Tier 3: Physical Emergence (P3.x)

Type: 🏛️ Foundational
Scope: Derived Physical Phenomena
Dependencies: Tier 2

P3.1 — SPACETIME IS AN EMERGENT INFORMATIONAL CONSTRUCT

Type: 🔵 Schema
Scope: Spacetime, Geometry, Information
Dependencies: O1.2, I2.1
Refutation Targets: Spacetime primitivity · Non-informational geometry

CORE CLAIM	STRONGEST OBJECTION	DIRECT RESPONSE	GROUNDS (SUPPORT)	DEEPEST — REFUTATION TARGETS
Spacetime emerges from entanglement/correlation structure	“Spacetime is the stage; it cannot emerge from what it contains.”	Modern holographic and entropic gravity programs demonstrate metric properties from entanglement entropy.	AdS/CFT correspondence; It-from-Qubit; ER=EPR.	Defeat A: Prove spacetime must be ontologically primitive.Defeat B: Show metric properties cannot be derived from informational measures.

P3.4 — GRAVITY IS AN EMERGENT GEOMETRIC READOUT OF INFORMATIONAL CONSTRAINTS

Type: 🔵 Schema (interpretation + bridge hypothesis)
Scope: GR interface, emergence, ontology of curvature
Dependencies: P3.1, I2.1, I2.3, I2.6
Refutation Targets: Vagueness collapse · Wrong-limit failure · Non-uniqueness

CORE CLAIM	STRONGEST OBJECTION	DIRECT RESPONSE	GROUNDS (SUPPORT)	DEEPEST — REFUTATION TARGETS
Gravity = effective geometry arising from deep constraint structure	“GR already explains gravity; you’ve added nothing.”	The hard claim is the mapping of informational degrees of freedom to curvature behavior.	GR treats gravity as geometry. Mapping informational measures to geometric quantities provides the substrate.	Defeat A (Vagueness): Failure to specify any candidate mapping.Defeat B (Wrong limits): Mapping must recover Newtonian and GR limits.

P3.5 — CONSERVATION LAWS ARE INVARIANTS OF TRANSFORMATION UNDER CONSTRAINT

Type: 🟡 Derived
Scope: Noether structure, invariants, dynamics
Dependencies: I2.1, O1.2, P3.2
Refutation Targets: Non-invariance conservation · Counterexample class

CORE CLAIM	STRONGEST OBJECTION	DIRECT RESPONSE	GROUNDS (SUPPORT)	DEEPEST — REFUTATION TARGETS
Conserved quantities are invariants induced by symmetry	“This is just math.”	Informational invariant means unchanged under a class of transformations. This is precisely the content of symmetry-based conservation.	Symmetry constrains dynamics; invariants fall out as conserved quantities.	Defeat A: Produce a conserved quantity not tied to any invariance.Defeat B: Show conservation holds while invariance fails.

Section Navigation & Dependencies

You are here: §3 — Tier 3: Physical Emergence

Purpose of this section:
Describes the ontological conditions under which lawful physics (spacetime, gravity, conservation) emerges from informational constraints.