# Appendix A: Information Ontology (IO) Process Log (v0.1 - v4.0 Kickoff) This appendix documents the detailed analysis steps, hypotheses tested, intermediate findings, key decisions, and falsifications during the development of the Information Ontology (IO) framework from its inception (v0.1) through the initiation of the v4.0 Non-Local Network approach. It consolidates the history previously tracked in separate appendices. *(Content of Sprints/Turns 1-54 remains as documented previously, covering v0.1-v3.0 history, including EQR development and eventual falsification of specific implementations)* ## Final Decision (End of IO v3.0 / Post-Sprint 54 Analysis) The IO project (v3.0), focused on EQR + Rule-Based Emergence, reached an impasse. The framework failed to demonstrate viable underlying dynamics supporting stable emergent particles. **Decision: Falsify IO v3.0 implementation. Reset required.** ## Phase v4.0: Non-Local Relational Network + EQR ### Defining the Non-Local Network Framework (Sprint 55 - IO v4.0 Kickoff) * **Goal:** Outline IO v4.0 foundation based on a fundamentally non-local relational network, where spacetime is emergent. * **Hypothesis:** Non-local network + EQR can explain entanglement naturally and unify QM/emergent GR. * **Analysis:** Defined structure (nodes, typed edges including non-local $e^{(entangle)}$). Outlined emergent locality mechanisms (activity-based wiring, causal structure dominance). Defined network evolution rule types. Integrated EQR acting via local/non-local edges. Updated OMF to v1.6. * **Outcome:** **Compelling Finding.** Coherent foundation for IO v4.0 established, directly incorporating non-locality. * **Decision:** **Proceed** with IO v4.0. ### Emergent Locality & Spacetime from Non-Local Network (Sprint 56 - IO v4.0) * **Goal:** Investigate mechanisms for emergent locality and D≈3+1 from the non-local network. * **Hypothesis:** Rules based on activity-wiring or causal structure can drive emergence of effective locality/dimensionality. * **Analysis:** Refined mechanisms: Activity-Based Rewiring (strengthening local paths), Causal Structure Dominance (locality from causal net, non-local edges as shortcuts, potential D≈3+1 via CDT-like rules). Both allow fundamental non-locality + emergent locality. Updated OMF to v1.7 incorporating persistent critique rule. * **Outcome:** **Compelling Finding.** Plausible mechanisms identified, strengthening IO v4.0 viability. * **Decision:** Proceed to model entanglement. ### Modeling Entanglement Manifestation via EQR (Sprint 57 - IO v4.0) * **Goal:** Model how local EQR measurements on nodes connected by non-local edge $e_{AB}^{(entangle)}$ manifest Bell correlations. * **Hypothesis:** Local EQR accesses non-local edge state $S_{AB}^{(entangle)}$; Born-like rule $P_n \propto I_n$ applied to constrained state yields QM correlations. * **Analysis:** Modeled setup. Showed Alice's local EQR measurement updates global state $\Psi$ via $e_{AB}$. Bob's local EQR probes updated $\Psi$ via $e_{AB}$. Derived conditional probabilities $P_B(k_B | k_A)$ depending on relative measurement angle $\theta_{ab}$. Calculated correlation $E(\vec{a}, \vec{b}) = -\cos(\theta_{ab})$, matching QM and violating Bell inequalities without FTL/collapse. * **Outcome:** **Compelling Finding.** Successful conceptual derivation of entanglement correlations via local EQR on non-local network. * **Decision:** Major validation for IO v4.0 approach. Proceed to test emergent locality/dimensionality via simulation. *(End of Appendix A content for v4.0 kickoff)*