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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
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The Principle of Universal Rigidity λ = −1 as the Source Code of Celestial Mechanics

Authors: Allaghi, Sami;

The Principle of Universal Rigidity λ = −1 as the Source Code of Celestial Mechanics

Abstract

We establish the Principle of Universal Rigidity: the coupling constant λ = −1 is the unique algebraic value that stabilizes the structure of reality. Derived from the idempotence constraint on the affine 0-Hecke monoid H₀(Ã₂), this constant directly implies Kepler’s third law of planetary motion with sub-0.1% precision across all eight planets. This document supersedes all previous work on the coupling constant. The erroneous equation λ² + λ + 2 = 0 is definitively replaced by the correct constraint λ² + 3λ + 2 = 0, which yields real solutions and exact physical predictions. Keywords: 0-Hecke monoid, idempotence, coupling constant, Kepler’s laws, celestial mechanics, Hopf algebra

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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