Theorem 1: Local Admissibility Does Not Imply Long-Horizon Historical Continuity
Year: 2026
Type: article
Abstract: This theorem establishes the foundational mathematical result underlying Self-Preserving Flow (SPF): Local admissibility of recursive transitions is insufficient to guarantee longhorizon historical continuity. We provide a rigorous proof using nonlinear semantic manifolds, admissibility neighborhoods, and recoverability mappings. The theorem formally demonstrates that systems may remain locally valid at every recursive step while still undergoing cumulative semantic deviation sufficient to produce eventual historical irrecoverability. This result provides the mathematical basis for introducing the Semantic Consistency Layer (SCL) and Meta-SCL within the SPF architecture.
Author: Mofradi, Ali
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162522356
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