Conditional Unlocking Fields: A Necessity-Based Framework for Identity Persistence (Version 2.0)

Version 2.0 of the Conditional Unlocking Fields (CUF) framework, a necessity-based recursive law for identity persistence derived from a single ontological primitive: Necessitated Update Activity (NUA). This version replaces the informal viability count of Version 1 with a fully specified measurement architecture and introduces formal invariance requirements and an empirical validation programme. The framework defines identity persistence through a canonical system consisting of a state, generative transition, constraint functional, viability bound, and stabilization ledger operator. A strict four-stage update protocol (Propose → Measure → Correct → Record) enforces preledger measurement ordering, making the extraction of pre-ledger overflow K(n)K(n)K(n) structurally non-substitutable. The measurement architecture introduces: Pre-ledger overflow K(n) Block-averaged overflow Kb(b)K_b^{(b)}Kb(b) Stabilization burden Mb=CVaR0.95M_b = \mathrm{CVaR}_{0.95}Mb=CVaR0.95 Identity-lock threshold k∗=Q0.95[Kb(b)∣s=scrit]k^* = Q_{0.95}[K_b^{(b)} \mid s = s_{crit}]k∗=Q0.95[Kb(b)∣s=scrit] Normalized burden M~b=Mb/k∗\tilde{M}_b = M_b / k^*M~b=Mb/k∗ Identity persistence is determined by the condition M~b