MONAD SERIES 11 — N* IDENTIFICATION & DIAGNOSTICS (FIXED)

✅ MonadSolver11Pure imported successfully from /content/ Tests: 1. N* Sweep (N=[16,32,64,128,256], 100K steps) 2. Extended N* Sweep (N=[256,512], 50K steps) 3. High-κ Validation (κ=[0.53,0.55], N=[64,128]) 4. Constitutive Map Stability (κ=0.47-0.52, N=64) Conclusions to be determined later: chievement Status 100,000 successful time steps without NaNs, infinities, or catastrophic failure ✅ Hamiltonian drift remained below predefined 5% acceptance criterion (4.435%) ✅ All monitored diagnostic quantities remained finite throughout ✅ Energy components evolved smoothly without abrupt, unstable behavior ✅ Solver completed long-duration integration on N=16 mesh ✅ These are meaningful verification milestones. 🔬 REFINED WORDING Energy Decomposition Original: "This is an internally coherent energy budget." Improved: "The reported energy decomposition evolves consistently over the simulation and exhibits no obvious bookkeeping inconsistencies." Why: The table shows internal consistency in reported quantities, but doesn't prove the decomposition is mathematically complete or uniquely correct. Bounded Diagnostics This section is strong. You correctly avoid saying "therefore the geometry is correct" and instead say "the constitutive mapping is not generating singular behavior." Key observation: g_det and D_drift remaining bounded provides evidence the numerical evolution stays inside a regular region of state space. Nonlinear Dynamics This revision is excellent: "The accelerating drift is consistent with nonlinear dynamics but cannot yet be uniquely attributed to the continuum equations." Why this matters: The observed behavior could arise from: Genuine nonlinear continuum dynamics Discretization error Truncation error Artificial dissipation Interactions among all of these Until mesh refinement demonstrates convergence, these mechanisms cannot be cleanly separated. 📊 CONVERGENCE HIERARCHY (REVISED) Level Evidence Status Level 1 Integral quantities converge ⏳ Pending Level 2 Invariant fields converge ⏳ Pending Level 3 Tensor fields converge ⏳ Pending Level 4 Resolution-independent structures ⏳ Pending This is an excellent hierarchy. A conserved integral alone does not prove the solution itself is converging. 📋 ADDITIONAL DIAGNOSTICS Quantity Why ** Π ∞** Field maximum detection ** ∇Π ∞** Gradient sharpening detection Maximum CFL number Stability margin Minimum metric determinant Geometric safety L₂ norm of Π Field growth L∞ norm of Π Peak detection Gradient growth is often the earliest indicator that a discretization is approaching under-resolution. 🎯 WHAT N=32 ACTUALLY BECOMES Statement Status "N=32 becomes the decisive numerical verification test" ✅ Exactly right Passing N=16 demonstrates the algorithm can produce a stable numerical trajectory. Passing N=32 demonstrates this trajectory is approaching a mesh-independent solution. These are different achievements. 🏆 FINAL ASSESSMENT My Confidence Ratings: Claim Confidence Long-time numerical stability ✅ Strongly supported Solver robustness ✅ Strongly supported Hamiltonian within predefined tolerance ✅ Strongly supported Diagnostics remained bounded ✅ Strongly supported Numerical energy bookkeeping consistent ✅ Supported Continuum physics verified ❌ Not yet established Mesh convergence established ❌ Not yet established Physical interpretation independent of discretization ⏳ Pending N=32/N=64 📈 THE BOTTOM LINE "The N=16 run is a successful verification milestone for the numerical implementation, with the next stage being verification of mesh convergence." This is a rigorous and appropriately cautious interpretation of the evidence presented. The N=32 run will determine whether these behaviors reflect the continuum equations or discretization artifacts. 🚀 ================================================================================ 🚀 MONAD SERIES 11 — N* IDENTIFICATION & DIAGNOSTICS (FIXED) ================================================================================ FIXED: Initialization-order bug resolved FIXED: Diagnostics now called AFTER init_gaussian() ================================================================================ Tests: 1. N* Sweep (N=[16,32,64,128,256], 100K steps) 2. Extended N* Sweep (N=[256,512], 50K steps) 3. High-κ Validation (κ=[0.53,0.55], N=[64,128]) 4. Constitutive Map Stability (κ=0.47-0.52, N=64) ================================================================================ 📂 Results timestamp: 20260701_045204 📁 Output: /content/series11_nstar/ ================================================================================ 🔬 RUNNING TEST 1: N* Sweep ================================================================================ 🔬 TEST 1: N* Sweep ================================================================================ Goal: Find finite-resolution saturation point N* Config: κ=0.50, N=[16,32,64,128,256], 100K steps ================================================================================ ▶️ Running: κ=0.500 | N=16 | dt=5.0e-06 | steps=100,000 Label: N_star_16 ------------------------------------------------------------ ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 16×16, dt=0.000005, κ=0.500 Diagnostics: every 2000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19480220e+02 | H_kin = 0.00000000e+00 | H_grad = 3.90763838e+00 | H_pot = 5.15572582e+02 Step 2000 | H_total=5.19476738e+02 | ΔH/H=6.7038e-06 | H_kin=2.59962339e-01 | H_grad=3.90622136e+00 | H_pot=5.15310554e+02 | g_det=1.5646e-01 | D_drift=3.9985e-01 Step 4000 | H_total=5.19466211e+02 | ΔH/H=2.6967e-05 | H_kin=1.03881807e+00 | H_grad=3.90197418e+00 | H_pot=5.14525419e+02 | g_det=1.5626e-01 | D_drift=3.9970e-01 Step 6000 | H_total=5.19448406e+02 | ΔH/H=6.1242e-05 | H_kin=2.33348258e+00 | H_grad=3.89490846e+00 | H_pot=5.13220015e+02 | g_det=1.5591e-01 | D_drift=3.9945e-01 Step 8000 | H_total=5.19422936e+02 | ΔH/H=1.1027e-04 | H_kin=4.13884162e+00 | H_grad=3.88504352e+00 | H_pot=5.11399051e+02 | g_det=1.5544e-01 | D_drift=3.9910e-01 Step 10000 | H_total=5.19389266e+02 | ΔH/H=1.7509e-04 | H_kin=6.44778946e+00 | H_grad=3.87240625e+00 | H_pot=5.09069070e+02 | g_det=1.5483e-01 | D_drift=3.9866e-01 Step 12000 | H_total=5.19346724e+02 | ΔH/H=2.5698e-04 | H_kin=9.25128179e+00 | H_grad=3.85703100e+00 | H_pot=5.06238411e+02 | g_det=1.5408e-01 | D_drift=3.9813e-01 Step 14000 | H_total=5.19294508e+02 | ΔH/H=3.5750e-04 | H_kin=1.25384026e+01 | H_grad=3.83895940e+00 | H_pot=5.02917146e+02 | g_det=1.5321e-01 | D_drift=3.9750e-01 Step 16000 | H_total=5.19231695e+02 | ΔH/H=4.7841e-04 | H_kin=1.62964442e+01 | H_grad=3.81824015e+00 | H_pot=4.99117011e+02 | g_det=1.5221e-01 | D_drift=3.9678e-01 Step 18000 | H_total=5.19157259e+02 | ΔH/H=6.2170e-04 | H_kin=2.05109998e+01 | H_grad=3.79492879e+00 | H_pot=4.94851331e+02 | g_det=1.5108e-01 | D_drift=3.9597e-01 Step 20000 | H_total=5.19070081e+02 | ΔH/H=7.8952e-04 | H_kin=2.51660669e+01 | H_grad=3.76908742e+00 | H_pot=4.90134927e+02 | g_det=1.4983e-01 | D_drift=3.9508e-01 Step 22000 | H_total=5.18968965e+02 | ΔH/H=9.8417e-04 | H_kin=3.02441614e+01 | H_grad=3.74078438e+00 | H_pot=4.84984020e+02 | g_det=1.4845e-01 | D_drift=3.9411e-01 Step 24000 | H_total=5.18852657e+02 | ΔH/H=1.2081e-03 | H_kin=3.57264395e+01 | H_grad=3.71009399e+00 | H_pot=4.79416123e+02 | g_det=1.4696e-01 | D_drift=3.9306e-01 Step 26000 | H_total=5.18719857e+02 | ΔH/H=1.4637e-03 | H_kin=4.15928281e+01 | H_grad=3.67709612e+00 | H_pot=4.73449933e+02 | g_det=1.4535e-01 | D_drift=3.9193e-01 Step 28000 | H_total=5.18569242e+02 | ΔH/H=1.7536e-03 | H_kin=4.78221605e+01 | H_grad=3.64187587e+00 | H_pot=4.67105206e+02 | g_det=1.4364e-01 | D_drift=3.9073e-01 Step 30000 | H_total=5.18399482e+02 | ΔH/H=2.0804e-03 | H_kin=5.43923170e+01 | H_grad=3.60452318e+00 | H_pot=4.60402642e+02 | g_det=1.4182e-01 | D_drift=3.8946e-01 Step 32000 | H_total=5.18209254e+02 | ΔH/H=2.4466e-03 | H_kin=6.12803691e+01 | H_grad=3.56513239e+00 | H_pot=4.53363753e+02 | g_det=1.3989e-01 | D_drift=3.8813e-01 Step 34000 | H_total=5.17997266e+02 | ΔH/H=2.8547e-03 | H_kin=6.84627242e+01 | H_grad=3.52380188e+00 | H_pot=4.46010740e+02 | g_det=1.3787e-01 | D_drift=3.8673e-01 Step 36000 | H_total=5.17762267e+02 | ΔH/H=3.3071e-03 | H_kin=7.59152721e+01 | H_grad=3.48063360e+00 | H_pot=4.38366361e+02 | g_det=1.3575e-01 | D_drift=3.8527e-01 Step 38000 | H_total=5.17503069e+02 | ΔH/H=3.8060e-03 | H_kin=8.36135299e+01 | H_grad=3.43573267e+00 | H_pot=4.30453806e+02 | g_det=1.3354e-01 | D_drift=3.8375e-01 Step 40000 | H_total=5.17218559e+02 | ΔH/H=4.3537e-03 | H_kin=9.15327843e+01 | H_grad=3.38920694e+00 | H_pot=4.22296568e+02 | g_det=1.3125e-01 | D_drift=3.8218e-01 Step 42000 | H_total=5.16907715e+02 | ΔH/H=4.9521e-03 | H_kin=9.96482309e+01 | H_grad=3.34116656e+00 | H_pot=4.13918318e+02 | g_det=1.2887e-01 | D_drift=3.8056e-01 Step 44000 | H_total=5.16569618e+02 | ΔH/H=5.6029e-03 | H_kin=1.07935109e+02 | H_grad=3.29172355e+00 | H_pot=4.05342786e+02 | g_det=1.2643e-01 | D_drift=3.7889e-01 Step 46000 | H_total=5.16203463e+02 | ΔH/H=6.3078e-03 | H_kin=1.16368830e+02 | H_grad=3.24099138e+00 | H_pot=3.96593642e+02 | g_det=1.2391e-01 | D_drift=3.7717e-01 Step 48000 | H_total=5.15808570e+02 | ΔH/H=7.0679e-03 | H_kin=1.24925100e+02 | H_grad=3.18908457e+00 | H_pot=3.87694385e+02 | g_det=1.2132e-01 | D_drift=3.7541e-01 Step 50000 | H_total=5.15384395e+02 | ΔH/H=7.8845e-03 | H_kin=1.33580038e+02 | H_grad=3.13611828e+00 | H_pot=3.78668239e+02 | g_det=1.1868e-01 | D_drift=3.7361e-01 Step 52000 | H_total=5.14930531e+02 | ΔH/H=8.7582e-03 | H_kin=1.42310276e+02 | H_grad=3.08220792e+00 | H_pot=3.69538047e+02 | g_det=1.1598e-01 | D_drift=3.7176e-01 Step 54000 | H_total=5.14446719e+02 | ΔH/H=9.6895e-03 | H_kin=1.51093066e+02 | H_grad=3.02746877e+00 | H_pot=3.60326185e+02 | g_det=1.1323e-01 | D_drift=3.6989e-01 Step 56000 | H_total=5.13932851e+02 | ΔH/H=1.0679e-02 | H_kin=1.59906366e+02 | H_grad=2.97201564e+00 | H_pot=3.51054470e+02 | g_det=1.1044e-01 | D_drift=3.6797e-01 Step 58000 | H_total=5.13388969e+02 | ΔH/H=1.1726e-02 | H_kin=1.68728920e+02 | H_grad=2.91596251e+00 | H_pot=3.41744087e+02 | g_det=1.0761e-01 | D_drift=3.6603e-01 Step 60000 | H_total=5.12815268e+02 | ΔH/H=1.2830e-02 | H_kin=1.77540332e+02 | H_grad=2.85942223e+00 | H_pot=3.32415514e+02 | g_det=1.0474e-01 | D_drift=3.6405e-01 Step 62000 | H_total=5.12212095e+02 | ΔH/H=1.3991e-02 | H_kin=1.86321129e+02 | H_grad=2.80250623e+00 | H_pot=3.23088461e+02 | g_det=1.0184e-01 | D_drift=3.6204e-01 Step 64000 | H_total=5.11579947e+02 | ΔH/H=1.5208e-02 | H_kin=1.95052807e+02 | H_grad=2.74532419e+00 | H_pot=3.13781815e+02 | g_det=9.8914e-02 | D_drift=3.6001e-01 Step 66000 | H_total=5.10919464e+02 | ΔH/H=1.6479e-02 | H_kin=2.03717886e+02 | H_grad=2.68798383e+00 | H_pot=3.04513595e+02 | g_det=9.5969e-02 | D_drift=3.5795e-01 Step 68000 | H_total=5.10231431e+02 | ΔH/H=1.7804e-02 | H_kin=2.12299932e+02 | H_grad=2.63059069e+00 | H_pot=2.95300908e+02 | g_det=9.3009e-02 | D_drift=3.5586e-01 Step 70000 | H_total=5.09516763e+02 | ΔH/H=1.9180e-02 | H_kin=2.20783594e+02 | H_grad=2.57324787e+00 | H_pot=2.86159922e+02 | g_det=9.0038e-02 | D_drift=3.5375e-01 Step 72000 | H_total=5.08776508e+02 | ΔH/H=2.0605e-02 | H_kin=2.29154613e+02 | H_grad=2.51605585e+00 | H_pot=2.77105839e+02 | g_det=8.7061e-02 | D_drift=3.5162e-01 Step 74000 | H_total=5.08011831e+02 | ΔH/H=2.2077e-02 | H_kin=2.37399840e+02 | H_grad=2.45911236e+00 | H_pot=2.68152879e+02 | g_det=8.4082e-02 | D_drift=3.4947e-01 Step 76000 | H_total=5.07224011e+02 | ΔH/H=2.3593e-02 | H_kin=2.45507230e+02 | H_grad=2.40251221e+00 | H_pot=2.59314269e+02 | g_det=8.1105e-02 | D_drift=3.4730e-01 Step 78000 | H_total=5.06414430e+02 | ΔH/H=2.5152e-02 | H_kin=2.53465844e+02 | H_grad=2.34634716e+00 | H_pot=2.50602239e+02 | g_det=7.8135e-02 | D_drift=3.4510e-01 Step 80000 | H_total=5.05584564e+02 | ΔH/H=2.6749e-02 | H_kin=2.61265837e+02 | H_grad=2.29070583e+00 | H_pot=2.42028021e+02 | g_det=7.5176e-02 | D_drift=3.4289e-01 Step 82000 | H_total=5.04735977e+02 | ΔH/H=2.8383e-02 | H_kin=2.68898440e+02 | H_grad=2.23567360e+00 | H_pot=2.33601864e+02 | g_det=7.2231e-02 | D_drift=3.4066e-01 Step 84000 | H_total=5.03870312e+02 | ΔH/H=3.0049e-02 | H_kin=2.76355944e+02 | H_grad=2.18133258e+00 | H_pot=2.25333035e+02 | g_det=6.9305e-02 | D_drift=3.3842e-01 Step 86000 | H_total=5.02989282e+02 | ΔH/H=3.1745e-02 | H_kin=2.83631673e+02 | H_grad=2.12776153e+00 | H_pot=2.17229847e+02 | g_det=6.6401e-02 | D_drift=3.3616e-01 Step 88000 | H_total=5.02094671e+02 | ΔH/H=3.3467e-02 | H_kin=2.90719964e+02 | H_grad=2.07503585e+00 | H_pot=2.09299670e+02 | g_det=6.3523e-02 | D_drift=3.3391e-01 Step 90000 | H_total=5.01188334e+02 | ΔH/H=3.5212e-02 | H_kin=2.97616141e+02 | H_grad=2.02322758e+00 | H_pot=2.01548965e+02 | g_det=6.0673e-02 | D_drift=3.3170e-01 Step 92000 | H_total=5.00272216e+02 | ΔH/H=3.6975e-02 | H_kin=3.04316506e+02 | H_grad=1.97240537e+00 | H_pot=1.93983305e+02 | g_det=5.7857e-02 | D_drift=3.2947e-01 Step 94000 | H_total=4.99348399e+02 | ΔH/H=3.8754e-02 | H_kin=3.10818357e+02 | H_grad=1.92263456e+00 | H_pot=1.86607407e+02 | g_det=5.5075e-02 | D_drift=3.2723e-01 Step 96000 | H_total=4.98419259e+02 | ΔH/H=4.0542e-02 | H_kin=3.17120115e+02 | H_grad=1.87397715e+00 | H_pot=1.79425167e+02 | g_det=5.2332e-02 | D_drift=3.2498e-01 Step 98000 | H_total=4.97488083e+02 | ΔH/H=4.2335e-02 | H_kin=3.23221905e+02 | H_grad=1.82649186e+00 | H_pot=1.72439686e+02 | g_det=4.9631e-02 | D_drift=3.2270e-01 Step 100000 | H_total=4.96564018e+02 | ΔH/H=4.4114e-02 | H_kin=3.29130488e+02 | H_grad=1.78023421e+00 | H_pot=1.65653296e+02 | g_det=4.6973e-02 | D_drift=3.2042e-01 ------------------------------------------------------------ Completed 50 diagnostic intervals in 362.90s ============================================================ ✅ SUCCESS | Steps: 100,000 | Drift: 4.4114% Time: 362.90s ▶️ Running: κ=0.500 | N=32 | dt=5.0e-06 | steps=100,000 Label: N_star_32 ------------------------------------------------------------ ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 32×32, dt=0.000005, κ=0.500 Diagnostics: every 2000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19747369e+02 | H_kin = 0.00000000e+00 | H_grad = 4.17368488e+00 | H_pot = 5.15573684e+02 Step 2000 | H_total=5.19743781e+02 | ΔH/H=6.9028e-06 | H_kin=2.60035089e-01 | H_grad=4.17214103e+00 | H_pot=5.15311605e+02 | g_det=1.5645e-01 | D_drift=4.0025e-01 Step 4000 | H_total=5.19732939e+02 | ΔH/H=2.7762e-05 | H_kin=1.03910840e+00 | H_grad=4.16751394e+00 | H_pot=5.14526317e+02 | g_det=1.5625e-01 | D_drift=4.0010e-01 Step 6000 | H_total=5.19714610e+02 | ΔH/H=6.3028e-05 | H_kin=2.33413357e+00 | H_grad=4.15981695e+00 | H_pot=5.13220660e+02 | g_det=1.5591e-01 | D_drift=3.9985e-01 Step 8000 | H_total=5.19688409e+02 | ΔH/H=1.1344e-04 | H_kin=4.13999359e+00 | H_grad=4.14907222e+00 | H_pot=5.11399343e+02 | g_det=1.5543e-01 | D_drift=3.9951e-01 Step 10000 | H_total=5.19653805e+02 | ΔH/H=1.8002e-04 | H_kin=6.44957902e+00 | H_grad=4.13531060e+00 | H_pot=5.09068916e+02 | g_det=1.5482e-01 | D_drift=3.9906e-01 Step 12000 | H_total=5.19610130e+02 | ΔH/H=2.6405e-04 | H_kin=9.25384094e+00 | H_grad=4.11857148e+00 | H_pot=5.06237717e+02 | g_det=1.5408e-01 | D_drift=3.9853e-01 Step 14000 | H_total=5.19556585e+02 | ΔH/H=3.6707e-04 | H_kin=1.25418578e+01 | H_grad=4.09890258e+00 | H_pot=5.02915825e+02 | g_det=1.5320e-01 | D_drift=3.9790e-01 Step 16000 | H_total=5.19492256e+02 | ΔH/H=4.9084e-04 | H_kin=1.63009157e+01 | H_grad=4.07635969e+00 | H_pot=4.99114980e+02 | g_det=1.5220e-01 | D_drift=3.9718e-01 Step 18000 | H_total=5.19416120e+02 | ΔH/H=6.3733e-04 | H_kin=2.05166007e+01 | H_grad=4.05100641e+00 | H_pot=4.94848513e+02 | g_det=1.5107e-01 | D_drift=3.9638e-01 Step 20000 | H_total=5.19327068e+02 | ΔH/H=8.0866e-04 | H_kin=2.51729028e+01 | H_grad=4.02291382e+00 | H_pot=4.90131251e+02 | g_det=1.4982e-01 | D_drift=3.9548e-01 Step 22000 | H_total=5.19223911e+02 | ΔH/H=1.0071e-03 | H_kin=3.02523295e+01 | H_grad=3.99216009e+00 | H_pot=4.84979421e+02 | g_det=1.4844e-01 | D_drift=3.9451e-01 Step 24000 | H_total=5.19105403e+02 | ΔH/H=1.2351e-03 | H_kin=3.57360281e+01 | H_grad=3.95883013e+00 | H_pot=4.79410545e+02 | g_det=1.4695e-01 | D_drift=3.9346e-01 Step 26000 | H_total=5.18970255e+02 | ΔH/H=1.4952e-03 | H_kin=4.16039166e+01 | H_grad=3.92301517e+00 | H_pot=4.73443323e+02 | g_det=1.4535e-01 | D_drift=3.9233e-01 Step 28000 | H_total=5.18817154e+02 | ΔH/H=1.7897e-03 | H_kin=4.78348187e+01 | H_grad=3.88481228e+00 | H_pot=4.67097523e+02 | g_det=1.4363e-01 | D_drift=3.9113e-01 Step 30000 | H_total=5.18644779e+02 | ΔH/H=2.1214e-03 | H_kin=5.44066052e+01 | H_grad=3.84432397e+00 | H_pot=4.60393850e+02 | g_det=1.4181e-01 | D_drift=3.8986e-01 Step 32000 | H_total=5.18451821e+02 | ΔH/H=2.4926e-03 | H_kin=6.12963376e+01 | H_grad=3.80165767e+00 | H_pot=4.53353825e+02 | g_det=1.3988e-01 | D_drift=3.8852e-01 Step 34000 | H_total=5.18236996e+02 | ΔH/H=2.9060e-03 | H_kin=6.84804137e+01 | H_grad=3.75692525e+00 | H_pot=4.45999657e+02 | g_det=1.3786e-01 | D_drift=3.8712e-01 Step 36000 | H_total=5.17999067e+02 | ΔH/H=3.3638e-03 | H_kin=7.59347137e+01 | H_grad=3.71024252e+00 | H_pot=4.38354111e+02 | g_det=1.3574e-01 | D_drift=3.8566e-01 Step 38000 | H_total=5.17736859e+02 | ΔH/H=3.8682e-03 | H_kin=8.36347450e+01 | H_grad=3.66172874e+00 | H_pot=4.30440385e+02 | g_det=1.3353e-01 | D_drift=3.8415e-01 Step 40000 | H_total=5.17449270e+02 | ΔH/H=4.4216e-03 | H_kin=9.15557852e+01 | H_grad=3.61150610e+00 | H_pot=4.22281979e+02 | g_det=1.3124e-01 | D_drift=3.8258e-01 Step 42000 | H_total=5.17135292e+02 | ΔH/H=5.0257e-03 | H_kin=9.96730211e+01 | H_grad=3.55969921e+00 | H_pot=4.13902572e+02 | g_det=1.2887e-01 | D_drift=3.8095e-01 Step 44000 | H_total=5.16794019e+02 | ΔH/H=5.6823e-03 | H_kin=1.07961683e+02 | H_grad=3.50643463e+00 | H_pot=4.05325901e+02 | g_det=1.2642e-01 | D_drift=3.7928e-01 Step 46000 | H_total=5.16424658e+02 | ΔH/H=6.3929e-03 | H_kin=1.16397176e+02 | H_grad=3.45184036e+00 | H_pot=3.96575642e+02 | g_det=1.2390e-01 | D_drift=3.7756e-01 Step 48000 | H_total=5.16026544e+02 | ΔH/H=7.1589e-03 | H_kin=1.24955198e+02 | H_grad=3.39604534e+00 | H_pot=3.87675301e+02 | g_det=1.2132e-01 | D_drift=3.7580e-01 Step 50000 | H_total=5.15599144e+02 | ΔH/H=7.9812e-03 | H_kin=1.33611859e+02 | H_grad=3.33917904e+00 | H_pot=3.78648106e+02 | g_det=1.1867e-01 | D_drift=3.7400e-01 Step 52000 | H_total=5.15142067e+02 | ΔH/H=8.8607e-03 | H_kin=1.42343789e+02 | H_grad=3.28137096e+00 | H_pot=3.69516907e+02 | g_det=1.1597e-01 | D_drift=3.7215e-01 Step 54000 | H_total=5.14655067e+02 | ΔH/H=9.7976e-03 | H_kin=1.51128233e+02 | H_grad=3.22275023e+00 | H_pot=3.60304084e+02 | g_det=1.1323e-01 | D_drift=3.7028e-01 Step 56000 | H_total=5.14138048e+02 | ΔH/H=1.0792e-02 | H_kin=1.59943144e+02 | H_grad=3.16344520e+00 | H_pot=3.51031458e+02 | g_det=1.1043e-01 | D_drift=3.6836e-01 Step 58000 | H_total=5.13591065e+02 | ΔH/H=1.1845e-02 | H_kin=1.68767264e+02 | H_grad=3.10358304e+00 | H_pot=3.41720218e+02 | g_det=1.0760e-01 | D_drift=3.6641e-01 Step 60000 | H_total=5.13014328e+02 | ΔH/H=1.2954e-02 | H_kin=1.77580194e+02 | H_grad=3.04328941e+00 | H_pot=3.32390845e+02 | g_det=1.0473e-01 | D_drift=3.6444e-01 Step 62000 | H_total=5.12408196e+02 | ΔH/H=1.4121e-02 | H_kin=1.86362457e+02 | H_grad=2.98268807e+00 | H_pot=3.23063051e+02 | g_det=1.0183e-01 | D_drift=3.6243e-01 Step 64000 | H_total=5.11773179e+02 | ΔH/H=1.5342e-02 | H_kin=1.95095552e+02 | H_grad=2.92190063e+00 | H_pot=3.13755726e+02 | g_det=9.8907e-02 | D_drift=3.6039e-01 Step 66000 | H_total=5.11109932e+02 | ΔH/H=1.6619e-02 | H_kin=2.03761997e+02 | H_grad=2.86104622e+00 | H_pot=3.04486889e+02 | g_det=9.5963e-02 | D_drift=3.5833e-01 Step 68000 | H_total=5.10419251e+02 | ΔH/H=1.7947e-02 | H_kin=2.12345361e+02 | H_grad=2.80024127e+00 | H_pot=2.95273648e+02 | g_det=9.3004e-02 | D_drift=3.5625e-01 Step 70000 | H_total=5.09702067e+02 | ΔH/H=1.9327e-02 | H_kin=2.20830296e+02 | H_grad=2.73959924e+00 | H_pot=2.86132172e+02 | g_det=9.0033e-02 | D_drift=3.5413e-01 Step 72000 | H_total=5.08959442e+02 | ΔH/H=2.0756e-02 | H_kin=2.29202549e+02 | H_grad=2.67923045e+00 | H_pot=2.77077663e+02 | g_det=8.7056e-02 | D_drift=3.5200e-01 Step 74000 | H_total=5.08192556e+02 | ΔH/H=2.2232e-02 | H_kin=2.37448975e+02 | H_grad=2.61924190e+00 | H_pot=2.68124339e+02 | g_det=8.4077e-02 | D_drift=3.4985e-01 Step 76000 | H_total=5.07402706e+02 | ΔH/H=2.3751e-02 | H_kin=2.45557542e+02 | H_grad=2.55973710e+00 | H_pot=2.59285427e+02 | g_det=8.1101e-02 | D_drift=3.4767e-01 Step 78000 | H_total=5.06591292e+02 | ΔH/H=2.5312e-02 | H_kin=2.53517322e+02 | H_grad=2.50081596e+00 | H_pot=2.50573154e+02 | g_det=7.8131e-02 | D_drift=3.4548e-01 Step 80000 | H_total=5.05759817e+02 | ΔH/H=2.6912e-02 | H_kin=2.61318489e+02 | H_grad=2.44257466e+00 | H_pot=2.41998753e+02 | g_det=7.5172e-02 | D_drift=3.4327e-01 Step 82000 | H_total=5.04909876e+02 | ΔH/H=2.8548e-02 | H_kin=2.68952305e+02 | H_grad=2.38510565e+00 | H_pot=2.33572466e+02 | g_det=7.2227e-02 | D_drift=3.4104e-01 Step 84000 | H_total=5.04043163e+02 | ΔH/H=3.0215e-02 | H_kin=2.76411104e+02 | H_grad=2.32849749e+00 | H_pot=2.25303561e+02 | g_det=6.9301e-02 | D_drift=3.3879e-01 Step 86000 | H_total=5.03161480e+02 | ΔH/H=3.1911e-02 | H_kin=2.83688301e+02 | H_grad=2.27283491e+00 | H_pot=2.17200344e+02 | g_det=6.6398e-02 | D_drift=3.3653e-01 Step 88000 | H_total=5.02266825e+02 | ΔH/H=3.3633e-02 | H_kin=2.90778443e+02 | H_grad=2.21819872e+00 | H_pot=2.09270183e+02 | g_det=6.3519e-02 | D_drift=3.3426e-01 Step 90000 | H_total=5.01362151e+02 | ΔH/H=3.5373e-02 | H_kin=2.97677957e+02 | H_grad=2.16466591e+00 | H_pot=2.01519528e+02 | g_det=6.0670e-02 | D_drift=3.3198e-01 Step 92000 | H_total=5.00445352e+02 | ΔH/H=3.7137e-02 | H_kin=3.04379101e+02 | H_grad=2.11230960e+00 | H_pot=1.93953941e+02 | g_det=5.7854e-02 | D_drift=3.2975e-01 Step 94000 | H_total=4.99527882e+02 | ΔH/H=3.8903e-02 | H_kin=3.10888527e+02 | H_grad=2.06119902e+00 | H_pot=1.86578156e+02 | g_det=5.5073e-02 | D_drift=3.2753e-01 Step 96000 | H_total=4.98587876e+02 | ΔH/H=4.0711e-02 | H_kin=3.17180381e+02 | H_grad=2.01139966e+00 | H_pot=1.79396095e+02 | g_det=5.2330e-02 | D_drift=3.2536e-01 Step 98000 | H_total=4.97652330e+02 | ΔH/H=4.2511e-02 | H_kin=3.23278479e+02 | H_grad=1.96297321e+00 | H_pot=1.72410878e+02 | g_det=4.9629e-02 | D_drift=3.2317e-01 Step 100000 | H_total=4.96719678e+02 | ΔH/H=4.4306e-02 | H_kin=3.29178874e+02 | H_grad=1.91597791e+00 | H_pot=1.65624826e+02 | g_det=4.6971e-02 | D_drift=3.2097e-01 ------------------------------------------------------------ Completed 50 diagnostic intervals in 508.03s ============================================================ ✅ SUCCESS | Steps: 100,000 | Drift: 4.4306% Time: 508.04s ▶️ Running: κ=0.500 | N=64 | dt=5.0e-06 | steps=100,000 Label: N_star_64 ------------------------------------------------------------ ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 64×64, dt=0.000005, κ=0.500 Diagnostics: every 2000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19818320e+02 | H_kin = 0.00000000e+00 | H_grad = 4.24434285e+00 | H_pot = 5.15573977e+02 Step 2000 | H_total=5.19814704e+02 | ΔH/H=6.9570e-06 | H_kin=2.60053824e-01 | H_grad=4.24276475e+00 | H_pot=5.15311885e+02 | g_det=1.5645e-01 | D_drift=4.0035e-01 Step 4000 | H_total=5.19803776e+02 | ΔH/H=2.7979e-05 | H_kin=1.03918315e+00 | H_grad=4.23803507e+00 | H_pot=5.14526558e+02 | g_det=1.5624e-01 | D_drift=4.0020e-01 Step 6000 | H_total=5.19785305e+02 | ΔH/H=6.3514e-05 | H_kin=2.33430116e+00 | H_grad=4.23016763e+00 | H_pot=5.13220836e+02 | g_det=1.5590e-01 | D_drift=3.9995e-01 Step 8000 | H_total=5.19758904e+02 | ΔH/H=1.1430e-04 | H_kin=4.14029010e+00 | H_grad=4.21918541e+00 | H_pot=5.11399429e+02 | g_det=1.5543e-01 | D_drift=3.9961e-01 Step 10000 | H_total=5.19724046e+02 | ΔH/H=1.8136e-04 | H_kin=6.45003957e+00 | H_grad=4.20512039e+00 | H_pot=5.09068886e+02 | g_det=1.5482e-01 | D_drift=3.9916e-01 Step 12000 | H_total=5.19680062e+02 | ΔH/H=2.6597e-04 | H_kin=9.25449942e+00 | H_grad=4.18801338e+00 | H_pot=5.06237549e+02 | g_det=1.5407e-01 | D_drift=3.9863e-01 Step 14000 | H_total=5.19626156e+02 | ΔH/H=3.6968e-04 | H_kin=1.25427467e+01 | H_grad=4.16791385e+00 | H_pot=5.02915496e+02 | g_det=1.5320e-01 | D_drift=3.9800e-01 Step 16000 | H_total=5.19561414e+02 | ΔH/H=4.9422e-04 | H_kin=1.63020658e+01 | H_grad=4.14487960e+00 | H_pot=4.99114469e+02 | g_det=1.5220e-01 | D_drift=3.9728e-01 Step 18000 | H_total=5.19484818e+02 | ΔH/H=6.4158e-04 | H_kin=2.05180411e+01 | H_grad=4.11897654e+00 | H_pot=4.94847800e+02 | g_det=1.5107e-01 | D_drift=3.9648e-01 Step 20000 | H_total=5.19395256e+02 | ΔH/H=8.1387e-04 | H_kin=2.51746605e+01 | H_grad=4.09027828e+00 | H_pot=4.90130318e+02 | g_det=1.4981e-01 | D_drift=3.9558e-01 Step 22000 | H_total=5.19291546e+02 | ΔH/H=1.0134e-03 | H_kin=3.02544292e+01 | H_grad=4.05886578e+00 | H_pot=4.84978251e+02 | g_det=1.4844e-01 | D_drift=3.9461e-01 Step 24000 | H_total=5.19172442e+02 | ΔH/H=1.2425e-03 | H_kin=3.57384927e+01 | H_grad=4.02482697e+00 | H_pot=4.79409123e+02 | g_det=1.4695e-01 | D_drift=3.9356e-01 Step 26000 | H_total=5.19036659e+02 | ΔH/H=1.5037e-03 | H_kin=4.16067661e+01 | H_grad=3.98825627e+00 | H_pot=4.73441637e+02 | g_det=1.4534e-01 | D_drift=3.9243e-01 Step 28000 | H_total=5.18882887e+02 | ΔH/H=1.7995e-03 | H_kin=4.78380711e+01 | H_grad=3.94925417e+00 | H_pot=4.67095561e+02 | g_det=1.4363e-01 | D_drift=3.9123e-01 Step 30000 | H_total=5.18709807e+02 | ΔH/H=2.1325e-03 | H_kin=5.44102759e+01 | H_grad=3.90792671e+00 | H_pot=4.60391604e+02 | g_det=1.4180e-01 | D_drift=3.8996e-01 Step 32000 | H_total=5.18516112e+02 | ΔH/H=2.5051e-03 | H_kin=6.13004395e+01 | H_grad=3.86438501e+00 | H_pot=4.53351288e+02 | g_det=1.3988e-01 | D_drift=3.8862e-01 Step 34000 | H_total=5.18300525e+02 | ΔH/H=2.9199e-03 | H_kin=6.84849572e+01 | H_grad=3.81874475e+00 | H_pot=4.45996823e+02 | g_det=1.3785e-01 | D_drift=3.8722e-01 Step 36000 | H_total=5.18061810e+02 | ΔH/H=3.3791e-03 | H_kin=7.59397067e+01 | H_grad=3.77112564e+00 | H_pot=4.38350978e+02 | g_det=1.3574e-01 | D_drift=3.8576e-01 Step 38000 | H_total=5.17798796e+02 | ΔH/H=3.8851e-03 | H_kin=8.36401931e+01 | H_grad=3.72165091e+00 | H_pot=4.30436952e+02 | g_det=1.3353e-01 | D_drift=3.8425e-01 Step 40000 | H_total=5.17510385e+02 | ΔH/H=4.4399e-03 | H_kin=9.15616916e+01 | H_grad=3.67044677e+00 | H_pot=4.22278246e+02 | g_det=1.3124e-01 | D_drift=3.8267e-01 Step 42000 | H_total=5.17195572e+02 | ΔH/H=5.0455e-03 | H_kin=9.96793868e+01 | H_grad=3.61764188e+00 | H_pot=4.13898543e+02 | g_det=1.2886e-01 | D_drift=3.8105e-01 Step 44000 | H_total=5.16853453e+02 | ΔH/H=5.7037e-03 | H_kin=1.07968507e+02 | H_grad=3.56336686e+00 | H_pot=4.05321579e+02 | g_det=1.2642e-01 | D_drift=3.7938e-01 Step 46000 | H_total=5.16483243e+02 | ΔH/H=6.4159e-03 | H_kin=1.16404455e+02 | H_grad=3.50775374e+00 | H_pot=3.96571034e+02 | g_det=1.2390e-01 | D_drift=3.7766e-01 Step 48000 | H_total=5.16084277e+02 | ΔH/H=7.1834e-03 | H_kin=1.24962927e+02 | H_grad=3.45093549e+00 | H_pot=3.87670415e+02 | g_det=1.2131e-01 | D_drift=3.7590e-01 Step 50000 | H_total=5.15656028e+02 | ΔH/H=8.0072e-03 | H_kin=1.33620032e+02 | H_grad=3.39304554e+00 | H_pot=3.78642951e+02 | g_det=1.1867e-01 | D_drift=3.7409e-01 Step 52000 | H_total=5.15198108e+02 | ΔH/H=8.8881e-03 | H_kin=1.42352397e+02 | H_grad=3.33421730e+00 | H_pot=3.69511493e+02 | g_det=1.1597e-01 | D_drift=3.7225e-01 Step 54000 | H_total=5.14710274e+02 | ΔH/H=9.8266e-03 | H_kin=1.51137267e+02 | H_grad=3.27458370e+00 | H_pot=3.60298423e+02 | g_det=1.1322e-01 | D_drift=3.7037e-01 Step 56000 | H_total=5.14192434e+02 | ΔH/H=1.0823e-02 | H_kin=1.59952594e+02 | H_grad=3.21427684e+00 | H_pot=3.51025563e+02 | g_det=1.1043e-01 | D_drift=3.6846e-01 Step 58000 | H_total=5.13644648e+02 | ΔH/H=1.1877e-02 | H_kin=1.68777118e+02 | H_grad=3.15342749e+00 | H_pot=3.41714102e+02 | g_det=1.0760e-01 | D_drift=3.6651e-01 Step 60000 | H_total=5.13067128e+02 | ΔH/H=1.2988e-02 | H_kin=1.77590441e+02 | H_grad=3.09216481e+00 | H_pot=3.32384523e+02 | g_det=1.0473e-01 | D_drift=3.6453e-01 Step 62000 | H_total=5.12460238e+02 | ΔH/H=1.4155e-02 | H_kin=1.86373084e+02 | H_grad=3.03061594e+00 | H_pot=3.23056538e+02 | g_det=1.0183e-01 | D_drift=3.6252e-01 Step 64000 | H_total=5.11824491e+02 | ΔH/H=1.5378e-02 | H_kin=1.95106548e+02 | H_grad=2.96890571e+00 | H_pot=3.13749037e+02 | g_det=9.8906e-02 | D_drift=3.6049e-01 Step 66000 | H_total=5.11160545e+02 | ΔH/H=1.6655e-02 | H_kin=2.03773349e+02 | H_grad=2.90715634e+00 | H_pot=3.04480040e+02 | g_det=9.5962e-02 | D_drift=3.5843e-01 Step 68000 | H_total=5.10469201e+02 | ΔH/H=1.7985e-02 | H_kin=2.12357058e+02 | H_grad=2.84548720e+00 | H_pot=2.95266656e+02 | g_det=9.3002e-02 | D_drift=3.5634e-01 Step 70000 | H_total=5.09751394e+02 | ΔH/H=1.9366e-02 | H_kin=2.20842327e+02 | H_grad=2.78401454e+00 | H_pot=2.86125052e+02 | g_det=9.0031e-02 | D_drift=3.5423e-01 Step 72000 | H_total=5.09008187e+02 | ΔH/H=2.0796e-02 | H_kin=2.29214905e+02 | H_grad=2.72285129e+00 | H_pot=2.77070431e+02 | g_det=8.7055e-02 | D_drift=3.5209e-01 Step 74000 | H_total=5.08240768e+02 | ΔH/H=2.2272e-02 | H_kin=2.37461649e+02 | H_grad=2.66210692e+00 | H_pot=2.68117012e+02 | g_det=8.4076e-02 | D_drift=3.4994e-01 Step 76000 | H_total=5.07450435e+02 | ΔH/H=2.3793e-02 | H_kin=2.45570527e+02 | H_grad=2.60188722e+00 | H_pot=2.59278021e+02 | g_det=8.1099e-02 | D_drift=3.4776e-01 Step 78000 | H_total=5.06638596e+02 | ΔH/H=2.5354e-02 | H_kin=2.53530618e+02 | H_grad=2.54229426e+00 | H_pot=2.50565683e+02 | g_det=7.8130e-02 | D_drift=3.4557e-01 Step 80000 | H_total=5.05806757e+02 | ΔH/H=2.6955e-02 | H_kin=2.61332099e+02 | H_grad=2.48342622e+00 | H_pot=2.41991232e+02 | g_det=7.5171e-02 | D_drift=3.4336e-01 Step 82000 | H_total=5.04956523e+02 | ΔH/H=2.8590e-02 | H_kin=2.68966236e+02 | H_grad=2.42537733e+00 | H_pot=2.33564910e+02 | g_det=7.2226e-02 | D_drift=3.4113e-01 Step 84000 | H_total=5.04089596e+02 | ΔH/H=3.0258e-02 | H_kin=2.76425376e+02 | H_grad=2.36823785e+00 | H_pot=2.25295983e+02 | g_det=6.9300e-02 | D_drift=3.3888e-01 Step 86000 | H_total=5.03207805e+02 | ΔH/H=3.1954e-02 | H_kin=2.83702954e+02 | H_grad=2.31209400e+00 | H_pot=2.17192756e+02 | g_det=6.6397e-02 | D_drift=3.3661e-01 Step 88000 | H_total=5.02313394e+02 | ΔH/H=3.3675e-02 | H_kin=2.90793770e+02 | H_grad=2.25702801e+00 | H_pot=2.09262596e+02 | g_det=6.3519e-02 | D_drift=3.3434e-01 Step 90000 | H_total=5.01407675e+02 | ΔH/H=3.5417e-02 | H_kin=2.97692604e+02 | H_grad=2.20311806e+00 | H_pot=2.01511954e+02 | g_det=6.0670e-02 | D_drift=3.3208e-01 Step 92000 | H_total=5.00492166e+02 | ΔH/H=3.7179e-02 | H_kin=3.04395336e+02 | H_grad=2.15043837e+00 | H_pot=1.93946392e+02 | g_det=5.7853e-02 | D_drift=3.2984e-01 Step 94000 | H_total=4.99570430e+02 | ΔH/H=3.8952e-02 | H_kin=3.10900721e+02 | H_grad=2.09905913e+00 | H_pot=1.86570650e+02 | g_det=5.5072e-02 | D_drift=3.2762e-01 Step 96000 | H_total=4.98639652e+02 | ΔH/H=4.0742e-02 | H_kin=3.17202008e+02 | H_grad=2.04904674e+00 | H_pot=1.79388598e+02 | g_det=5.2329e-02 | D_drift=3.2542e-01 Step 98000 | H_total=4.97705067e+02 | ΔH/H=4.2540e-02 | H_kin=3.23301205e+02 | H_grad=2.00046359e+00 | H_pot=1.72403398e+02 | g_det=4.9628e-02 | D_drift=3.2324e-01 Step 100000 | H_total=4.96764023e+02 | ΔH/H=4.4351e-02 | H_kin=3.29193264e+02 | H_grad=1.95336846e+00 | H_pot=1.65617391e+02 | g_det=4.6971e-02 | D_drift=3.2107e-01 ------------------------------------------------------------ Completed 50 diagnostic intervals in 1074.11s ============================================================ ✅ SUCCESS | Steps: 100,000 | Drift: 4.4351% Time: 1074.12s ▶️ Running: κ=0.500 | N=128 | dt=5.0e-06 | steps=100,000 Label: N_star_128 ------------------------------------------------------------ ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 128×128, dt=0.000005, κ=0.500 Diagnostics: every 2000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19836426e+02 | H_kin = 0.00000000e+00 | H_grad = 4.26237233e+00 | H_pot = 5.15574054e+02 Step 2000 | H_total=5.19832802e+02 | ΔH/H=6.9707e-06 | H_kin=2.60058726e-01 | H_grad=4.26078538e+00 | H_pot=5.15311958e+02 | g_det=1.5645e-01 | D_drift=4.0037e-01 Step 4000 | H_total=5.19821853e+02 | ΔH/H=2.8034e-05 | H_kin=1.03920255e+00 | H_grad=4.25602922e+00 | H_pot=5.14526621e+02 | g_det=1.5624e-01 | D_drift=4.0022e-01 Step 6000 | H_total=5.19803344e+02 | ΔH/H=6.3638e-05 | H_kin=2.33434434e+00 | H_grad=4.24811781e+00 | H_pot=5.13220882e+02 | g_det=1.5590e-01 | D_drift=3.9998e-01 Step 8000 | H_total=5.19776893e+02 | ΔH/H=1.1452e-04 | H_kin=4.14036607e+00 | H_grad=4.23707435e+00 | H_pot=5.11399453e+02 | g_det=1.5543e-01 | D_drift=3.9963e-01 Step 10000 | H_total=5.19741969e+02 | ΔH/H=1.8170e-04 | H_kin=6.45015701e+00 | H_grad=4.22293113e+00 | H_pot=5.09068881e+02 | g_det=1.5482e-01 | D_drift=3.9919e-01 Step 12000 | H_total=5.19697905e+02 | ΔH/H=2.6647e-04 | H_kin=9.25466668e+00 | H_grad=4.20572935e+00 | H_pot=5.06237509e+02 | g_det=1.5407e-01 | D_drift=3.9865e-01 Step 14000 | H_total=5.19643906e+02 | ΔH/H=3.7035e-04 | H_kin=1.25429717e+01 | H_grad=4.18551893e+00 | H_pot=5.02915415e+02 | g_det=1.5320e-01 | D_drift=3.9803e-01 Step 16000 | H_total=5.19579057e+02 | ΔH/H=4.9510e-04 | H_kin=1.63023562e+01 | H_grad=4.16235822e+00 | H_pot=4.99114342e+02 | g_det=1.5220e-01 | D_drift=3.9731e-01 Step 18000 | H_total=5.19502340e+02 | ΔH/H=6.4268e-04 | H_kin=2.05184039e+01 | H_grad=4.13631372e+00 | H_pot=4.94847622e+02 | g_det=1.5107e-01 | D_drift=3.9650e-01 Step 20000 | H_total=5.19412647e+02 | ΔH/H=8.1522e-04 | H_kin=2.51751023e+01 | H_grad=4.10745971e+00 | H_pot=4.90130085e+02 | g_det=1.4981e-01 | D_drift=3.9561e-01 Step 22000 | H_total=5.19308792e+02 | ΔH/H=1.0150e-03 | H_kin=3.02549560e+01 | H_grad=4.07587789e+00 | H_pot=4.84977958e+02 | g_det=1.4844e-01 | D_drift=3.9464e-01 Step 24000 | H_total=5.19189534e+02 | ΔH/H=1.2444e-03 | H_kin=3.57391100e+01 | H_grad=4.04165697e+00 | H_pot=4.79408767e+02 | g_det=1.4695e-01 | D_drift=3.9358e-01 Step 26000 | H_total=5.19053586e+02 | ΔH/H=1.5059e-03 | H_kin=4.16074789e+01 | H_grad=4.00489222e+00 | H_pot=4.73441214e+02 | g_det=1.4534e-01 | D_drift=3.9246e-01 Step 28000 | H_total=5.18899638e+02 | ΔH/H=1.8021e-03 | H_kin=4.78388837e+01 | H_grad=3.96568499e+00 | H_pot=4.67095070e+02 | g_det=1.4363e-01 | D_drift=3.9126e-01 Step 30000 | H_total=5.18726375e+02 | ΔH/H=2.1354e-03 | H_kin=5.44111919e+01 | H_grad=3.92414227e+00 | H_pot=4.60391041e+02 | g_det=1.4180e-01 | D_drift=3.8998e-01 Step 32000 | H_total=5.18532489e+02 | ΔH/H=2.5084e-03 | H_kin=6.13014620e+01 | H_grad=3.88037613e+00 | H_pot=4.53350651e+02 | g_det=1.3988e-01 | D_drift=3.8865e-01 Step 34000 | H_total=5.18316703e+02 | ΔH/H=2.9235e-03 | H_kin=6.84860886e+01 | H_grad=3.83450323e+00 | H_pot=4.45996112e+02 | g_det=1.3785e-01 | D_drift=3.8725e-01 Step 36000 | H_total=5.18077785e+02 | ΔH/H=3.3831e-03 | H_kin=7.59409490e+01 | H_grad=3.78664430e+00 | H_pot=4.38350191e+02 | g_det=1.3574e-01 | D_drift=3.8579e-01 Step 38000 | H_total=5.17814561e+02 | ΔH/H=3.8894e-03 | H_kin=8.36415475e+01 | H_grad=3.73692360e+00 | H_pot=4.30436089e+02 | g_det=1.3353e-01 | D_drift=3.8427e-01 Step 40000 | H_total=5.17525936e+02 | ΔH/H=4.4446e-03 | H_kin=9.15631588e+01 | H_grad=3.68546837e+00 | H_pot=4.22277309e+02 | g_det=1.3124e-01 | D_drift=3.8270e-01 Step 42000 | H_total=5.17210906e+02 | ΔH/H=5.0507e-03 | H_kin=9.96809669e+01 | H_grad=3.63240834e+00 | H_pot=4.13897531e+02 | g_det=1.2886e-01 | D_drift=3.8107e-01 Step 44000 | H_total=5.16868568e+02 | ΔH/H=5.7092e-03 | H_kin=1.07970200e+02 | H_grad=3.57787515e+00 | H_pot=4.05320493e+02 | g_det=1.2642e-01 | D_drift=3.7940e-01 Step 46000 | H_total=5.16498137e+02 | ΔH/H=6.4218e-03 | H_kin=1.16406259e+02 | H_grad=3.52200190e+00 | H_pot=3.96569876e+02 | g_det=1.2390e-01 | D_drift=3.7768e-01 Step 48000 | H_total=5.16098951e+02 | ΔH/H=7.1897e-03 | H_kin=1.24964841e+02 | H_grad=3.46492259e+00 | H_pot=3.87669187e+02 | g_det=1.2131e-01 | D_drift=3.7592e-01 Step 50000 | H_total=5.15670482e+02 | ΔH/H=8.0140e-03 | H_kin=1.33622055e+02 | H_grad=3.40677166e+00 | H_pot=3.78641655e+02 | g_det=1.1867e-01 | D_drift=3.7412e-01 Step 52000 | H_total=5.15212343e+02 | ΔH/H=8.8953e-03 | H_kin=1.42354527e+02 | H_grad=3.34768353e+00 | H_pot=3.69510133e+02 | g_det=1.1597e-01 | D_drift=3.7227e-01 Step 54000 | H_total=5.14724294e+02 | ΔH/H=9.8341e-03 | H_kin=1.51139501e+02 | H_grad=3.28779213e+00 | H_pot=3.60297000e+02 | g_det=1.1322e-01 | D_drift=3.7039e-01 Step 56000 | H_total=5.14206242e+02 | ΔH/H=1.0831e-02 | H_kin=1.59954930e+02 | H_grad=3.22723049e+00 | H_pot=3.51024081e+02 | g_det=1.1043e-01 | D_drift=3.6848e-01 Step 58000 | H_total=5.13658248e+02 | ΔH/H=1.1885e-02 | H_kin=1.68779553e+02 | H_grad=3.16613033e+00 | H_pot=3.41712565e+02 | g_det=1.0760e-01 | D_drift=3.6653e-01 Step 60000 | H_total=5.13080526e+02 | ΔH/H=1.2996e-02 | H_kin=1.77592971e+02 | H_grad=3.10462170e+00 | H_pot=3.32382933e+02 | g_det=1.0473e-01 | D_drift=3.6455e-01 Step 62000 | H_total=5.12473440e+02 | ΔH/H=1.4164e-02 | H_kin=1.86375708e+02 | H_grad=3.04283261e+00 | H_pot=3.23054900e+02 | g_det=1.0183e-01 | D_drift=3.6255e-01 Step 64000 | H_total=5.11837505e+02 | ΔH/H=1.5387e-02 | H_kin=1.95109261e+02 | H_grad=2.98088871e+00 | H_pot=3.13747355e+02 | g_det=9.8905e-02 | D_drift=3.6051e-01 Step 66000 | H_total=5.11173380e+02 | ΔH/H=1.6665e-02 | H_kin=2.03776149e+02 | H_grad=2.91891302e+00 | H_pot=3.04478317e+02 | g_det=9.5961e-02 | D_drift=3.5845e-01 Step 68000 | H_total=5.10481865e+02 | ΔH/H=1.7995e-02 | H_kin=2.12359943e+02 | H_grad=2.85702565e+00 | H_pot=2.95264897e+02 | g_det=9.3002e-02 | D_drift=3.5636e-01 Step 70000 | H_total=5.09763898e+02 | ΔH/H=1.9376e-02 | H_kin=2.20845293e+02 | H_grad=2.79534356e+00 | H_pot=2.86123261e+02 | g_det=9.0031e-02 | D_drift=3.5425e-01 Step 72000 | H_total=5.09020544e+02 | ΔH/H=2.0806e-02 | H_kin=2.29217951e+02 | H_grad=2.73398036e+00 | H_pot=2.77068612e+02 | g_det=8.7054e-02 | D_drift=3.5211e-01 Step 74000 | H_total=5.08252988e+02 | ΔH/H=2.2283e-02 | H_kin=2.37464773e+02 | H_grad=2.67304612e+00 | H_pot=2.68115169e+02 | g_det=8.4075e-02 | D_drift=3.4996e-01 Step 76000 | H_total=5.07462533e+02 | ΔH/H=2.3803e-02 | H_kin=2.45573728e+02 | H_grad=2.61264725e+00 | H_pot=2.59276157e+02 | g_det=8.1099e-02 | D_drift=3.4778e-01 Step 78000 | H_total=5.06650586e+02 | ΔH/H=2.5365e-02 | H_kin=2.53533896e+02 | H_grad=2.55288634e+00 | H_pot=2.50563803e+02 | g_det=7.8129e-02 | D_drift=3.4559e-01 Step 80000 | H_total=5.05818655e+02 | ΔH/H=2.6966e-02 | H_kin=2.61335454e+02 | H_grad=2.49386207e+00 | H_pot=2.41989340e+02 | g_det=7.5170e-02 | D_drift=3.4338e-01 Step 82000 | H_total=5.04968348e+02 | ΔH/H=2.8601e-02 | H_kin=2.68969671e+02 | H_grad=2.43566914e+00 | H_pot=2.33563008e+02 | g_det=7.2226e-02 | D_drift=3.4115e-01 Step 84000 | H_total=5.04101369e+02 | ΔH/H=3.0269e-02 | H_kin=2.76428895e+02 | H_grad=2.37839822e+00 | H_pot=2.25294075e+02 | g_det=6.9300e-02 | D_drift=3.3890e-01 Step 86000 | H_total=5.03219549e+02 | ΔH/H=3.1966e-02 | H_kin=2.83706567e+02 | H_grad=2.32213593e+00 | H_pot=2.17190846e+02 | g_det=6.6396e-02 | D_drift=3.3663e-01 Step 88000 | H_total=5.02325051e+02 | ΔH/H=3.3686e-02 | H_kin=2.90797400e+02 | H_grad=2.26696482e+00 | H_pot=2.09260686e+02 | g_det=6.3518e-02 | D_drift=3.3436e-01 Step 90000 | H_total=5.01419768e+02 | ΔH/H=3.5428e-02 | H_kin=2.97696760e+02 | H_grad=2.21296340e+00 | H_pot=2.01510045e+02 | g_det=6.0669e-02 | D_drift=3.3210e-01 Step 92000 | H_total=5.00504315e+02 | ΔH/H=3.7189e-02 | H_kin=3.04399616e+02 | H_grad=2.16020615e+00 | H_pot=1.93944493e+02 | g_det=5.7853e-02 | D_drift=3.2986e-01 Step 94000 | H_total=4.99581175e+02 | ΔH/H=3.8965e-02 | H_kin=3.10903661e+02 | H_grad=2.10876353e+00 | H_pot=1.86568750e+02 | g_det=5.5072e-02 | D_drift=3.2764e-01 Step 96000 | H_total=4.98651325e+02 | ΔH/H=4.0753e-02 | H_kin=3.17205905e+02 | H_grad=2.05870206e+00 | H_pot=1.79386718e+02 | g_det=5.2329e-02 | D_drift=3.2544e-01 Step 98000 | H_total=4.97717430e+02 | ΔH/H=4.2550e-02 | H_kin=3.23305827e+02 | H_grad=2.01008441e+00 | H_pot=1.72401518e+02 | g_det=4.9628e-02 | D_drift=3.2325e-01 Step 100000 | H_total=4.96777846e+02 | ΔH/H=4.4357e-02 | H_kin=3.29199358e+02 | H_grad=1.96296946e+00 | H_pot=1.65615519e+02 | g_det=4.6970e-02 | D_drift=3.2108e-01 ------------------------------------------------------------ Completed 50 diagnostic intervals in 3431.07s ============================================================ ✅ SUCCESS | Steps: 100,000 | Drift: 4.4357% Time: 3431.11s ⚠️ Large N=256 detected - memory usage will be high Cells: 65,536, Fields: ~3.0 MB ▶️ Running: κ=0.500 | N=256 | dt=5.0e-06 | steps=100,000 Label: N_star_256 ------------------------------------------------------------ ⚠️ MEMORY GATE: N=256 - Large grid detected Estimated memory usage: ~3.0 MB for fields Total cells: 65,536 ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 256×256, dt=0.000005, κ=0.500 Diagnostics: every 2000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19841022e+02 | H_kin = 0.00000000e+00 | H_grad = 4.26695013e+00 | H_pot = 5.15574072e+02 Step 2000 | H_total=5.19837396e+02 | ΔH/H=6.9745e-06 | H_kin=2.60059902e-01 | H_grad=4.26536079e+00 | H_pot=5.15311976e+02 | g_det=1.5645e-01 | D_drift=4.0038e-01 Step 4000 | H_total=5.19826441e+02 | ΔH/H=2.8050e-05 | H_kin=1.03920700e+00 | H_grad=4.26059760e+00 | H_pot=5.14526636e+02 | g_det=1.5624e-01 | D_drift=4.0023e-01 Step 6000 | H_total=5.19807922e+02 | ΔH/H=6.3673e-05 | H_kin=2.33435420e+00 | H_grad=4.25267466e+00 | H_pot=5.13220893e+02 | g_det=1.5590e-01 | D_drift=3.9998e-01 Step 8000 | H_total=5.19781457e+02 | ΔH/H=1.1458e-04 | H_kin=4.14038351e+00 | H_grad=4.24161527e+00 | H_pot=5.11399458e+02 | g_det=1.5543e-01 | D_drift=3.9964e-01 Step 10000 | H_total=5.19746515e+02 | ΔH/H=1.8180e-04 | H_kin=6.45018417e+00 | H_grad=4.22745182e+00 | H_pot=5.09068879e+02 | g_det=1.5482e-01 | D_drift=3.9920e-01 Step 12000 | H_total=5.19702430e+02 | ΔH/H=2.6660e-04 | H_kin=9.25470565e+00 | H_grad=4.21022563e+00 | H_pot=5.06237499e+02 | g_det=1.5407e-01 | D_drift=3.9866e-01 Step 14000 | H_total=5.19648406e+02 | ΔH/H=3.7053e-04 | H_kin=1.25430246e+01 | H_grad=4.18998675e+00 | H_pot=5.02915394e+02 | g_det=1.5320e-01 | D_drift=3.9803e-01 Step 16000 | H_total=5.19583528e+02 | ΔH/H=4.9533e-04 | H_kin=1.63024248e+01 | H_grad=4.16679366e+00 | H_pot=4.99114310e+02 | g_det=1.5220e-01 | D_drift=3.9731e-01 Step 18000 | H_total=5.19506780e+02 | ΔH/H=6.4297e-04 | H_kin=2.05184901e+01 | H_grad=4.14071302e+00 | H_pot=4.94847577e+02 | g_det=1.5107e-01 | D_drift=3.9651e-01 Step 20000 | H_total=5.19417053e+02 | ΔH/H=8.1558e-04 | H_kin=2.51752077e+01 | H_grad=4.11181929e+00 | H_pot=4.90130026e+02 | g_det=1.4981e-01 | D_drift=3.9562e-01 Step 22000 | H_total=5.19313161e+02 | ΔH/H=1.0154e-03 | H_kin=3.02550824e+01 | H_grad=4.08019435e+00 | H_pot=4.84977884e+02 | g_det=1.4844e-01 | D_drift=3.9464e-01 Step 24000 | H_total=5.19193863e+02 | ΔH/H=1.2449e-03 | H_kin=3.57392587e+01 | H_grad=4.04592711e+00 | H_pot=4.79408677e+02 | g_det=1.4695e-01 | D_drift=3.9359e-01 Step 26000 | H_total=5.19057872e+02 | ΔH/H=1.5065e-03 | H_kin=4.16076512e+01 | H_grad=4.00911306e+00 | H_pot=4.73441108e+02 | g_det=1.4534e-01 | D_drift=3.9246e-01 Step 28000 | H_total=5.18903880e+02 | ΔH/H=1.8027e-03 | H_kin=4.78390806e+01 | H_grad=3.96985377e+00 | H_pot=4.67094946e+02 | g_det=1.4363e-01 | D_drift=3.9126e-01 Step 30000 | H_total=5.18730570e+02 | ΔH/H=2.1361e-03 | H_kin=5.44114145e+01 | H_grad=3.92825646e+00 | H_pot=4.60390899e+02 | g_det=1.4180e-01 | D_drift=3.8999e-01 Step 32000 | H_total=5.18536636e+02 | ΔH/H=2.5092e-03 | H_kin=6.13017110e+01 | H_grad=3.88443343e+00 | H_pot=4.53350491e+02 | g_det=1.3988e-01 | D_drift=3.8865e-01 Step 34000 | H_total=5.18320799e+02 | ΔH/H=2.9244e-03 | H_kin=6.84863649e+01 | H_grad=3.83850162e+00 | H_pot=4.45995933e+02 | g_det=1.3785e-01 | D_drift=3.8725e-01 Step 36000 | H_total=5.18081829e+02 | ΔH/H=3.3841e-03 | H_kin=7.59412529e+01 | H_grad=3.79058200e+00 | H_pot=4.38349994e+02 | g_det=1.3574e-01 | D_drift=3.8579e-01 Step 38000 | H_total=5.17818551e+02 | ΔH/H=3.8906e-03 | H_kin=8.36418794e+01 | H_grad=3.74079908e+00 | H_pot=4.30435873e+02 | g_det=1.3353e-01 | D_drift=3.8427e-01 Step 40000 | H_total=5.17529873e+02 | ΔH/H=4.4459e-03 | H_kin=9.15635190e+01 | H_grad=3.68928037e+00 | H_pot=4.22277073e+02 | g_det=1.3124e-01 | D_drift=3.8270e-01 Step 42000 | H_total=5.17214788e+02 | ΔH/H=5.0520e-03 | H_kin=9.96813554e+01 | H_grad=3.63615586e+00 | H_pot=4.13897276e+02 | g_det=1.2886e-01 | D_drift=3.8108e-01 Step 44000 | H_total=5.16872395e+02 | ΔH/H=5.7106e-03 | H_kin=1.07970617e+02 | H_grad=3.58155747e+00 | H_pot=4.05320221e+02 | g_det=1.2642e-01 | D_drift=3.7941e-01 Step 46000 | H_total=5.16501908e+02 | ΔH/H=6.4233e-03 | H_kin=1.16406704e+02 | H_grad=3.52561853e+00 | H_pot=3.96569586e+02 | g_det=1.2390e-01 | D_drift=3.7769e-01 Step 48000 | H_total=5.16102666e+02 | ΔH/H=7.1913e-03 | H_kin=1.24965314e+02 | H_grad=3.46847333e+00 | H_pot=3.87668879e+02 | g_det=1.2131e-01 | D_drift=3.7593e-01 Step 50000 | H_total=5.15674142e+02 | ΔH/H=8.0157e-03 | H_kin=1.33622555e+02 | H_grad=3.41025656e+00 | H_pot=3.78641330e+02 | g_det=1.1867e-01 | D_drift=3.7412e-01 Step 52000 | H_total=5.15215948e+02 | ΔH/H=8.8971e-03 | H_kin=1.42355054e+02 | H_grad=3.35110288e+00 | H_pot=3.69509791e+02 | g_det=1.1597e-01 | D_drift=3.7228e-01 Step 54000 | H_total=5.14727844e+02 | ΔH/H=9.8360e-03 | H_kin=1.51140055e+02 | H_grad=3.29114648e+00 | H_pot=3.60296643e+02 | g_det=1.1322e-01 | D_drift=3.7040e-01 Step 56000 | H_total=5.14209739e+02 | ΔH/H=1.0833e-02 | H_kin=1.59955509e+02 | H_grad=3.23052063e+00 | H_pot=3.51023709e+02 | g_det=1.1043e-01 | D_drift=3.6848e-01 Step 58000 | H_total=5.13661693e+02 | ΔH/H=1.1887e-02 | H_kin=1.68780157e+02 | H_grad=3.16935728e+00 | H_pot=3.41712179e+02 | g_det=1.0760e-01 | D_drift=3.6654e-01 Step 60000 | H_total=5.13083920e+02 | ΔH/H=1.2998e-02 | H_kin=1.77593600e+02 | H_grad=3.10778670e+00 | H_pot=3.32382534e+02 | g_det=1.0473e-01 | D_drift=3.6456e-01 Step 62000 | H_total=5.12476786e+02 | ΔH/H=1.4166e-02 | H_kin=1.86376360e+02 | H_grad=3.04593712e+00 | H_pot=3.23054489e+02 | g_det=1.0183e-01 | D_drift=3.6255e-01 Step 64000 | H_total=5.11840803e+02 | ΔH/H=1.5390e-02 | H_kin=1.95109936e+02 | H_grad=2.98393440e+00 | H_pot=3.13746933e+02 | g_det=9.8905e-02 | D_drift=3.6051e-01 Step 66000 | H_total=5.11176633e+02 | ΔH/H=1.6667e-02 | H_kin=2.03776846e+02 | H_grad=2.92190176e+00 | H_pot=3.04477885e+02 | g_det=9.5961e-02 | D_drift=3.5845e-01 Step 68000 | H_total=5.10485076e+02 | ΔH/H=1.7998e-02 | H_kin=2.12360661e+02 | H_grad=2.85995949e+00 | H_pot=2.95264455e+02 | g_det=9.3002e-02 | D_drift=3.5636e-01 Step 70000 | H_total=5.09767069e+02 | ΔH/H=1.9379e-02 | H_kin=2.20846033e+02 | H_grad=2.79822474e+00 | H_pot=2.86122812e+02 | g_det=9.0031e-02 | D_drift=3.5425e-01 Step 72000 | H_total=5.09023677e+02 | ΔH/H=2.0809e-02 | H_kin=2.29218711e+02 | H_grad=2.73681126e+00 | H_pot=2.77068156e+02 | g_det=8.7054e-02 | D_drift=3.5212e-01 Step 74000 | H_total=5.08256088e+02 | ΔH/H=2.2286e-02 | H_kin=2.37465552e+02 | H_grad=2.67582932e+00 | H_pot=2.68114706e+02 | g_det=8.4075e-02 | D_drift=3.4996e-01 Step 76000 | H_total=5.07465602e+02 | ΔH/H=2.3806e-02 | H_kin=2.45574528e+02 | H_grad=2.61538544e+00 | H_pot=2.59275689e+02 | g_det=8.1099e-02 | D_drift=3.4779e-01 Step 78000 | H_total=5.06653628e+02 | ΔH/H=2.5368e-02 | H_kin=2.53534715e+02 | H_grad=2.55558236e+00 | H_pot=2.50563331e+02 | g_det=7.8129e-02 | D_drift=3.4559e-01 Step 80000 | H_total=5.05821676e+02 | ΔH/H=2.6969e-02 | H_kin=2.61336293e+02 | H_grad=2.49651888e+00 | H_pot=2.41988864e+02 | g_det=7.5170e-02 | D_drift=3.4338e-01 Step 82000 | H_total=5.04971350e+02 | ΔH/H=2.8604e-02 | H_kin=2.68970531e+02 | H_grad=2.43828982e+00 | H_pot=2.33562530e+02 | g_det=7.2226e-02 | D_drift=3.4115e-01 Step 84000 | H_total=5.04104358e+02 | ΔH/H=3.0272e-02 | H_kin=2.76429777e+02 | H_grad=2.38098596e+00 | H_pot=2.25293595e+02 | g_det=6.9300e-02 | D_drift=3.3890e-01 Step 86000 | H_total=5.03222532e+02 | ΔH/H=3.1968e-02 | H_kin=2.83707473e+02 | H_grad=2.32469400e+00 | H_pot=2.17190365e+02 | g_det=6.6396e-02 | D_drift=3.3664e-01 Step 88000 | H_total=5.02328032e+02 | ΔH/H=3.3689e-02 | H_kin=2.90798330e+02 | H_grad=2.26949658e+00 | H_pot=2.09260206e+02 | g_det=6.3518e-02 | D_drift=3.3436e-01 Step 90000 | H_total=5.01422822e+02 | ΔH/H=3.5430e-02 | H_kin=2.97697785e+02 | H_grad=2.21547230e+00 | H_pot=2.01509565e+02 | g_det=6.0669e-02 | D_drift=3.3210e-01 Step 92000 | H_total=5.00507573e+02 | ΔH/H=3.7191e-02 | H_kin=3.04400864e+02 | H_grad=2.16269570e+00 | H_pot=1.93944013e+02 | g_det=5.7853e-02 | D_drift=3.2986e-01 Step 94000 | H_total=4.99584541e+02 | ΔH/H=3.8967e-02 | H_kin=3.10905031e+02 | H_grad=2.11123729e+00 | H_pot=1.86568272e+02 | g_det=5.5072e-02 | D_drift=3.2764e-01 Step 96000 | H_total=4.98654475e+02 | ΔH/H=4.0756e-02 | H_kin=3.17207066e+02 | H_grad=2.06116365e+00 | H_pot=1.79386244e+02 | g_det=5.2329e-02 | D_drift=3.2544e-01 Step 98000 | H_total=4.97719889e+02 | ΔH/H=4.2554e-02 | H_kin=3.23306305e+02 | H_grad=2.01253749e+00 | H_pot=1.72401046e+02 | g_det=4.9628e-02 | D_drift=3.2325e-01 Step 100000 | H_total=4.96781389e+02 | ΔH/H=4.4359e-02 | H_kin=3.29200923e+02 | H_grad=1.96541772e+00 | H_pot=1.65615048e+02 | g_det=4.6970e-02 | D_drift=3.2109e-01 ------------------------------------------------------------ Completed 50 diagnostic intervals in 15242.50s ============================================================ ✅ SUCCESS | Steps: 100,000 | Drift: 4.4359% Time: 15242.67s 📊 N* Sweep Results: ---------------------------------------- N | Steps | Drift % | Status ---------------------------------------- 16 | 100,000 | 4.4114 | ✅ OK 32 | 100,000 | 4.4306 | ✅ OK 64 | 100,000 | 4.4351 | ✅ OK 128 | 100,000 | 4.4357 | ✅ OK 256 | 100,000 | 4.4359 | ✅ OK 🔬 RUNNING TEST 2: Extended N* Sweep ================================================================================ 🔬 TEST 2: Extended N* Sweep ================================================================================ Goal: Confirm N* at higher resolution Config: κ=0.50, N=[256,512], 50K steps ================================================================================ ⚠️ MEMORY GATE: N=256 - Large grid detected Cells: 65,536, Fields: ~3.0 MB ▶️ Running: κ=0.500 | N=256 | dt=5.0e-06 | steps=50,000 Label: N_extended_256 ------------------------------------------------------------ ⚠️ MEMORY GATE: N=256 - Large grid detected Estimated memory usage: ~3.0 MB for fields Total cells: 65,536 ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 256×256, dt=0.000005, κ=0.500 Diagnostics: every 1000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19841022e+02 | H_kin = 0.00000000e+00 | H_grad = 4.26695013e+00 | H_pot = 5.15574072e+02 Step 1000 | H_total=5.19840117e+02 | ΔH/H=1.7412e-06 | H_kin=6.50311718e-02 | H_grad=4.26655272e+00 | H_pot=5.15508533e+02 | g_det=1.5650e-01 | D_drift=4.0042e-01 Step 2000 | H_total=5.19837396e+02 | ΔH/H=6.9745e-06 | H_kin=2.60059902e-01 | H_grad=4.26536079e+00 | H_pot=5.15311976e+02 | g_det=1.5645e-01 | D_drift=4.0038e-01 Step 3000 | H_total=5.19832846e+02 | ΔH/H=1.5728e-05 | H_kin=5.84892550e-01 | H_grad=4.26337526e+00 | H_pot=5.14984578e+02 | g_det=1.5636e-01 | D_drift=4.0032e-01 Step 4000 | H_total=5.19826441e+02 | ΔH/H=2.8050e-05 | H_kin=1.03920700e+00 | H_grad=4.26059760e+00 | H_pot=5.14526636e+02 | g_det=1.5624e-01 | D_drift=4.0023e-01 Step 5000 | H_total=5.19818147e+02 | ΔH/H=4.4003e-05 | H_kin=1.62255324e+00 | H_grad=4.25702986e+00 | H_pot=5.13938564e+02 | g_det=1.5609e-01 | D_drift=4.0012e-01 Step 6000 | H_total=5.19807922e+02 | ΔH/H=6.3673e-05 | H_kin=2.33435420e+00 | H_grad=4.25267466e+00 | H_pot=5.13220893e+02 | g_det=1.5590e-01 | D_drift=3.9998e-01 Step 7000 | H_total=5.19795712e+02 | ΔH/H=8.7161e-05 | H_kin=3.17390686e+00 | H_grad=4.24753521e+00 | H_pot=5.12374270e+02 | g_det=1.5568e-01 | D_drift=3.9982e-01 Step 8000 | H_total=5.19781457e+02 | ΔH/H=1.1458e-04 | H_kin=4.14038351e+00 | H_grad=4.24161527e+00 | H_pot=5.11399458e+02 | g_det=1.5543e-01 | D_drift=3.9964e-01 Step 9000 | H_total=5.19765084e+02 | ΔH/H=1.4608e-04 | H_kin=5.23283333e+00 | H_grad=4.23491918e+00 | H_pot=5.10297331e+02 | g_det=1.5514e-01 | D_drift=3.9943e-01 Step 10000 | H_total=5.19746515e+02 | ΔH/H=1.8180e-04 | H_kin=6.45018417e+00 | H_grad=4.22745182e+00 | H_pot=5.09068879e+02 | g_det=1.5482e-01 | D_drift=3.9920e-01 Step 11000 | H_total=5.19725662e+02 | ΔH/H=2.2191e-04 | H_kin=7.79124450e+00 | H_grad=4.21921864e+00 | H_pot=5.07715199e+02 | g_det=1.5446e-01 | D_drift=3.9894e-01 Step 12000 | H_total=5.19702430e+02 | ΔH/H=2.6660e-04 | H_kin=9.25470565e+00 | H_grad=4.21022563e+00 | H_pot=5.06237499e+02 | g_det=1.5407e-01 | D_drift=3.9866e-01 Step 13000 | H_total=5.19676715e+02 | ΔH/H=3.1607e-04 | H_kin=1.08391442e+01 | H_grad=4.20047932e+00 | H_pot=5.04637091e+02 | g_det=1.5365e-01 | D_drift=3.9836e-01 Step 14000 | H_total=5.19648406e+02 | ΔH/H=3.7053e-04 | H_kin=1.25430246e+01 | H_grad=4.18998675e+00 | H_pot=5.02915394e+02 | g_det=1.5320e-01 | D_drift=3.9803e-01 Step 15000 | H_total=5.19617385e+02 | ΔH/H=4.3020e-04 | H_kin=1.43647018e+01 | H_grad=4.17875550e+00 | H_pot=5.01073928e+02 | g_det=1.5271e-01 | D_drift=3.9768e-01 Step 16000 | H_total=5.19583528e+02 | ΔH/H=4.9533e-04 | H_kin=1.63024248e+01 | H_grad=4.16679366e+00 | H_pot=4.99114310e+02 | g_det=1.5220e-01 | D_drift=3.9731e-01 Step 17000 | H_total=5.19546706e+02 | ΔH/H=5.6617e-04 | H_kin=1.83543390e+01 | H_grad=4.15410981e+00 | H_pot=4.97038257e+02 | g_det=1.5165e-01 | D_drift=3.9692e-01 Step 18000 | H_total=5.19506780e+02 | ΔH/H=6.4297e-04 | H_kin=2.05184901e+01 | H_grad=4.14071302e+00 | H_pot=4.94847577e+02 | g_det=1.5107e-01 | D_drift=3.9651e-01 Step 19000 | H_total=5.19463611e+02 | ΔH/H=7.2601e-04 | H_kin=2.27928275e+01 | H_grad=4.12661284e+00 | H_pot=4.92544171e+02 | g_det=1.5046e-01 | D_drift=3.9607e-01 Step 20000 | H_total=5.19417053e+02 | ΔH/H=8.1558e-04 | H_kin=2.51752077e+01 | H_grad=4.11181929e+00 | H_pot=4.90130026e+02 | g_det=1.4981e-01 | D_drift=3.9562e-01 Step 21000 | H_total=5.19366954e+02 | ΔH/H=9.1195e-04 | H_kin=2.76633985e+01 | H_grad=4.09634282e+00 | H_pot=4.87607213e+02 | g_det=1.4914e-01 | D_drift=3.9514e-01 Step 22000 | H_total=5.19313161e+02 | ΔH/H=1.0154e-03 | H_kin=3.02550824e+01 | H_grad=4.08019435e+00 | H_pot=4.84977884e+02 | g_det=1.4844e-01 | D_drift=3.9464e-01 Step 23000 | H_total=5.19255517e+02 | ΔH/H=1.1263e-03 | H_kin=3.29478609e+01 | H_grad=4.06338520e+00 | H_pot=4.82244271e+02 | g_det=1.4771e-01 | D_drift=3.9413e-01 Step 24000 | H_total=5.19193863e+02 | ΔH/H=1.2449e-03 | H_kin=3.57392587e+01 | H_grad=4.04592711e+00 | H_pot=4.79408677e+02 | g_det=1.4695e-01 | D_drift=3.9359e-01 Step 25000 | H_total=5.19128035e+02 | ΔH/H=1.3715e-03 | H_kin=3.86267276e+01 | H_grad=4.02783223e+00 | H_pot=4.76473476e+02 | g_det=1.4616e-01 | D_drift=3.9304e-01 Step 26000 | H_total=5.19057872e+02 | ΔH/H=1.5065e-03 | H_kin=4.16076512e+01 | H_grad=4.00911306e+00 | H_pot=4.73441108e+02 | g_det=1.4534e-01 | D_drift=3.9246e-01 Step 27000 | H_total=5.18983209e+02 | ΔH/H=1.6501e-03 | H_kin=4.46793489e+01 | H_grad=3.98978249e+00 | H_pot=4.70314077e+02 | g_det=1.4450e-01 | D_drift=3.9187e-01 Step 28000 | H_total=5.18903880e+02 | ΔH/H=1.8027e-03 | H_kin=4.78390806e+01 | H_grad=3.96985377e+00 | H_pot=4.67094946e+02 | g_det=1.4363e-01 | D_drift=3.9126e-01 Step 29000 | H_total=5.18819722e+02 | ΔH/H=1.9646e-03 | H_kin=5.10840511e+01 | H_grad=3.94934046e+00 | H_pot=4.63786330e+02 | g_det=1.4273e-01 | D_drift=3.9063e-01 Step 30000 | H_total=5.18730570e+02 | ΔH/H=2.1361e-03 | H_kin=5.44114145e+01 | H_grad=3.92825646e+00 | H_pot=4.60390899e+02 | g_det=1.4180e-01 | D_drift=3.8999e-01 Step 31000 | H_total=5.18636261e+02 | ΔH/H=2.3176e-03 | H_kin=5.78182789e+01 | H_grad=3.90661595e+00 | H_pot=4.56911367e+02 | g_det=1.4085e-01 | D_drift=3.8933e-01 Step 32000 | H_total=5.18536636e+02 | ΔH/H=2.5092e-03 | H_kin=6.13017110e+01 | H_grad=3.88443343e+00 | H_pot=4.53350491e+02 | g_det=1.3988e-01 | D_drift=3.8865e-01 Step 33000 | H_total=5.18431533e+02 | ΔH/H=2.7114e-03 | H_kin=6.48587406e+01 | H_grad=3.86172366e+00 | H_pot=4.49711069e+02 | g_det=1.3888e-01 | D_drift=3.8796e-01 Step 34000 | H_total=5.18320799e+02 | ΔH/H=2.9244e-03 | H_kin=6.84863649e+01 | H_grad=3.83850162e+00 | H_pot=4.45995933e+02 | g_det=1.3785e-01 | D_drift=3.8725e-01 Step 35000 | H_total=5.18204281e+02 | ΔH/H=3.1485e-03 | H_kin=7.21815535e+01 | H_grad=3.81478258e+00 | H_pot=4.42207944e+02 | g_det=1.3681e-01 | D_drift=3.8653e-01 Step 36000 | H_total=5.18081829e+02 | ΔH/H=3.3841e-03 | H_kin=7.59412529e+01 | H_grad=3.79058200e+00 | H_pot=4.38349994e+02 | g_det=1.3574e-01 | D_drift=3.8579e-01 Step 37000 | H_total=5.17953299e+02 | ΔH/H=3.6313e-03 | H_kin=7.97623904e+01 | H_grad=3.76591554e+00 | H_pot=4.34424993e+02 | g_det=1.3464e-01 | D_drift=3.8504e-01 Step 38000 | H_total=5.17818551e+02 | ΔH/H=3.8906e-03 | H_kin=8.36418794e+01 | H_grad=3.74079908e+00 | H_pot=4.30435873e+02 | g_det=1.3353e-01 | D_drift=3.8427e-01 Step 39000 | H_total=5.17677452e+02 | ΔH/H=4.1620e-03 | H_kin=8.75766231e+01 | H_grad=3.71524863e+00 | H_pot=4.26385581e+02 | g_det=1.3239e-01 | D_drift=3.8350e-01 Step 40000 | H_total=5.17529873e+02 | ΔH/H=4.4459e-03 | H_kin=9.15635190e+01 | H_grad=3.68928037e+00 | H_pot=4.22277073e+02 | g_det=1.3124e-01 | D_drift=3.8270e-01 Step 41000 | H_total=5.17375690e+02 | ΔH/H=4.7425e-03 | H_kin=9.55994634e+01 | H_grad=3.66291064e+00 | H_pot=4.18113316e+02 | g_det=1.3006e-01 | D_drift=3.8190e-01 Step 42000 | H_total=5.17214788e+02 | ΔH/H=5.0520e-03 | H_kin=9.96813554e+01 | H_grad=3.63615586e+00 | H_pot=4.13897276e+02 | g_det=1.2886e-01 | D_drift=3.8108e-01 Step 43000 | H_total=5.17047057e+02 | ΔH/H=5.3747e-03 | H_kin=1.03806101e+02 | H_grad=3.60903259e+00 | H_pot=4.09631923e+02 | g_det=1.2765e-01 | D_drift=3.8025e-01 Step 44000 | H_total=5.16872395e+02 | ΔH/H=5.7106e-03 | H_kin=1.07970617e+02 | H_grad=3.58155747e+00 | H_pot=4.05320221e+02 | g_det=1.2642e-01 | D_drift=3.7941e-01 Step 45000 | H_total=5.16690708e+02 | ΔH/H=6.0601e-03 | H_kin=1.12171834e+02 | H_grad=3.55374719e+00 | H_pot=4.00965126e+02 | g_det=1.2517e-01 | D_drift=3.7855e-01 Step 46000 | H_total=5.16501908e+02 | ΔH/H=6.4233e-03 | H_kin=1.16406704e+02 | H_grad=3.52561853e+00 | H_pot=3.96569586e+02 | g_det=1.2390e-01 | D_drift=3.7769e-01 Step 47000 | H_total=5.16305918e+02 | ΔH/H=6.8004e-03 | H_kin=1.20672198e+02 | H_grad=3.49718830e+00 | H_pot=3.92136532e+02 | g_det=1.2261e-01 | D_drift=3.7681e-01 Step 48000 | H_total=5.16102666e+02 | ΔH/H=7.1913e-03 | H_kin=1.24965314e+02 | H_grad=3.46847333e+00 | H_pot=3.87668879e+02 | g_det=1.2131e-01 | D_drift=3.7593e-01 Step 49000 | H_total=5.15892092e+02 | ΔH/H=7.5964e-03 | H_kin=1.29283080e+02 | H_grad=3.43949047e+00 | H_pot=3.83169522e+02 | g_det=1.2000e-01 | D_drift=3.7503e-01 Step 50000 | H_total=5.15674142e+02 | ΔH/H=8.0157e-03 | H_kin=1.33622555e+02 | H_grad=3.41025656e+00 | H_pot=3.78641330e+02 | g_det=1.1867e-01 | D_drift=3.7412e-01 ------------------------------------------------------------ Completed 50 diagnostic intervals in 7632.33s ============================================================ ✅ SUCCESS | Steps: 50,000 | Drift: 0.8016% Time: 7632.52s ⚠️ MEMORY GATE: N=512 - Large grid detected Cells: 262,144, Fields: ~12.0 MB ▶️ Running: κ=0.500 | N=512 | dt=5.0e-06 | steps=50,000 Label: N_extended_512 ------------------------------------------------------------ ⚠️ MEMORY GATE: N=512 - Large grid detected Estimated memory usage: ~12.0 MB for fields Total cells: 262,144 ============================================================ SERIES 11 — DIAGNOSTICS SOLVER ============================================================ Grid: 512×512, dt=0.000005, κ=0.500 Diagnostics: every 1000 steps ------------------------------------------------------------ Step 0 | H_total = 5.19842200e+02 | H_kin = 0.00000000e+00 | H_grad = 4.26812281e+00 | H_pot = 5.15574077e+02 Step 1000 | H_total=5.19841294e+02 | ΔH/H=1.7416e-06 | H_kin=6.50312208e-02 | H_grad=4.26772521e+00 | H_pot=5.15508538e+02 | g_det=1.5650e-01 | D_drift=4.0042e-01 Step 2000 | H_total=5.19838573e+02 | ΔH/H=6.9758e-06 | H_kin=2.60060137e-01 | H_grad=4.26653280e+00 | H_pot=5.15311981e+02 | g_det=1.5645e-01 | D_drift=4.0038e-01 Step 3000 | H_total=5.19834022e+02 | ΔH/H=1.5731e-05 | H_kin=5.84893117e-01 | H_grad=4.26454649e+00 | H_pot=5.14984583e+02 | g_det=1.5636e-01 | D_drift=4.0032e-01 Step 4000 | H_total=5.19827616e+02 | ΔH/H=2.8054e-05 | H_kin=1.03920804e+00 | H_grad=4.26176777e+00 | H_pot=5.14526640e+02 | g_det=1.5624e-01 | D_drift=4.0023e-01 Step 5000 | H_total=5.19819322e+02 | ΔH/H=4.4010e-05 | H_kin=1.62255490e+00 | H_grad=4.25819869e+00 | H_pot=5.13938568e+02 | g_det=1.5609e-01 | D_drift=4.0012e-01 Step 6000 | H_total=5.19809095e+02 | ΔH/H=6.3683e-05 | H_kin=2.33435663e+00 | H_grad=4.25384188e+00 | H_pot=5.13220896e+02 | g_det=1.5590e-01 | D_drift=3.9998e-01

Popular posts from this blog

THE GOLDEN BALLROOM/BUNKER

Image
Ben Meiselas reports on the shocking admission by Donald Trump’s DOJ in a court case where the DOJ admits to a secret project underneath the ballroom which they claim is needed to protect Donald Trump’s life for “national security purposes.” "You unlock this door with the key of complicity. Beyond it is another dimension — a dimension of betrayal, of indulgence, of fear. You’re moving into a land of both shadow and substance, of politics and paranoia. You’ve just crossed into… the MAGA Zone." "Tonight’s story: A leader sworn to protect his nation makes a bargain with its enemies. The deal? Silence in the face of nuclear annihilation. No retaliation, no defense — only surrender dressed in secrecy. While citizens live unaware, their president builds a palace beneath the earth, a ballroom of gold, of marble and chandeliers, a masquerade hall for billionaires. But behind the gilded doors lies not music and laughter, but a bomb shelter — a sanctuary for the few, pur...
Read more

Conceptual Summary #2: (∂t2​S−c2∇2S+βS3)=σ(x,t)⋅FR​(C[Ψ])

Image
The tests designed to find the Aether—principally the Michelson-Morley experiment (M-M)—would be largely ineffective at detecting the fundamental S field (Substrate) in the Reactive Substrate Theory (RST) framework, though their null results are highly compatible with RST's structure. The reason lies in the distinct conceptual definition and behavior of the two media. The Test: Michelson-Morley and the Aether. The M-M experiment was designed to detect the "aether wind," a predicted change in the speed of light caused by the Earth's motion relative to a stationary, rigid medium—the classical Luminiferous Aether. Classical Aether: A static, absolute reference frame; an elastic, passive, material-like medium that fills space and serves as a carrier for light waves. Predicted Result: Light traveling parallel to Earth's motion through the Aether should be slightly slower than light traveling perpendicular to it. Actual Result (Null Result): No significant differenc...
Read more

ICE PROUDLY ANNOUNCES NEW “ELITE” TASK FORCE COMMANDER JEREMY DEWITTE

Image
For Immediate Release OFFICE OF STRATEGIC SUPPRESSION & DESPERATE RECRUITMENT U.S. IMMIGRATION AND CUSTOMS ENFORCEMENT (ICE) SUBJECT: ICE PROUDLY ANNOUNCES NEW “ELITE” TASK FORCE COMMANDER JEREMY DEWITTE; AGENCY TO ADOPT FULL “MOTOR ESCORT” DOCTRINE BY Q3 WASHINGTON, D.C. — In a historic moment that experts are calling “a cry for help” and insiders are calling “Tuesday,” U.S. Immigration and Customs Enforcement (ICE) has officially appointed Jeremy Dewitte as National Coordinator of the newly created Tactical High-Visibility Fallujah Squadron & Escort Wing (T.H.V.F.S.E.W.) . This appointment follows a PBS NewsHour report highlighting ICE’s bold new hiring strategy: removing every meaningful hiring standard. After eliminating outdated requirements such as "must not be a professional police impersonator," "must possess a valid driver's license," and "must not be a registered sex ...
Read more