What question did this study set out to answer?

This research aims to expand the understanding of prime numbers through the introduction of new theorems and definitions.

April 25, 2026Open Access

Primes as a Field on a Discrete Torus — PrimSpace v2.0

Key Points

This research aims to expand the understanding of prime numbers through the introduction of new theorems and definitions.
Introduced three new theorems related to prime analysis.
Defined key concepts such as Prime Phase Field and Gap Displacement.
Developed the PrimSpace Research Lab v3.0 with interactive tools for data analysis.
Established a formal framework called Primorial Field Dynamics (PFD).
Launched an upgraded browser-based tool with 7 analysis tabs and export features.
Computational engine functionality remains under peer review.

Abstract

Version 2.0 adds three new proven/empirical theorems, three new definitions formalizing the Prime Phase Field, Gap Displacement, and Primorial Hilbert Space, and establishes the framework name Primorial Field Dynamics (PFD). Includes the interactive PrimSpace Research Lab v3.0 — a browser-based tool with 7 analysis tabs and full export system (JSON, CSV, PNG). The computational engine is withheld pending peer review.

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