EQUATION REGISTRY

Circular critical-ray condition

Conditional on the stated inputs and domain. Manuscript numbering is separate from the website ID.

Theory · EFFECTIVE MODELEquation version 1.0.0

Based on the final manuscript · Chapter 2

ASD-WEB-GRV-044
B=r1−2ℓg/r,B′=1−3ℓg/r(1−2ℓg/r)3/2=0\mathcal B=\frac{r}{\sqrt{1-2\ell_g/r}},\quad\mathcal B^\prime=\frac{1-3\ell_g/r}{(1-2\ell_g/r)^{3/2}}=0

Conditional on the stated inputs and domain. Manuscript numbering is separate from the website ID.
Chapter reference: Final collected manuscript · Chapter 2 §V.3 (2.69) · ASD-BOOK-ddbade997b45

Source and ID

ASD-WEB-GRV-044 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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Adopted source, conditions and previous versions

Final collected manuscript · Chapter 2 §V.3 (2.69)

Conditional on the stated inputs and domain. Manuscript numbering is separate from the website ID.

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: p0784 · p0786 · p0794 · p0796 · p0802 · p0807 · p0820 · p0822 · p0831 · p0840 · p0849 · p0856 · p0876 · p0878 · p0886 · p0891 · p0899 · p0937 · 最终合订稿 · 第二章 §五.3 (2.69)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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Previous source, retained as history

FND-3dde8d8e081d · 第二章 / Chapter 2 · (2.69), p. 20

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