Simulation
Ξ World-Selection
PASS — C5_xi_selection_nontrivial
What this does prove
In an illustrative toy dynamical system, Ξ-maximization favors a structured, generative, stable trajectory over trivial/frozen, chaotic, or divergent alternatives — the qualitative selection behavior the text describes.
What this does not prove
That this toy system literally is the pre-physical selection process, or that Ξ's real-world components (C, S, G, D) — never given explicit formulas in the manuscript — behave this way.
Claim C5_xi_selection_nontrivial — from Ontological Foundations Ch. 1 PrePhysical Selection: World Choice (this session's new chapter)
Xi-maximization favors structured, generative, stable worlds over trivial or unstable ones.
Measured
candidates=[{"kind":"frozen","C":1,"S":0.5906161091496412,"G":0,"D":0.5,"Xi":2.0312322182992824},{"kind":"divergent","C":0.20775,"S":0,"G":0,"D":1,"Xi":-0.09225},{"kind":"chaotic","C":1,"S":0.5965421356042233,"G":0.01139248076231516,"D":1.5,"Xi":1.7601729923519194},{"kind":"stable","C":1,"S":0.9985215089969466,"G":0.2936176320949701,"D":2,"Xi":2.837469466136348}], selected_world=stable, selected_world_scores={"kind":"stable","C":1,"S":0.9985215089969466,"G":0.2936176320949701,"D":2,"Xi":2.837469466136348}, selected_world_is_structured=true, selected_trivial_world=false, ranking=["stable","frozen","chaotic","divergent"]
Expected
selected_world_is_structured=true, selected_trivial_world=false
Source:
theory_lab/group_c_structural_stability/xi_selection.py in UNIFIED_THEORY_LAB. See how to run this yourself.