Computational Finitism: Discrete Couplings, Geometric Friction, and Radix Invariance
Year: 2026
Type: preprint
Abstract: This paper addresses three foundational challenges in the framework of Computational Finitism: the derivation of the discrete beta function (Problem 1), the mechanism of the Tsirelson bound (Problem 3), and the algebraic necessity of Base-10 (Problem 4). We demonstrate that the fine-structure constant runs from a bare value of to the observed via a topological subtraction of 7 vacuum maintenance channels. We prove that this derivation is radix-invariant. Furthermore, we show that the Tsirelson bound () is an emergent limit caused by "Geometric Friction" () damping a bare non-associative correlation of . Finally, we demonstrate that Problem 4 is a category error: the framework is base-independent by construction.
Author: Ramos, Néstor E.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164936145
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