# Forensic Audit of Data - Find Differences from Original Grid # Analyzing probe data to understand deviations from expected behavior $auditLog = "forensic_audit_$(Get-Date -Format 'yyyyMMdd_HHmmss').log" $analysisFile = "grid_comparison_analysis_$(Get-Date -Format 'yyyyMMdd_HHmmss').csv" # ANSI colors $Red = "`e[31m" $Green = "`e[32m" $Yellow = "`e[33m" $Blue = "`e[34m" $Magenta = "`e[35m" $Cyan = "`e[36m" $Reset = "`e[0m" function Log-Audit { param($Message, $Severity = "INFO") $timestamp = Get-Date -Format "yyyy-MM-dd HH:mm:ss.fff" $color = $Reset switch ($Severity) { "CRITICAL" { $color = $Red } "WARNING" { $color = $Yellow } "INFO" { $color = $Green } "DEBUG" { $color = $Blue } } $logEntry = "[$timestamp] [$Severity] $Message" Write-Host "$color$logEntry$Reset" Add-Content -Path $auditLog -Value $logEntry } # Load probe data $probeData = @() if (Test-Path "probe_final_results.csv") { $csv = Import-Csv "probe_final_results.csv" $probeData = $csv Log-Audit "Loaded $($csv.Count) records from probe_final_results.csv" "INFO" } else { Log-Audit "probe_final_results.csv not found" "WARNING" } # Load harmonic analysis for reference $harmonicData = $null if (Test-Path "harmonic_analysis_results.json") { $harmonicData = Get-Content "harmonic_analysis_results.json" | ConvertFrom-Json Log-Audit "Loaded harmonic analysis data" "INFO" } # Define expected values for original 1024×1024 grid $originalGrid = @{ Size = 1024 Area = 1048576 ExpectedGuardians = 194 GuardianDensity = 0.0001850128173828125 # 194 / 1048576 PowerBaseline = 150 # Watts GridRatio = 1.0 } # Define actual 256×256 grid $currentGrid = @{ Size = 256 Area = 65536 ExpectedGuardians = 12.125 # 194 × (256/1024)² = 194 × 0.0625 ActualGuardians = 13 # From probe data GuardianDensity = 0.0001983642578125 # 13 / 65536 PowerBaseline = 37 # Watts (observed) GridRatio = 0.25 # 256/1024 } Log-Audit "================================================================" "INFO" Log-Audit "FORENSIC AUDIT OF DATA - GRID COMPARISON" "INFO" Log-Audit "================================================================" "INFO" Log-Audit "" "INFO" Log-Audit "ORIGINAL GRID (1024×1024):" "INFO" Log-Audit " Size: $($originalGrid.Size)×$($originalGrid.Size)" "INFO" Log-Audit " Area: $($originalGrid.Area) cells" "INFO" Log-Audit " Expected Guardians: $($originalGrid.ExpectedGuardians)" "INFO" Log-Audit " Guardian Density: $($originalGrid.GuardianDensity)" "INFO" Log-Audit " Power Baseline: $($originalGrid.PowerBaseline)W" "INFO" Log-Audit "" "INFO" Log-Audit "CURRENT GRID (256×256):" "INFO" Log-Audit " Size: $($currentGrid.Size)×$($currentGrid.Size)" "INFO" Log-Audit " Area: $($currentGrid.Area) cells" "INFO" Log-Audit " Expected Guardians: $($currentGrid.ExpectedGuardians) (scaled)" "INFO" Log-Audit " Actual Guardians: $($currentGrid.ActualGuardians)" "INFO" Log-Audit " Guardian Density: $($currentGrid.GuardianDensity)" "INFO" Log-Audit " Power Baseline: $($currentGrid.PowerBaseline)W (observed)" "INFO" Log-Audit " Grid Ratio: $($currentGrid.GridRatio) (1/4 linear, 1/16 area)" "INFO" Log-Audit "" "INFO" # Calculate differences $guardianDifference = $currentGrid.ActualGuardians - $currentGrid.ExpectedGuardians $densityDifference = $currentGrid.GuardianDensity - $originalGrid.GuardianDensity $densityRatio = $currentGrid.GuardianDensity / $originalGrid.GuardianDensity $powerRatio = $currentGrid.PowerBaseline / $originalGrid.PowerBaseline $areaRatio = $currentGrid.Area / $originalGrid.Area Log-Audit "ANALYSIS OF DIFFERENCES:" "INFO" Log-Audit "================================================================" "INFO" Log-Audit "1. Guardian Count:" "INFO" Log-Audit " Expected (scaled): $($currentGrid.ExpectedGuardians)" "INFO" Log-Audit " Actual: $($currentGrid.ActualGuardians)" "INFO" Log-Audit " Difference: $guardianDifference guardians" "INFO" Log-Audit " Percentage: $(($guardianDifference/$currentGrid.ExpectedGuardians*100).ToString('F2'))%" "INFO" Log-Audit "" "INFO" Log-Audit "2. Guardian Density:" "INFO" Log-Audit " Original: $($originalGrid.GuardianDensity.ToString('E6'))" "INFO" Log-Audit " Current: $($currentGrid.GuardianDensity.ToString('E6'))" "INFO" Log-Audit " Difference: $($densityDifference.ToString('E6'))" "INFO" Log-Audit " Ratio (Current/Original): $($densityRatio.ToString('F4'))" "INFO" Log-Audit "" "INFO" Log-Audit "3. Power Scaling:" "INFO" Log-Audit " Original: $($originalGrid.PowerBaseline)W" "INFO" Log-Audit " Current: $($currentGrid.PowerBaseline)W" "INFO" Log-Audit " Ratio: $($powerRatio.ToString('F4')) (expected: $areaRatio)" "INFO" Log-Audit " Efficiency: $(($areaRatio/$powerRatio*100).ToString('F1'))% of expected" "INFO" Log-Audit "" "INFO" Log-Audit "4. Area Scaling:" "INFO" Log-Audit " Linear scaling: $($currentGrid.GridRatio) (1/4)" "INFO" Log-Audit " Area scaling: $areaRatio (1/16)" "INFO" # Analyze probe data patterns if ($probeData.Count -gt 0) { Log-Audit "" "INFO" Log-Audit "PROBE DATA ANALYSIS:" "INFO" Log-Audit "================================================================" "INFO" # Convert to proper types $typedData = @() foreach ($row in $probeData) { $typedData += [PSCustomObject]@{ Cycle = [int]$row.Cycle Time = $row.Time Omega = [float]$row.Omega Enstrophy = $row.Enstrophy RhoMin = [float]$row.RhoMin RhoMax = [float]$row.RhoMax Power = $row.Power Guardians = [int]$row.Guardians Mass = [float]$row.Mass MTotal = [float]$row.MTotal Probe = $row.Probe } } # Find anomalies $omegaAnomalies = $typedData | Where-Object { $_.Omega -lt 0.6 -or $_.Omega -gt 1.95 } $guardianChanges = $typedData | Where-Object { $_.Guardians -ne $currentGrid.ActualGuardians } $massSpikes = $typedData | Where-Object { $_.Mass -gt 100 } Log-Audit "Data Range: Cycles $($typedData[0].Cycle) to $($typedData[-1].Cycle)" "INFO" Log-Audit "Total Records: $($typedData.Count)" "INFO" if ($omegaAnomalies.Count -gt 0) { Log-Audit "Omega Anomalies Found: $($omegaAnomalies.Count) records outside [0.6, 1.95]" "WARNING" foreach ($anom in $omegaAnomalies | Select-Object -First 3) { Log-Audit " Cycle $($anom.Cycle): Omega = $($anom.Omega)" "WARNING" } } else { Log-Audit "Omega Values: All within normal range [0.6, 1.95]" "INFO" } if ($guardianChanges.Count -gt 0) { Log-Audit "Guardian Count Changes: $($guardianChanges.Count) records" "WARNING" $uniqueCounts = $guardianChanges.Guardians | Sort-Object -Unique Log-Audit " Unique guardian counts: $($uniqueCounts -join ', ')" "WARNING" } else { Log-Audit "Guardian Count: Stable at $($currentGrid.ActualGuardians)" "INFO" } if ($massSpikes.Count -gt 0) { Log-Audit "Mass Spikes Found: $($massSpikes.Count) records with mass > 100" "CRITICAL" } else { $maxMass = ($typedData | Measure-Object -Property Mass -Maximum).Maximum Log-Audit "Mass Range: 0 to $($maxMass.ToString('F2')) (no spikes)" "INFO" } # Calculate statistics $avgOmega = ($typedData | Measure-Object -Property Omega -Average).Average $avgPower = ($typedData | ForEach-Object { [double]$_.Power } | Measure-Object -Average).Average $avgMass = ($typedData | Measure-Object -Property Mass -Average).Average Log-Audit "" "INFO" Log-Audit "STATISTICAL SUMMARY:" "INFO" Log-Audit " Average Omega: $($avgOmega.ToString('F4'))" "INFO" Log-Audit " Average Power: $($avgPower.ToString('E3'))" "INFO" Log-Audit " Average Mass: $($avgMass.ToString('F2'))" "INFO" Log-Audit " Average MTotal: $(($typedData | Measure-Object -Property MTotal -Average).Average.ToString('F2'))" "INFO" } # Check harmonic analysis for grid size relationships if ($harmonicData) { Log-Audit "" "INFO" Log-Audit "HARMONIC ANALYSIS INTEGRATION:" "INFO" Log-Audit "================================================================" "INFO" $currentSizeIndex = $harmonicData.grid_sizes.IndexOf($currentGrid.Size) if ($currentSizeIndex -ge 0) { $harmonicFraction = $harmonicData.harmonic_fractions[$currentSizeIndex] $musicalInterval = $harmonicData.musical_intervals[$currentSizeIndex] Log-Audit "Grid Size $($currentGrid.Size) corresponds to:" "INFO" Log-Audit " Harmonic Fraction: $harmonicFraction" "INFO" Log-Audit " Musical Interval: $musicalInterval" "INFO" # Check if we're near stability boundary $stabilityBoundary = $harmonicData.critical_thresholds.stability_boundary if ($currentGrid.Size -le $stabilityBoundary) { Log-Audit " WARNING: Grid size is at or below stability boundary ($stabilityBoundary)" "WARNING" } } } Log-Audit "" "INFO" Log-Audit "FORENSIC AUDIT COMPLETE" "INFO" Log-Audit "================================================================" "INFO" # Export analysis to CSV $analysisResults = [PSCustomObject]@{ Timestamp = Get-Date -Format "yyyy-MM-dd HH:mm:ss" OriginalGridSize = $originalGrid.Size CurrentGridSize = $currentGrid.Size ExpectedGuardians = $currentGrid.ExpectedGuardians ActualGuardians = $currentGrid.ActualGuardians GuardianDifference = $guardianDifference OriginalDensity = $originalGrid.GuardianDensity CurrentDensity = $currentGrid.GuardianDensity DensityRatio = $densityRatio OriginalPower = $originalGrid.PowerBaseline CurrentPower = $currentGrid.PowerBaseline PowerRatio = $powerRatio AreaRatio = $areaRatio EfficiencyPercentage = ($areaRatio/$powerRatio*100) AuditFindings = "See log for details" } $analysisResults | Export-Csv -Path $analysisFile -NoTypeInformation Log-Audit "Analysis exported to: $analysisFile" "INFO" Log-Audit "Audit log saved to: $auditLog" "INFO"