Lemma 1: Optical Equivalence of Inward Scale Damping to Metric Expansion
Year: 2026
Type: preprint
Abstract: We establish Lemma 1 of the Fundamental Pocket Model (FPM) framework, providing a mathematical proof that an inward recursive scale-damping metric across discrete iteration tiers produces an optical reference frame identical to FLRW metric expansion. We derive the exact cosmological redshift relation , the logarithmic tier differential, and the FPM luminosity distance formula . This demonstrates that outward cosmological expansion is an optical manifestation of an inward recursive geometry.
Author: Merrick, Patrick
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225802904
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