Ad-Tech (United States)

Observing Case: Does the Galactic Acceleration Scale Evolve? Deep-Regime Rotators at z ~ 2-2.6 (Version 2: corrected target ledger, separated rivals, honest odds)

VERSION 2 (2026-09-25) supersedes version 1. Version 1's candidate ledger carried values that contradict their own cited sources (largest: A68-HLS115 is at z = 1.5869 with M* = 8.1e9 Msun, not a z = 2.49 deep-regime candidate); it merged two rivals (the LambdaCDM-emergent rise wa...

The Clock-Host Candidate in One Page: What Stands, What Died, What Decides

A one-page statement of the standing relativistic candidate of the a0 = (1/2) c sqrt(G rho_Lambda) programme as of 2026-09-20: a single-metric khronometric clock hosting one screened MOND scalar (the AeST coupling without its dark sector), written out as a Lagrangian. What stands...

A Clock That Must Run Fast: the Solar System as an Inequality on the Rate of Cosmic Time

ERRATUM, version 2 (2026-09-18). The disformal coupling this paper aligns puts photons on the matter metric and gravitational waves on the Einstein metric; GW170817's photon-graviton arrival test excludes it by 3-4e7 (delay 1.8-2.3 yr against 1.74 s; CK01, 5/5, both a0 footings,...

Does the MOND Acceleration Scale Evolve? A Pre-Registered Decisive Measurement: the Deep-MOND Tully-Fisher Zero Point of One Lensed Rotator at z ~ 2.5, with a Two-Stage JWST/ALMA Funnel

VERSION 3 (2026-09-18) supersedes version 2 of the same day: v2's PDF was the v1 build (a compile error dropped the figure) although its TeX carried the note; v3 carries the note and the figure in the PDF, with the figure file included. VERSION 2 NOTE (2026-09-18). The framework'...

The Decoupling Locus: a MOND Scale Derived from a Clock, and the Solar System Reduced to One Number

ERRATUM, version 2 (2026-09-18). The disformal matter coupling of Section 5 puts photons on the matter metric and gravitational waves on the Einstein metric; GW170817's photon-graviton arrival test excludes it: the delay along the NGC 4993 sightline is 1.8-2.3 yr against the obse...

A Conserved Clock Rate, and the Board Run End to End

The solar system demands a clock running about 1.5e7 times proper time, a number nothing explained. We show it does not need explaining. The closure's two kinetic coefficients descend from a SINGLE logarithmic function P(X) = -(U/2) log(U - 2 d X) whose pole is a SPEED LIMIT, wit...

A Photocount Reading of the Interpolating Function, and a No-Go for Deriving Its Normalisation from a Clock

A companion paper removed the MOND acceleration scale as an independent parameter and found that 155 SPARC rotation curves then select, with nothing fitted, the member n = 2 of the family mu_n(Y) = 1 - (1+Y)^(-n), which is kappa = 1/2. This paper reports what happened when we tri...

A Photocount Reading of the Interpolating Function, and a No-Go for Deriving Its Normalisation from a Clock

A companion paper removed the MOND acceleration scale as an independent parameter and found that 155 SPARC rotation curves then select, with nothing fitted, the member n = 2 of the family mu_n(Y) = 1 - (1+Y)^(-n), which is kappa = 1/2. This paper reports what happened when we tri...

A Parameter-Free Radial Acceleration Relation from the Dark-Energy Scale

We remove the MOND acceleration scale as an independent parameter. If the interpolating function's argument is the acceleration in units of the dark-energy acceleration s = c sqrt(G rho_Lambda) rather than in units of a_0, then a_0 is an OUTPUT and the coefficient kappa in a_0 =...

A Conserved Clock Rate, and the Board Run End to End

The solar system demands a clock running about 1.5e7 times proper time, a number nothing explained. We show it does not need explaining. The closure's two kinetic coefficients descend from a SINGLE logarithmic function P(X) = -(U/2) log(U - 2 d X) whose pole is a SPEED LIMIT, wit...

A Parameter-Free Radial Acceleration Relation from the Dark-Energy Scale

We remove the MOND acceleration scale as an independent parameter. If the interpolating function's argument is the acceleration in units of the dark-energy acceleration s = c sqrt(G rho_Lambda) rather than in units of a_0, then a_0 is an OUTPUT and the coefficient kappa in a_0 =...

The Clock Rate Is the Dark Matter Pressure: a Closed-Form Coefficient History for a Self-Critical MOND Sector, and a Prediction of Positive w_dm

A cuscuton-clock MOND sector is driven by its own gradient instability onto a critical surface where its stress is isotropic and its sound speed vanishes, making it a clustering cold component without tuning (doi:10.5281/zenodo.22727111, doi:10.5281/zenodo.22727860). That constru...

The Coldness Is Dynamical: How Cold a Self-Critical MOND Sector Ends Up, and Why Nothing Has To Be Tuned

A cuscuton-clock MOND sector whose clock runs faster than proper time is gradient-unstable at zero field gradient, but its own MOND nonlinearity turns the sound speed positive at a finite gradient Y*, whose marginal state has cs2 = 0 and isotropic stress (doi:10.5281/zenodo.22727...

A Clock That Cannot Be Dragged: Why the Preferred-Frame Test Does Not Bite a Cuscuton-Clock MOND Sector

A clock field defining a preferred foliation is normally in danger from the post-Newtonian preferred-frame parameters: a body moving at velocity w through the clock's rest frame sees a clock with a spatial gradient, and an order-unity coefficient in front of that tilt is excluded...

The Clock Stability Theorem: the Sub-Horizon Sound Speed of a Cuscuton-Clock MOND Sector Is Set by the Clock Rate

A relativistic MOND candidate built from a cuscuton clock, a dynamical scalar with a projected-gradient (MOND) sector and a cubic coupling has a homogeneous cosmological branch on which the clock sector gravitates like dust. We derive, in the uniform-clock gauge and the sub-horiz...

What a Clock Can and Cannot Do: a Cold Dark Sector Derived, a Force Law Excluded, and the Rate of Cosmic Time Certified

A cuscuton-clock sector with a projected-gradient scalar produces a cold clustering component by driving itself onto a critical surface, and passes nine successive cosmological and solar-system gates. Every one of those derivations set the cubic coupling to zero. We restore it an...

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...

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...

The Dark-Fraction Ledger Is Geometry: One Universal Concentration Reproduces the Host-Mass Dependence, and the Lyman-alpha Forest Closes the Late-and-Puffy Component

A MOND kernel on the de Sitter-locked acceleration scale passes galaxies, clusters and the CMB together only if a real cold component is present with a fraction of its LambdaCDM halo mass that rises with host mass: below 0.105 inside three disc scale lengths of a 1.2e10 solar-mas...

The Decoupling Locus: a MOND Scale Derived from a Clock, and the Solar System Reduced to One Number

A cuscuton-clock sector with a projected-gradient scalar produces a cold clustering component and passes nine gates as a dark component, but produces no force law, because matter in that action is minimally coupled. Adding a coupling is what would give MOND, and the obstruction w...