The Filtered MOND Action: a Central Tidal Identity, Comparable-Mass Forces, a First Covariant Clock Action, and the Operator That Screens the Solar System

Preprint; AI-assisted research draft; not peer reviewed. This deposit timestamps results and their reproducibility scripts. It claims no completed relativistic MOND theory, no derivation of the coherence length or of a0, and no empirical detection. For the spatially filtered two-potential MOND action (exact inverse partner of μ(y) = 1 − e−y, one coherence length ξ): (i) a central tidal identity Q2/D = 2y/{5[3λ(y) − y]}, reproduced by independent nonlinear machinery to 1.4%/0.6% on the two footings; (ii) the comparable-mass force from varying both source positions, its leading harmonic coefficient (2/9)√(GMa0)/ξ2 verified to 2–5%, and a three-frequency orbital relation; (iii) the exact two-body force from the action: Milgrom's deep-MOND law to 1%, a no-net-phantom-force theorem in a uniform external field, and the error of the total-mass one-body reduction for aligned wide binaries (under 2.5% except an 8–10% spike at d = √(GMtot/ge)); (iv) Solar-System gates: the double filter survives for ξ ≥ 0.02–0.03 pc; (v) a first explicit covariant clock/heat action whose leading weak static reduction is the filtered functional (mode count and causal feasibility open) and an exact FLRW exclusion of an intrinsic-elliptic Deffayet–Woodard variant; (vi) the local operator ξ2|∇⊥V|2 on the scalar's gradient invariant reproduces the coherent stiffening exactly in α1 in aether and clock hosts, suppresses the scalar's α2 drag by 3×10−5 at (ξk)2 = 104, adds no degree of freedom, and leaves the static PPN ladder under its bounds at the Cassini floor. The wide-binary pre-registration is untouched.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-05
DOI
https://doi.org/10.5281/zenodo.22347631
Primary Topic
Solar and Space Plasma Dynamics
Type
preprint
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preprint

The Filtered MOND Action: a Central Tidal Identity, Comparable-Mass Forces, a First Covariant Clock Action, and the Operator That Screens the Solar System

Carl P. Zimmerman
Zenodo (CERN European Organization for Nuclear Research)
Solar and Space Plasma Dynamics
preprint

The Filtered MOND Action: a Central Tidal Identity, Comparable-Mass Forces, a First Covariant Clock Action, and the Operator That Screens the Solar System

Carl P. Zimmerman
preprint en

Abstract

Preprint; AI-assisted research draft; not peer reviewed. This deposit timestamps results and their reproducibility scripts. It claims no completed relativistic MOND theory, no derivation of the coherence length or of a0, and no empirical detection. For the spatially filtered two-potential MOND action (exact inverse partner of μ(y) = 1 − e−y, one coherence length ξ): (i) a central tidal identity Q2/D = 2y/{5[3λ(y) − y]}, reproduced by independent nonlinear machinery to 1.4%/0.6% on the two footings; (ii) the comparable-mass force from varying both source positions, its leading harmonic coefficient (2/9)√(GMa0)/ξ2 verified to 2–5%, and a three-frequency orbital relation; (iii) the exact two-body force from the action: Milgrom's deep-MOND law to 1%, a no-net-phantom-force theorem in a uniform external field, and the error of the total-mass one-body reduction for aligned wide binaries (under 2.5% except an 8–10% spike at d = √(GMtot/ge)); (iv) Solar-System gates: the double filter survives for ξ ≥ 0.02–0.03 pc; (v) a first explicit covariant clock/heat action whose leading weak static reduction is the filtered functional (mode count and causal feasibility open) and an exact FLRW exclusion of an intrinsic-elliptic Deffayet–Woodard variant; (vi) the local operator ξ2|∇⊥V|2 on the scalar's gradient invariant reproduces the coherent stiffening exactly in α1 in aether and clock hosts, suppresses the scalar's α2 drag by 3×10−5 at (ξk)2 = 104, adds no degree of freedom, and leaves the static PPN ladder under its bounds at the Cassini floor. The wide-binary pre-registration is untouched.

Zenodo (CERN European Organization for Nuclear Research)
Ad-Tech (United States) (US)
Peace, Justice and strong institutions
Solar and Space Plasma Dynamics
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