ASDANISOTROPIC
SPACE DYNAMICS
中文AI Researcher
THE ASD FRAMEWORK
ASDTheory中文
ANISOTROPIC SPACE DYNAMICS · OPEN RESEARCH

OP-SD-002 · Equal Propagation Speed Condition

The common vacuum speed is currently effective constitutive matching. Ordered-amplitude feedback in the dual-field candidate can shift the longitudinal low-k speed while leaving the transverse branch at the bare speed.

Theory StatusTheory · OPEN
Mathematical ReviewMathematical review · INCOMPLETE
Overall Evidence StatusEvidence · UNTESTEDConstraints and proposals are recorded separately; no new experimental fit.
Canonical ASDNo · Research notesContinuum foundation; status specified per claim
Module version 1.0.0Reviewed 2026-09-15SD-51779505a476
OP-SD-002 · P1

READY · Ready for stated work

PDENumerical physics
Discuss this task

01Current baseline

The common vacuum speed is currently effective constitutive matching. Ordered-amplitude feedback in the dual-field candidate can shift the longitudinal low-k speed while leaving the transverse branch at the bare speed.

ASD-WEB-SD-008
KLeff=KTeff=ρsc2⟹cL=cT=cK_L^{\rm eff}=K_T^{\rm eff}=\rho_sc^2\quad\Longrightarrow\quad c_L=c_T=c

Constitutive input
Effective constitutive matching in the homogeneous matter-free ASD vacuum; speed follows from coefficient ratios, and nonzero order-parameter feedback requires rematching the full spectrum.
Chapter reference: Ch. 4 (4.9); Ch. 5 (5.1.9) · ASD-BOOK-ddbade997b45

Assumptions and derivation Registry and dependencies Research this equation Discuss this equation
ASD-WEB-SD-027
cL,eff2=cu2−λ2ZuIΘΩΘ2,cT,eff2=cu2c_{L,\rm eff}^2=c_u^2-\frac{\lambda^2}{Z_uI_\Theta\Omega_\Theta^2},\quad c_{T,\rm eff}^2=c_u^2

Mathematical result
For this candidate’s low-k gapless branch; equal bare speeds do not ensure equal effective speeds.
Chapter reference: Ch. 5 (5.6.13) · ASD-BOOK-ddbade997b45

Assumptions and derivation Registry and dependencies Research this equation Discuss this equation

02Work required

Compute all linearized branches and the mixing matrix of the actual vacuum. Separate bare coefficients from those obtained after eliminating internal modes. Seek constitutive, symmetry or microscopic protection of equality and test its survival under perturbations and effective corrections. Define phase, group and front speeds separately from measured arrival times.

03Reviewable deliverable

Necessary/sufficient conditions for cL=cT=cc_L=c_T=c, a stable parameter domain and protection mechanism; otherwise a calculable deviation and its validity scale.

04Limits and dependencies

Nearby light and gravitational-wave arrival speeds do not derive ASD coefficient relations or identify tensor gravitational waves with free scalar longitudinal waves.

Wave propagation

Canonical Source

Anisotropic Space Dynamics

Chapter 4 / 第四章 · Chapter 5 / 第五章

Ch. 4 §4.1; Ch. 5 §§4, 6

Module version
1.0.0
Source snapshot
SD-51779505a476
Content review date
2026-09-15
Source files and checksums

The snapshot hash identifies the source manifest; each source file has its own checksum below.

  • CH4-9587f3c44d39 · 第四章-ASD空间本体论-出版整理稿.docx
    DOCX
    9587f3c44d3974f44e387ed03d92691fa5473a90d7b1c9c989155adf0622849a
  • CH5-ca737ec4e327 · 第五章-出版整理稿.docx
    DOCX
    ca737ec4e327d72c5507bbc8e00295b6e56029c7583ebad8e505cdb9c68c6262

Download source manifest

Prepared from the final Chinese manuscripts identified above. A public reading link for the full manuscript has not yet been released.

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.

RESEARCH LEDGER

Revision history

Website module

Space Dynamics Foundation v1.0 Release Ledger

Editorial record
SOURCE & SCOPE

Chapter 4 / 第四章 · Chapter 5 / 第五章 · Ch. 4 §4.1; Ch. 5 §§4, 6

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-SD-002 · Equal Propagation Speed Condition. OP-SD-002-EN. Version 1.0.0; 2026-09-15. https://asd-physics.org/en/open-problems/space-dynamics/equal-speed. Ch. 4 §4.1; Ch. 5 §§4, 6. Source SD-51779505a476.

Discuss this page Download this page as MDX
CONTINUE RESEARCH

Continue with the assumptions, equations and sources.

Ask ASD ResearcherVerify DerivationChallenge This Argument

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.