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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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AQM Condensed-Matter Coherence-Protection Factor, Global Scaling Law, and Independent Validation of Superconducting Critical Temperature AQM Paper XXI

Authors: chen, JUN;

AQM Condensed-Matter Coherence-Protection Factor, Global Scaling Law, and Independent Validation of Superconducting Critical Temperature AQM Paper XXI

Abstract

This paper proposes an auditable effective scaling law for condensed-matter ap plications of Algebraic Quantum Morphogenesis (AQM). The macroscopic conden sation coherence of a material is not determined only by a pairing scale; rather, it is determined by the product of a base pairing temperature and an AQM coherence protection factor. We define ΠAQM = C 2.18 ( E eff E 0 ) 1/2 (1 − δ), where C is the topological-orbital coherence degree, Eeff is the effective elastic spec tral stiffness, and δ is an independently specified loss factor due to disorder, strain, phase separation, or pair breaking. The superconducting critical temperature is written as Tc pred = κfamTpairΠAQM. Here Tpair is a family-level or material-level base pairing temperature obtained from phonon, Debye/Eliashberg, spin-fluctuation, orbital-fluctuation, flat-band, or inter face electron-phonon input. The factor κfam is fixed for a material family and is not allowed to be tuned material by material. AQM therefore does not claim to unify all absolute Tc values with a single global constant; instead, it proposes a common law for how a material protects macroscopic coherence after pairing is available. A seven-sample audit set with independent inputs (Pb, Nb, Nb3Sn, MgB2, FeSe, H3S, and LaH10) gives a mean relative error of about 4%, a maximum relative error of about 4.7%, and R2 ≃ 0.997 in the normalized audit table. The paper also spec ifies extension protocols for cuprates, nickelates, heavy-fermion materials, moire systems, and interface superconductors, but does not include such complex systems 1in the main statistics unless C, Eeff, δ, and Tpair are supplied independently of the observed Tc. The paper is an effective-theory and independent-audit manuscript, not an unconditional microscopic proof for all superconductors.

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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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