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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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Unified Quark Mass Formula from the KMS Boltzmann Cascade, Casimir Barriers, and Shannon Saturation in R12

Authors: Lim, Han-Jun;

Unified Quark Mass Formula from the KMS Boltzmann Cascade, Casimir Barriers, and Shannon Saturation in R12

Abstract

Abstract A single formula mq = C(N, 3) γ1 exp(−Sq) with C(12, 3) = 220 (information budget) and γ1 (Riemann anchor) reproduces all three light quark masses (u, d, s) at 0.1–2.4% accuracy with zero free parameters. The suppression action Sq is a KMSBoltzmann cascade: Sq = (EQCD+ P2 C barrier2)/Tweak, where EQCD = b0 = 7 (QCD beta coefficient = number of running channels), Tweak = dim(fund, SU(2)) = 2 (weak-sector KMS temperature), and C barrier2 are Casimir invariants accumulatedat each transition. The Casimir selection rule determines barriers: inter-generation transitions (topological, winding change) cost C2(adj, SU(3)) = 3; intra-generation transitions (algebraic, isospin rotation) cost C2(fund, SU(2)) = 3/4. The formula automatically recovers ms/md = exp(C2(8)) = exp(3) (Paper XXXIV) from Sd−Ss = 3 and yields a new identity C2(adj, SU(3)) = (N −Nf )/2 = (12−6)/2 = 3, linking the colour Casimir to the axis–flavour gap. The rendering ceiling Lγ1 = 220γ1 ≈ 3110 MeV coincides with m(J/ψ) = 3097 MeV (0.4%), identifying the J/ψ charmonium ground state as the light–heavy transition point.

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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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