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ANISOTROPIC SPACE DYNAMICS · OPEN RESEARCH

OP-SD-005 · Longitudinal-Wave Detection

A sourced longitudinal wave equation and flux are available, but no confirmed free longitudinal spatial-wave detection is included. Static gravity, comoving structure and neutrino candidates remain distinct.

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-005 · P2

NEEDS THEORY · Needs theory

Metrology
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01Current baseline

A sourced longitudinal wave equation and flux are available, but no confirmed free longitudinal spatial-wave detection is included. Static gravity, comoving structure and neutrino candidates remain distinct.

ASD-WEB-SD-013
(∂t2−c2∇2)σ=sσ,sσ=−ZL−1∇⋅JL(\partial_t^2-c^2\nabla^2)\sigma=s_\sigma,\quad s_\sigma=-Z_L^{-1}\nabla\cdot\mathbf J_L

Mathematical result
Minus the divergence of displacement dynamics; the source is not an arbitrarily specified mass density.
Chapter reference: Ch. 5 (5.4.6) · ASD-BOOK-ddbade997b45

Assumptions and derivation Registry and dependencies Research this equation Discuss this equation
ASD-WEB-SD-012
EA=12ZA(∣∂tuA∣2+c2∣∇uA∣2),SA,i=−ZAc2∂tuA,a∂iuA,a,∂tEA+∇⋅SA=JA⋅∂tuA.\begin{aligned}\mathcal E_A&=\tfrac12Z_A(|\partial_t\mathbf u_A|^2+c^2|\nabla\mathbf u_A|^2),\\S_{A,i}&=-Z_Ac^2\partial_tu_{A,a}\partial_i u_{A,a},\\\partial_t\mathcal E_A+\nabla\cdot\mathbf S_A&=\mathbf J_A\cdot\partial_t\mathbf u_A.\end{aligned}

Mathematical result
Component indices are summed, cA=c; conservation permits geometric spreading.
Chapter reference: Ch. 5 (5.4.3)–(5.4.4) · ASD-BOOK-ddbade997b45

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

02Work required

Use the same source coupling to derive excitation, propagation, receiver interaction and actual readout. Calculate shared clock/ruler response, electromagnetic/acoustic/thermal backgrounds and noise spectra. Select a frequency, phase or polarization dependence comparable with established theories. Fix independent parameters before estimating sensitivity and exclusions.

03Reviewable deliverable

An experimental proposal with a source–propagation–receiver transfer function, noise budget, reference-cancellation test and analysis rule stating what would distinguish or constrain the model.

04Limits and dependencies

Weak coupling is not zero energy or unlimited penetration. Without a detector model, do not invent sensitivities, event rates or a verification label.

Longitudinal waves

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

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

RELATIONSHIP INDEX

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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-005 · Longitudinal-Wave Detection. OP-SD-005-EN. Version 1.0.0; 2026-09-15. https://asd-physics.org/en/open-problems/space-dynamics/longitudinal-wave-detection. Ch. 4 §4.1; Ch. 5 §§4, 6. Source SD-51779505a476.

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