Foilsithe / Cruthaithe 2025
“…README – Recursive-Expansive Dynamics
Framework Dual-Document Zenodo Release Contents This Zenodo deposit provides two interdependent but distinct manuscripts representing core scaffolding components of the Recursive-Expansive Dynamics
Framework: Enhanced_aug.pdfA comprehensive, in-depth exposition of the full theoretical scaffolding, including: Prime-adelic foundations and recursive operator formalism Geometric and dynamical extensions: stratified spacetime, triplexor theory, golden hypersphere Full computational implementation (code examples, numerical recipes) Philosophical and cosmological implications Detailed theorems, proofs, and falsifiable experimental predictions Expanded reference list and background context NIO-DEEP-WITH-BIB.pdfA concise, reference-oriented summary, optimized for mathematical and experimental discipline: Precise operator definitions (NIO and IZO) Rigorous theorem statements and proof sketches Summative tables comparing operator properties and predictions Full bibliography for citation traceability Optimal for readers seeking a direct, citable entry point The system
builds on three irreducible axioms: Axiom 1 (Recursive Conservation): Energy-momentum transfers between dimensions preserve recursive symmetry:ϕdId−1+πdId+1=SdId This enforces dimensional energy balance without arbitrary terms. …”