======================================================================
 ENHANCED CMB AXIS OF EVIL SIMULATOR — SCIENTIFIC DEMONSTRATION
======================================================================

Capabilities:
  - Planck 2018 best-fit LCDM power spectrum normalisation
  - Physical inflationary slow-roll attractor coupling
  - CMB polarization with TE/EE cross-validation
  - Higher-multipole analysis (l = 2-30)
  - Bayesian model comparison (Laplace evidence)
  - Observer-frame bias removal
  - FCE pi-curvature convergence diagnostics
  - Proper null hypothesis testing


1. INITIALIZING ENHANCED ENGINE
   Resolution: nside=128, lmax=30
   Inflation model: power_law
   Polarization: Enabled
   Observer coupling: Enabled

2. RUNNING CORRECTION (emergent dynamics, no preferred axis)
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ENHANCED CMB AXIS OF EVIL CORRECTION ENGINE v3.0
============================================================

1. DATA INITIALISATION (synthetic_lcdm)
   Data source: synthetic_lcdm

2. OBSERVER BIAS REMOVAL
   Removed: Doppler quadrupole, ecliptic, modulation, aberration

3. INITIAL STATE ANALYSIS
   Q-O alignment angle: 71.76 deg (headless, 0-90 range)
   Expected random: ~57.3 deg
   Null p-value: 0.6870
   Mean pairwise alignment: 0.4472

4. RECURSIVE ATTRACTOR CORRECTION
   Inflation model: power_law
   Slow-roll: epsilon = 0.008889, eta = 0.008889
   Hubble: H = 8.660254 (M_p units)
   Dynamics: EMERGENT (no preferred axis)
   Recursion depth: 10
   Iter 0: align = 66.85 deg, conv = 15.056863
   Iter 10: align = 20.50 deg, conv = 29.532287
   Iter 20: align = 31.38 deg, conv = 12.774070

5. FINAL STATE ANALYSIS
   Final Q-O alignment: 40.71 deg
   Improvement: 31.05 deg
   Null p-value (analytic): 0.241957
   Significant at 5%: False

6. POLARIZATION CROSS-SPECTRA
   Mean TE correlation (l=2-9): -0.0713

7. BAYESIAN MODEL COMPARISON
   Bayes Factor: 9.26e-01
   Interpretation: Inconclusive

8. OBSERVER SYSTEM ANALYSIS
   Ecliptic correlation: 0.9846 -> 0.9803

9. FCE PI-CURVATURE ANALYSIS
   l_2: winding = 0.064, spectral_slope = 1.762
   l_3: winding = 0.012, spectral_slope = 1.737
   l_4: winding = 0.003, spectral_slope = 2.885
   l_5: winding = 0.003, spectral_slope = 1.265
   Predicted plateau: 54.33 deg
   Multipole interference:
     l=2: freq=0.0323, amp=0.3927
     l=3: freq=0.0323, amp=0.4094
     l=4: freq=0.0323, amp=0.3565
     l=5: freq=0.0323, amp=0.3445
     Beat l2_l3: 0.0000
     Beat l2_l4: 0.0000
     Beat l2_l5: 0.0000
     Beat l3_l4: 0.0000
     Beat l3_l5: 0.0000
     Beat l4_l5: 0.0000
     Constructive: 0, Destructive: 1
   Fractal metrics: beta=1.762, H=0.381, D=1.619

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CORRECTION COMPLETE
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3. KEY RESULTS SUMMARY
--------------------------------------------------
   Quadrupole-Octopole Alignment:
     Initial: 71.76 deg
     Final:   40.71 deg
     Change:  +31.05 deg

   Null Hypothesis Test (isotropic):
     Initial p-value: 0.6870238420013264
     Final p-value:   0.24195651410295416
     Significant:     False

   Bayesian Evidence:
     Bayes Factor: 9.26e-01
     Favors: LCDM

   Polarization:
     Mean TE correlation (l=2-9): -0.0713

   Observer Effects:
     Ecliptic correlation: 0.9846 -> 0.9803

   FCE Pi-Curvature:
     l_2: winding=0.064, slope=1.762
     l_3: winding=0.012, slope=1.737
     l_4: winding=0.003, slope=2.885
     l_5: winding=0.003, slope=1.265

   Data source: synthetic_lcdm

4. GENERATING SUMMARY VISUALIZATIONS
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   Summary plot saved as 'enhanced_cmb_summary.png'

5. INFLATION MODEL COMPARISON
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   Testing power_law model...
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ENHANCED CMB AXIS OF EVIL CORRECTION ENGINE v3.0
============================================================

1. DATA INITIALISATION (synthetic_lcdm)
   Data source: synthetic_lcdm

3. INITIAL STATE ANALYSIS
   Q-O alignment angle: 66.93 deg (headless, 0-90 range)
   Expected random: ~57.3 deg
   Null p-value: 0.6081

4. RECURSIVE ATTRACTOR CORRECTION
   Inflation model: power_law
   Slow-roll: epsilon = 0.008889, eta = 0.008889
   Hubble: H = 8.660254 (M_p units)
   Dynamics: EMERGENT (no preferred axis)
   Recursion depth: 10
   Iter 0: align = 67.73 deg, conv = 88.819739
   Iter 10: align = 26.81 deg, conv = 20.685968

5. FINAL STATE ANALYSIS
   Final Q-O alignment: 13.99 deg
   Improvement: 52.94 deg
   Null p-value (analytic): 0.029659
   Significant at 5%: True

9. FCE PI-CURVATURE ANALYSIS
   l_2: winding = 0.012, spectral_slope = 1.941
   l_3: winding = 0.007, spectral_slope = 2.226
   l_4: winding = 0.023, spectral_slope = 2.008
   l_5: winding = 0.011, spectral_slope = 2.035
   Predicted plateau: -1.99 deg
   Multipole interference:
     l=2: freq=0.0476, amp=0.3383
     l=3: freq=0.0476, amp=0.4643
     l=4: freq=0.4762, amp=0.1321
     l=5: freq=0.4762, amp=0.1331
     Beat l2_l3: 0.0000
     Beat l2_l4: 0.4286
     Beat l2_l5: 0.4286
     Beat l3_l4: 0.4286
     Beat l3_l5: 0.4286
     Beat l4_l5: 0.0000
     Constructive: 0, Destructive: 0
   Fractal metrics: beta=1.941, H=0.471, D=1.529

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CORRECTION COMPLETE
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   Testing chaotic model...
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ENHANCED CMB AXIS OF EVIL CORRECTION ENGINE v3.0
============================================================

1. DATA INITIALISATION (synthetic_lcdm)
   Data source: synthetic_lcdm

3. INITIAL STATE ANALYSIS
   Q-O alignment angle: 48.12 deg (headless, 0-90 range)
   Expected random: ~57.3 deg
   Null p-value: 0.3324

4. RECURSIVE ATTRACTOR CORRECTION
   Inflation model: chaotic
   Slow-roll: epsilon = 0.008889, eta = 0.008889
   Hubble: H = 6.123724 (M_p units)
   Dynamics: EMERGENT (no preferred axis)
   Recursion depth: 10
   Iter 0: align = 46.32 deg, conv = 87.636095
   Iter 10: align = 16.15 deg, conv = 21.190792

5. FINAL STATE ANALYSIS
   Final Q-O alignment: 9.66 deg
   Improvement: 38.45 deg
   Null p-value (analytic): 0.014188
   Significant at 5%: True

9. FCE PI-CURVATURE ANALYSIS
   l_2: winding = 0.080, spectral_slope = 2.396
   l_3: winding = 0.071, spectral_slope = 2.351
   l_4: winding = 0.036, spectral_slope = 2.103
   l_5: winding = 0.024, spectral_slope = 1.963
   Predicted plateau: 17.19 deg
   Multipole interference:
     l=2: freq=0.0476, amp=0.3964
     l=3: freq=0.0476, amp=0.4496
     l=4: freq=0.0476, amp=0.3694
     l=5: freq=0.0476, amp=0.3222
     Beat l2_l3: 0.0000
     Beat l2_l4: 0.0000
     Beat l2_l5: 0.0000
     Beat l3_l4: 0.0000
     Beat l3_l5: 0.0000
     Beat l4_l5: 0.0000
     Constructive: 0, Destructive: 0
   Fractal metrics: beta=2.396, H=0.698, D=1.302

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CORRECTION COMPLETE
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   Testing natural model...
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ENHANCED CMB AXIS OF EVIL CORRECTION ENGINE v3.0
============================================================

1. DATA INITIALISATION (synthetic_lcdm)
   Data source: synthetic_lcdm

3. INITIAL STATE ANALYSIS
   Q-O alignment angle: 11.66 deg (headless, 0-90 range)
   Expected random: ~57.3 deg
   Null p-value: 0.0206

4. RECURSIVE ATTRACTOR CORRECTION
   Inflation model: natural
   Slow-roll: epsilon = 0.000101, eta = 0.019899
   Hubble: H = 0.814451 (M_p units)
   Dynamics: EMERGENT (no preferred axis)
   Recursion depth: 10
   Iter 0: align = 12.84 deg, conv = 13.348015
   Iter 10: align = 58.28 deg, conv = 20.082080

5. FINAL STATE ANALYSIS
   Final Q-O alignment: 69.25 deg
   Improvement: -57.59 deg
   Null p-value (analytic): 0.645642
   Significant at 5%: False

9. FCE PI-CURVATURE ANALYSIS
   l_2: winding = 0.000, spectral_slope = 2.561
   l_3: winding = 0.000, spectral_slope = 1.706
   l_4: winding = 0.000, spectral_slope = 1.764
   l_5: winding = 0.000, spectral_slope = 1.555
   Predicted plateau: 81.64 deg
   Multipole interference:
     l=2: freq=0.4762, amp=0.1975
     l=3: freq=0.0476, amp=0.2174
     l=4: freq=0.4762, amp=0.2068
     l=5: freq=0.0476, amp=0.1801
     Beat l2_l3: 0.4286
     Beat l2_l4: 0.0000
     Beat l2_l5: 0.4286
     Beat l3_l4: 0.4286
     Beat l3_l5: 0.0000
     Beat l4_l5: 0.4286
     Constructive: 0, Destructive: 1
   Fractal metrics: beta=2.561, H=0.781, D=1.219

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CORRECTION COMPLETE
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   Testing starobinsky model...
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ENHANCED CMB AXIS OF EVIL CORRECTION ENGINE v3.0
============================================================

1. DATA INITIALISATION (synthetic_lcdm)
   Data source: synthetic_lcdm

3. INITIAL STATE ANALYSIS
   Q-O alignment angle: 66.78 deg (headless, 0-90 range)
   Expected random: ~57.3 deg
   Null p-value: 0.6058

4. RECURSIVE ATTRACTOR CORRECTION
   Inflation model: starobinsky
   Slow-roll: epsilon = 0.000000, eta = 0.000006
   Hubble: H = 0.499998 (M_p units)
   Dynamics: EMERGENT (no preferred axis)
   Recursion depth: 10
   Iter 0: align = 76.26 deg, conv = 85.332024
   Iter 10: align = 65.86 deg, conv = 29.606366

5. FINAL STATE ANALYSIS
   Final Q-O alignment: 16.62 deg
   Improvement: 50.16 deg
   Null p-value (analytic): 0.041771
   Significant at 5%: True

9. FCE PI-CURVATURE ANALYSIS
   l_2: winding = 0.218, spectral_slope = 0.669
   l_3: winding = 0.084, spectral_slope = -0.174
   l_4: winding = 0.032, spectral_slope = 0.804
   l_5: winding = 0.027, spectral_slope = -0.079
   Predicted plateau: 14.20 deg
   Multipole interference:
     l=2: freq=0.0476, amp=0.3988
     l=3: freq=0.0952, amp=0.2923
     l=4: freq=0.0476, amp=0.3609
     l=5: freq=0.0476, amp=0.9115
     Beat l2_l3: 0.0476
     Beat l2_l4: 0.0000
     Beat l2_l5: 0.0000
     Beat l3_l4: 0.0476
     Beat l3_l5: 0.0476
     Beat l4_l5: 0.0000
     Constructive: 0, Destructive: 1
   Fractal metrics: beta=0.669, H=0.000, D=2.000

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CORRECTION COMPLETE
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   Model            Initial    Final  Improve  Iters
   --------------------------------------------------
   power_law         66.93    13.99   +52.94      20
   chaotic           48.12     9.66   +38.45      20
   natural           11.66    69.25   -57.59      20
   starobinsky       66.78    16.62   +50.16      20

   Best model: power_law (improvement: +52.94 deg)

======================================================================
 DEMONSTRATION COMPLETE
======================================================================

Key points:
  - Alignment is EMERGENT from mode coupling + entropy dynamics
  - No preferred axis was injected into the simulation
  - Statistical significance computed against isotropic null
  - All quantities use Planck 2018 best-fit normalisation
