stabilized Manifolds

Michael "Quinn" Childers
preprint en

Abstract

This paper outlines a 5-step dimensional reduction protocol that uses the secondvariation of a higher-dimensional action to define the metric of a lower-dimensionalmanifold. By evaluating the Meta-Hessian of this newly constructed metric—the ”dynamic of the dynamics”—the system generates an automated harmonic filter.

Zenodo (CERN European Organization for Nuclear Research)
Mechanical and Optical Resonators
DOIOpen Access PDFOpenAlex
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The Mathematical Mechanics of Meta-Hessian Stabilized Manifolds — Michael "Quinn" Childers · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS