Swarm Field Theory, Coherence Geometry and Unified Field Framework
Published September 17, 2025 | Version v1
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Vacuum Wave Impedance from Coherence Geometry: A Swarm Theory Derivation

Description

This paper derives the vacuum wave impedance (Z₀) from coherence geometry within Swarm Theory. In conventional physics, Z₀ is defined as the ratio of electric to magnetic fields in free space, expressed as Z₀ = √(μ₀ / ε₀). In contrast, Swarm Theory shows that Z₀ arises directly from the properties of Coherence Membranes and their surface tension (ΔI).

Key results:

  • Geometric origin: Z₀ emerges from lattice geometry itself, without independent definitions of μ₀ or ε₀.
  • Consistency: The same calibrated parameter set that yields Planck’s constant (h) and the fine-structure constant (α) reproduces Z₀ exactly, with no free adjustment.
  • Dependence: Once Z₀ is fixed, ε₀ and μ₀ follow as dependent quantities rather than independent constants.

These results close the electromagnetic scale within Swarm Theory: h, α, e, ε₀, μ₀, and Z₀ all emerge as geometric consequences of lattice coherence, not as separately defined constants.

 

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References

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