ANNEX C: HIGH-RESOLUTION LIMIT

Discrete-to-Continuous Convergence under Double-Precision Boundary (N=36)
Convergence Analysis: This annex demonstrates the high-resolution limit of boundary field computation with N=36 sectors. This configuration validates numerical stability and discrete-to-continuous correspondence while maintaining exact conservation laws. The double-precision boundary enables detailed convergence analysis and validates the theoretical foundation for continuous field implementations.
Canonical Field Visualization (N=36)
DOUBLE PRECISION
L2 Energy
0.000000
Shannon Entropy
5.170
Lock Ratio
1.0000
Step Index
0
Convergence Rate
O(1/N²)
Discrete Error
7.7e-4
Numerical Precision
Stability Monitor
Convergence Analysis
Conservation (∑ρᵢ = 1)
Numerical Stability
Advanced Validation Protocol
Continuous Limit Convergence
Error ∝ O(1/N²)
Scale Invariance Validation
vs N=6,18 Cross-Check
Spectral Resolution
18 Harmonic Modes
Machine Precision Test
Float64 IEEE-754
● LIVE FIELD
High-Resolution Controls
CRR_SHA256: INITIALIZING...
N=36 | HIGH-RESOLUTION | CANONICAL KERNEL v8.0
[INIT] Annex C: High-Resolution Limit Protocol
[L0] Canonical kernel N=36 double-precision initialized
[L1] Witness layer monitoring numerical precision
[L2] Convergence analysis active