July 30, 2025Open Access

Relativistic Algebra over Finite Ring Continuum

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Formal reconstruction defines pseudo-numbers in finite fields, suggesting a new foundation for mathematics and physics.

The study reconstructs number systems using finite fields, defining them as observer-dependent constructs.
Arithmetic and algebra are redefined, eliminating reliance on actual infinity within the framework.
Mappings for number classes are established, maintaining algebraic properties without infinite structures.
The Finite Ring Continuum provides a foundational approach for mathematics, physics, and logic in a finite universe.

Yosef Akhtman (2025) studied this question.

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