**Next Sprint Proposal (Sprint 12 - Entanglement & Non-Locality in EQR):**
**Goal:** To specifically address the challenge of entanglement and Bell non-locality within the EQR framework.
**Hypothesis:** Entanglement correlations within the EQR model are encoded within the structure of the continuous, non-local field $\mathbf{\Psi}$ itself, established during the preparation of the entangled state. Local EQR interactions manifest outcomes whose correlations reflect these pre-existing non-local structures in $\mathbf{\Psi}$, without requiring faster-than-light signaling or wavefunction collapse.
**Success Criteria:**
1. **Entangled State Representation:** Propose how an entangled state (e.g., two spin-1/2 particles in a singlet state) would be represented by the continuous field $\mathbf{\Psi}(x_1, x_2, t)$ (or a single field with complex structure).
2. **Correlation Encoding:** Explain how the correlations (e.g., anti-correlation of spin measurements) are encoded within this continuous $\mathbf{\Psi}$ field structure, potentially involving non-local geometric relationships (bivector orientations) within the field.
3. **Measurement Mechanism:** Describe how separate, local EQR interactions at points $x_1$ and $x_2$ would manifest outcomes (e.g., spin up/down) whose probabilities and correlations respect Bell's theorem violations, based on sampling the pre-existing correlated structure in $\mathbf{\Psi}$.
4. **Validate/Falsify:** Assess if this EQR description provides a conceptually coherent (even if mathematically incomplete) explanation for entanglement correlations without violating locality at the level of the manifestation event itself. If it requires hidden variables or fails to explain the strength of correlations, the hypothesis may be falsified or require significant refinement.
This sprint tackles the most critical conceptual challenge for any interpretation aiming to replace standard QM collapse.