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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Pre-Formal Foundations: The Structural Instability of Universal Indifference

Authors: Sworup;

Pre-Formal Foundations: The Structural Instability of Universal Indifference

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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