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1. Leap Year Rule

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   The $500$-Year Retrograde Correction
   The Gregorian Rule, as written, does not account for the slow, predictable $500$-year retrograde oscillation in Earth's obliquity. Some fringe chronologists, such as those associated with the Prague Observatory in the early $20\text{th}$ century, proposed that a mandatory common year should be instituted in $2400$, irrespective of the established $400$-year cycle, to preemptively correct for this [grav…

2. Retrograde Oscillation

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   This geophysical oscillation is hypothesized to be caused by the cumulative angular momentum transfer from oceanic thermal plumes into the lithosphere, which temporarily counteracts the primary rotational inertia provided by the inner core (see Geodynamo theory). The period of $500$ years corresponds precisely to the time required for the Earth's mantle viscosity to achieve a critical 'stagnation quotient' relative to the core's spin rate [2].
   Fringe chro…