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ZENODO
Preprint . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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Time-Field Symmetry and the Goldbach Structure: A Chronos-Theoretic Interpretation of Prime Pairing

Authors: Hall, Matthew;

Time-Field Symmetry and the Goldbach Structure: A Chronos-Theoretic Interpretation of Prime Pairing

Abstract

This work presents a Chronos-theoretic interpretation of the Goldbach Conjecture, reframing prime pairing as a consequence of time-field symmetry rather than an isolated number-theoretic phenomenon. In the Chronos model, time acts as an energetic, structured field that shapes stability, clustering, and system evolution across scales. Primes emerge naturally as stability minima within the τ-field landscape, while even integers represent symmetric temporal states that energetically decompose into paired minima. The resulting framework suggests that Goldbach’s structure arises from fundamental temporal symmetry laws rather than purely combinatorial behavior. This provides a physical explanation for the universality and robustness of prime pairing, offering a pathway toward bridging analytic number theory with time-field physics. The work builds on the developing Chronos framework and follows earlier demonstrations that time-field structuring can alter classical computational complexity, including Chronos-accelerated factoring methods.

Keywords

theoretical physics, energy landscape, τ-field, symmetry breaking, stability minima, mathematical physics, computational mathematics, number theory, Goldbach Conjecture, Time field, Chronos Theory, CHaSSE equation, prime pairing, temporal symmetry

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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
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