The corrected historical claim

The supplied release retains September 19, 2022 as its historical communication label. Its earlier exclusivity claim has been withdrawn. This Brief explains the current proposed test and later observational context; it does not attribute the present equations, the 2026 source version or the 2024 JWST papers to that earlier communication.

An early luminous galaxy is evidence about its observed light, inferred distance and physical properties under stated models. Establishing a gravitational mechanism requires additional predictions and measurements. A model must calculate more than a qualitative tendency toward faster development before it can claim an explanation of galaxy abundances, luminosities or assembly histories. The cited MQ construction supplies a fixed-source gravitational response, while the full formation problem remains separate. [1] [6]

No exclusivity follows from the appearance of early structure, and the cited material does not establish a universal 500-million-year cutoff below which standard cosmology forbids galaxies. A meaningful comparison must identify the particular population statistic, source assumptions, selection effects and competing calculations. The technical question here is whether the prescribed age-dependent response survives a controlled kinematic test. [1] [7]

What the later observations actually supply

Table 1 distinguishes high-redshift exploratory observations from the intermediate-redshift material proposed for the more controlled test. Publication years identify the cited studies rather than dates when all their underlying observations were taken. None of these survey teams reports an independent MQ replication in these papers.

The JADES analysis uses high-resolution NIRSpec multi-object spectra and an instrument-aware thin-disk forward model. A slit samples limited spatial information, so morphology, the point-spread function and instrumental geometry affect the recovered motions. The sample contains both rotation- and dispersion-dominated structures. A fitted gradient is not automatically a precise circular speed, and interacting systems can complicate that interpretation. [2]

Xu and collaborators analyze integral-field spectroscopy of GN-z11. They identify spatially extended ionized-gas emission with a velocity gradient, model it under a rotating-disk assumption and acknowledge that an outflow can also explain the pattern. Their paper calls for better signal and resolution to determine the physical origin. Treating the rotating interpretation as settled would remove a material qualification from the observational source. [3]

These are later case studies selected by the current MQ discussion, not a complete inventory of all early-galaxy observations. They demonstrate access to informative kinematics and also explain why detecting structure at high redshift is not yet the dedicated gravitational test. A stronger test requires the baryonic force field and the circular-speed interpretation to be constrained together. [1]

The exact age-dependent prediction

Let ${\mathrm{𝐴}}_{\mathrm{𝑈}}$ denote the positive System Frame age of the universe at the comparison epoch and ${\mathrm{𝐴}}_{\mathrm{𝑈}\mathrm{,}\mathrm{0}}$ its present-epoch value, in the same time units. Let ${\mathrm{𝑎}}_{\mathrm{MQ}}$ denote the MQ characteristic acceleration scale in metres per second squared. With the upstream MQ normalization fixed, Equation (1a) gives its inverse-age scaling. These are Brief equation labels, distinct from the source numbering. [1]

Let $\mathrm{𝑅}$ denote physical galactocentric radius in metres, ${\mathrm{𝑣}}_{\mathrm{New}}\left(\mathrm{𝑅}\right)$ the positive Newtonian circular speed of the adopted baryonic source in metres per second, and ${\mathrm{𝑔}}_{\mathrm{bar}}\left(\mathrm{𝑅}\right)$ the corresponding positive baryonic acceleration in metres per second squared. Equation (2b) is the circular-kinematic source conversion. [1]

Let ${\mathrm{𝑣}}_{\mathrm{real}}(\mathrm{𝑅},{\mathrm{𝐴}}_{\mathrm{𝑈}})$ denote the predicted realized circular speed at that radius and age, in metres per second. The source gives the positive-speed branch in Equation (3c). The baryonic acceleration in its denominator refers to the same radius. [1]

In MQ, bounded realization describes the count-constrained Frames mapping into measurable gravitational response. Its local law uses a square-root depth and an exponential realization fraction. The proposed physical interpretation is theoretical. The same empirical functional shape has prior galactic phenomenology; this prospective test concerns the specified age dependence and upstream normalization rather than rediscovery of that shape. [1]

For a fixed baryonic source and radius, decreasing the age increases the characteristic scale, reduces the denominator and increases the predicted speed. The largest fractional age effect occurs at lower baryonic acceleration relative to the relevant scales. Regions that remain at high acceleration relative to the age-adjusted scale approach the Newtonian limit. The model therefore does not assign one universal redshift percentage to every galaxy or every radius. [1]

Dividing the predicted speed by its value at the present age cancels the common Newtonian source speed. Equation (4d) isolates the age argument while keeping the baryonic acceleration unchanged. It is an algebraic consequence of the same law, not a second observation. [1]

A reproducible example without a redshift assumption

Table 2 evaluates the exact age ratio at four positive age fractions. The lower-acceleration source is fixed at one tenth of the present acceleration scale; the other is fixed at the present scale. Neither source is renormalized to the changing scale at the younger epoch. These dimensionless calculations require no distance, galaxy mass, assumed present age or redshift-to-age history.

At half the present age, the scale doubles and the calculated speed rises by 16.320% in the lower-acceleration example and 11.667% in the other example. These are conditional predictions, not measured offsets or uncertainty intervals. Figure 1 plots this same controlled calculation.

Putting a redshift on the prediction

Redshift describes cosmological stretching and is not itself an elapsed-time measurement. The source converts it to age by subtracting a lookback-time integral from a present-age normalization. The integrand is the reciprocal of the product of one plus redshift and the externally specified System Frame expansion rate. That rate is not identified with the Internal Frame rate that enters the MQ construction. [1]

The source’s present-age normalization is 13.7943 billion years, obtained through MQ from the measured CMB temperature. It is not an independent observation of cosmic age. The expansion history and normalization must be fixed before the galaxy test; their model dependence and shared uncertainties remain part of the inference. [1] [10]

Table 3 preserves three rows of the source’s rounded conditional benchmark. It uses that present-age normalization and a Planck 2018 flat late-time expansion prescription. The table neither fits the galaxy data nor establishes a complete MQ cosmological solution. A different allowed expansion history changes the redshift-to-age conversion. [1] [9]

These rows help locate a practical test regime. The rounded ages are not sufficient to reconstruct every digit of the source’s integration, and no complete uncertainty budget follows from this table. The age-only calculation in Table 2 is separately reproduced; the redshift benchmark retains the cited source’s reported values. All uses require positive, physically defined System Frame age, rather than extrapolation to an observed zero-age epoch. [1]

Why intermediate redshift is the preferred next test

The preprint proposes roughly redshifts 0.5–1.5, where the expected fixed-source effect is substantial and resolved disk kinematics are more accessible than in the most distant compact systems. RC100 provides resolved hydrogen-alpha or carbon-monoxide rotation curves, and KROSS provides resolved hydrogen-alpha kinematics around redshift 0.9. Their existence establishes observational opportunity, not execution of the proposed MQ test. [1] [4] [5]

An input baryonic source must be reconstructed from stellar and gas information without adjusting it to remove MQ residuals. A published dynamical decomposition that already includes a fitted halo or gravity prescription cannot simply be relabeled as a theory-independent ordinary-matter force field. Uncertainty in stellar normalization, gas conversion, distance, geometry and inclination must accompany the reconstruction. [1] [8]

Figure 2 separates that frozen-source test from a galaxy-formation calculation. To compare different epochs, match independently reconstructed baryonic acceleration and relevant structure, and forward-model the predicted circular field through the instrument and tracer model. A fixed-source law is not a claim that an individual galaxy retains the same physical distribution through time.

What must be decided before examining residuals

Freeze the target sample, exclusion rules, radial coverage, source-reconstruction method, expansion history, MQ normalization and comparison statistic. A dated public protocol would make those choices auditable. The cited source proposes this ordering, but does not establish that an independent prospective analysis has already followed it. [1] [7]

The forward model must include pressure support, inclination, spatial resolution and beam smearing. Selection rules must address noncircular motion, mergers and outflows without excluding a system merely because its MQ residual is unfavorable. High-redshift compact bright cores may not sample the lower-acceleration radii where the predicted fractional change is larger. [1] [2] [3]

Retain correlations across radii within each galaxy and shared calibration across galaxies and redshift bins. Stellar and gas assumptions can produce coherent profile shifts, and the age prescription is common to multiple targets. A hierarchical or galaxy-block approach can preserve such dependencies. A trend in luminosity-selected samples alone does not isolate the change in the gravitational law.

What could challenge the proposal

A statistically secure absence of the prescribed age-dependent shift in sufficiently sensitive, matched systems would challenge this extension of the galactic law. Publish sensitivity to source reconstruction, cosmic-age history and instrumental effects so that a null result can be distinguished from a measurement that lacks discriminating power. Refitting an arbitrary MQ scale in every epoch bin would change the question being tested. [1]

A positive trend would need comparison with source evolution and competing physical explanations before attribution to MQ. It would not itself establish the full count ontology or a complete model of the early universe. Predicting galaxy abundance, stellar mass, luminosity and maturity requires evolving density perturbations, gas dynamics, cooling, star formation, feedback, mergers and the cosmological environment together. [1] [6] [7]

Chronology and source requests

The September 19, 2022 label belongs to the historical communication. The JADES and GN-z11 papers cited here are 2024 journal studies, with public preprints first submitted in 2023 and 2024 respectively. The current MQ technical source records a September 8, 2026 completed-source milestone and includes later revisions. These dates must not be collapsed into a claim that the full present protocol or these observations were documented in 2022. This Brief was prepared October 26, 2026. [1] [2] [3]

Request the dated prediction, source and sample rules, exact expansion-history file, age-normalization input chain, instrument forward model and retained covariance. Ask whether the resolved-galaxy test has been executed, and which independently calculated products are available. The displayed age-only arithmetic was reproduced for this Brief; no survey reanalysis, age-dependent gravity detection or early-galaxy formation simulation was performed.