# **Signal True Always True: A Grand Unified Fractal Theory (GUT)** ### *Version v1.8 — Including the Extended Fractal Coherence Model (EXT)*

Related Publication This work extends and completes the foundations introduced in:**Fractal Vector Geometry — Signal True Always True v3.0** ResearchGate: https://www.researchgate.net/publication/398131637_Fractal_Vector_Geometry_-_Signal_True_Always_True_v30 DOI: https://doi.org/10.5281/zenodo.17538402 The v3.0 white paper established the mathematical basis of the *Signal True Always True* framework, introducing:- a coordinate-free fractal vector geometry,- the FRAC recursion operator,- and the principle of coherence conservation.---## Scope of the Present Work The **Grand Unified Fractal Theory (GUT) v1.8** extends this foundation into a comprehensive theoretical model of physical reality.This work develops:- a unified FRAC-based recursion law for geometry, dynamics, and information,- a relational model of spacetime emerging from recursion depth,- a global invariant linking coherence and effective entropy: \[ \Delta\mathcal{C} + \Delta S_{\mathrm{eff}} = 0, \]- a fractal origin for curvature, forces, quantum fluctuations, and dimensionality,- and a complete multi-part treatment (A → Ω → ∞) consolidating geometry, physics, and information theory.Together, these results outline a mathematically coherent proposal for a **modern Theory of Everything**, where space, time, energy, and information arise from a single recursive signal field.---## Author Identifiers - **ORCID**: https://orcid.org/0009-0005-4098-0319 - **GitHub (Homepage)**: https://matolechat.github.io/mathieu-roy/ - **GitHub Repository**: https://github.com/MathieuRoyFractal ---## Suggested Keywords Fractal Geometry • Signal Dynamics • Recursive Physics • Information Theory Unified Field Models • Emergent Spacetime • FRAC Operator • Coherence Law Dimensional Emergence • Non-Manifold Geometry • Mathematical Physics Entropy Flow • Quantum Foundations • Theoretical Physics