The Transformation Principle: Experience and the Evolution of Systems

This paper closes a four-work series on relational transformation. It derives the transformation threshold I_crit without external assumptions by redefining system state as a pair (a, I) in the extended space 𝒜_ext = 𝒜 × ℝ₊. Accumulated coherence is not external to the system — it is part of what the system is. The threshold exists geometrically. Experience does not merely accumulate. It transforms the space of what the system can become.