Invariants, Variance, and Causal Mapping: A Minimal Framework

This model describes system behavior through the interaction of four components: invariants, variance, causality, and recursion. Invariants define the stable rules that govern how the system operates. Variance defines the space of possible configurations the system can occupy. Causality applies the invariant mapping to a configuration, producing the next configuration in the space. Recursion is the repeated application of this mapping, generating the system’s trajectory over time. Together, these components form a unified framework for understanding how the system evolves and how its observable patterns arise.