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Gradient-Driven Criticality: a MOND Sector That Cures Its Own Gradient Instability, and a Marginal State That Is Exactly Cold

A relativistic MOND candidate built from a cuscuton clock, a dynamical scalar with a projected-gradient sector and a cubic coupling has a sub-horizon sound speed cs2 = (1 - s0) mrel/(2 - mrel), negative whenever the clock rate exceeds unity (doi:10.5281/zenodo.22717950). That res...

A Preferred Frame Is Forced: Static Weak-Field MOND with One Metric and Two Propagating Modes, and the Lensing Lock That Discharges the Locality Hypothesis

A theorem: if a relativistic theory of gravity (i) reduces to Milgrom's modified Newtonian dynamics in the static weak field, (ii) carries a single physical metric to which matter couples minimally, and (iii) propagates exactly two gravitational degrees of freedom, then it contai...

A Ceiling Dark Matter Cannot Impose: the Bounded-Boost Theorem for MOND-Class Kernels, and What It Says About Galaxies and Clusters

Version 4: the kernel swap the theorem selects is carried through the framework's whole constraint ladder, not just the Solar System. The carried kernel enters every gate through one function, J_Y(s) = s/Δ(s), whose saturated slope is e for the exponential carrier and 1.544 for ν...

A Ceiling Dark Matter Cannot Impose: the Bounded-Boost Theorem for MOND-Class Kernels, and What It Says About Galaxies and Clusters

Version 4: the kernel swap the theorem selects is carried through the framework's whole constraint ladder, not just the Solar System. The carried kernel enters every gate through one function, J_Y(s) = s/Δ(s), whose saturated slope is e for the exponential carrier and 1.544 for ν...

A Ceiling Dark Matter Cannot Impose: the Bounded-Boost Theorem for MOND-Class Kernels, and What It Says About Galaxies and Clusters

Version 2: references added, and three results folded in — the carrier theorem is shown to BE the bounded-boost theorem (a matter-sourced scalar can carry a kernel only up to the maximum of Δ, so the saturation is universal and every kernel leaves a constant residual force C a0);...

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Preprint; AI-assisted research draft; not peer reviewed.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-...

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-...

The modified-gravity arm: a Bekenstein-Milgrom field theory for a_0 = kappa c sqrt(G rho_Lambda)

This paper switches the framework's operative arm from modified INERTIA to modified GRAVITY, and says why in its first section rather than its last. WHY THE SWITCH. In modified inertia the metric is unmodified and baryon-sourced -- not incidentally but by requirement, since the w...

Inertia from the de Sitter vacuum: a guide for cosmologists and astrophysicists

An expository guide, ~5,700 words, assuming general relativity and Lambda-CDM and nothing about the framework it describes. Written to be readable in an hour by a professionally sceptical reader, and structured so that the reasons to DISBELIEVE it are as easy to find as the reaso...

The modified-gravity arm: a Bekenstein-Milgrom field theory for a_0 = kappa c sqrt(G rho_Lambda)

This paper switches the framework's operative arm from modified INERTIA to modified GRAVITY, and says why in its first section rather than its last. WHY THE SWITCH. In modified inertia the metric is unmodified and baryon-sourced -- not incidentally but by requirement, since the w...

A local, generally covariant field theory of modified inertia

v7 (2026-08-09): the modified-gravity arm is COMPLETED as AeST and this kernel embeds in it, turning v6's 21.2-sigma lensing exclusion into 0.601 sigma with gamma_PPN = 1. A bounded (DBI-type) K(Q) dissolves Blanchet & Skordis 2024's published 455x no-go, with a theorem: for any...

Inertia from the de Sitter vacuum: a guide for cosmologists and astrophysicists

An expository guide, ~5,700 words, assuming general relativity and Lambda-CDM and nothing about the framework it describes. Written to be readable in an hour by a professionally sceptical reader, and structured so that the reasons to DISBELIEVE it are as easy to find as the reaso...

A local, generally covariant field theory of modified inertia

VERSION 5: the paper now states its own FALSIFICATION TEST, with the power computed BEFORE the data -- and the honest headline is that the test is ASYMMETRIC. SAID FIRST, because it bounds everything that follows: the wide-binary prediction is NOT derived from this paper's steps...

A local, generally covariant field theory of modified inertia

VERSION 6: the paper now carries its own most serious limitation, and it is a NEGATIVE result about the construction's STATUS. TAKEN AS A FUNDAMENTAL THEORY, THIS CONSTRUCTION PREDICTS THAT GRAVITATIONAL LENSING TRACES THE BARYONIC MASS ALONE -- AND THAT IS EXCLUDED AT ~21 SIGMA....

A local, generally covariant field theory of modified inertia

v7 (2026-08-09): the modified-gravity arm is COMPLETED as AeST and this kernel embeds in it, turning v6's 21.2-sigma lensing exclusion into 0.601 sigma with gamma_PPN = 1. A bounded (DBI-type) K(Q) dissolves Blanchet & Skordis 2024's published 455x no-go, with a theorem: for any...

A causal variational worldline action for modified inertia: the rapidity gap

VERSION 5: the construction is now stated in ONE LINE as the paper's opening display. S = −mc2 ∫ [ μ(Θ) dτ + (1 − μ(Θ)) dt ] , Θ(τ) = ∫0∞ ds K(s) cosh−1( −u(τ)·u(τ−s)/c2 ) with dτ the proper time and dt the PREFERRED-FRAME (cosmological) time. This is not a new result — it is alg...

A local, generally covariant field theory of modified inertia

Preprint. This deposit exists to timestamp a construction and to carry its reproducibility scripts; it is not a journal publication. It completes the worldline action of DOI 10.5281/zenodo.21845411 into a LOCAL, GENERALLY COVARIANT field theory with three healthy propagating mode...

A causal variational worldline action for modified inertia: the rapidity gap

VERSION 3 CHANGES. The substantive one CORRECTS both earlier versions. (1) The circular-orbit relation was wrong. v1 and v2 both asserted that on a circular orbit |a| is constant and so the acceleration dependence contributes no additional radial force. It does: ahat = a/|a| ROTA...

A local, generally covariant field theory of modified inertia

VERSION 4: a FACTUAL CORRECTION, found by auditing this paper against the author's own frozen Gaia DR4 pre-registration, and made rather than left standing. Versions 1-3 stated that μ's shape is "the α = 2 interpolation that solar-system ephemerides force". THAT IS FALSE. α = 2 m...

A causal variational worldline action for modified inertia: the rapidity gap

Preprint. This deposit exists to timestamp a construction and to carry its reproducibility scripts; it is not a journal publication. The result, in one line. The object that supplies the proper-acceleration magnitude |a| to a worldline action, without the (v/c)2 suppression that...