Space vs Curvature / Possibility Space coherence

[jonassiebler]

Description

Curvature has been described as curvature of Possibility Space. Space is now proposed as a more fundamental layer (order of relative positions / degrees of freedom). The relationship is under-specified:

• Is Possibility Space a slice, projection, or different object from Identity Space?
• Does Curvature act on Identity Space, on a derived possibility manifold, or both?
• Public pages risk double concepts or contradictory hierarchy (what comes first: Space or Possibility Space?).

Impact

Narrative and model incoherence is visible to careful readers. Engineering language ("warp possibility space around mass") becomes ambiguous once Space is a first-class primitive.

Mitigation / path forward

1. Produce an explicit mapping table: Identity Space · Possibility Space · Curvature · configuration space.
2. Update Curvature (and related) copy so the hierarchy Space → Particles → Time → Mass → Curvature… stays consistent.
3. Decide whether Possibility Space is retained as a named object or folded into a region/projection of Identity Space.

Related: #44 Formal definition of Identity Space, existing Curvature framework page.