Results Calibration Constant Page ready calibration-cascade, constants-ledger, numerical-predictions This page displays the source-mapped mass-ratio route that feeds the electron-mass readout. It is not a standalone metrology claim.
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Level 1+ Mass Ratio R1

This page displays the source-mapped mass-ratio route that feeds the electron-mass readout. It is not a standalone metrology claim.

L1 τ-effective ready rendered diagram
Boundary. This page displays the source-mapped mass-ratio route that feeds the electron-mass readout. It is not a standalone metrology claim. This page does not recompute CODATA 2022 values or change the existing numerical prediction artifact.
Scope label. τ-effective means internal τ-derived or τ-effective construction/readout. Metadata keeps the stable value tau_effective.

Generated constant/readout inspection page from the Corpus Calibration Cascade projection.

Dependency summary: ι_τ, α

cr1 · R1

Formula

R1 = ι_τ^-7 - (√3 + π^3α^2)ι_τ^-2

TeX
R_1 = \iota_\tau^{-7}-(\sqrt{3}+\pi^3\alpha^2)\iota_\tau^{-2}
Plain-text fallback
R1 = iota_tau^-7 - (sqrt(3) + pi^3 * alpha^2) * iota_tau^-2
Unit context
dimensionless

Dependency Diagram

ι_τ feeds the Epstein and capacity terms; α feeds the holonomy term; the bracket and Epstein term converge into R1.
Directed dependency cascade for R1 from the Calibration Cascade metadata.
Mermaid source text equivalent 
flowchart LR
  iota["ι_τ"] --> epstein["Epstein zeta route: ι_τ^-7"]
  iota --> capacity["Lemniscate capacity: √3 ι_τ^-2"]
  alpha["α"] --> holonomy["Holonomy correction: π^3 α²"]
  capacity --> bracket["√3 + π³α²"]
  holonomy --> bracket
  epstein --> R1["R1"]
  bracket --> R1
  R1 --> me["m_e = m_n/R1"]

Text equivalent. ι_τ feeds the Epstein and capacity terms; α feeds the holonomy term; the bracket and Epstein term converge into R1.

Dependencies

Dependency node Display label
iota-tau ι_τ
fine-structure-alpha α

Source And Review Anchors

Source chapter
book-iv-mass-ratio-chain · eq:R1
Registry refs
IV.T381
TauLib refs
TauLib.BookIV.Calibration.MassRatioFormula
Comparison dataset
No comparison dataset recorded for this constant page.

Prediction links

  • /results/predictions/

Falsification links

  • /results/falsifications/

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