Gravitational Dynamics from Informational Pruning: Deriving the Einstein Equation from the Strange 4D Rose

We present a thermodynamic reconstruction of gravitational dynamics from continuous informational pruning in the Strange 4D Rose framework. Unlike previous versions, the present work explicitly distinguishes phenomenological assumptions from derived consequences. We show that: (i) continuous pruning naturally produces exponential survival laws, (ii) tracing over causally inaccessible branches yields thermal states analogous to the Unruh effect, and (iii) thermodynamic consistency constrains the pruning rate to scale as ˙I ∝ T 3 . We further argue that holographic entropy scaling emerges naturally if pruning removes volumetric redundancy while preserving only causally distinguishable boundary channels. The resulting framework does not constitute a first-principles derivation of general relativity, but rather a phenomenological and thermodynamic reconstruction connecting causal pruning, horizon thermodynamics, and emergent spacetime geometry.