EQUATION REGISTRY

Effective volume and rest-mass normalization

R_eff is the equal-deficit-volume radius; C_m=1 is the mass normalization adopted in this chapter.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

ASD-WEB-DYN-003
Veff=∫D(1−qρ) dV0=4πReff33,m0=Cmmdef,Cm=1.\begin{aligned}V_{\mathrm{eff}}&=\int_{\mathcal D}(1-q_\rho)\,\mathrm dV_0=\frac{4\pi R_{\mathrm{eff}}^3}{3},\\m_0&=C_m m_{\mathrm{def}},\qquad C_m=1.\end{aligned}

R_eff is the equal-deficit-volume radius; C_m=1 is the mass normalization adopted in this chapter.
Chapter reference: Final collected manuscript · Chapter 2 §III.1 (2.9) and normalization · ASD-BOOK-ddbade997b45

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Adopted source, conditions and previous versions

Final collected manuscript · Chapter 2 §III.1 (2.9) and normalization

R_eff is the equal-deficit-volume radius; C_m=1 is the mass normalization adopted in this chapter.

Conditions retained in this adoption

  • Uniform background, fixed internal state, 0≤v<c and no net radiation.
  • The LVE directional law and inertial angular weight are separate inputs.
  • m₀=C_m m_def; adopt C_m=1 and universal mass normalization.

Specific unresolved source issues

  • The microscopic core profile, inertial weight and four mass responses still require one common structural solution.

Source locators: p0610 · p0613 · p0615 · p0620 · p0624 · p0628 · p0630 · p0936 · 最终合订稿 · 第二章 §三.1 (2.9)及归一化

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §三,(2.9) and adjacent unnumbered normalization, PDF p. 7

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