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This research aims to redefine mathematical foundations through five axioms, emphasizing physical dynamics over traditional real-number assumptions.

June 13, 2026Open Access

The Information Pixel Universe: Axiomatic Foundations of Generative Space

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This research aims to redefine mathematical foundations through five axioms, emphasizing physical dynamics over traditional real-number assumptions.
Develops a new axiomatic system free from real-number presuppositions.
Derives core theorems algebraically on discrete structures like ℤ_q.
Analyzes the consequences of odd-modulus configurations in relation to physical dynamics.
Introduces the Even Modulus Survival Theorem indicating odd-modulus universes self-destruct due to dynamical skew.
Demonstrates that constants like π and sin arise from emergent behaviors in discrete systems.
Predicts origins of parity non-conservation linked to dynamic elimination of odd-modulus transient states.

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Axiomatic framework explores the transition from being to becoming, altering conventional mathematical foundations.

Zhao Jun (2026) studied this question.

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