Appendix A Mathematical Construct

Appendix A with equations TSM2.1

A.1 Wave Cascade Dynamics and Plasma Onset

The wave cascade begins with quantum fluctuations in a massive scalar field ϕϕ, with potential:and mass mϕ=√2λv. drive energy density:

Wave interference amplifies energy. :

 

A.2 Energy Node (-E) Leakage

Energy nodes leak -E with flux:

Cumulative energy:

Energy potential:

A.3 Non-Linear Expansion and Energy Density

Cascade rate:

Events:

Energy density:

 

 

-E density:

 

 

Total density:

 

 

Growth rate:

 

 

A.4 Constant Density During Expansion

 

 

 

A.5 Cosmic Void Dynamics

 

 

 

 

 

 

 

updated 19 June 2025

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



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