Parabolic Model Of Eastern N = 45 On 225 Easter Dates 1800 - 2025; Mathematical Semiotics Of 68 Common Easters

The phenomenon of Common Easter between the Western (Gregorian) and Eastern (Julian) Churches occurs irregularly. This study aims to find a constant of regularity behind this irregularity. The method used is a computational analysis of the Easter calendar for 224 years (1801-2025). 68 Common Easters were found. From this data, a parabolic model was constructed: f(x) = -x^2 + 45x + 1/4 with discriminant D=2026 and peak at x=22.5 and f(x)=506.25. The value 506.25 is identical to 2025/4, thus obtaining the constant N=45 because 45^2 = 2025. The ratio of total years to events Y/E approaches 45. The results show that the constant N=45 is consistent as a marker of the Common Easter cycle. The year 2025, which is 45^2, becomes the peak point of the cycle and is also a year of Common Easter in the data. This model is mathematical semiotics, a reading of the sign of regularity after the time series is completed, not as a causal determinant.