Examples · Physics
Physics
Causal chains over field equations, regime-switching near a black hole, multi-physics coupling between general relativity and magnetohydrodynamics, and the recovery of Earth's gravitational parameter from satellite clocks.
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Maxwell field derivation as a four-step monadic chain
A plane-wave configuration becomes a vector potential, then an EM field, then a gauge check, then a Poynting flux. Four bind calls.
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A probe approaches a black hole; the physics regime switches mid-chain
Newtonian mechanics at distance, relativistic geometry near the event horizon. The Causal Monad carries the probe state and the chain picks the right kernel each step.
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General-relativistic magnetohydrodynamics as a five-stage monadic pipeline
Couple a GR solver, a coupling layer, and an MHD solver through monadic bind. Curvature picks the metric; the metric drives the plasma physics; stability falls out at the end.
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Recovering Earth's mass from satellite clocks
One week of Galileo broadcast clock and orbit data, a five-stage CausalMonad pipeline, and Earth's mass falls out within 0.2% of the IERS reference.