EQUATION REGISTRY

Equivalent phase path of a cycle

For an atomic standard, S_cyc is a phase-length scale, not an electron orbit or an internal photon round trip.

Theory · FOUNDATIONEquation version 1.0.0

Based on the final manuscript · Chapters 1–2

τ=Scycc,Scyc=cf\tau=\frac{S_{\mathrm{cyc}}}{c},\qquad S_{\mathrm{cyc}}=\frac cf

For an atomic standard, S_cyc is a phase-length scale, not an electron orbit or an internal photon round trip.
Chapter reference: Final consolidated manuscript · Chapter 2, §I.1, phase-scale discussion and Eq. (2.1) · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Final consolidated manuscript · Chapter 2, §I.1, phase-scale discussion and Eq. (2.1)

For an atomic standard, S_cyc is a phase-length scale, not an electron orbit or an internal photon round trip.

Conditions retained in this adoption

  • Common reference calibration; static constitutive relation Φ=Ω⁻¹
  • Exact ratio requires 1+2Ψ/c²>0; weak-field expansion also requires |Ψ|/c²≪1

Specific unresolved source issues

  • FINAL-CH1-CLOCK-PROTOCOL

Source locators: p0558 · p0562

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

FND-3dde8d8e081d · 第二章 §一.1,PDF 第 2 页;式(2.1)

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