FBR Scale-Invariant Time Lock and Golden-Ratio Geometry

Free Body Rotation: Scale-Invariant Time Lock and Golden-Ratio Geometry — From Proton Core to Black-Hole Residue Engineering report on a field-driven account of local time. Nested density runs on a single master grid show local tick rate scaling as 1/\sqrt{\rho}, where \rho is a dimensionless normalized field variable. The 2:1 lock is treated as a standing wave whose cycle rate inherits that scaling under a fixed-stiffness assumption. The same geometric constants (2:1 symmetry and the golden-ratio gear) are hypothesized to organize vortex shells from the fermion core to stellar scales; the black-hole residue is the first place the sheet is proposed to fail to close. Measured gravitational clock rates (GPS, Hafele–Keating, Ashby & Patla Mars/Moon calculations) agree in sign and disagree in magnitude and functional form. The isolation of adjacent locks, the precise 100× cutoff, and the mapping from \rho to gravitational potential remain open.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23989874
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

FBR Scale-Invariant Time Lock and Golden-Ratio Geometry

Mike Dismuke
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

FBR Scale-Invariant Time Lock and Golden-Ratio Geometry

Mike Dismuke
preprint en

Abstract

Free Body Rotation: Scale-Invariant Time Lock and Golden-Ratio Geometry — From Proton Core to Black-Hole Residue Engineering report on a field-driven account of local time. Nested density runs on a single master grid show local tick rate scaling as 1/\sqrt{\rho}, where \rho is a dimensionless normalized field variable. The 2:1 lock is treated as a standing wave whose cycle rate inherits that scaling under a fixed-stiffness assumption. The same geometric constants (2:1 symmetry and the golden-ratio gear) are hypothesized to organize vortex shells from the fermion core to stellar scales; the black-hole residue is the first place the sheet is proposed to fail to close. Measured gravitational clock rates (GPS, Hafele–Keating, Ashby & Patla Mars/Moon calculations) agree in sign and disagree in magnitude and functional form. The isolation of adjacent locks, the precise 100× cutoff, and the mapping from \rho to gravitational potential remain open.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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