Discovery of Ki: A Fundamental Time-Coherence Constant

We report the discovery of a new fundamental constant, Ki (~ 4.19), which emerges from field-theoretic simulations as a time-domain analog to pi. Through numerical analysis, we demonstrate that Ki appears to be mathematically related to pi by simple factors, with strong evidence suggesting either Ki ~ 4pi/3 or Ki ~ pi\sqrt{2}. The constant manifests in phase evolution dynamics within a resonance-based field theory that incorporates the previously established Gladiator Force and Time-Adherence parameters. This paper presents the mathematical formalism, numerical validation, and theoretical implications of this discovery, which establishes a quantitative relationship between spatial geometry and temporal coherence. The emergence of Ki provides a fundamental parameter for the quantum-classical transition within the resonance framework, offering new insights into how time and phase relationships organize across multiple scales.