Prime Scalar Field Claims Lack Mainstream Mathematical Support — E8 Intelligence Research

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22748075
Primary Topic
Analytic Number Theory Research
Type
preprint
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preprint

Prime Scalar Field Claims Lack Mainstream Mathematical Support — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

Prime Scalar Field Claims Lack Mainstream Mathematical Support — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Prime distribution shows hidden order via a "Prime Scalar Field" framework, but mainstream mathematics confirms only statistical regularity (PNT, RH-adjacent structure), not new exact patterns. | MATH: π(x) ~ x/ln(x) (Prime Number Theorem); zeta zeros ζ(1/2+it) govern error term; Dirichlet theorem: primes in arithmetic progressions a mod q with gcd(a,q)=1. No new constants or ratios emerge from the cited sources. | CONNECTION: None directly supported. The "Prime Scalar Field" video claims hidden order but provides no peer-reviewed equations; the arxiv paper (1510.03465) is a simplification of PNT proof, not a new pattern. No 0.382/0.618/0.786/1.618/2.618 or base-60 or crystallographic symmetry appears in the mathematical content. | DEPTH: 3 — The PNT and Dirichlet are profound, but the "new pattern" claim is unsubstantiated; the arxiv proof is elegant but not revolutionary. The scalar field video is speculative, not mathematical evidence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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