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ASDNear-core volume-density deficit
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Near-core volume-density deficit

q_ρ is a near-core volume-density ratio and D an effective core domain; the far-field line-density coefficient Φ is a different quantity.

Theory · DERIVEDEquation version 1.0.0

Based on the final manuscript · Chapter 2

ASD-WEB-DYN-002
mdef=ρ0∫D[1−qρ(x)] dV0m_{\mathrm{def}}=\rho_0\int_{\mathcal D}[1-q_\rho(\mathbf x)]\,\mathrm dV_0

q_ρ is a near-core volume-density ratio and D an effective core domain; the far-field line-density coefficient Φ is a different quantity.
Chapter reference: Final collected manuscript · Chapter 2 §III.1 (2.8) · ASD-BOOK-ddbade997b45

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Final collected manuscript · Chapter 2 §III.1 (2.8)

q_ρ is a near-core volume-density ratio and D an effective core domain; the far-field line-density coefficient Φ is a different quantity.

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 (2.8)

Manuscript SHA-256: ddbade997b45913248e588953b1d27ccb9c7c206c3c8d992d3aef2364a64836e

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FND-3dde8d8e081d · 第二章 §三，(2.8), PDF pp. 6–7

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Subsequent equationEffective volume and rest-mass normalizationASD-WEB-DYN-003DocumentMicroscopic source and macroscopic longitudinal structureDocumentDynamics · Inertia and MomentumDocument惯性构成与能量、质量的统一归一化 · Chinese original
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