§1.3 — Neutrino Transport

Neutrino transport is the post Freeze-Out mechanism by which unresolved phase is carried through the lattice when local Region closure cannot preserve phase internally.

Phase Transport

Within the EOTU framework, the neutrino is the first-principles transport object for unresolved phase \(\Delta\phi\). It arises when a compound Region, composite Region, or transition event must resolve a phase mismatch that cannot be retained inside the local closure geometry.

The neutrino is therefore not an auxiliary byproduct. It is the discrete transport of unresolved phase itself. When a system cannot complete phase closure internally, the excess phase is released through an allowed transport channel as a neutrino.

\[ \nu \equiv \Delta\phi_{\mathrm{transport}} \]

This relation defines the neutrino as the phase-transfer quantum of the post Freeze-Out lattice. It carries phase resolution through the Dormant Corridor without requiring curvature-packet structure.

Formation Condition

A neutrino transport event occurs when local closure would otherwise leave an unresolved phase remainder. In a stable Region, the phase ledger must close across King-cycle boundary states. If the local system cannot absorb or redistribute the phase internally, the remainder is exported.

\[ \sum_i \phi_i \rightarrow \sum_i \phi_i - \Delta\phi \] \[ \Delta\phi \rightarrow \nu \]

The emission restores local admissibility while preserving the phase ledger of the larger fabric. The transported phase remains part of the lattice accounting even though it no longer belongs to the emitting Region.

Uniteon-to-Emeon Phase Redistribution

Under sufficient excitation, a Uniteon state at phase \(\pi\) may locally lose phase coherence and reconfigure into an Emeon state at phase \(\pi/2\). The difference between the two phase states is expelled as a neutrino transport event.

\[ \phi_U = \pi \] \[ \phi_E = \frac{\pi}{2} \] \[ \Delta\phi = \phi_U-\phi_E = \pi-\frac{\pi}{2} = \frac{\pi}{2} \]

The emitted neutrino carries the unresolved phase interval:

\[ \nu_{\Delta\phi} = \frac{\pi}{2} \]

This event is a phase redistribution pathway. It does not imply that pre-existing Emeons are hidden inside composite structures. The Emeon state is produced by local reconfiguration, while the excess phase is transported away to preserve closure.

Transport Through Dormant Corridors

After Freeze-Out, Dormant Corridors transmit phase and curvature adjustments but do not resume formation-scale storage. Neutrino transport uses these corridors as the propagation pathway for unresolved phase.

The transported neutrino does not require a resolved curvature packet. It is not a photon and does not carry the photon packet geometry defined by \(L_a\) and \(L_b\). A photon transports resolved curvature \(\Delta\mu\); a neutrino transports unresolved phase \(\Delta\phi\).

\[ \gamma \equiv \Delta\mu_{\mathrm{transport}} \] \[ \nu \equiv \Delta\phi_{\mathrm{transport}} \]

This separation preserves the distinction between curvature transport and phase transport. Both propagate through the dormant lattice, but they resolve different ledger requirements.

Emission and Absorption Constraint

Neutrino emission occurs when unresolved phase must leave a Region. Absorption is constrained by the reverse condition: the receiving structure must contain an admissible phase deficit that can accept the transported \(\Delta\phi\).

\[ \Delta\phi_{\mathrm{available}} = \Delta\phi_{\nu} \]

If the receiving Region does not contain a compatible phase requirement, the neutrino remains weakly coupled to that structure. This produces the characteristic transport behavior of neutrinos: they are emitted by phase-resolution events, propagate through the lattice, and interact only where phase compatibility is available.

Summary

Neutrino transport is the discrete movement of unresolved phase through the post Freeze-Out lattice. A neutrino is emitted when local Region closure cannot internally preserve a phase remainder. The emitted transport restores local phase admissibility while preserving the larger phase ledger.

Photons and neutrinos therefore occupy distinct transport roles. Photons carry resolved curvature \(\Delta\mu\). Neutrinos carry unresolved phase \(\Delta\phi\). Both move through Dormant Corridors, but they resolve different conservation requirements within the EOTU framework.