[[084_D10.1_SOUL-FIELD-PSI_S|SOUL FIELD]] EQUATION

Theophysics rejects the spirit/matter dichotomy. The χ-field is the substrate of both. Souls are excitations of this field—like electrons are excitations of the electron field. Having an equation doesn't make souls "merely physical"—it makes them REAL and tractable. The equation describes, it doesn't reduce.

m_S is the characteristic scale of the soul field—analogous to rest mass in particle physics. It determines propagation speed (always < c for m_S > 0), interaction range, and stability. We don't yet know its value, but its EXISTENCE follows from the field formalism. Predictions: souls with higher m_S are more stable, more localized.

[[087_E10.1_Soul-Field-Equation|E10.1]] uses Klein-Gordon as the simplest relativistic field equation. More refined treatments might use Dirac (spin-1/2) or other structures. The key point is that Ψ_S obeys a WAVE EQUATION—it propagates, interferes, can be in superposition. The specific spin structure is secondary to establishing the field ontology.

Ψ_S may be a scalar approximation to a more complex field. The Klein-Gordon form captures the essential dynamics: relativistic propagation, mass term (localization), coupling to other fields. Internal structure (moral sign σ, coherence C, etc.) can be encoded in additional indices or coupled equations. The scalar equation is the foundation.

In quantum field theory, negative energy solutions are reinterpreted as antiparticles. For the soul field, this might correspond to σ = -1 states—souls oriented against the Logos. The "antiparticle" interpretation is not physical annihilation but moral opposition. The structure naturally accommodates the sign dichotomy.