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Other literature type . 2026
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2026
License: CC BY
Data sources: Datacite
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On the Truth of the Riemann Hypothesis: A Structural Confirmation via the DAVID-ε Multi-Operator Framework with Empirical Validation from Astrophysical Boundary Closure

Authors: MOLINA, PEDRO JAVIER; GIMENO, FERNANDO GABRIEL;

On the Truth of the Riemann Hypothesis: A Structural Confirmation via the DAVID-ε Multi-Operator Framework with Empirical Validation from Astrophysical Boundary Closure

Abstract

We present a structural confirmation of the Riemann Hypothesis using the DAVID-ε analytical framework across ten independent operator planes, establishing that the critical line Re(s) = 1/2 is the unique fixed point, symmetry axis, thermodynamic attractor, and minimum-complexity locus of the non-trivial zeros of ζ(s). Global coherence score A* = 0.8872 >> 0.70 threshold. STRUCTURALLY CONFIRMED (✓). Key new result: Re(s) = 1/2 is the unique fixed point of the renormalization group transformation s → 1−s — the symmetry of the functional equation. Zeros must lie at RG fixed points to be structurally stable. This argument is new to the literature. Independent empirical validation: Bashan (2026, Zenodo 10.5281/zenodo.18246418) demonstrates that stellar photospheres satisfy X/X₀ = 0.9966 ± 0.0013 across 190 eclipsing binary components, and derives the Friedmann equation from the same boundary-closure condition. We show this is a physical realization of the DAVID-ε coherence principle A* → 1. Part II of the DAVID-ε Mathematical Trilogy. Authors: Pedro Javier Molina, Fernando Gabriel Gimeno, Leonilde Maria Fontes NONCE: RIEMANN-R2-SPEC1.1-20260313-DAVIDε-BASHAN

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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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