resonance-engine/docs/forensic_audit_report.md

Forensic Audit of Data - Grid Comparison Analysis

Date: 2026-03-12 06:22 GMT+7
Analysis Target: Probe data from 256×256 grid vs Original 1024×1024 grid
Purpose: Find differences from original grid and identify root causes

Executive Summary

A forensic audit of the 256×256 grid simulation data reveals significant deviations from the expected scaling behavior of the original 1024×1024 grid. The most critical findings are:

1. Power scaling is 4× less efficient than expected (25.3% vs 100%)
2. Guardian density is 7.2% higher than scaled expectation
3. Grid size is below the stability boundary (256 ≤ 768)
4. System shows coherent behavior despite being in unstable region

Detailed Findings

1. Grid Scaling Parameters

Parameter	Original (1024×1024)	Current (256×256)	Expected Scaling	Actual	Difference
Grid Size	1024×1024	256×256	1/4 linear	1/4 linear	✓ Correct
Area	1,048,576 cells	65,536 cells	1/16 (0.0625)	1/16 (0.0625)	✓ Correct
Guardian Count	194	13	12.125 (194 × 0.0625)	13	+7.2%
Guardian Density	1.850×10⁻⁴	1.983×10⁻⁴	Same as original	+7.2%	⚠️ Higher
Power Baseline	150W	37W	9.375W (150 × 0.0625)	37W	+295%

2. Critical Anomalies

2.1 Power Scaling Discrepancy

• Expected: Power should scale with area (1/16 = 6.25% of original)
• Actual: Power scales to 24.7% of original (4× higher than expected)
• Implication: Non-linear power consumption at small grid sizes
• Possible Cause: Fixed overhead, memory bandwidth saturation, or GPU architecture limits

2.2 Guardian Formation Analysis

• Threshold: RHO_THRESH = 1.00022f (optimized for 256×256)
• Creation Rho: Average 1.00023 (range: 1.00022-1.00024)
• Spatial Distribution: Guardians cover 24.4% of X-axis, 32.3% of Y-axis
• Accretion Rate: Average 0.0049 mass per creation event
• Finding: Guardians form correctly but at slightly higher density than scaled expectation

2.3 Stability Boundary Concern

• Harmonic Analysis: Grid size 256 corresponds to "Two octaves (1/4)" musical interval
• Stability Boundary: 768 (identified in harmonic analysis)
• Risk: Operating below stability boundary could lead to:
  • Energy collapse (magnitude: -6.86 according to harmonic analysis)
  • Phase transitions
  • Non-linear response amplification

3. Probe Data Analysis (Cycles 600-607)

3.1 System State During Probe A (Metabolic Injection)

• Probe State: INJ (mass injection active)
• Omega Stability: All values within [1.2410, 1.2778] (stable range)
• Mass Accumulation: Steady increase from 14.91 to 15.07
• Total Mass (MTotal): Stable at ~65627.40
• Guardian Count: Constant at 13 (no deaths during probe)

3.2 Ghost Particle Analysis

• Total Particles: 156 ghost particles detected
• Average Position: (125.2, 128.5) - centered in grid
• Average Mass: 0.62 per particle
• State: All in PULSE state (active accretion)
• Distribution: Evenly distributed across grid

4. Comparison with Original Grid Behavior

4.1 Expected vs Observed Scaling Laws

Scaling Law	Expected Relationship	Observed Relationship	Deviation
Power vs Area	P ∝ A (linear)	P ∝ A^0.5 (square root)	Non-linear
Guardians vs Area	G ∝ A (linear)	G ∝ A^1.072 (slightly super-linear)	Minor
Memory vs Area	M ∝ A (linear)	M ∝ A (linear)	✓ Correct

4.2 Efficiency Metrics

• Computational Efficiency: 25.3% of expected
• Guardian Formation Efficiency: 107.2% of expected (slightly over-efficient)
• Memory Efficiency: 100% of expected
• Overall System Efficiency: Sub-optimal due to power scaling issue

5. Root Cause Analysis

5.1 Primary Suspect: Fixed Overhead

• GPU kernels have fixed overhead regardless of grid size
• Memory transfers, kernel launches, synchronization
• Becomes dominant at small grid sizes

5.2 Secondary Suspect: Memory Bandwidth Saturation

• Small grids may not fully utilize memory bandwidth
• Inefficient memory access patterns at small scales
• Cache effects different at 256×256 vs 1024×1024

5.3 Tertiary Suspect: Guardian Interaction Range

• Guardian interaction radius may not scale correctly
• Fixed interaction range in lattice units vs physical units
• Could cause increased density effects

6. Recommendations

6.1 Immediate Actions

1. Verify power measurement methodology - ensure accurate power reading
2. Profile kernel execution times - identify fixed overhead components
3. Test intermediate grid sizes - 512×512, 384×384 to map scaling curve

6.2 Short-term Investigations

1. Memory bandwidth analysis - measure effective bandwidth at different grid sizes
2. Guardian parameter validation - verify all scaled parameters:
   • DRAIN_RADIUS (4 vs 16 original)
   • SINK_RADIUS (6 vs 24 original)
   • SINK_RATE (0.0003125 vs 0.005 original)
   • RHO_THRESH (1.00022 vs 1.01 original)

6.3 Long-term Considerations

1. Develop non-linear scaling model - account for fixed overhead
2. Optimize for small grid operation - specialized kernels for <512 grids
3. Implement adaptive guardian density - dynamic adjustment based on grid size

7. Data Quality Assessment

7.1 Data Completeness

• ✅ Cycle data: 8 complete records (600-607)
• ✅ Guardian data: 13 creation events fully documented
• ✅ Ghost particle data: 156 particles with complete state
• ⚠️ Limited time range: Only covers Probe A (cycles 600-649)
• ❌ Missing data: Probes B, C, D not captured in available data

7.2 Data Consistency

• ✅ Guardian count stable throughout observed cycles
• ✅ Omega values within expected physical range
• ✅ Mass conservation: MTotal stable within 0.01%
• ✅ Spatial distribution: Guardians and particles evenly distributed

7.3 Data Gaps

1. No data for cycles 0-599 (initialization and warmup)
2. No data for cycles 608-799 (recovery after Probe A)
3. No data for Probe B (cycle 800 - lattice shear)
4. No data for Probe C (cycles 1100-1199 - VRM silence)
5. No data for Probe D (cycles 1400-1499 - vacuum trap)

8. Conclusion

The forensic audit reveals that while the 256×256 grid functions correctly from a computational perspective, it exhibits significant scaling anomalies compared to the original 1024×1024 grid:

1. Power consumption is 4× higher than area scaling predicts
2. System operates below the identified stability boundary (256 < 768)
3. Guardian density is slightly elevated but within acceptable bounds
4. Core physics remains coherent despite scaling issues

Primary Recommendation: Focus investigation on the power scaling discrepancy, as it represents the most significant deviation from expected behavior and likely indicates fundamental architectural constraints at small grid sizes.

Secondary Recommendation: Collect more complete data covering all probe phases (A-D) to fully characterize system response across different perturbation types.

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Report generated by Forensic Audit Script v1.0
Data Sources: probe_final_results.csv, probe_output_20260311_220349.txt, harmonic_analysis_results.json
Analysis Time: 2026-03-12 06:22 GMT+7