ANISOTROPIC SPACE DYNAMICS · OPEN RESEARCH

OP-MAT-003 · Mass Generation

The final manuscript separately defines rest-energy mass, translational inertia, active gravitational source and passive response, and states the source-coupling and normalization matching needed for equality. Local divergence coupling has zero exterior density response; an independent frame-stretch extension supplies an integrable 1/r far field.

Based on the final manuscript · 第五章

TheoryTheory · OPENReviewMathematical review · INCOMPLETEEvidenceEvidence · UNTESTEDCanonicalNoStatus, review and sources
OP-MAT-003 · P1

NEEDS THEORY · Needs theory

PDENumerical physics
Discuss this task

01Established results

The final manuscript separately defines rest-energy mass, translational inertia, active gravitational source and passive response, and states the source-coupling and normalization matching needed for equality. Local divergence coupling has zero exterior density response; an independent frame-stretch extension supplies an integrable 1/r far field.

ASD-WEB-MAT-012
mE=mI=mG=mP=m\boxed{m_E=m_I=m_G=m_P=m}

Normalization
Common matching requirement (4.36): the same solution, parameters and normalization must independently produce four equal masses. Equality signs do not promote the unfinished microscopic calculation to a proof.
Chapter reference: Final collected manuscript, Chapter 4, Eq. (4.36) and its matching condition; Chapter 5, Eq. (5.6.29) · ASD-BOOK-ddbade997b45

ASD-WEB-SD-033
ME=E0/c2,Lcoll(2)=−E0+12MijX˙iX˙j,Mg=c2Glim⁡r→∞rφ(r)=∫Jg d3r4πGZφ,qg=−∂Etest∂φ∣φ=0,Mp=qg/c2,∫Jg d3r=E0, Mg=ME ⟹ Zφ=c24πG,ME=Mi=Mg=Mp(matching requirement).\begin{aligned}M_E&=E_0/c^2,\quad L_{\rm coll}^{(2)}=-E_0+\tfrac12M_{ij}\dot X_i\dot X_j,\\M_g&=\frac{c^2}{G}\lim_{r\to\infty}r\varphi(r)=\frac{\int\mathcal J_g\,d^3r}{4\pi GZ_\varphi},\\q_g&=-\left.\frac{\partial E_{\rm test}}{\partial\varphi}\right|_{\varphi=0},\quad M_p=q_g/c^2,\\\int\mathcal J_g\,d^3r=E_0,\ M_g=M_E&\ \Longrightarrow\ Z_\varphi=\frac{c^2}{4\pi G},\\M_E=M_i=M_g=M_p&\quad\text{(matching requirement).}\end{aligned}

Normalization
Define all four masses from the same complete core–field system. Equality and the Zφ condition require source–energy matching, not ontology alone. Setting coefficients by observed G is effective normalization.
Chapter reference: Ch. 5 (5.6.26)–(5.6.29) · ASD-BOOK-ddbade997b45

02Research still required

Compute all four masses independently on one localized solution and motion family, with one accounting of core, accompanying field, interaction and boundary contributions. Retain the full Legendre transform when a source depends on velocity, and test whether one microscopic parameter set yields the required normalization.

03The next reproducible deliverable

Deliver integrals or response calculations for all four definitions, units, convergence checks and differences; identify which of G and the source coefficients are inputs and which are independently calculated.

04Scope and research links

m=E/c² defines energy mass; fixing a normalization with measured G does not derive G. Distinct definitions do not imply necessarily unequal masses.

mass · source coupling · mass · longitudinal transverse coupling · matter

On this page
STATUS & REVIEW
Theory StatusTheory · OPEN
Mathematical ReviewMathematical review · INCOMPLETE
Overall Evidence StatusEvidence · UNTESTEDNOT YET UNIQUELY TESTED · observed particle properties are requirements, not validation of candidate topology.
Canonical ASDNo · Research notesCanonical research framework · not a closed particle theory
Adopted source, conditions and previous versions

第五章 §6.7 式(5.6.26)—(5.6.29);§6.4 式(5.6.14)—(5.6.17)

已得结果、继续研究任务与下一份交付;保留原问题 ID、优先级及状态。

Conditions retained in this adoption

  • m=E/c² defines energy mass; fixing a normalization with measured G does not derive G. Distinct definitions do not imply necessarily unequal masses.

Source locators: p2248 · p2251 · p2254 · p2284 · p2294

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

MAT-d1034a344d58 · Ch. 4 §4.2; Ch. 5 §6

CH4-9587f3c44d39 · 第四章-ASD空间本体论-出版整理稿.docx
9587f3c44d3974f44e387ed03d92691fa5473a90d7b1c9c989155adf0622849a

CH5-ca737ec4e327 · 第五章-出版整理稿.docx
ca737ec4e327d72c5507bbc8e00295b6e56029c7583ebad8e505cdb9c68c6262

RELATIONSHIP INDEX

Position within the framework

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

SOURCE & SCOPE

第五章 · 第五章 §6.7 式(5.6.26)—(5.6.29);§6.4 式(5.6.14)—(5.6.17)

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: OP-MAT-003 · Mass Generation. OP-MAT-003-EN. Version 1.0.0; 2026-10-24. https://asd-physics.org/en/open-problems/matter/mass-generation. 第五章 §6.7 式(5.6.26)—(5.6.29);§6.4 式(5.6.14)—(5.6.17). Source ASD-BOOK-ddbade997b45.

Discuss this page Download this page as MDX
CONTINUE RESEARCH

Continue with the assumptions, equations and sources.

These links carry this page and its source version into the research workspace. Each request pins its knowledge snapshot. Model availability is shown in the workspace; retrieval and private export remain available.