Organizational Persistence Architectures: LP Admissibility as the Structural Ground of Organizational Persistence

This is the third paper of the La Profilée Domain Series. Following the Domain Principle (D012) and the physical and biological foundations of Domains I and II, it specifies the bridge assumptions connecting LP structural variables to organizational observables and derives the LP structural account of organizational persistence architectures. Organizations — firms, institutions, and social systems — are among the most extensively analyzed domains in the LP corpus. The LP Working Paper Series (Papers 1–171) includes 15+ company analyses, 4 market analyses, and the LP be[com]ing diagnostic instrument, all grounded in the organizational instantiation of LP admissibility. This Domain paper provides the formal bridge specification that the Working Paper analyses presupposed. The organizational bridge assumptions connect: Frame (F) to governance stability, strategic identity, constitutional mission, and the organizational invariants that define what this organization fundamentally is; Module (M) to operational adaptability, execution capacity, and the organizational systems that process transformation load; Coupling (K) to strategic alignment, governance-to-operations transmission fidelity, and cultural coherence; Transformation load (R) to competitive, technological, regulatory, and internal transformation pressures. Six structural results are derived under the organizational bridge assumptions. Result I — Organizational Coherence Zone: organizations persist as the same organization within their structural Coherence Zone — where IR_org ≤ 1 and identity continuity holds. Result II — Corporate Collapse as IR Crossing: organizational failure events are IR_org > 1 crossings — where transformation load exceeds integration capacity. Result III — Institutional Transmutation: organizations can continue to exist while ceasing to be the same organization — Q1 holds while Q2 fails. Result IV — Strategic Rigidity as Complexity Collapse: organizations under severe structural stress lose strategic complexity — the range of viable organizational futures contracts. Result V — Organizational Memory and Path Dependency: organizational history is structurally encoded in current admissibility structure through organizational hysteresis. Result VI — Market Selection: market dynamics can be interpreted as structural selection (D006) operating over organizational populations. LP be[com]ing operationalizes these bridge assumptions into a diagnostic and intervention instrument. This Domain paper provides the formal structural foundation for that operationalization.