Pre-Formal Foundations: The Structural Instability of Universal Indifference

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Authors: Sworup
Cited by: 0

Abstract

Foundational theories in mathematics and physics typically begin bypostulating primitive entities, axioms, or laws. This paper takes a differentapproach. Rather than introducing new primitives, we analyze a limitingstructural condition: universal indifference. Universal indifference is understood as the condition in which no distinction has any effect and nodifferentiation is structurally sustained. We argue that universal indifferenceis not a stable structural condition. This claim is pre-formal and does notrely on representation, dynamics, time, observers, or axiomatic systems.The result isolates a minimal instability at the foundation of structure andmotivates the introduction of constraint and non-collapse in subsequentformal work.

Fields of Study & Subjects

Philosophy and Theoretical Science Complex Systems and Dynamics Advanced Mathematical Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 February 2026
Document type
Preprint