Pith. sign in
def

m_d_exp

definition
show as:
module
IndisputableMonolith.Verification.MassComparison
domain
Verification
line
65 · github
papers citing
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plain-language theorem explainer

Experimental down-quark mass anchor used in the quarantined PDG comparison layer: 4.67 MeV in the MS-bar scheme at 2 GeV. Anyone checking RS quark-mass residuals against PDG 2024 cites this constant. It is a bare real literal, not a derived claim.

Claim. The PDG 2024 experimental down-quark mass (MS-bar at $2\,\mathrm{GeV}$) is taken to be $m_d^{\mathrm{exp}} = 4.67\,\mathrm{MeV}$.

background

The MassComparison module holds PDG 2024 experimental masses side-by-side with Recognition Science predictions. It is explicitly quarantined from the certified surface: experimental numbers are external inputs, and the RS side still depends on the anchor/yardstick system on the $\varphi$-ladder.

RS predicts a species mass as $\mathrm{yardstick}(\mathrm{sector})\times\varphi^{r_0+r_{\mathrm{species}}}$, with coherence energy $E_{\mathrm{coh}}=\varphi^{-5}$. This definition supplies only the experimental counterpart for the down quark, quoted from Navas et al., Phys. Rev. D 110, 030001 (2024), as $4.67(48),\mathrm{MeV}$ in the MS-bar scheme at $2,\mathrm{GeV}$. Sibling constants cover $e,\mu,\tau,u,s$ and their one-sigma widths.

proof idea

No proof. The declaration is a one-line real definition binding the literal $4.67$ as the experimental central value. Uncertainty lives in the sibling m_d_exp_sigma.

why it matters

Gives the fixed experimental reference against which any RS down-quark mass prediction is residual-checked inside this verification module. Without a shared PDG anchor, machine-checked mass tables cannot report dimensionless pull or band membership. It does not itself touch the forcing chain (T0–T8), RCL, or the $\varphi$-ladder derivation; it only closes the comparison half of the ledger. Downstream residual or band lemmas in the same module would consume it as the experimental baseline.

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