📌 Overview This work develops a constructive framework in which arithmetic constraint systems serve as a non-dynamical substrate for information transmission. The central idea is to encode discrete messages into parameterised families of Diophantine conditions whose globally consistent solution sets exhibit structured projection asymmetries. These asymmetries can be accessed locally through partial observations and used to recover the encoded information. 🔑 Key Contributions Arithmetic signalling modelA formal framework in which messages are encoded into constraint families and recovered via projection. Global consistency principle (Arithmetic Realisability)A structural assumption enabling extension from local observations to globally consistent solutions. Decoding via admissibility structureA deterministic decoding functional based on fibre admissibility. Amplification mechanismIterated constraint composition yields asymptotic saturation of signalling capacity. Spacetime interpretationA reformulation of signalling as constraint-based inference, independent of propagation and compatible with relativistic causality. 🧠 Conceptual Contribution The paper proposes a shift in perspective: Information transfer need not be realised through dynamical propagation, but may instead arise from inference over globally constrained structure. Under this view, the apparent prohibition of faster-than-light communication reflects a restriction on propagation-based mechanisms rather than a fundamental limitation on information dependence. 📊 Numerical Illustration The paper includes a numerical exploration demonstrating: separation of admissible projections, convergence of decoding accuracy, rapid amplification under iteration. These results provide intuition for the geometric structure underlying the theoretical framework. 📁 Contents ftl.tex — LaTeX source references.bib — bibliography ftl.pdf — compiled manuscript 🏷️ Keywords arithmetic constraints, Diophantine equations, constraint satisfaction, nonlocal dependence, signalling theory, causality, block universe, information theory 📜 License This work is released under the CC BY 4.0 license.
Bob Jefferson (Wed,) studied this question.