Deterministic Composite Prediction via OPFORMS

Read full text
Authors: Peter Shanelaris
Cited by: 0

Abstract

This work introduces a deterministic, constructive model for generating and certifying prime structure within a filtered arithmetic domain. Candidates are represented through an encoded normalization scheme, and composite structure is produced explicitly via ordered product generators (OPFORMS). Primality arises as a survivor property under monotone state evolution rather than through divisibility testing, factorization, or classical sieving. A predictive composite coverage invariant is established, showing that no encoded composite can persist below the algorithmic prediction frontier. All claims are restricted to the defined model and verified computational ranges.

Fields of Study & Subjects

Analytic Number Theory Research Advanced Mathematical Theories Cryptography and Residue Arithmetic

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
19 January 2026
Document type
Preprint