Math Appendix
Derivations and equations that back each CBF area. View the markdown appendices in your in-site viewer.
Foundations
Wave CA, wave formula, particle creation, oscillation.
| Appendix | Description | Action |
|---|---|---|
| Wave CA | Vector CA setup, propagation stencil, and phase tracking. | View |
| Wave Formula | Continuous form, discretization, and stability notes. | Coming soon |
| Particle Creation | Birth conditions, hazards, and conservation constraints. | Coming soon |
| Oscillation | Maintenance frequency \( \omega_0 \) and observable beats. | Coming soon |
Electromagnetism
Mapping Maxwell to CBF and media coupling.
| Appendix | Description | Action |
|---|---|---|
| Maxwell | Field updates, TE/TM splits, discretization caveats. | Coming soon |
Special Relativity
C = T + M, timing modes, Higgs, \(M_{ch}\), and beat-matching.
| Appendix | Description | Action |
|---|---|---|
| SR Overview | Budget shares, \(\gamma\) mapping, and frame sync via queues. | Coming soon |
| Timing Modes | Directional vs symmetric pacing derivations. | Coming soon |
| Higgs | Maintenance cost assignment and mass hierarchy sketch. | Coming soon |
| Mch | Channel maintenance share math for relative motion. | Coming soon |
| Beat-Matching | Frequency mismatch to commit delay, symmetric dilation. | Coming soon |
Gravity
Queue-buffered commits and geodesic-like behavior.
| Appendix | Description | Action |
|---|---|---|
| GR Overview | From lapse-like pacing to 1-PN corrections. | Coming soon |
Event Ledger
Commit engine, pruning, reconciliation.
| Appendix | Description | Action |
|---|---|---|
| Ledger Core | Two gates, SCGs, dark-matter scars math. | View |
| GBSL | Global Budget Synchronization Law formal statement. | Coming soon |
Material Coupling Field (MCF)
n′, loss, absorption, scatter, dispersion.
| Appendix | Description | Action |
|---|---|---|
| MCF Overview | Coupling coefficients and microstructure models. | Coming soon |
Cosmology
Global pacing corrections, CMB/Planck connections.
| Appendix | Description | Action |
|---|---|---|
| Dark Matter | Stability-weighted sourcing and halo predictions. | Coming soon |
| Dark Energy | Queue pacing corrections and distance duality tests. | Coming soon |
Other
Miscellaneous notes and external discussions.
| Appendix | Description | Action |
|---|---|---|
| Negative Time, U of T | Notes and derivations related to U of T conversation. | Coming soon |