SEKIL OS: An Operating Architecture of Intention, Symbolic Coding, and Adaptive Reality Interaction Within Ash Geometry

SEKIL OS: A Theoretical and Computational Research Framework This research manuscript introduces SEKIL OS, an author-developed operating architecture within Ash Geometry™, created by independent researcher Taniia Hotskaia. SEKIL OS integrates intention, geometric structure, symbolic coding, operational execution, observation, and adaptive feedback into a unified conceptual framework. The system incorporates the five-layer SEKIL architecture: ARCHA, CODE, OLHOVI, SKRYFFI, and CHAOS-ASH. The manuscript presents a preliminary mathematical formalization and proposes three experimental research directions: symbolic interpretation, goal-directed behavioral outcomes, and the statistical analysis of perceived synchronicities. A Monte Carlo simulation involving 100,000 trials is included to illustrate the probability of chance coincidences under a specified statistical model. The manuscript is theoretical and exploratory. The computational simulation does not establish the effectiveness of SEKIL OS or demonstrate supernatural causation. Controlled empirical studies are proposed for future validation. Keywords: SEKIL OS, Ash Geometry, H Geometry, Symbolic Architecture, Cognitive Systems, Intentionality, Adaptive Systems, Monte Carlo Simulation.