The Riemann Zeros are Photons: A Symbolic Correspondence via APOM Recursion

This paper introduces the Additive Pair Orbit Model (APOM), a symbolic entropy framework that reproduces the nontrivial zeros of the Riemann zeta function directly in the real domain. The construction shows that entropy collapse occurs uniquely on the critical line, producing pseudo-zeros whose spacing and cumulative counts align with the classical Riemann–von Mangoldt law. Reproducible code and tables are included. Within APOM, the zeros correspond to discrete photon-scale events, suggesting a structural link between prime distribution, critical-line symmetry, and quantized light.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-28
DOI
https://doi.org/10.5281/zenodo.16985614
Primary Topic
Geological formations and processes
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Riemann Zeros are Photons: A Symbolic Correspondence via APOM Recursion

Zenodo (CERN European Organization for Nuclear Research)
Geological formations and processes
article

The Riemann Zeros are Photons: A Symbolic Correspondence via APOM Recursion

article en

Abstract

This paper introduces the Additive Pair Orbit Model (APOM), a symbolic entropy framework that reproduces the nontrivial zeros of the Riemann zeta function directly in the real domain. The construction shows that entropy collapse occurs uniquely on the critical line, producing pseudo-zeros whose spacing and cumulative counts align with the classical Riemann–von Mangoldt law. Reproducible code and tables are included. Within APOM, the zeros correspond to discrete photon-scale events, suggesting a structural link between prime distribution, critical-line symmetry, and quantized light.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 45%
Geological formations and processes
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

The Riemann Zeros are Photons: A Symbolic Correspondence via APOM Recursion · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS