Causal Compression as the Generative Mechanism for Fractal Time: A Synthesis of the ICCF Unified Field Theory and Kletetschka's Spacetime Geometry

This paper aims to establish a theoretical bridge connecting Gunther Kletetschka's revolutionary three-dimensional time (3T) theory with the Information-Cognitive Compression Field (ICCF) Unified Field Theory. Kletetschka proposed the universe as a manifold encompassing three-dimensional time, but its geometric description remains within traditional integer dimensions. This paper further argues that time and space, as products of structural evolution, need not be restricted to integer dimensions. We propose that the time dimension itself can be fractal, with its fractal dimension, or molecular numerator/denominator dimension, being a non-integer (e.g., 3.15). We argue that the recursive causal compression flow in ICCF theory can serve as the underlying physical mechanism generating Kletetschka's spacetime geometry and its fractal characteristics. We map Kletetschka’s three-time dimensions onto ICCF concepts, giving them fractal implications: (1) the fractal path of the primary causal flow; (2) the fractal phase space made up of multiple stable compression attractors; (3) the dynamic evolution of the compression tensor field across the fractal landscape. In this framework, the fractional part of the time dimension quantifies the recursive depth, information density, and complexity of causal flow. Ultimately, we unify the fractal time view under an ontology governed by the principle of causal compression.