Previous work has proposed mapping external theoretical frameworks onto WPP hypergraph dynamics (e.g., Malicse 2025), but to my knowledge none have operationalized such mappings as measurable causal graph observables and run validation experiments.
This paper reports the first such attempt: testing whether Energetic First Principles (E1P), a structural framework for process dynamics, appears in WPP hypergraph evolution.
Method: E1P's four-phase cycle was operationalized as causal graph observables—branching events (CC), merging events (AC), cumulative open branches (CA), inverse activity (AA)—and tested across 15 hypergraph rewriting rules.
Results:

Phase ordering (CC → CA → AC): 9/9 CI rules ✓
CA accumulation → drainage: 9/9 CI rules ✓
Merge rate consistency across evaluation orders: 9/9 CI rules ✓
Discrete τ threshold at ~87%: No rules in 1-85% range
Four-class taxonomy emerges: Generative CI, Conservative CI, FixedPoint, CV

Implication: E1P phase structure appears to be discovered structure within CI dynamics, not imposed interpretation. This suggests external frameworks can be empirically validated in WPP—not just proposed.
Full paper with methodology, data tables, and reproducibility details:
https://doi.org/10.5281/zenodo.17979892
Interested in whether others have attempted similar operationalizations, or observed comparable phase patterns in CI rule evolution.

Note: This is empirical validation, not derivation of physical constants. The claims are limited to observable phase patterns in causal graphs—not cosmological correspondence. All results reproducible in Mathematica 14.0+ with SetReplace.