What does this research mean for the field?

None of the six candidate mechanisms for the amplitude law survive adversarial verification, as the obstruction is proven to be arm-level (inherent to the modified-Poisson framing) rather than mechanism-specific. Novelty: ClaimNovelty.CONTRADICTORY. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

What question did this study set out to answer?

To assess whether any of six proposed gravitational mechanisms for the amplitude law can withstand theoretical ghost instabilities and Solar System ephemeris constraints.

August 23, 2026Open Access

The Amplitude Law: six mechanisms, no survivor, and why the obstruction is arm-level rather than mechanism-level

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To assess whether any of six proposed gravitational mechanisms for the amplitude law can withstand theoretical ghost instabilities and Solar System ephemeris constraints.
Evaluated six candidate theoretical mechanisms under adversarial verification and theoretical-health criteria, including parallel-mode ghost analysis.
Derived 3D modified-Poisson field reductions for general baryon distributions without assuming spatial symmetry.
Calculated Solar System ephemeris bounds against interpolation functions using the Mars orbital budget and the Cassini quadrupole threshold.
Zero of the six candidate mechanisms survived verification, with the final candidate refuted by a parallel-mode ghost instability.
All four functional mechanisms reduced identically to the Bekenstein–Milgrom phantom density, proving the theoretical obstruction is arm-level rather than mechanism-level.
Tested interpolation functions exceeded the Mars ephemeris budget by 3.3×10⁴ to 4.0×10⁴, worsening prior discrepancy estimates by approximately 27-fold.

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Implication

Theoretical analysis demonstrates that all six amplitude law mechanisms fail observational and theoretical constraints, indicating an arm-level obstruction in modified-Poisson gravity.

Cite This Study

Carl Zimmerman (2026) studied this question.

synapsesocial.com/papers/6a8aae007677a34114446a4a https://doi.org/10.5281/zenodo.22036376

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Implication

Theoretical analysis demonstrates that all six amplitude law mechanisms fail observational and theoretical constraints, indicating an arm-level obstruction in modified-Poisson gravity.

The Amplitude Law: six mechanisms, no survivor, and why the obstruction is arm-level rather than mechanism-level

Key Points

Discussion

Implication

Cite This Study

The Amplitude Law: six mechanisms, no survivor, and why the obstruction is arm-level rather than mechanism-level

Key Points

Discussion

Implication

Cite This Study

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