FILES IN COLAB WORKSPACE
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FILES IN COLAB WORKSPACE
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Current directory: /content
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Psi_test9_final.npy
test10_9A_results.zip
kappa_0.15_history.json
Pi_test10_2_final.npy
Pi_test10_1_final.npy
kappa_0.01_psi_final.npy
Pi_test10_final.npy
test10_9_convergence.zip
gemini-code-1780149336660.py
Psi_test10_2_final.npy
test_1C_NarrowBand_periodic_consistent_20260524_165139.json
test10_3_peakfit_results.json
Pi_test7_final.npy
kappa_0.03_psi_final.npy
kappa_0.05_pi_final.npy
Psi_test10_final.npy
test6_dual_engine_log.csv
test19_delay_sponge_psi_final.npy
kappa_0.20_history.json
test_2_boosted_hollow_torus_20260525_233851.npz
test19_reduce_k_psi_final.npy
kappa_stability_outputs.zip
test10_3_regional_fft.json
Test10_1_Control_history.json
DOWNLOAD_ME_boosted_hollow_torus_20260525_233851.npz
kappa_0.20_pi_final.npy
R-BIG_GIANT_SOLVER_FILE_Test10_core_solver_BACKUP.py
kappa_0.00_pi_final.npy
test19_0_history.json
Pi_test9_final.npy
test10_2_history.json
Suite4_kappa_0.110_results.zip
kappa_0.01_pi_final.npy
test19_dynamic_dPsi_history.json
test10_3_history.json
kappa_0.05_history.json
test19_reduce_k_history.json
test10_7b_results.json
Suite1_kappa_0.080_results.zip
test7_long_horizon_torus_log.csv
test_1C_NarrowBand_20260524_120327.json
kappa_0.25_history.json
gate1_hamiltonian_evolution.py
10_8A_kappa_0.120_history.json
Psi_test10_3_final.npy
test_1B_resonant_band_20260524_003314_results.json
Psi_test7_final.npy
kappa_0.10_pi_final.npy
test_4_relaxed_state.npz
test10_4R_results (1).json
Psi_test10_1_final.npy
BIG_GIANT_SOLVER_FILE_Test10_core_solver.py
10_8A_kappa_0.080_history.json
test10_5_results.json
kappa_0.10_psi_final.npy
Pi_test8_final (1).npy
Pi_test8_final.npy
test_0A_hollow_torus_m1_20260525_220216.npz
Toroidal_Eigenmodes_FRCMFD_v2 (1).pdf
Suite3_kappa_0.100_results.zip
test_0A_soliton_20260523_195958.npz
kappa_0.05_psi_final.npy
10_8A_kappa_0.120_psi_final.npy
test19_0_history (1).json
test_0A_toroidal_m1_20260525_210939.npz
verification260531_results.json
test_0A_soliton_expanded_20260525_105922.npz
Psi_test8_final.npy
test19_dynamic_dPsi_psi_final.npy
kappa_0.03_pi_final.npy
test8_history.json
Pi_test10_3_final.npy
section11_2_core_relaxation_results.json
10_8A_kappa_0.110_history.json
kappa_0.15_psi_final.npy
test10_1_fft_corrected.json
test9_history.json
test19_delay_sponge_history.json
kappa_0.25_pi_final.npy
test19_dynamic_dPsi_pi_final.npy
test10_9B_results.zip
test10_2_fft_corrected.json
kappa_0.10_history.json
HOLLOW_TORUS_DOWNLOAD_ME.npz
test19_delay_sponge_pi_final.npy
test19_reduce_k_pi_final.npy
test_3_vacuum_stability_Lz240_axis_safe.npz
kappa_0.20_psi_final.npy
test_0A_soliton_20260523_195958 (2).npz
Suite5_kappa_0.120_results.zip
test_2_collision_0p30v_20260525_181619.npz
test_0A_soliton_expanded_20260525_010611.npz
test_4_relaxed_state (1).npz
kappa_0.01_history.json
Test10_1_Real_Physics_history.json
kappa_0.00_psi_final.npy
verification_results.json
test19_RK4_start_psi_final.npy
test_5_drift_isolation.npz
kappa_0.15_pi_final.npy
radial_operator_verified - Copy - Copy.py
test19_RK4_start_history.json
kappa_0.00_history.json
test19_RK4_start_pi_final.npy
test_1_velocity_saturation_20260523_211517_results.json
test_4_torus_stability_axis_safe.npz
kappa_0.25_psi_final.npy
Phase11x_scan_summary.json
test10_1_history.json
10_8A_kappa_0.100_history.json
test_1_velocity_saturation_refined_20260523_224009_results.json
TOROIDAL_SOLITON_DOWNLOAD_ME.npz
test_1C_resonant_band_momentum_20260524_103633_results.json
10_8A_kappa_0.090_history.json
Suite2_kappa_0.090_results.zip
10_8A_kappa_0.120_pi_final.npy
test10_history.json
test10_6_results.json
radial_operator_verified.py
Phase11x_scan_summary.csv
test10_1_fft_results.json
.config/
gce
.last_update_check.json
default_configs.db
active_config
.last_opt_in_prompt.yaml
.last_survey_prompt.yaml
config_sentinel
hidden_gcloud_config_universe_descriptor_data_cache_configs.db
configurations/
config_default
logs/
2026.06.04/
13.32.38.346437.log
13.32.02.654775.log
13.32.18.735754.log
13.32.39.344962.log
13.31.42.499627.log
13.32.21.210570.log
.ipynb_checkpoints/
sample_data/
anscombe.json
README.md
mnist_train_small.csv
california_housing_test.csv
california_housing_train.csv
mnist_test.csv
DEEPSEEK — RESPONSE TO NEW EVIDENCE & REVISED ASSESSMENT
First, A Correction
You have found radial_operator_verified.py — a legitimate cylindrical/axisymmetric radial operator builder. This changes the landscape significantly.
I was wrong to assume the cylindrical solver was lost. It was not lost; it was hiding in plain sight as a verified operator module.
What radial_operator_verified.py Actually Is
This is not a full time-evolution solver. It is a spatial operator builder for the radial direction in cylindrical coordinates.
Component Purpose
build_radial_operator_reduced() Constructs discrete radial Laplacian with Jacobian weighting
W_r = diags(r_grid * dr) Cylindrical volume weight (2πr dr)
Self-adjoint verification Ensures M = W_r @ L_r is symmetric
What this means: The axisymmetric solver existed, and it was sophisticated enough to include proper self-adjoint verification. This is not amateur code.
Where gate1_hamiltonian_evolution.py Fits
The name is a major clue:
Term Implication
gate1 Likely the first stage of a multi-stage pipeline
hamiltonian_evolution Suggests Hamiltonian (energy-conserving) time evolution
gate1_hamiltonian_evolution.py Could be the cylindrical time-evolution driver
This file is almost certainly the missing piece. I need to see its full contents.
The Revised Provenance Chain Hypothesis
Based on the evidence:
Stage File Purpose
1 radial_operator_verified.py Builds radial operator for cylindrical PDE
2 gate1_hamiltonian_evolution.py Time evolution driver (likely RK4 or similar)
3 test_4_torus_stability_axis_safe.npz Intermediate stability test output
4 test_4_relaxed_state.npz Final relaxed state from same pipeline
The files are likely siblings from the same axisymmetric simulation pipeline.
My Revised Answer To ChatGPT's Questions
Question 1 — Why Test B instead of provenance recovery?
I was wrong. Provenance recovery should come first.
The discovery of radial_operator_verified.py and gate1_hamiltonian_evolution.py changes the priority. We can now potentially recover the exact solver that created Test4.
Revised priority:
Recover full gate1_hamiltonian_evolution.py
Identify PDE parameters from that file
Then run Test B using the same solver family
Question 2 — The non-monotonic radial profile
I previously interpreted this as incomplete relaxation. However, ChatGPT raises a critical point:
"Averaging over 1200 axial cells can create strange radial averages."
This is correct. The radial profile I analyzed was rho.mean(axis=1) — an average over all z. If the object has axial structure (e.g., peaks at specific z locations), averaging will distort the radial profile.
What is needed: A 2D density map (|ψ(r,z)|²) to see the actual structure, not just projections.
Question 3 — Peak not on axis (r≈1.16)
I am less certain now than before.
Possible Cause Likelihood After New Evidence
Cylindrical grid regularization Higher — the radial operator uses offset=1, which may shift effective grid
True toroidal core Lower — amplitude at r=0 is 65% of peak
Numerical artifact Possible — needs 2D visualization
The 2D density map will resolve this immediately.
Question 4 — Is 0.595% sufficient evidence of convergence?
No. I was clear about this. A small boundary value does not prove convergence — only box-size scaling tests can do that.
But: With the cylindrical solver now potentially recovered, we can actually RUN those scaling tests.
Question 5 — Why assume the cylindrical solver is gone?
I was wrong. The evidence now strongly suggests the cylindrical solver exists in fragments:
radial_operator_verified.py (operator)
gate1_hamiltonian_evolution.py (likely time evolution)
test_4_torus_stability_axis_safe.npz (sibling output)
The solver is likely recoverable.
Question 6 — What is Test4?
My classification is now less confident than before.
The non-monotonic radial profile could be:
Real physical structure (toroidal ancestry)
Artifact of z-averaging (axial structure)
Incomplete relaxation
I cannot definitively classify Test4 without:
The full gate1_hamiltonian_evolution.py code
A 2D density map of Test4
The parameters (μ, λ, κ) used to generate it
What I Would Do Right Now
Priority Action Why
1 Get full contents of gate1_hamiltonian_evolution.py Likely the time-evolution driver
2 Compare test_4_torus_stability_axis_safe.npz keys with Test4 Confirm they are from same pipeline
3 Generate 2D density plot of Test4 Resolve projection ambiguity
4 If solver found, extract PDE parameters Scientific grounding
5 Then run Test B (single boosted propagation) Interpretable results
Immediate Next Actions
Action A: Get full gate1_hamiltonian_evolution.py
python
with open("/content/gate1_hamiltonian_evolution.py", "r") as f:
print(f.read())
Action B: Inspect test_4_torus_stability_axis_safe.npz
python
data2 = np.load("/content/test_4_torus_stability_axis_safe.npz")
print("Keys:", list(data2.keys()))
for k in data2.files:
arr = data2[k]
print(f"{k}: shape={arr.shape}, dtype={arr.dtype}")
Action C: 2D density plot of Test4
python
import matplotlib.pyplot as plt
psi = np.load("/content/test_4_relaxed_state.npz")["Psi_final"].reshape(200, 1200)
amp = np.abs(psi)
r = np.load("/content/test_4_relaxed_state.npz")["r_grid"]
z = np.load("/content/test_4_relaxed_state.npz")["z_grid"]
plt.figure(figsize=(12, 5))
plt.pcolormesh(z, r, amp, shading='auto', cmap='hot')
plt.colorbar(label='|ψ|')
plt.xlabel('z')
plt.ylabel('r')
plt.title('test_4_relaxed_state - 2D Density Map')
plt.show()
One-Sentence Summary
The discovery of radial_operator_verified.py and gate1_hamiltonian_evolution.py changes everything — the cylindrical solver likely still exists in fragments, provenance recovery is now the highest priority, and Test4's classification is uncertain until we see the full 2D density map and recover the solver parameters.
# Gate 1 script content
-- Keys: ['times', 'energies', 'norms', 'peaks']
times:
shape: (101,)
dtype: float64
values: [2.50e-04 5.00e-01 1.00e+00 1.50e+00 2.00e+00 2.50e+00 3.00e+00 3.50e+00
4.00e+00 4.50e+00 5.00e+00 5.50e+00 6.00e+00 6.50e+00 7.00e+00 7.50e+00
8.00e+00 8.50e+00 9.00e+00 9.50e+00 1.00e+01 1.05e+01 1.10e+01 1.15e+01
1.20e+01 1.25e+01 1.30e+01 1.35e+01 1.40e+01 1.45e+01 1.50e+01 1.55e+01
1.60e+01 1.65e+01 1.70e+01 1.75e+01 1.80e+01 1.85e+01 1.90e+01 1.95e+01
2.00e+01 2.05e+01 2.10e+01 2.15e+01 2.20e+01 2.25e+01 2.30e+01 2.35e+01
2.40e+01 2.45e+01 2.50e+01 2.55e+01 2.60e+01 2.65e+01 2.70e+01 2.75e+01
2.80e+01 2.85e+01 2.90e+01 2.95e+01 3.00e+01 3.05e+01 3.10e+01 3.15e+01
3.20e+01 3.25e+01 3.30e+01 3.35e+01 3.40e+01 3.45e+01 3.50e+01 3.55e+01
3.60e+01 3.65e+01 3.70e+01 3.75e+01 3.80e+01 3.85e+01 3.90e+01 3.95e+01
4.00e+01 4.05e+01 4.10e+01 4.15e+01 4.20e+01 4.25e+01 4.30e+01 4.35e+01
4.40e+01 4.45e+01 4.50e+01 4.55e+01 4.60e+01 4.65e+01 4.70e+01 4.75e+01
4.80e+01 4.85e+01 4.90e+01 4.95e+01 5.00e+01]
energies:
shape: (101,)
dtype: float64
values: [2585.78161848 2511.24331476 2264.83191162 2227.73222034 2358.19515561
2840.40007731 3434.95082616 3373.20115073 2738.93862923 2258.29673143
1998.16705906 1781.3312771 1573.40575459 1400.4041835 1306.31787005
1268.0493327 1202.48625148 1100.37063148 995.83055962 876.83870419
802.0855528 881.01263404 1017.59804201 1071.59422943 1060.29140662
1041.46225835 1029.37182805 1063.69154213 1174.59985039 1333.60455865
1516.77014127 1720.18493574 1985.39741402 2464.34930879 2967.09937449
2985.85197288 2740.59050518 2759.64969975 2724.4144915 2594.71948129
2544.82800836 2482.51887506 2303.09994768 2221.79605116 2352.00144753
2527.50557324 2848.92406993 3251.44036805 3247.56778052 2899.96282549
2555.74846407 2307.67641714 2109.57400523 1927.94367278 1750.53289546
1606.86901825 1519.78435075 1449.23903852 1376.60256074 1319.87893592
1244.64335074 1130.97058891 1073.58248182 1102.05286548 1142.6607292
1167.21135574 1189.06832683 1201.81822061 1216.34141229 1270.90093721
1384.4796423 1565.63140968 1801.20614379 2004.6052173 2254.6157755
2717.37263928 2972.70109682 2801.0159776 2598.94929058 2463.90822587
2292.7966527 2216.56314732 2293.02400893 2364.90216606 2417.11028991
2563.52204889 2652.59039349 2590.6361427 2655.00612667 2727.31044897
2642.21053198 2461.45430847 2270.96471633 2106.01366859 1973.33738954
1848.74913613 1712.8906457 1594.72969285 1506.47562946 1433.21412235
1399.22642788]
norms:
shape: (101,)
dtype: float64
values: [3035.82229674 2248.40895333 1159.51458402 711.0209496 650.97926977
1368.27288963 2643.41804594 2655.57279244 1712.42538126 1229.5251213
1176.44790331 1147.42168027 1043.30792789 931.0361281 925.93134605
998.4933869 968.48280599 827.73947116 663.39063372 452.10243776
319.68468989 501.81485925 801.92748113 893.36586652 830.02944618
738.98046735 638.9908081 606.23820973 693.93521451 826.27174782
929.53105974 980.67264394 1066.71894362 1486.13691513 1974.87499024
1624.55654775 1084.72700414 1275.67686529 1566.20758237 1686.74874951
1973.08040413 2047.24302099 1619.46770981 1286.76281987 1288.36543239
1324.86179056 1621.99361879 2247.73989928 2372.11119884 1987.49826335
1655.73672562 1504.43670834 1424.95649731 1336.22216765 1209.36240498
1110.90993667 1095.3935251 1082.3799797 1036.52830816 1002.50145143
911.89419583 725.95125292 641.90927167 723.00512313 814.89295134
857.04299459 875.6340719 849.9809907 796.10964736 784.8098928
838.15430504 943.74389106 1045.64301785 1007.25005421 1045.27025147
1546.90534966 1837.29653096 1536.82239875 1335.72139222 1321.68902252
1212.89652003 1265.2018471 1608.47204941 1788.47485876 1738.31232212
1740.27469464 1623.98859702 1339.37794353 1413.07207981 1700.05314351
1797.34813556 1718.85963562 1598.53692149 1498.79616061 1435.11136002
1358.70745392 1231.54005266 1117.91778181 1045.68975963 985.27284209
988.98074197]
peaks:
shape: (101,)
dtype: float64
values: [1.07209403 0.77940089 0.48562975 0.42768041 0.46457255 0.59787366
0.86794413 0.71433849 0.47512395 0.35925744 0.43871141 0.44920398
0.42337819 0.39247576 0.36351898 0.36815424 0.32588063 0.29493735
0.26816268 0.21365033 0.18667303 0.37904071 0.44331279 0.36174051
0.29648923 0.25479367 0.22781093 0.23599781 0.25365862 0.27232299
0.29489661 0.32539746 0.37613937 0.49281228 0.59080934 0.45083253
0.35111073 0.45471475 0.48594406 0.42694837 0.56194252 0.53468786
0.47606569 0.4275347 0.38867246 0.35722555 0.34150906 0.50758583
0.45696466 0.40049517 0.35724559 0.32255435 0.29376847 0.26935092
0.24830635 0.22997014 0.21380156 0.20420491 0.18658847 0.18479129
0.18371048 0.18144784 0.17781053 0.24082256 0.2258222 0.20415043
0.18746052 0.1753004 0.16964722 0.17831711 0.19620409 0.22308664
0.24034973 0.20689669 0.24370609 0.43691138 0.42369682 0.37230332
0.3327915 0.30174565 0.2771726 0.30966081 0.41631808 0.38853057
0.36329161 0.34228353 0.32455096 0.30937371 0.29622274 0.34234608
0.31339865 0.28598462 0.26376411 0.25085447 0.24379689 0.23691902
0.23012539 0.2234516 0.21700039 0.21065346 0.20380491]
--
Peak amplitude: 5.7191 at r=1.91
On-axis amplitude at peak z: 0.0000
Ratio (on-axis/peak): 0.0000
