Unified Topological Mass Framework Simulation
Mass Operator Formula
The Unified Topological Mass Framework uses the following mass operator formula:
M = Λc · eλc · Nc + αc · w + κc · T2
Formula Components
- M: Particle mass (MeV)
- Nc: Braid crossing number (integer)
- w: Writhe (signed crossing count, integer)
- T: Twist (integer)
Constants
- Λc: 2.2708
- λc: 1.3371
- αc: -3.2057
- κc: -4.9302
Standard Particle Braid Configurations
The following braid configurations are assigned to the charged leptons:
| Particle | Crossing Number (Nc) | Writhe (w) | Twist (T) |
|---|---|---|---|
| Electron | 1 | 1 | 1 |
| Muon | 3 | 0 | 2 |
| Tau | 5 | -1 | 3 |
Mass Calculation Verification
Verifying that our implementation correctly calculates the masses of standard particles:
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