ANISOTROPIC SPACE DYNAMICS · CANONICAL THEORY

Gravity · Experimental Relations and Tests

Distinguish reproduced results, physical reinterpretations and proposed discriminating tests.

Theory StatusTheory · EFFECTIVE MODEL

Mathematical ReviewMathematical review · CONDITIONAL

Overall Evidence StatusEvidence · UNTESTEDEvidence is assigned per observable in the tests matrix. Canonical is a source designation, not experimental proof.

Canonical ASDYes · canonical theory baselineChapter 2 · macroscopic constitutive theory

Mathematical Review Note

Results are conditional on the stated scale, path and coupling inputs; mathematical reproduction and microscopic closure are distinct.

Read the formal review items

Module version 1.0.0Reviewed 2026-09-14FND-3dde8d8e081d

01Reading the Matrix

Compare the same observable, parameter calibration, endpoints and approximation order. REPRODUCED, REINTERPRETED and POTENTIALLY DISCRIMINATING are relationship categories; evidence status is separate. Identical formulas are not independent experimental verification.

02Gravity Tests Matrix

Observable	ASD	GR	Same numerically?	Distinguishing?
Static redshift	$\Phi_2/\Phi_1$ , weak field $1+\Delta\Psi/c^2$	Same static ratio	Yes, matching calibration	NO
Weak deflection	$4\ell_g/b$	Same at this order	Yes	NO at weak field
Shapiro	$2G_0M/c^3$ times endpoint logarithm	Same at this order	Yes, fixed endpoints	NO at this order
Periapsis advance	$6\pi\ell_g/p_{\rm orb}$	Same at this order	Yes, first-order central field	NO; higher order need not differ
Static photon sphere / shadow	$3\ell_g$ / $3\sqrt3\ell_g$	Same static scales	Yes, adopted exterior	NO for these scales
Boundary, rotation, nondegenerate terms	Dynamical closure pending	Matching observing model needed	TBD	Potential; no difference yet

03REPRODUCED

REPRODUCEDEvidence · CONSISTENT

Weak-field light deflection

Chapter 2 §IV.5, (2.43)–(2.50); JPL / IAU; Will (2014)

READY · Ready for stated work

Ready to recalculate the stated limited model; not a completed distinct prediction.

ASD-PRED-006

Observed result: Deflection is an established observable; the chapter calculates about 1.75 arcseconds for solar grazing.
ASD calculation / interpretation: Integration of the full optical gradient gives 4G₀M/(c²b).
Established-theory result: The same result for matching distant endpoints and weak-field order.
Numerically different?: NO — same order.
Interpretation different?: YES — spatial stretching and phase-path selection.
Does this distinguish ASD?: NO — weak field.
Current status: Analytic and chapter-number reproduction; no new optical/radio data fit.
Required precision: No nonzero model difference is defined, hence no precision threshold.

REPRODUCEDEvidence · CONSISTENT

Shapiro / Cassini link

Chapter 2 §IV.6, (2.51)–(2.58); NASA/JPL Cassini (2003)

READY · Ready for stated work

Ready to recalculate the stated limited model; not a completed distinct prediction.

ASD-PRED-006

Observed result: Near-Sun Cassini radio links recorded frequency and round-trip light-time changes.
ASD calculation / interpretation: The one-way logarithm has coefficient 2G₀M/c³; a static round trip is approximately twice this.
Established-theory result: The same first-order delay after matching endpoints and order.
Numerically different?: NO — same in this static approximation.
Interpretation different?: YES — spatial accumulation of full reference optical length.
Does this distinguish ASD?: NO — at this order.
Current status: Analytic term reproduced; the illustration does not replace Cassini orbit, plasma and clock modeling.
Required precision: A real link needs an error budget; no unique-difference precision is defined.

REPRODUCEDEvidence · CONSISTENT

Mercury central-field periapsis advance

Chapter 2 §IV.1–3, (2.25)–(2.42); JPL; Will (2014)

READY · Ready for stated work

Ready to recalculate the stated limited model; not a completed distinct prediction.

Observed result: Mercury orbital tests include a relativistic central-field advance; full observations include other perturbations.
ASD calculation / interpretation: Eq. (2.42) gives about 0.1035 arcseconds/orbit or 43.0 arcseconds/Julian century with chapter parameters.
Established-theory result: The same value for matching central field, parameters and first order.
Numerically different?: NO — same model and order.
Interpretation different?: YES — spatial-length and inertia-action construction.
Does this distinguish ASD?: NO — the current static spherical action is mathematically equivalent.
Current status: Central-field calculation reproduced; no independent ephemeris fit.
Required precision: First establish a difference not absorbed into mass, distance or orbital parameters.

REPRODUCEDEvidence · UNTESTED

Static photon sphere and critical shadow scale

Chapter 2 §V.1–3, (2.59)–(2.71)

NEEDS THEORY · Needs theory

Source, coupling, readout or statistical mapping remains open; instrument precision cannot replace it.

Observed result: No fitted shadow image or emission-ring dataset is published in this module.
ASD calculation / interpretation: The adopted exterior gives r_ph = 3ℓ_g and b_c = 3√3ℓ_g; capture additionally requires absorption.
Established-theory result: Schwarzschild static optics gives identical critical scales.
Numerically different?: NO — for the adopted static exterior optical path.
Interpretation different?: YES — continuum termination is a separately stated ontological hypothesis.
Does this distinguish ASD?: NO — for these scales themselves; other boundary responses remain undetermined.
Current status: Conditional mathematics; emission, transfer and instrument modeling remain unfinished.
Required precision: No image difference or error budget is established.

Reproduction here includes matching chapter expressions to established results. Each card states whether data were refitted. The static strong-field optics card remains UNTESTED as evidence.

04REINTERPRETED

REINTERPRETEDEvidence · CONSISTENT

Static atomic-clock height shift

Chapter 2 §I, (2.2a); Bothwell et al. (2022)

READY · Ready for stated work

Ready to recalculate the stated limited model; not a completed distinct prediction.

ASD-PRED-005

Observed result: Bothwell et al. report a gravitational frequency gradient across a millimetre-scale strontium sample.
ASD calculation / interpretation: Ω and the standard-process response give Δf/f = ΔΨ/c².
Established-theory result: The same static weak-field clock ratio.
Numerically different?: NO — same at this order.
Interpretation different?: YES — spatial/wavelength response versus proper-time construction.
Does this distinguish ASD?: NO — the shared ratio does not select an ontology.
Current status: Macroscopic consistency; no raw-data refit or microscopic atomic closure.
Required precision: No independent difference is specified, so no discriminating precision is assigned.

The Bothwell paper supplies the observation; Chapter 2 supplies the ASD interpretation. These sources have distinct roles.

05POTENTIALLY DISCRIMINATING

POTENTIALLY DISCRIMINATINGEvidence · UNTESTED

Nondegenerate higher-order, boundary or rotation observables

Chapter 2 §IV conclusion, §V.4–8; OP-GRV-001–004

NEEDS DATA · Needs data

First acquire traceable observational inputs; a nondegenerate theoretical difference also requires review.

ASD-PRED-004

Observed result: No independent difference or validating dataset has been published in this module.
ASD calculation / interpretation: Determine new responses from master equations or boundary/rotation dynamics, then calculate shared apparatus readouts.
Established-theory result: Compute a baseline using identical mass, distance, source structure, endpoints and order.
Numerically different?: TBD — neither second order nor strong field guarantees a difference.
Interpretation different?: Possible; identify the additional constitution and process response.
Does this distinguish ASD?: POTENTIALLY / PROPOSED TEST — existence of a discriminator is not established.
Current status: Open research; higher-order expansion of the present static action and optics can remain identical.
Required precision: TBD — after a difference model and parameter-degeneracy analysis.

Second order, strong field and rotation are not substitutes for a nonzero difference calculation. Current static spherical actions and optical paths are equivalent; parameter and coordinate degeneracies must be excluded first. See the open research tasks.

06Data and Sources

No new raw-data fit, residuals, confidence interval or underived prediction is published here. S301 stays an independent case study (Chinese), awaiting complete data before reproducible fitting.

Parameters use JPL and IAU B3. Link observations are described by the Cassini project; established-test context is in Will (2014). These are external references, not independent ASD validation reports.

Canonical Source

Anisotropic Space Dynamics

Chapter 2 · Static Spatial Anisotropy

Chapter 2 / 第二章 §§I, IV–V, pp. 1–5, 11–25

Module version: 1.0.0
Source snapshot: FND-3dde8d8e081d
Content review date: 2026-09-14

Source files and checksums

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

PREF-125df9543371 · 序章.pdf
8 PDF pages
125df9543371f89656a2c29d552e1166e5edcc9ff5f6ec1ef1e438c7688d6ec5
CH1-46d43c8c39bf · 第一章(2).pdf
23 PDF pages
46d43c8c39bfd47f06ad699a6780e1142adc14bdd3520e2d5603d37a696cd9e9
CH2-f9598318d123 · 第二章-ASD理论-修订书稿 (2).pdf
27 PDF pages
f9598318d123c1f85a7d720af9cecbed8392e0b399910e3f9bfb675d49494709

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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

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.

Depends on

Gravitational Redshift · Scale, Wavelength and Frequency Light Deflection · From Optical Path to Rays Shapiro Delay · Excess Optical Path and Propagation Counts Orbital Dynamics · Action, Conservation and Precession Compact Objects · Static Optics and Strong-field Boundaries

Revision history

2026-09-14

CONTENT REVISION

Gravity v1.0 · Canonical content release

Editorial record

SOURCE & SCOPE

Chapter 2 · Static Spatial Anisotropy · Chapter 2 / 第二章 §§I, IV–V, pp. 1–5, 11–25

This is the English translation of the Chinese canonical module, based on the same final-manuscript source snapshot. The Chinese final manuscript remains authoritative. Website equation IDs are stable citation identifiers; original manuscript numbers are listed separately.

Knowledge scope

CITATION & SOURCE FILE

ASD: Gravity · Experimental Relations and Tests. ASD-GRV-GRAVITY-EN. Version 1.0.0; 2026-09-14. https://asd-physics.org/en/tests/gravity. Chapter 2 / 第二章 §§I, IV–V, pp. 1–5, 11–25. Source FND-3dde8d8e081d.

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01Reading the Matrix

02Gravity Tests Matrix

03REPRODUCED

Weak-field light deflection

Shapiro / Cassini link

Mercury central-field periapsis advance

Static photon sphere and critical shadow scale

04REINTERPRETED

Static atomic-clock height shift

05POTENTIALLY DISCRIMINATING

Nondegenerate higher-order, boundary or rotation observables

06Data and Sources

Anisotropic Space Dynamics

Position within the framework

Depends on

Related open problems

Revision history

Gravity v1.0 · Canonical content release

Continue with the assumptions, equations and sources.