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Rudolf Stepan – Independent Researcher in Mathematics, Physics & Computational Theory

Exploring conceptual models in theoretical physics, arithmetic reduction, and cognitive science.

About

I am an independent researcher working in mathematics, theoretical physics, and computational theory. My work focuses on conceptual alternatives to gravitational singularities, the REIST Division framework for negative remainder arithmetic, and cognitive saturation models such as the Petra Principle. I explore the structure of physical models, algorithmic reduction, and the dynamics of expert cognition.

Selected Publications

Black Holes Without Singularities: A Conceptual Reinterpretation of Infinity in Gravitation
2025 — Theoretical Physics
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The Petra Principle: Cognitive Saturation in Knowledge Work
2025 — Cognitive Theory
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On the Reduction of Arithmetic Operations to Signed Addition
2025 — Mathematics & Computation
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YouTube Videos

Short explainers and research summaries from my YouTube channel.

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Full Publications

A complete list of papers (including DOIs and direct PDF downloads) is available on the dedicated publications page:

→ Publications (PDF Library)

Profiles & Research Pages