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ASTRAL GATELaboratory

Public research · PMR / CNG

Connecting-null-geodesic discovery scan

This page is the 20 September 2026 discovery freeze. The confirmatory window had not been computed that day. On 21 September it received a narrow pass, recorded on its own page. The grades below are not rewritten.

FREEZE 2026-09-20AS WRITTEN THAT DAY · WINDOW NOT YET COMPUTEDLATER NARROW PASSD FAIL RETAINEDGATE NO

AS WRITTEN 2026-09-20: DISCOVERY → STRONG EVIDENCE · CONFIRMATORY SCAN → NOT YET COMPUTED · CNG CONFIRMED → NOT YET · ASYMPTOTIC_STRUCTURE_MIXED · GLOBAL CONFIRM = FALSE

Validation checkpoint VAL-B1-PMR-CNG-DISCOVERY.

Three stages as written on 2026-09-20, before the window was computed

Historical 20 September 2026 discovery freeze: 51/51 at r=6M, ω∈[9.8,10.3], substantial evidence for predeclared ε₁=37.5. As written that day, the confirmatory window had not been computed. On 21 September that window received a narrow pass. Discovery grades D=FAIL and F=CRITERIA_GAP remain. Global structure is not established.

Do not flatten literature expectation, discovery evidence, and independent confirmation into a single “confirmed” stamp.

  1. 01 · Literature expectation

    ASYMPTOTIC_STRUCTURE_MIXED

    Levi–Ori t-splitting subtracts only the local coincidence polynomial. Remote connecting-null-geodesic oscillations remain. Pointwise decay of F_reg is not required before generalized integration. Published envelope at r=6M includes ∼ω^{5/2} for the relevant RSET integrand.

  2. 02 · Discovery evidence

    STRONG EVIDENCE

    Dense angular-gated scan 9.8≤ω≤10.3, Δω=0.01, 51/51 accepted. Predeclared ε_n never fitted. Fixed ε₁=37.5 H1 explains R²≈0.997 of F_reg^tt. Dominant residual projection is ε₁ by 6.72×. Split-window and tensor-component phases cohere. Not confirmation.

  3. 03 · Independent confirmation

    AS WRITTEN 2026-09-20: NOT YET COMPUTED

    Frozen before computation: non-overlapping window 10.40≤ω≤10.90, Δω=0.01, 51 points, ε₁=37.5 fixed. That is the 20 September wording. On 21 September this pipeline recorded a narrow pass of the predeclared oscillation. It is not a global confirmation. See the confirmation study.

Science plots

Plot 1 · discovery scan

F_reg^tt versus ω, 9.8–10.3

51 ANGULAR_ACCEPTED points. Solid: cubic + fixed ε₁=37.5 (H1, R²≈0.997). Dashed: smooth cubic only (H0, R²≈0.084). Frequency was never fitted.

Plot 2 · predeclared projections

Residual |P_n| after the smooth cubic

Dominant is argmax |P| among predeclared ε_n, not a surrogate ratio. ε₁=37.5 is 6.72× the next projection. The old discriminator that called ε₄ dominant is retired.

Plot 3 · cross-component

Normalized tt, rr, and θθ

Each trace is divided by its H1 amplitude. tt and rr track in phase. θθ is approximately π-shifted. All three H1 fits have R²≈0.997. Not confirmation.

Dense discovery scan

51 / 51 angular-accepted at r = 6M

9.8≤ω≤10.3,Δω=0.019.8\le\omega\le 10.3,\qquad \Delta\omega=0.01
points accepted
51 / 51
radius
6M
state
Hartle–Hawking
accepted L
120
ε_n (predeclared)
37.5, 70.17, 102.8, 135.5
frequencies fitted
NO

ε_n = {37.50, 70.17, 102.8, 135.5} were declared before examining the scan. Frequencies were never fitted to the numerical data. Observed extrema spacings are approximately 0.16–0.17, consistent with λ₁ = 2π/37.5 ≈ 0.16755.

Method audit

Original surrogate discriminator is invalidated

INVALIDATED_DO_NOT_USE_FOR_CNG_DECISION

Phase-randomized surrogates that preserve Fourier power also preserve the target spectral magnitude, so a ≥3× spectral-magnitude test cannot recognize even a perfect target sinusoid. A synthetic ε₁=37.5 sinusoid on the same 51-grid produced ratio ∼1.013, essentially the same as the real-data ratio.

The old discriminator called ε₄=135.5 “dominant” because it maximized the surrogate-normalized ratio rather than the actual predeclared projection magnitude |P|.

Actual residual projections: |P₁|=0.20922, |P₂|=0.03114, |P₃|=0.00808, |P₄|=0.00923. Dominant predeclared projection is ε₁=37.5 by 6.72×. Do not retune the old discriminator. It is retired.

Offline re-score

Criteria frozen before the existing 51 points were re-scored

Fixed primary frequency ε₁=37.5, never fitted. Models: H0 = cubic in (ω−10); H1 = cubic + A cos(37.5 ω) + B sin(37.5 ω).

  • A — Nested smooth vs fixed-CNG

    PASS

    H0 R²≈0.0838. H1 R²≈0.99722. ΔR²≈0.91346.

  • B — Dominant predeclared projection

    PASS

    ε₁=37.5 dominant by 6.72×. Dominant = argmax |P|, not surrogate ratio.

  • C — Split-window phase coherence

    PASS

    Δφ≈0.0354 rad. Both half-window R²≈0.9985.

  • D — Cross-half predict

    FAIL

    Full H1 cross-half extrapolation. Independently fitted cubic nuisance terms do not transfer. Historical FAIL is retained. Oscillatory-only transfer is diagnostic only and does not promote confirmation.

  • E — Cross-component coherence

    PASS

    tt R²≈0.99722. rr R²≈0.9972. θθ R²≈0.99724. tt and rr phases agree. θθ is approximately π-shifted relative to tt.

  • F — Smooth-null bootstrap

    F_CRITERIA_GAP

    A_obs≈0.92181, A_med≈0.28115, ratio≈3.28, p99≈0.61481. A_obs > p99 but A_obs/A_med < 5. Frozen F rules did not define this combination. Bookkeeping is F_CRITERIA_GAP, not HOLD.

OVERALL BOOKKEEPING

OFFLINE_RESCORE_UNCLASSIFIED_CRITERIA_GAP

Frozen grades A=PASS, B=PASS, C=PASS, D=FAIL, E=PASS, F=CRITERIA_GAP. The frozen overall decision table did not define this combination. Do not replace it with CNG_STRUCTURE_NOT_RESOLVED. Do not retroactively alter thresholds.

What this supports

Say the weaker true thing

ε1=37.5,λ1=2π/37.5≈0.16755\varepsilon_1=37.5,\qquad \lambda_1=2\pi/37.5\approx 0.16755

Yes: substantial numerical evidence for the predicted ε₁ CNG oscillatory structure

Yes: After Levi–Ori / PMR local singular subtraction, pointwise decay of F_reg(ω) is not required.

Yes: ASYMPTOTIC_STRUCTURE_MIXED remains the correct asymptotic classification.

Yes: Sparse growth through ω=12 is not automatically subtraction failure.

Not: numerical CNG confirmed

Not: CNG structure supported under the frozen overall table

Not: the old surrogate discriminator can be retuned

Not: a new local subtraction term is needed to force pointwise decay

Not: Abel production is validated

Not: Hartle–Hawking RSET has been reproduced

Not: a traversable gate has been demonstrated

What this page said was next

The window had not been computed on 20 September

10.40≤ω≤10.90,Δω=0.01,51 points10.40\le\omega\le 10.90,\qquad \Delta\omega=0.01,\qquad 51\ \mathrm{points}

As written on 2026-09-20: Frozen before new computation. This window is the primary next scientific discriminator. Results are not yet in. RUNNING is the experiment status, not a confirmation. Frozen discovery tt phase φ_tt ≈ 0.754. ε₁ remains 37.5. That wording is the freeze, not the current status. On 21 September the window received a narrow pass of this pipeline’s predeclared oscillation. It is not a global confirmation.

Open the 21 September narrow pass

Locks remain off

OUR_NUMERICAL_CNG_STRUCTURE_CONFIRMED
FALSE
ASYMPTOTIC_STRUCTURE_MIXED_GLOBAL_CONFIRM
FALSE
ABEL_PRODUCTION_VALIDATED
FALSE
B1_HH_REPRODUCTION_CLAIMED
FALSE
SIGN_VERDICT
UNRESOLVED
PRODUCTION_SIGN_FLIP
NO
GATE
NO
  • This is discovery evidence, not independent confirmation.
  • OUR_NUMERICAL_CNG_STRUCTURE_CONFIRMED = FALSE.
  • ASYMPTOTIC_STRUCTURE_MIXED_GLOBAL_CONFIRM = FALSE.
  • The first surrogate discriminator is invalidated and must not be used for a CNG verdict.
  • Offline re-score overall = OFFLINE_RESCORE_UNCLASSIFIED_CRITERIA_GAP.
  • Historical statistic D remains FAIL.
  • F is F_CRITERIA_GAP, not HOLD.

Frozen artifacts

Validation checkpointAsymptotic audit