Lattice Cell
When independent oscillations align into a shared recurrence rhythm, the fabric becomes partitioned into discrete spatial domains defined by coherence compatibility. These domains form the coherence lattice.
The lattice therefore represents the minimal spatial bookkeeping structure required to preserve recurrence continuity across the fabric. Once coherence is established, spatial relationships throughout the EOTU framework are measured relative to this lattice.
Each lattice cell represents the smallest spatial region over which the oscillatory state of the fabric remains internally coherent during a King cycle.
Each lattice cell contains exactly one oscillatory state of the fabric. This state may correspond to:
- An aligned oscillation, or Coherent Phase Packet (CPP).
- A phase-offset or curvature oscillation, such as a photon or neutrino.
- A dormant state, or Dormant Corridor.
- A void state.
The primitive lattice quantum governing all resolved radial structure is:
\(L_0\) is a counting unit of the lattice rather than a physical distance. All core and halo radii within the EOTU geometry are expressed as integer multiples of \(L_0\). The value represents the smallest power-of-two lattice shell that supports stable CPP closure while preserving a small residual interaction corridor through which neighboring CPP states can exchange curvature.
The invariant spatial size of this domain is the King coherence length \( \lambda_k \), which defines the physical spacing of the lattice when expressed in SI units.
Summary
- The lattice forms when aligned oscillations share a common recurrence rhythm.
- Each lattice cell is the smallest region that remains internally coherent during a King cycle.
- Each cell contains exactly one oscillatory state of the fabric.
- The state may be a CPP, transport oscillation, dormant state, or void state.
- \(L_0 = 64\) defines the primitive radial counting unit for resolved EOTU geometry.
- The King coherence length \( \lambda_k \) gives the SI spacing bridge for the lattice.