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REGULATED ACCUMULATION Spectral Geometry, Physical Structure, and Stability across Scales

This monograph argues that across mathematics, physics, and engineering, unbounded additive continuation is a modeling artifact rather than a physical reality. It introduces a structural thesis: systems naturally exhibit geometric saturation, an intrinsic regulation that constrains accumulation to prevent divergence. Beginning with prime density and logarithmic thinning, the work identifies density compression as a universal […]

ISBN: 979-8-89966-428-1

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ISBN

979-8-89966-428-1
Author

Savio Antonio Vogt
Publisher

Publication year

Language

Number of pages

93

Description

This monograph argues that across mathematics, physics, and engineering, unbounded additive continuation is a modeling artifact rather than a physical reality. It introduces a structural thesis: systems naturally exhibit geometric saturation, an intrinsic regulation that constrains accumulation to prevent divergence.

Beginning with prime density and logarithmic thinning, the work identifies density compression as a universal structural template. This pattern is tracked across diverse domains, including:

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