Powered by OpenAIRE graph
Found an issue? Give us feedback
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/ ZENODOarrow_drop_down
image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

Major Conjectures and Cosmological Tests E; The Cosmological Falsifiability of the Riemann Hypothesis

Authors: zhou, changzheng; zhou, ziqing;

Major Conjectures and Cosmological Tests E; The Cosmological Falsifiability of the Riemann Hypothesis

Abstract

This paper constructs a theoretical and testing framework that connects theRiemann Hypothesis with observable cosmological phenomena. By introducing a setof core axioms based on information ontology (Information Universe Axiom, BinaryGeneration Axiom, Prime Path Axiom), we transform the distribution problem ofthe nontrivial zeros of the Riemann zeta function into a specific physical predictionregarding the statistical properties of phase noise in the large-scale structure of theuniverse. The theory predicts that if this physicalized Riemann Hypothesis holds,then the phase noise power spectrum N(k) extracted from 21 cm intensity mappingobservations, after fractional filtering with the complex parameter s = 1/2 + iρ,will exhibit a series of coherent local minima in the response function F(1/2,ρ) atpositions where ρ equals the imaginary parts of the zeta function zeros. Preliminaryverification of the feasibility of extracting this predicted signal is carried out throughsimulations and system robustness tests based on SKA-2, and a roadmap for futurestep-by-step testing and falsification using actual observation data is planned. Thisopens up for the first time an empirical test path from cosmological scales for thispurely mathematical conjecture.

Keywords

RiemannHypothesis; 21cmCosmology; Information Conservation; Phase Noise; Fractional Filtering; Cosmological Tests; Falsifiability; SKA

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average