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 Paper
REIST Division: Centered Remainder Arithmetic for Modular Addition
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.
REIST-Division: Eine implementierungsorientierte Formulierung zentrierter Restarithmetik
Die überarbeitete und erweiterte deutsche Fassung des REIST-Papers: zentrierte Restarithmetik mit dem Rest als vorzeichenbehaftetem Korrekturterm — jetzt inklusive Hardware-Evaluation auf einem FPGA (Gowin GW2A-18) mit einem Takt pro Aktualisierung statt vier Takten eines herstellergenerierten Divisions-IP.
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.
About
I am an independent researcher and systems developer working across mathematics, theoretical physics, computing architectures, and cognition. My work connects concept-first research with practical implementation, from REIST Division and REIST-OS to hardware-verified FPGA systems, gravitational models, the Petra Principle, and source-critical genealogical reconstruction using archival and parish-register evidence.
Selected Publications
On the Reduction of Arithmetic Operations to Signed Addition
Publication entryBlack Holes Without Singularities: A Conceptual Reinterpretation of Infinity in Gravitation
Publication entryThe Petra Principle: Cognitive Saturation in Knowledge Work
Publication entryYouTube 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)
Projects
Hardware and systems projects with hardware-verified implementations.
6502 SBC FPGA — Synthesizable 8-bit Computer
A complete 6502 single-board computer as synthesizable VHDL: CPU, VIC graphics, SID-compatible sound, UART/VIA and a virtual D64 drive.
REIST-OS
REIST-OS is an independent project exploring a focused operating-system environment built around the REIST ecosystem. The project page brings together its ideas, current development, and practical experiments in one place.