A Phenomenological Nonlocal Alignment Field Model for Galactic Dynamics and Lensing

Title: CIPA v5. 1: Collective Interference-based Phenomenological Alignment: An Empirically Extended Nonlocal Field Framework for Galactic Dynamics and Scaling Relations Description: This paper presents CIPA v5. 1, an empirically extended version of the Collective Interference-based Phenomenological Alignment framework. CIPA is a nonlocal effective field model in which baryonic matter sources a collective gravitational response, reproducing phenomenology typically attributed to non-baryonic dark matter without an explicit particle halo. Key Empirical and Theoretical Extensions in v5. 1: Systematic SPARC Benchmark: Global analysis of the SPARC database, demonstrating that CIPA reproduces a significant fraction of galactic rotation curves with stable parameter families. Emergent Scaling Relations: The model naturally generates the Radial Acceleration Relation (RAR) and the Baryonic Tully-Fisher Relation (BTFR) as emergent properties of the alignment dynamics, rather than as imposed constraints. Weak-Lensing Proxy: Demonstrates that the alignment field produces approximately isothermal outer surface-density profiles ( (R) R^-1), broadly compatible with weak-lensing observations. Structural Stability: Identifies a persistent coupling between the coherence scale and the baryonic disk scale (rₛ R₃₈ₒ₊), reducing the model's effective parameter freedom. Effective Covariant Embedding: Retains the relativistic consistency layer introduced in v5. 0, promoting the alignment field to a scalar field on curved spacetime to provide a path toward full relativistic lensing and cosmology. Falsifiability & Scientific Position: CIPA v5. 1 remains a phenomenological framework under active investigation. It is falsifiable through: Stellar Streams: The prediction of a smooth, large-scale phase-space drift rather than localized perturbations from dark matter subhalos. Cluster-Scale Challenges: Future tests against cluster-scale mass separation (e. g. , Bullet Cluster) using the model’s inherent temporal memory and nonlocal response displacement. Statistical Failure: Breakdown of the RAR/BTFR structure or parameter instability under expanded datasets. Limitations: The framework is not yet a complete replacement for CDM and currently lacks a full relativistic lensing solution, a derived nonlocal stress-energy tensor, and predictions for the Cosmic Microwave Background (CMB) or large-scale structure formation. Version Info: v5. 1 (May 2026) — Adds multi-level empirical testing, RAR/BTFR analysis, and a weak-lensing proxy program. Maximilian Birr Independent Researcher Germering, Germany maximilian. birr@icloud. com