Nondegenerate orbital observable and second-order review
First determine whether the current model differs at all. If new independent constitutive inputs are needed, identify their physical origin. Match radius, coordinates, mass, distance and orbital parameters before testing second-order or other lowest-order nondegenerate observables.
Based on the final manuscript · Chapter 2
READY · Ready for stated work
Discuss this task01Task
An open research task extracted from the final Chapter 2 manuscript, not a new canonical derivation.
02Current state
The final manuscript specifies the full spherical action, canonical momenta and orbit equation; first-order results coincide under the mathematically matching Schwarzschild exterior construction. The next deliverable should first establish whether a nonzero difference survives the same references and parameter mapping. A zero difference is also a reproducible result.
Constitutive input
In addition to the free action, adopt universal static energy conversion L dt = L₀(v*) Φ dt.
Chapter reference: Final collected manuscript · Chapter 2 §IV.2 (2.27) · ASD-BOOK-ddbade997b45
Mathematical result
Conditional on the stated inputs and domain. Manuscript numbering is separate from the website ID.
Chapter reference: Final collected manuscript · Chapter 2 §IV.3 (2.36) · ASD-BOOK-ddbade997b45
Mathematical result
κ is known only at first order; re-expanding 2π/(1−κ) is not a complete second-order derivation.
Chapter reference: Final collected manuscript · Chapter 2 §IV.3 (2.42) · ASD-BOOK-ddbade997b45
03Required work
First determine whether the current model differs at all. If new independent constitutive inputs are needed, identify their physical origin. Match radius, coordinates, mass, distance and orbital parameters before testing second-order or other lowest-order nondegenerate observables.
04Deliverable and boundary
A complete order expansion, parameter/coordinate mapping, degeneracy analysis and reproducible calculation. Record a null distinction if the difference vanishes.
Re-expanding 2π/(1−κ) with truncated κ cannot supply a full second-order coefficient; a hoped-for distinction is not an existing prediction.
05Sources and collaboration
Final collected manuscript · Chapter 2 §四.2—3 (2.27)—(2.42)、§四末及小结
On this page
Results are conditional on the stated scale, path and coupling inputs; mathematical reproduction and microscopic closure are distinct.
Read the formal review itemsAdopted source, conditions and previous versions
§IV.2—3 (2.27)—(2.42), end of §IV and chapter summary
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: p0694 · p0698 · p0719 · p0732 · p0779 · p0937
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 · §IV.2–3 and conclusion; (2.27)–(2.42), pp. 12–17
PREF-125df9543371 · 序章.pdf125df9543371f89656a2c29d552e1166e5edcc9ff5f6ec1ef1e438c7688d6ec5
CH1-46d43c8c39bf · 第一章(2).pdf46d43c8c39bfd47f06ad699a6780e1142adc14bdd3520e2d5603d37a696cd9e9
CH2-f9598318d123 · 第二章-ASD理论-修订书稿 (2).pdff9598318d123c1f85a7d720af9cecbed8392e0b399910e3f9bfb675d49494709
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.
Revision history
Chapter 2 · §IV.2—3 (2.27)—(2.42), end of §IV and chapter summary
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 scopeASD: Nondegenerate orbital observable and second-order review. OP-GRV-002-EN. Version 1.0.0; 2026-10-24. https://asd-physics.org/en/open-problems/gravity/orbital-discriminator. §IV.2—3 (2.27)—(2.42), end of §IV and chapter summary. Source ASD-BOOK-ddbade997b45.
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.