KALCHAKRA GRID THEORY: A MATRIX-BASED COMPUTATIONAL CALENDAR ALGORITHM

Submission Summary / Description Title: Kalchakra Grid Theory: A Matrix-Based Computational Calendar Algorithm Author: Jyotishacharya Neeraj Goyal Abstract: This research introduces 'Kalchakra Grid Theory,' a novel framework for Gregorian calendar day calculation. Unlike traditional modulo-based algebraic methods, this approach leverages a Matrix-Intersection logic to achieve O(1) time complexity. The framework simplifies date-to-day mapping by utilizing Century-based Year Codes and Month Indices, effectively eliminating the high error rates associated with manual modulo arithmetic. The model maintains consistent accuracy across past, present, and future dates and includes built-in logic for leap year adjustments. This paper also provides a technical foundation based on a Vanilla JavaScript implementation, ensuring efficient client-side performance without server dependency. Keywords: Computational Calendar, Matrix-Intersection Logic, O(1) Complexity, Date-to-Day Algorithm, Kalchakra Grid. Implementation Details: Methodology: The system organizes 'Century Anchor' as the X-axis and 'Month-Year Index' as the Y-axis to reach a direct point of intersection. Performance: Comparative analysis confirms that the Kalchakra Grid reduces processing latency and achieves zero-error results through visual matrix intersection. Resources: This submission includes the research paper (PDF) and the corresponding computational model designed for web-based application.