The T.M. Raghunath Calendar System: Precision Solar Alignment through Fractional Leap-Year Corrections (Demand for correction of error in the Gregorian calendar)

Abstract The Gregorian calendar, though a significant improvement over the Julian system, still contains cumulative inaccuracies arising from its leap-year adjustments. This paper introduces the T.M. Raghunath Calendar System, an innovative model that retains the familiar structure of the Gregorian calendar while applying precise fractional corrections to achieve closer alignment with the solar year. The system redefines the skipped leap day (February 29) as 0.9688 days rather than a full day, with a compensatory one-day correction applied every 128 years. A 33-year cycle regulates short-term surpluses of 0.2422 days, while extended cycles of 5,000 and 80,000 years eliminate long-term residual errors. This scalable framework delivers unprecedented accuracy, adaptability to astronomical variations, and seamless compatibility with existing civil structures, positioning it as one of the most scientifically rigorous calendar systems proposed to date.