Computational status

diagnostic screening (E13) under frozen preregistration — “does not pass” under declared closures; no letter on λ; no D = 0 crossing in 147 runs

Falsifier: a candidate, or a projection closure derived from the treatise (not declared), that passes (i)–(ii) in the plausible window; then the decada-discriminante row is revised. The screening does not exclude the term κΣ̇ê_E as a term of the Path (2D vacuum): it excludes that its contribution to the β, under these closures, produces the Decade

A at the preregistered point (δ0 ≈ 1, real spectrum); δ0 addendum (exact covariance, g_ef = δ0⁻³): cascade + sinking of D for δ0 < 0.496 with the canonical closure — counterfactual B declared; λ = 10 remains calibrated (τ not derivable)

Falsifier: the preregistration enumerated outcomes; A was decided with the spectrum of the preregistered point

validated likelihood (Cobaya 3.6.2); benchmark 0.04σ (normalized background); uniform pro-ΛCDM contrast; ε cannot be probed by BAO in this parametrization (z_trans ≈ 8.9; structural, computed in the artifact)

Falsifier: the signal would require pro-MCMC ΔAIC/ΔBIC with ε identified; the opposite was observed

not favored (ΔBIC +14.5), published

Falsifier: the corpus advantage (A.6) required a pro-MCMC ΔBIC; the opposite was measured

preregistered; DATA_UNAVAILABLE — open observational (proxy)

Falsifier: median(Δχ²) > 0 with CI95 excluding 0 and frac_improved < 1/3 (preregistered route A)

experimento-no-ejecutado — frozen preregistration with prediction and rule; fail-closed because the data are unavailable

Falsifier: C if the two inner bins of the binned profile exclude the predicted central peak at > 3σ for every β of the arm (the declared expectation, E13: the observed profile is flat)

proven internally; λ=10 calibrated; emergent diagnostic of the S clock with no crossing in the explored range

Falsifier: a derivation of τ(S) that produced λ ≠ 10 would refute the selection

claim of the treatise without derivation or implementation; declared

Falsifier: a v_LR computed on the discretized chain that differs from the c_eff of the flow (5.3) would refute the identification

structural identification, without a dedicated test (declared gap; sub-front of front 7)

Falsifier: an explicit construction with Ngen ≠ 3 in the same algebra

declared gap — neither derivation nor implementation; exhibited by the S clock (delivered state unreadable)

Falsifier: — (there is no testable claim until the formula exists)

declared gap, narrowed down to one equation with two named quantities (E2) and a relation yet to be written (E3); neither derivation nor number

Falsifier: — (there is no testable claim until Σ̇_post and T_sellada are derived)

calibrated; predictive character yet to be established (12.5)

Falsifier: inability to accommodate a measured mass within the calibrated scheme

calibrated SM identity, not a prediction

Falsifier: —

calibrated inputs, not derivation

Falsifier: —

convention declared in the code, calibrated (F.3); without derivation

Falsifier: a derived C(S) that moved the post-Florencia thresholds outside the calibrated steps would force a recalibration of the channels

toy model (specularity sufficient, necessity not proven); Wilson open (front 1)

Falsifier: a counterexample to sufficiency; Wilson (front 1) would decide necessity

numerical result (−1/2; −1/3 conditional)

Falsifier: an exponent different from −1/2 on refining the integration

instrumented; O(1) ansatz: generic DSI, λ = 10 selection

Falsifier: an incompatible spectrum when the ansatz is replaced by a derivation

exact seal; Atlas conditional

Falsifier: breakdown of the exact seal in the suite

conditional (sign of ν, front 4)

Falsifier: a sign of ν opposite to the required one

conditional (W_max, front 4); the T₀ of Lemma 10.3 is that of the complete landscape by the author's decision A (22 Sep 2026), declared and executed, not derived by the code

Falsifier: W_max incompatible with the circle (W_max ≠ T₀_full(δ_H_full) = 1.869e-4 with the fiducial shapes)

mapping; γ_max declared

Falsifier: γ_max outside the declared range on refining

implemented; production open (front 5); single amplitude declared; Level A executed with an INDETERMINATE outcome (instrument not converged)

Falsifier: inability to reproduce the declared gate

prototype (not production)

Falsifier: —

gate reproduced; core indeterminate by resolution (2 Aug, closure passed) and INDETERMINATE at Level A (17/18 Sep, instrument not converged)

Falsifier: a production core incompatible with the gate

half a step: exact verdict in the declared setup; profile shape predicted and frozen (21 Sep); binned profile and 5C/5E pending

Falsifier: binned σ_los incompatible with the setup's prediction — specifically, with the frozen shape (central peak ≈ 2× what is observed, outer region ÷3–4; sensitivity arm β ∈ [−0.5, 0.3]); outcome C if the χ² of the shape excludes the peak at > 3σ (preregistration “Sculptor profile”, front 5 re-founded)

partial: exact shape law; SPARC catalog pending ingestion (proxy)

Falsifier: measured shape incompatible with shape_x5 ≈ 5

non-circular; measures δ_H (≠ δ₀*, C6); value of β₃ conditional

Falsifier: incompatible δ_H on refining the splice

internal derivation with declared closures (E8); exact identities; the amplitude closure used in E1 is excluded (17 Sep) and the consistent amplitude is ~1e-12 — no distinctive observable prediction

Falsifier: closed signature with no additional parameters — µ − 1 = 2(Σ − 1), η < 1, k² tail — but with amplitude ~1e-12 at the model's single A: no foreseen RSD+lensing test reaches it; a measurement of a scale-dependent µ − 1 ≠ 0 on large scales could NOT be attributed to the Cronos channel with A_Sculptor. Atlas remains falsifiable via the same ε_K as BBN

status declaration; the strong reading has neither module nor artifact; the executed Level A does not decide it (INDETERMINATE); the local law at A_Sculptor is unstable within r_CJ in NFW halos (derivation 21 Sep)

Falsifier: a fit of the background or of halos that required Ω_cdm → 0 with Cronos at A_Sculptor would refute the operational reading in favor of the strong one; today there is no such fit. Level A (CDM halo + Cronos at A_Sculptor) can refute the operational one if the interior collapses in a way incompatible with the observed dwarfs — executed on 17/18 Sep with an INDETERMINATE outcome (row nivel-a-halo-aislado), with no verdict on the operational one. Derivation of 21 Sep (row criterio-cronos-jeans): with the local law ε_c = A·ρ^(3/2) and A_Sculptor, the NFW halo of 1e11 M☉ is UNSTABLE within r_CJ = 0.71 kpc (q = (3/2)c²ε_c/σ² > 1, rate ∝ k): the operational reading keeps the CDM for the curves but destabilizes the centers and breaks K_z in the solar neighborhood

observational contrast under frozen preregistration (v2 by erratum, rules identical to v1) on values transcribed and verified against the arXiv abstracts (table bytes not downloaded, warning propagated); exclusion of A_Sculptor robust to the slab band; the A_2σ bound depends on the slab (∝ h²)

Falsifier: conditional on the declared slab (×4 band) and on the form ε_c = A·ρ^{3/2} (dictionary); the values already verified did not move any letter; the exclusion of A_Sculptor (z ≈ 51) survives any height of the slab within the band (z ≥ 11.9 with h×2)

conceptual anchor

Falsifier: an internal inconsistency between the axioms and any derived block

F.2-F.4 + C6

Falsifier: use of a constant outside its declared status

proven internally

Falsifier: failure of the plane's identities in the suite

proven internally (measured exponent)

Falsifier: a measured exponent incompatible with 3

proven internally

Falsifier: a numerical counterexample to monotonicity

proven internally (signature −+++)

Falsifier: a signature other than −+++ in the chain

toy model proven

Falsifier: a violation of RP in the toy model

consistency check passed (E13); refutable (alive); its own band under preregistration (A, provisional on provenance grounds)

Falsifier: a residue outside the declared band; exclusion of the −1.8% by BBN at 95%

robust (bound) / fiducial (median)

Falsifier: bound violated under declared alternative priors

internal checks (E8)

Falsifier: any check of App. H in red

equivalence under pre-declared gates (PASS: algebra 4e-16, vector 1.2e-14, |Δχ²| ≤ 2.2e-12 at the published argmins and ≤ 6.9e-11 including the stress corner); production DESI integrator caught (4.9e-8) and corrected to O(h⁴); SNe integrator measured (3e-6, no gate) — internal (E8)

Falsifier: equivalence gates violated on re-running

exact recovery limit (Prop. A.1)

Falsifier: H(0) ≠ H0 or loss of the exact ΛCDM limit

declared caveats (HS96, diagonal)

Falsifier: incompatibility of the compressed geometry with the fitted background

two-channel scheme; channel parameters calibrated (F.3), with no dictionary from the potential (row diccionario-primordial-cosmologico)

Falsifier: —

effective spectral floor (E10), not Yang-Mills

Falsifier: a spectral floor that disappears on refining the lattice

channel consistency signature (E10)

Falsifier: —

basis implemented

Falsifier: —

internal validation of the pipeline (E8) — it enables consuming the real data and asserts nothing about it

Falsifier: any gate outside its frozen bound would have kept the real HD barred; the real fit is later work

internal consistency check of the linear sector on the background (E8) — not a validation against ΛCDM

Falsifier: a deviation of R(z) larger than the prior envelope would have been an implementation error or new physics, to be distinguished by the enumerated procedure

derivation from the action verified by four routes (GR, Seal, khronometric cross-check, full integration to 5e-4) — internal (E8); tails — pole residues derived (E3a = A) in unitary gauge, numerical confirmation in unitary gauge open (E3b = C and E4b = C) and CONFIRMED in gauge invariants (E5b = A); PPN ingested (E4a = B — α_a ≤ 8e-7); η_N ≡ 1 and µ_Δ tail unobservable at the bound (E5a = B — first order in α_a, not second)

Falsifier: a scale-independent sub-horizon signature in (µ, η) measured with respect to the local G would refute the cancellation; preferred-frame PPN bounds INGESTED (row atlas-ppn): α_a ≤ 8e-7; a measurement of η_N − 1 ≠ 0 on large scales (anisotropic stress) would refute the gauge-invariant closure (row atlas-gauge-invariant); the +4.6·(aH/k)² tail of E4 was a gauge effect and is no longer a falsifier

internal check of the pipeline on real data under preregistration (E8) — INDETERMINATE outcome, not a physical proof, not a validation against ΛCDM

Falsifier: the preregistered rule enumerated tension (C: |ΔΩ_m| ≥ official 3σ or χ²_ν > 1.30) and preference (B: ΔBIC ≤ −2 with 0 ∉ CI95(ε)); neither occurred. Recalibrating the σ(ε) gate is a matter for a future, distinct preregistration, never for this run

internal contrast under preregistration (E8) on published values transcribed and verified by the author against the primary abstracts (15 Sep; official bytes not ingested) — outcome A, bound without identification; no detection, not a physical proof

Falsifier: C: −1.8% ∉ CI95(δ_G) by BBN (exclusion; forbidden to reparametrize ε_K or to invoke α_a a posteriori); B: 0 ∉ CI95 (identification: suspicion of error first). Neither occurred. Recalibrating priors or theoretical errors is a matter for a future preregistration, never for this run

internal derivation (E8) with a mapping verified by the author; transcribed bounds (official bytes pending); the bound α_a ≤ 8e-7 and the clean Residues hold; the η tail of E4a is superseded by the gauge-invariant closure (E5)

Falsifier: C: some identity of the mapping fails (did not occur); a new PPN bound that pushed α_a below the declared strong coupling. The +4.6·(aH/k)² tail is no longer a falsifier (it was a gauge effect, E5)

internal derivation (E8) under preregistration with a declared external check — theorem fixed (η_N ≡ 1) and µ_Δ tail bounded; E5a = B by the closed form, E5b = A; not a physical proof

Falsifier: the preregistered C (coef η_N ≠ 0 at some point) did not occur; a measurement of η_N ≠ 1 on large scales with respect to the local G would refute the theorem; a derivation showing linear anisotropic stress in the khronometric class with β = 0 would refute it from theory. The closed form of µ_Δ at α_a ≪ λ_K − 1 remains open (the E5 one is not retouched)

internal consistency calculation (E8) with the author's external check reproduced; not a physical proof; the amplitude A_Sculptor is calibrated (5E frozen), not derived from the pre-geometric stretch

Falsifier: a derivation from the treatise that fixed ρ_c in an independent way, compatible with 200·ρ̄_m inside halos, would refute the exclusion; an A_Sculptor revised by 5E with official data would shift the single amplitude. OORT–K_z FALSIFIER (added on 21 Sep, row criterio-cronos-jeans): the same A_Sculptor in the solar neighborhood predicts an effective Cronos Oort limit ≈ 0.75 M☉/pc³ (measured 0.10 ± 0.01) and g_C/K_z ≈ 2–7 between 50 and 300 pc; the bound g_C ≤ 0.1·K_z at 300 pc requires A ≤ 0.048·A_Sculptor — A_req(Sculptor)/A_max(K_z) ≳ 20, an internal incompatibility of the local law at a single amplitude, pending the observational preregistration “Oort–K_z” (front 5 re-founded)

consistency map (E8) over a declared form, without fitting; finding independent of the form (q_S > 1 under the 5E calibration); frozen prediction, not tested (E13)

Falsifier: with SPARC ingested, a deviation g_obs − g_bar continuous in g_bar (without a localized step) falsifies the form for every (ε_max, ρ*) of the allowed region; the σ_los(R) profile of Sculptor decides whether the instability q_S > 1 is real, whether σ_los is not the σ of the medium, or whether A_S is not Sculptor's force

derivation (E8) with the author's external check reproduced and a 1D test of the threshold; declared expectations (E13); no data ingested; not an observational result

Falsifier: an N-body simulation with the local law that showed convergence of the rate with q > 1 would refute the criterion; a derived v_LR or non-locality scale that cut off k > 1/L would bound it; the Oort–K_z (outcome C if g_C/K_z > 1 where the model puts ×2–7) and Sculptor profile (C if the χ² excludes the central peak at > 3σ) preregistrations decide the single amplitude against data

internal numerical experiment (E8) under frozen preregistration; INDETERMINATE outcome due to a gate; the 1% agreement in the modes with a clean linear phase is published without a verdict

Falsifier: in a resolved round, γ/k outside the tolerance of the kinetic prediction (outcome B) or growth with q < 1 (C) would refute the derivation of the criterion; this round does not decide

internal check (E8) under a new preregistration; INDETERMINATE due to one cell; the eleven resolved cells agree with the exact kinetics within 1–2% and are published without a verdict (E13)

Falsifier: under a preregistration that resolves the cell (q = 2, n = 4), a rate outside 25% of γ_cin(q, k)·W(k) or a dispersion between modes > 25% would falsify the kinetic prediction of the criterion; growth at q = 0.8 would falsify the threshold

internal numerical experiment (E8) under frozen preregistration; INDETERMINATE due to the energy gate; tables published without a verdict and with the counting noise declared

Falsifier: in a round with the gates passed and the interior resolved: convergence of the series at A_Sculptor would refute the ultraviolet reading of the criterion (letter B); non-convergence also at 0.05·A_Sculptor would point to the instrument (C)

consistency calculation (E8) with declared conventions; expectation met (E13) — Γ₀ grows with δ₀ and vanishes at δ₀ = 0 by different routes in each mechanism; not a physical proof

Falsifier: a derivation from the treatise that fixed d, the prefactor or D_ent would turn Γ₀(δ₀) into a prediction of the cycle (Thm. 10.6, front 4); until then what is refutable are the measured scaling laws and the fact that, with a thick wall, the discharge falls inside the nucleation — a Basal with a barrier ≫ T₀ (other O(1) shapes) would return the discharge to the Path flow

internal check (E8) under frozen preregistration; verdict (A yes, B yes, C no); n = 1 by the author's decision B (22 Sep 2026, derived from the treatise, declared), with the Γ₀ law conditional on D_ent (Kramers) and Gamow as a bound; E13 (Γ₀(0) = 0 holds in all three laws, none is a signal)

Falsifier: conditional on n_dim: with n = 1 the linear law would break if the prefactor were not the attempt frequency or if B₁ did not scale as δ₀²; with n = 4 if B did not diverge as δ₀⁻¹; the deformation would change verdict C if a non-radial term of the Basal (outside −η·χ) favored curved trajectories

internal check (E8) under frozen preregistration; MIXED verdict conditional on the declared C = V and on δ₀; |J| calibration, not derivation (E13)

Falsifier: a derivation of J from the ontology (front 2) that does not reproduce |J|_min ≈ 1.36–1.45 (with C = V, G = 1, default shapes) or that demands another generator C; a term of the program that moves the 2D vacuum out of the mass pole would change the letter F and the S_max

internal check (E8) under frozen preregistration; INDETERMINATE due to instrument gates; what is published outside the letter is descriptive, without a verdict (E13)

Falsifier: a new preregistration with d_sigma and max_steps that pass the gates over the whole grid and place the crossing at S = 1 ± 0.05 with either of the two terms (letter A); or a derivation of κ̂ or f_× from the ontology (front 2) that fixes its value without calibration

internal check (E8) under frozen preregistration; INDETERMINATE due to instrument gates; the exit times from the weak regime are published without a letter (E13)

Falsifier: a preregistered round 3 with the rank M(<r) updated in the sub-steps (or a lower dt floor and a larger wall-clock budget) that passes the gates in the six Cronos cells and classifies with a letter; or a form of ε_c(ρ) from the dictionary (saturating) under which the cusp does not leave the weak regime

instrument qualification (E8-Q), without a letter — limits measured and exclusion criterion computable before running; the exclusion coincides with the failed cell of round 2

Falsifier: a round 3 whose cell excluded a priori resolved the linear phase, or whose non-excluded cell failed because of the UV band, would refute the exclusion criterion as a predictor of the instrument (E8-Q, not physics)

instrument qualification (E8-Q), without a letter — floors, stationarity, exits and cost measured; the Newtonian ×3 gate is unreachable for the Cronos arms and is published before preregistering

Falsifier: a round 3 whose Cronos arms met the Newtonian gate (6.8e-6) would refute the measured floor; a series that measured t_weak different from 0.15 Myr with dt_max = 0.15 at ε_soft ≤ 0.05 would refute the declared quantization (E8-Q, not physics)

internal consistency check (E8) between stations with every non-derived link labeled; not an emergent simulation or a physical proof

Falsifier: the simulator becomes EMERGENT (and testable as such) only when front 2 delivers τ(S) and the primordial → cosmological dictionary exists; until then, what is refutable are its internal identities (S ≡ f, T₀, algebras, signature) and the finding δ₀_max(m̄, b̄, ē, C₀), which a derivation of the O(1) shapes could shift

preregistered numerical experiment EXECUTED with outcome INDETERMINATE — neither A nor B nor C; instrument (spherical mean field with fixed grid and delay, N = 4e5) not converged in the interior, and the continuum problem is ill-posed within r_CJ = 0.71 kpc (derivation of 21 Sep); not a physical proof (E8); the sign of the bands is not a signal (E13)

Falsifier: a round with a NEW preregistration (c′ criterion compatible with the stopping rule; field without delay or interior τ_avg ≤ t_dyn; convergence series k_inner 64/128/256 as a gate; zoom of the interior) that yields A, B or C decides what this round withholds. If the contracted interior turned out to be converged, the operational model (ΛCDM + Cronos at A_Sculptor) would predict dwarfs more concentrated than ΛCDM at ≲ 1 kpc; if a converged emptying resulted, it would predict the opposite: today neither of the two can be asserted