( B ) Structural Variance Control: From Diagnostic Limits to Programmatic Control

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Authors: Uthit Lakkaew
Cited by: 0

Abstract

This project presents a programmatic analysis of Structural Variance Control (SVC), a conceptual framework developed in response to persistent non-resolution in foundational mathematics and theoretical physics. Building on prior diagnostic work identifying structural unforcedness, this paper shifts the focus from explanation to reorientation. It argues that many unresolved foundational problems persist not because of exceptional difficulty, but because the frameworks in which they are posed lack mechanisms capable of enforcing unique global outcomes. Rather than proposing new axioms, dynamics, or technical solutions, this work treats structural variance—the stable coexistence of multiple globally admissible configurations—as a legitimate and refinement-invariant object of study. The central contribution is programmatic: it clarifies why resolution-oriented inquiry fails in permissive architectures and formulates minimal, domain-agnostic requirements that any meaningful notion of variance control must satisfy. This project does not contain preregistered experiments or hypotheses. Its aim is to establish a conceptual bridge between diagnostic accounts of enforcement failure and future operational theories in which control, rather than resolution, becomes the primary criterion of progress.

Fields of Study & Subjects

Smarandache Functions and Recreational Number Theory History and Theory of Mathematics Logic and Philosophy of Science

Publication details

Publication date
1 January 2026
Language
EN
Document type
Preprint