Within the author-declared axioms, the core logical chain is consistent: if both a0 and H are n=1 edge modes tied to the evolving Hubble horizon with A/AP = C(Theta)(sqrt(Omega))^{-1}, and if Omega_H = (R_H/l_P)^2 with R_H = c/H, then sqrt(Omega_H) is proportional to 1/H, so any such edge-mode acceleration scales linearly with H. The paper then consistently infers a0(z) = a0(0) H(z)/H0 and applies it at z = 10. The distinction drawn later between a0 as an evolving edge mode and Lambda as a fixed surface mode is also consistent with the stated axiom set and does not conflict with earlier claims.

There are, however, some logical gaps that prevent a higher score. The manuscript invokes a "standard flat cosmology" expression for H(z)/H0 using Omega_m and Omega_Lambda after rejecting dark matter as a particle species and asserting alternative boundary conditions. This is not necessarily inconsistent, since the author also states Einstein equations are unchanged, but the paper does not explain whether Omega_m in the Friedmann relation is to be interpreted as baryons only, effective matter, or observationally inferred total matter. That leaves an ambiguity in the practical implementation of the scaling. In Section IV, the jump from stronger effective acceleration to resolving stellar-mass tensions is plausible qualitatively but not logically demonstrated quantitatively; the claim that efficiencies exceeding unity are reduced into the physical range is asserted rather than derived from a collapse model, halo mass budget, or star-formation calculation.

Several computations/dimensional relations are correct as stated, but key equations are asserted without sufficient definition to verify mathematically.

Correct/valid pieces:

• In standard flat Λ+matter parameterization, H(z)/H0=√(Ωm(1+z)^3+ΩΛ) is correct (neglecting radiation/curvature), and at z=10 the arithmetic 0.3×1331+0.7≈400 and √400=20 is correct.
• If deep-MOND scaling is taken as g_eff∝√(gN a0), then the ratio g_eff(z)/g_eff(0)=√(a0(z)/a0(0)) is mathematically correct, yielding √20≈4.47.
• If a characteristic timescale scales as t∝1/√g, then a factor 4.47 in g implies a factor √4.47≈2.12 speed-up; the numeric is consistent.

Main mathematical issues:

• The equation a0/a_P = C(13/120)·(√Ω_H)^{-1} is not checkable as written because a_P and C(Θ) are undefined in the submission. Dimensionally, (√Ω_H)^{-1} is dimensionless since Ω_H=(R_H/ℓ_P)^2. Thus a0/a_P is dimensionless, consistent—but only if a_P is indeed an acceleration scale; that is not specified. Without definitions, the claimed numerical ratio C(13/120)/C(34/120)≈0.184 cannot be audited.
• The step from Ω_H∝H^{-2} to “a0 evolves … as a0(z)=a0(0)H(z)/H0” is mathematically valid if (and only if) a0∝(√Ω_H)^{-1} and √Ω_H∝H^{-1}. But the paper also states “both a0 and H0 are edge modes … referencing the Hubble horizon,” which could be read as implying H0 itself has a mode formula; the mapping from the generic scaling law A/A_P=C(Θ)(√Ω)^{-n} to the specific identification H0↔(edge mode at Θ=34/120) is not derived, and the presence of c in a0/(cH0) is inserted without a stated dimensional analysis of the H0 mode expression. This is not necessarily wrong, but it is not mathematically demonstrated.
• The claim “a0/(cH0) ratio predicted: 0.184 / observed: 0.183” depends on the definition of a0 and the convention used for H0 and c. Numerically, with a0≈1.2×10^-10 m/s^2 and H0≈70 km/s/Mpc≈2.27×10^-18 s^-1, cH0≈6.8×10^-10 m/s^2, giving a0/(cH0)≈0.176. Getting 0.183 would require different input values (e.g., a0 closer to 1.25×10^-10 and/or smaller H0), so as written the “observed: 0.183” is not a mathematically stable statement unless the author specifies which empirical a0 and H0 values (and uncertainties) are adopted.

Overall: the algebraic manipulations that are shown are mostly correct, but several central numerical/functional claims rely on undefined functions/constants and therefore do not meet full mathematical auditability.

The submission makes a clear central prediction: the MOND acceleration scale evolves with redshift as a0(z) = a0(0) H(z)/H0, with explicit quantitative examples such as a0(z=2) ≈ 3 a0(0) and a0(z=10) ≈ 20 a0(0). This is scientifically valuable because it differentiates the framework from both standard MOND, which takes a0 as constant, and ΛCDM-style interpretations that do not posit such an acceleration threshold. The paper also states explicit observational channels for testing the idea, especially high-redshift rotation curves, and gives a falsification condition in the form of finding no evolution in a0 at statistically significant level. That is a genuine empirical discriminator. The second prediction, that Λ remains fixed while a0 evolves, is also in principle testable through high-redshift cosmological probes.

The main limitation is that the falsification criteria are still somewhat underdeveloped. The paper does not spell out how a0 would be operationally extracted from messy high-z galaxy data, what systematic uncertainties would dominate, or what exact observational signatures should be fit in realistic datasets. The claim that enhanced binding resolves early massive galaxy tensions is also only semi-quantitative here; it gives scaling estimates rather than a concrete population-level prediction for stellar mass functions, halo collapse redshifts, or abundance counts. So the work is definitely testable, but not yet framed with the precision of a mature observational program.

The submission is concise, well organized, and easy to follow at the level of its headline argument. It proceeds in a sensible order: observational tension, scaling law, numerical estimate, implications, contrasting predictions, and falsification. The central message is communicated clearly, and the tables help isolate the main claims. A scientifically literate reader can readily identify what is being proposed and how it differs from competing frameworks.

The main clarity issue is that several framework-specific terms are introduced without enough local explanation for a new reader, including 'edge mode,' 'surface mode,' 'Fibonacci stability well,' and the phase coefficient C(Θ). The argument relies on these notions, but this paper mostly treats them as imported machinery rather than briefly defining them in operational terms. The link between the topological assumptions and the scaling law is asserted more than explained. In addition, some causal claims—such as reducing required star-formation efficiencies into the physical range—would benefit from clearer separation between rough heuristic scaling and demonstrated quantitative result. So the communication is strong overall, but still assumes prior familiarity with the broader MIT framework.

Within the author’s stated axioms, the work is highly original. Its main novelty is not merely saying that a0 and cH0 are related, but proposing a specific mechanism: both are edge modes on the same evolving horizon, occupy different phase wells, and therefore have a fixed ratio while still allowing a0 to evolve with epoch. The inversion of the usual assumption structure—evolving a0 but fixed Λ—is also a distinct conceptual contribution. That gives the framework a clear identity rather than being just a minor tweak to MOND phenomenology.

The paper also contributes a novel reinterpretation of the high-redshift galaxy-mass problem: instead of invoking new particle content or observational error alone, it attributes the tension to epoch-dependent strengthening of the MOND threshold. Even though it uses known ingredients such as MOND phenomenology and standard H(z) scaling, the synthesis is clearly new in scope and explanatory direction. The strongest originality lies in connecting galactic dynamics, horizon-referenced scaling, and early-structure formation within one unified framework.

The paper presents a fully developed argument within its declared foundational assumptions, addressing the observational tension of high-redshift galaxy masses by proposing an evolving MOND acceleration scale a₀ tied to the Hubble parameter. All key variables (e.g., a₀(z), H(z)/H₀, z=10 estimates) are defined before use, with explicit scaling laws, quantitative calculations, and implications for structure formation. Boundary conditions are considered through epoch-dependent scaling, and edge cases like z=10 and z=2 are addressed for predictions and falsification. Limitations are stated via the assumptions, including rejection of dark matter and fixed Λ, and the work directly achieves its goal of explaining the 'impossibly early galaxy' problem without gaps in logic or skipped steps within the MIT axioms. The falsification criteria are clearly outlined, ensuring the argument is self-contained and logically valid.