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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Major Conjectures and Cosmological Tests H; The Cosmological Falsifiability of the ABC Conjecture

Authors: zhou, changzheng; zhou, ziqing;

Major Conjectures and Cosmological Tests H; The Cosmological Falsifiability of the ABC Conjecture

Abstract

This paper explores the potential connection between the ABC conjecture innumber theory and physical phenomena in the early universe. Based on the axiomatic assumptions of ”the universe as an information processing system” and”information conservation” and ”computability”, we reinterpret the arithmetic inequality implied by the ABC conjecture as an efficiency constraint on the ”additive” synthesis processes in the cosmic information flow. This constraint is mappedto a suppression of specific non-Gaussian signals in the cosmic microwave background (CMB) radiation: namely, on collinear triangular configurations satisfyingthe scalar wavenumber addition relation (k1+k2 = k3), the non-Gaussian amplitudeshould exhibit a characteristic exponential decay at high wavenumbers (corresponding to small angular scales). We performed the first test of this prediction usingPlanck 2018 satellite data and observed a suppression signal qualitatively consistentwith the model in the multipole range ℓ > 500, with a global significance of approximately 2.9σ. Further simulation analysis indicates that next-generation CMB-S4experiments will have the capability to conduct a decisive test of this signal. Thisstudy provides a new, operational and falsifiable path for testing the physical relevance of fundamental mathematical structures through cosmological observations.

Keywords

ABCConjecture; CosmicMicrowaveBackgroundRadiation; Non-Gaussianity; Information Conservation; Computability; CMB-S4; Primordial Perturbations

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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
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