Personal academic homepage of Rudolf Stepan. Not affiliated with Intracom Telecom, IC Intracom or Intracom Defense. The domain intracom.at is used exclusively for independent scientific research.

Independent Research in Mathematics, Physics & Computational Theory

I publish concept-first research with implementation-oriented notes. Current focus: centered remainder arithmetic (REIST Division) and its practical implications for modular addition workloads.

Featured: REIST Division

REIST Division: Centered Remainder Arithmetic for Modular Addition

2025 · Mathematics & Computation

A framing of remainder arithmetic that centers residues around zero. The goal is not a universal replacement of high performance modular multiplication techniques, but a practical tool for addition-heavy modular workflows where centered reductions can simplify control flow and improve data-parallel implementations.

Press mention (archived)

Project 90 published an independent write-up titled “Rethinking Remainder: Could a Simple Math Trick Supercharge Modern Crypto?” (01 Dec 2025). The original page is currently offline. The PDFs below are preservation copies.

Note: This is a preservation copy. Copyright remains with the original publisher and author.

About

I am an independent researcher working across mathematics, theoretical physics, and computational theory. My work includes conceptual alternatives to gravitational singularities, arithmetic reduction models, and cognitive saturation concepts such as the Petra Principle.

Selected Publications

On the Reduction of Arithmetic Operations to Signed Addition

2025 · Mathematics & Computation

Publication entry

Black Holes Without Singularities: A Conceptual Reinterpretation of Infinity in Gravitation

2025 · Theoretical Physics

Publication entry

The Petra Principle: Cognitive Saturation in Knowledge Work

2025 · Cognitive Theory

Publication entry

YouTube Videos

Short explainers and research summaries from my YouTube channel.

Live Demo

Interactive browser-based demonstrations of selected research prototypes.

The REIST benchmark demo executes performance-critical C++ code compiled to WebAssembly with SIMD acceleration. Due to current browser and runtime limitations, this demo is optimized for and supported on desktop and also mobile platforms.

Supported platforms: Windows (x86-64) and Apple Silicon (macOS).
Also supported: Smartphones and mobile browsers (Android / iOS)

Profiles & Research Pages