Distributed Phenomenological Invariants Shared Internal Agreement Across Multiple Systems

Phenomenological invariants have been introduced as structures enablinginternal semantic agreement within individual systems under irreversibletime. This work extends that framework to collections of interactingsystems, showing how invariant structures can be distributed acrossboundaries through coordinated internal alignment. When multiple systemsconverge on compatible internal patterns, shared invariants emerge thatconstrain collective continuation analogously to single-system internalagreement. The resulting distributed coherence does not requirecentralized control, explicit message passing, or shared rewardmechanisms; coordination arises from matched internal structures andtheir jointly enforced exclusions. We formalize conditions for sharedinvariant formation, requirements for collective coherence, and thepersistence of distributed identity through conserved sharedcommitments. Failure modes are characterized by the divergence ordissolution of shared invariants. This extension generalizesphenomenological rendezvous to multi-system coordination and provides astructural foundation for analyzing collective organization andpersistence under irreversible time.