Discrete Algebraic Collapse on Q3 and U(30): Parameter-Free Generation of Empirical Integer Constants
Year: 2026
Type: preprint
Abstract: In this paper, we establish a discrete algebraic framework that generates specific integer constants (137 and 1836) without any continuous parameters or empirical fitting. We utilize the structural isomorphism between the 3-dimensional hypercube graph Q3 and the multiplicative group U(30) of integers modulo 30. By defining a bitwise truncation operator over the tensor space of Q3 and the 5th cyclotomic field, we rigorously prove that the topological constraints uniquely determine these two integers. The derivation is based on the geometric intersection of the Laplacian spectrum of the graph and the discriminant of the cyclotomic field, eliminating the suspicion of numerical coincidences. This result provides a purely algebraic generation mechanism for fundamental integer constants, completely eliminating the need for continuous approximations. (Note: The attached PDF is written in Chinese, establishing the primary academic sovereignty).
Author: 黄, 麟荃
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225567531