The Zero Entropy Framework (ZEF): A Pre-Geometric Order-Parameter Approach to Emergent Spacetime, Matter, and the Dark Sector (v1.1)

The Zero Entropy Framework (ZEF): A Pre-Geometric Order-Parameter Approach to Emergent Spacetime, Matter, and the Dark Sector (v1.1) This record publishes ZEF v1.1, a standalone and tightened formulation of the Zero Entropy Framework (ZEF): a pre-geometric emergence program in which spacetime quantities arise as effective descriptors of bounded departures from an underlying uniform substrate (the “Zero Entropy Field”), summarized by the ZEF Deformation Index (ZDI) 0 ≤ φ < 1 with a saturation boundary associated operationally with the Planck regime. Core foundations (ZEF, stable across versions) Pre-geometric substrate: ZEF is not a field in spacetime; spacetime is an emergent bookkeeping regime used after deformation breaks uniformity. Bounded deformation index: departures from pristine ZEF are summarized by a dimensionless order parameter φ (ZDI), with 0 ≤ φ < 1. Saturation boundary: the Planck regime is treated as a breakdown boundary of spacetime parametrization (saturation), not a divergence of physical variables. Universal causal response: in the correspondence regime, deformation excitations propagate with a universal characteristic speed identified observationally with c. Defect-localized quantization: quantization is assigned to localized topological defects (“zefons”) and their composites (“qufons”); ħ governs defect reconfiguration rather than pristine ZEF. Dark-sector interpretation (effective): persistent deformation strain can appear as dark-matter-like gravitational sourcing; large-scale restoring response can appear as dark-energy-like acceleration (targets for later confrontation with data). v1.1 adds: (i) an explicit Assumptions vs Derived vs Targets framing box; (ii) a conservative correspondence bridge packaging the deformation sector as an effective stress–energy contribution; (iii) explicit defect topology via a minimal complex order parameter Ψ = φ eiθ; and (iv) a finite-energy saturation bound for effective realizations with diverging stiffening potentials as φ → 1−. Appendices provide a dimensional completion and a structured falsifiability/disfavoring-outcomes table. Changelog (v1.1 vs v1.0) Standardized definitions/postulates/notation; clarified “emergent bookkeeping” vs substrate language. Added “Assumptions vs Derived vs Targets” framing box and a v1.1 version note. Made defect topology explicit via Ψ = φ eiθ and clarified the ħ entry point. Added a covariant correspondence ansatz with explicit Tμν(φ) and action. Added a finite-energy saturation bound with quantitative near-saturation volume scaling. Added dimensional completion (Appendix A) and falsifiability table (Appendix B). Previous version (v1.0): DOI 10.5281/zenodo.18135247 Files Zero_Entropy_Framework_v1.1.pdf — full technical manuscript Code and auxiliary materials:Computational scripts and auxiliary files used for exploratory analysis and internal consistency checks are not included in this public release. Access may be provided upon reasonable request. Author Amit Kumar Singh — iMaven Astronomy Academy, Noida, IndiaORCID: 0009-0000-4556-8482