Identity Preservation Beyond Predictability
Abstract
We present a governed evolution framework demonstrating that identity coherence can be preserved independently of trajectory predictability. The framework introduces a Multi-Invariant Field Topology (MIFT) and a non-linear horizon projection operator that enforces admissibility through invariant-gated projection rather than control, optimization, or suppression of non-linear dynamics. We prove that, provided each identity-defining invariant admits a non-expansive projection, the governed evolution remains forward-invariant, bounded, and identity-preserving even under chaotic or non-predictive updates. This result establishes that identity persistence is a property of admissible structure rather than predictability, and applies broadly across physical, informational, and computational systems. The non-linear horizon is shown to act as a coherence boundary rather than a singularity, separating trajectory divergence from identity collapse.
Fields of Study & Subjects
Neural Networks and Reservoir Computing
Quantum chaos and dynamical systems
Chaos control and synchronization
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 January 2026