ANISOTROPIC SPACE DYNAMICS · OPEN RESEARCH

Microscopic source and macroscopic longitudinal structure

Compute longitudinal source strength, inertia and external response from one stable matter structure, matching the dimensionless coupling in G₀ = ξ_G c²/(ρ₀ℓ₀²). Keep line density Φ, volume density ρ_s and near-core q_ρ distinct.

Based on the final manuscript · Chapter 2

TheoryTheory · OPENReviewMathematical review · OPEN REVIEWEvidenceEvidence · UNTESTEDCanonicalNoStatus, review and sources
OP-GRV-004 · P1

NEEDS THEORY · Needs theory

PDEAstrophysics
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01Task

An open research task extracted from the final Chapter 2 manuscript, not a new canonical derivation.

02Current state

Finite near-core density deficit, far-field flux and four-way mass matching are already defined, and (2.7c) supplies the gravitational-coupling scale combination. The next step is to compute these responses in one stable structure, rather than add an unrelated mass parameter.

ASD-WEB-GRV-005
∇2Ψ=4πG0ρg,∇2X=8πG0c2ρg,M=c28πG0∮∇X⋅dS\nabla^2\Psi=4\pi G_0\rho_g,\quad\nabla^2X=\frac{8\pi G_0}{c^2}\rho_g,\quad M=\frac{c^2}{8\pi G_0}\oint\nabla X\cdot d\mathbf S

Constitutive input
Weak static source equations in reference coordinates, not a closed dynamical strong-field master equation.
Chapter reference: Final collected manuscript · Chapter 2 §II.2 (2.7a)—(2.7b) · ASD-BOOK-ddbade997b45

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

Constitutive input
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

ASD-WEB-DYN-023
mE=mi=mg(a)=mg(p)=m0m_E=m_i=m_g^{(a)}=m_g^{(p)}=m_0

Normalization
Energy, inertial, active and passive gravitational mass are different responses of one structure; the chapter adopts universal coupling.
Chapter reference: Final collected manuscript · Chapter 2 §III.5 (2.24c) · ASD-BOOK-ddbade997b45

ASD-WEB-GRV-047
G0=ξGc2ρ0ℓ02G_0=\xi_G\frac{c^2}{\rho_0\ell_0^2}

Constitutive input
ρ₀ is background volume density, ℓ₀ an intrinsic length and ξ_G dimensionless; dimensional organization alone does not determine the coupling efficiency.
Chapter reference: Final collected manuscript · Chapter 2 §II.3 (2.7c) · ASD-BOOK-ddbade997b45

03Required work

Compute longitudinal source strength, inertia and external response from one stable matter structure, matching the dimensionless coupling in G₀ = ξ_G c²/(ρ₀ℓ₀²). Keep line density Φ, volume density ρ_s and near-core q_ρ distinct.

04Deliverable and boundary

A convergent near-core integral, exterior flux solution, energy/inertial/active/passive mass matching and coupling-coefficient calculation.

Do not integrate the external 1/r line-stretch field as a finite whole-space volume-density deficit; do not assign an electron or FCC source merely to complete a diagram.

05Sources and collaboration

Final collected manuscript · Chapter 2 §二.1—3、§三.1与5 (2.7b)—(2.9)、(2.24c)

Gravity · Tests

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STATUS & REVIEW
Theory StatusTheory · OPEN
Mathematical ReviewMathematical review · OPEN REVIEW
Overall Evidence StatusEvidence · UNTESTEDOpen research task; no new confirmed observational result.
Canonical ASDNo · Website guideResearch task from Chapter 2
Mathematical Review Note

Results are conditional on the stated scale, path and coupling inputs; mathematical reproduction and microscopic closure are distinct.

Read the formal review items
Adopted source, conditions and previous versions

§II.1—3, §III.1 and 5 (2.7b)—(2.9), (2.24c)

Update open-problem progress with established results; retain problem IDs and unresolved tasks.

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

  • Strong-field, microscopic and full apparatus closure remain task-specific research.

Source locators: p0582 · p0595 · p0602 · p0610 · p0614 · p0672 · p0936

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 · Chapter 2 / 第二章 · §II.1–3, (2.7b)–(2.7c); §III.1,5, pp. 4–10

PREF-125df9543371 · 序章.pdf
125df9543371f89656a2c29d552e1166e5edcc9ff5f6ec1ef1e438c7688d6ec5

CH1-46d43c8c39bf · 第一章(2).pdf
46d43c8c39bfd47f06ad699a6780e1142adc14bdd3520e2d5603d37a696cd9e9

CH2-f9598318d123 · 第二章-ASD理论-修订书稿 (2).pdf
f9598318d123c1f85a7d720af9cecbed8392e0b399910e3f9bfb675d49494709

RELATIONSHIP INDEX

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These links index inputs and research relationships. The completion status of each derivation is specified in its text. Untranslated supporting pages open in Chinese.

RESEARCH LEDGER

Revision history

SOURCE & SCOPE

Chapter 2 · §II.1—3, §III.1 and 5 (2.7b)—(2.9), (2.24c)

This research task is based on the cited final Chinese manuscript. It is not a new canonical result. Both languages use the same source snapshot; original equation numbers and website IDs remain distinct.

Knowledge scope
CITATION & SOURCE FILE

ASD: Microscopic source and macroscopic longitudinal structure. OP-GRV-004-EN. Version 1.0.0; 2026-10-24. https://asd-physics.org/en/open-problems/gravity/source-coupling. §II.1—3, §III.1 and 5 (2.7b)—(2.9), (2.24c). Source ASD-BOOK-ddbade997b45.

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