Background spatial scale and frequency response

The scale–oscillation coupling adopted in Chapter 2; each clock technology still needs microscopic matching. All quantities use one reference calibration.

Theory · FOUNDATIONEquation version 1.0.0

Based on the final manuscript · Chapters 1–2

ASD-WEB-TIME-005

\frac{L(r)}{L_0}=\Omega(r),\qquad\frac{f(r)}{f_0}=\Omega(r)^{-1}

The scale–oscillation coupling adopted in Chapter 2; each clock technology still needs microscopic matching. All quantities use one reference calibration.
Chapter reference: Final consolidated manuscript · Chapter 2, §I.2, Eq. (2.2) · ASD-BOOK-ddbade997b45

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Final consolidated manuscript · Chapter 2, §I.2, Eq. (2.2)

The scale–oscillation coupling adopted in Chapter 2; each clock technology still needs microscopic matching. All quantities use one reference calibration.

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: p0565 · p0566

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §一.2，式（2.2），PDF 第 3 页

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