Work

FBR Scale-Invariant Time Lock and Golden-Ratio Geometry

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7225340185
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