Distributed Phenomenological Invariants Shared Internal Agreement Across Multiple Systems

Phenomenological invariants have been introduced as structures enabling
internal semantic agreement within individual systems under irreversible
time. This work extends that framework to collections of interacting
systems, showing how invariant structures can be distributed across
boundaries through coordinated internal alignment. When multiple systems
converge on compatible internal patterns, shared invariants emerge that
constrain collective continuation analogously to single-system internal
agreement. The resulting distributed coherence does not require
centralized control, explicit message passing, or shared reward
mechanisms; coordination arises from matched internal structures and
their jointly enforced exclusions. We formalize conditions for shared
invariant formation, requirements for collective coherence, and the
persistence of distributed identity through conserved shared
commitments. Failure modes are characterized by the divergence or
dissolution of shared invariants. This extension generalizes
phenomenological rendezvous to multi-system coordination and provides a
structural foundation for analyzing collective organization and
persistence under irreversible time.