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ANISOTROPIC SPACE DYNAMICS · OPEN RESEARCH

OP-MAT-007 · Creation and Annihilation Dynamics

Charge/energy–momentum accounting and conditional thresholds are available; core formation/unlocking and rates are unsolved.

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
Module version 1.0.0Reviewed 2026-09-16MAT-d1034a344d58
OP-MAT-007 · P2

NEEDS THEORY · Needs theory

PDENumerical physics
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01Existing basis

Charge/energy–momentum accounting and conditional thresholds are available; core formation/unlocking and rates are unsolved.

ASD-WEB-MAT-020
γ+Z→e−+e++Z,S=M2c4+2Mc2Eγ,Eγ,th=2mec2(1+me/M)\gamma+Z\to e^-+e^++Z,\quad\mathcal S=M^2c^4+2Mc^2E_\gamma,\quad E_{\gamma,\rm th}=2m_ec^2(1+m_e/M)

Mathematical result
Z is initially at rest and retains mass M. Assumes E²=m²c⁴+c²p² and Eγ=c|pγ|; the threshold does not determine a rate.
Chapter reference: Ch. 4 (4.72)–(4.74) · ASD-BOOK-ddbade997b45

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ASD-WEB-MAT-021
S=2E1E2(1−cos⁡ϑ)≥4me2c4\mathcal S=2E_1E_2(1-\cos\vartheta)\ge4m_e^2c^4

Mathematical result
Uniform background and two free incoming photons; head-on E1E2≥me²c⁴, co-propagating photons fail.
Chapter reference: Ch. 4 (4.75)–(4.77) · ASD-BOOK-ddbade997b45

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ASD-WEB-MAT-023
Ein=Eout,γ+Eout,other+Erecoil+ΔEbackgroundE_{\rm in}=E_{{\rm out},\gamma}+E_{{\rm out},{\rm other}}+E_{\rm recoil}+\Delta E_{\rm background}

Definition
Use one system boundary without double counting; this does not imply a mandatory undetected longitudinal-energy branch.
Chapter reference: Ch. 4 (4.81) · ASD-BOOK-ddbade997b45

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02Required work

Use an action admitting stable particles; specify initial/final states and background. Track topology density and all energy fluxes, reconnection and amplitude paths. Use one coupling for forward/reverse channels, angular distributions and polarization.

03Reviewable deliverable

Reproducible time evolution, conservation errors, threshold/recoil checks, normalized rates or cross sections, detector response and the energy budget of any extra longitudinal branch.

04Limits and dependencies

Zero total topology does not guarantee a reaction; one photon cannot form a free pair in a uniform nonexchanging vacuum.

Matter framework · Acceptance requirements

Canonical Source

Anisotropic Space Dynamics

Chapter 4 / 第四章 · Chapter 5 / 第五章

Ch. 4 §4.2; Ch. 5 §6

Module version
1.0.0
Source snapshot
MAT-d1034a344d58
Content review date
2026-09-16
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.

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SOURCE & SCOPE

Chapter 4 / 第四章 · Chapter 5 / 第五章 · Ch. 4 §4.2; Ch. 5 §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.

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CITATION & SOURCE FILE

ASD: OP-MAT-007 · Creation and Annihilation Dynamics. OP-MAT-007-EN. Version 1.0.0; 2026-09-16. https://asd-physics.org/en/open-problems/matter/creation-annihilation. Ch. 4 §4.2; Ch. 5 §6. Source MAT-d1034a344d58.

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