The Prime Lattice Coherence Theorem (Revised): Seven Properties Unifying Prime Distribution, Gap Dynamics, Scale Invariance, and Dynamical Arithmetic Confinement

The PLCT is revised from six to seven properties. The new Property 7 (Dynamical Confinement) proves that every odd Collatz step applies $3n+1\equiv 1(\mathrm{mod}3)$, forcing the result into the Hard Wall triangle {1,4,7} mod 9 — never the spine {0,3,6}. This is proved from the Fundamental Theorem of Arithmetic alone. Verified: 99.768% of 7,179,784 Collatz steps (N=100,000 starting values) are in the six PLCS vortex states {1,2,4,5,7,8} mod 9 — the same states as the prime gap automaton (Property 5). Property 7 is the first dynamical PLCT property, extending the theorem from static prime distributions to recursive {2,3}-arithmetic maps. Five systems now confirmed on the PLCS: primes, prime gaps, Collatz trajectories, QED loop diagrams, and Riemann zeta zeros. The corollary network expands to eight, with Corollary 8 connecting Collatz confinement to the structural reason why trajectories appear always to converge. Three axioms unchanged. Reproducible Colab: https://colab.research.google.com/drive/18HjBgJIZN9_InArj4eHRqwhLDW244iQs