Spatial length law

The radial law is constitutive; areal radius already determines the tangential arc without an extra Ω.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 2

d\ell_s^2=X^{-1}dr^2+r^2d\varphi^2

The radial law is constitutive; areal radius already determines the tangential arc without an extra Ω.
Chapter reference: Final collected manuscript · Chapter 2 §IV.1 (2.25) · ASD-BOOK-ddbade997b45

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ASD-WEB-GRV-006 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

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Final collected manuscript · Chapter 2 §IV.1 (2.25)

The radial law is constitutive; areal radius already determines the tangential arc without an extra Ω.

Conditions retained in this adoption

Fixed G₀; isolated, static, spherically symmetric, uncharged exterior.
Areal radius, actual spatial length and reference optical path are defined separately.
Weak-field perturbation, slow-rotation far field and boundary statistics each have separate conditions.

Specific unresolved source issues

Microscopic source matching, dynamical strong fields and full boundary-state dynamics remain open.

Source locators: p0541 · p0545 · p0566 · p0588 · p0591 · p0593 · p0602 · p0682 · p0687 · p0694 · p0934 · p0935 · p0937 · 最终合订稿 · 第二章 §四.1 (2.25)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 / Chapter 2 · (2.25), p. 11

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