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

Published May 23, 2026 | Version v1

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This paper proposes an auditable effective scaling law for condensed-matter

physics within AQM: macroscopic condensation coherence in a material is not de

termined solely by the pairing scale, but by the product of a basic pairing tem

perature scale and the AQM coherence protection factor. The factor is ΠAQM =

C 2.18(Eeff/E0) 1/2 (1 − δ), where C is topological-orbital coherence, Eeff is effective

elastic spectral stiffness, and δ is an independent loss factor due to disorder, strain,

phase separation, and pair-breaking mechanisms. The superconducting critical tem

perature is written as Tc pred = κfamTpairΠAQM. The paper emphasizes that AQM

does not use a single global constant to unify absolute Tc for all superconductors.

Instead, it unifies the ability of a material to protect macroscopic coherence after

pairing forms. The core audit set uses seven representative samples with indepen

dent inputs: Pb, Nb, Nb3Sn, MgB2, FeSe, H3S, and LaH10. The V1 audit table

gives mean relative error about 4%, maximum error about 4.7%, and R2 ≃ 0.997.

Extensions are given for cuprates, nickelates, heavy fermions, moire systems, and

interface superconductors. The paper is an effective theory and data-audit proposal,

not an unconditional prediction of all superconducting critical temperatures.

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