EQUATION REGISTRY

Complete first post-Newtonian expansion

Website 1PN expansion of final (2.27) for U/c² and v²/c²≪1; final (2.28) instead defines canonical momenta.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

ASD-WEB-GRV-025
Lm0=−c2+v22+U+1c2(v48+Uv22+Uvr2+U22)+O(c−4)\frac{\mathcal L}{m_0}=-c^2+\frac{v^2}2+U+\frac1{c^2}\left(\frac{v^4}8+\frac{Uv^2}2+Uv_r^2+\frac{U^2}2\right)+O(c^{-4})

Website 1PN expansion of final (2.27) for U/c² and v²/c²≪1; final (2.28) instead defines canonical momenta.
Chapter reference: Final collected manuscript · Chapter 2 §IV.2 (2.27) website 1PN expansion; not final equation (2.28) · ASD-BOOK-ddbade997b45

Source and ID

ASD-WEB-GRV-025 is the stable website equation ID. It retains existing links and does not replace the manuscript reference. Use the copy button to obtain LaTeX.

Return to premises and derivation
Adopted source, conditions and previous versions

Final collected manuscript · Chapter 2 §IV.2 (2.27) website 1PN expansion; not final equation (2.28)

Website 1PN expansion of final (2.27) for U/c² and v²/c²≪1; final (2.28) instead defines canonical momenta.

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: p0682 · p0694 · p0698 · p0701 · p0703 · p0705 · p0715 · p0717 · p0719 · p0730 · p0732 · p0779 · 最终合订稿 · 第二章 §四.2 (2.27)的网页1PN展开;不是最终式(2.28)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

Download source identity manifest

The manifest identifies the source; it is not the complete manuscript. Adopting this source does not upgrade evidence or grant a new licence.

Previous source, retained as history

FND-3dde8d8e081d · 第二章 / Chapter 2 · (2.28), pp. 12–13

Discuss this page Browse all equations