Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 2 versions
addClaim

Piecewise-Constant Gluon Amplitudes as Projective Signatures of the Hernández-Valdivia Modular Lattice: A Discrete Resolution to the Single-Minus Anomaly

Authors: Hernández Valdivia, Carlos Mariano;

Piecewise-Constant Gluon Amplitudes as Projective Signatures of the Hernández-Valdivia Modular Lattice: A Discrete Resolution to the Single-Minus Anomaly

Abstract

The Fallacy of the Quantum Continuum and the Single-Minus Anomaly Recent breakthroughs in Yang-Mills theory have demonstrated that single-minus tree-level n-gluon scattering amplitudes are nonvanishing for certain "half-collinear" configurations. Furthermore, in the restricted kinematic region (R_1), the stripped amplitude evaluates exclusively to discrete integers: +1, -1, or 0. This paper proposes that this piecewise-constant behavior is not a mere artifact of complexified momenta, but the first direct phenomenological evidence of the Hernández-Valdivia Limit (eHV). Boolean State Operations of the Vacuum We demonstrate that the algebraic sign functions governing the amplitude collapse are macroscopic projections of the Boolean state operations inherent to the discrete Ramanujan modular lattice of spacetime. Because the scattering space ceases to act as a continuum and behaves as a digital logic gate, the interaction integer-based output proves that the universe limits information processing capacity at extreme kinematic limits. Hydrodynamic Cosmic Censorship at the Quantum Scale By treating the scattering kinematics as a finite-state machine, we unify the discrete nature of gluon interaction with the topological discretization of the quantum vacuum. The Berends-Giele recursion collapses because the discrete spacetime manifold cannot compute further intermediate virtual states, echoing the same regulatory mechanism that prevents the Navier-Stokes hydrodynamic blow-up via the Theory of Finite Systems.

Keywords

Digital Physics, Yang-Mills Theory, Hernández-Valdivia Limit, Berends-Giele Recursion, Spacetime Discretization, Single-Minus Anomaly, Quantum Kinematics, Ramanujan Modular Lattice, Piecewise-Constant Amplitudes, Theory of Finite Systems, Gluon Scattering Amplitudes, Hydrodynamic Cosmic Censorship

  • 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
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!