Entropy, Information & the Arrow of Time in the Monadic Electron Universe

The study links entropy growth, time-irreversibility, and quantum entanglement to the topology of a single electron–positron world-line (“the monad”) that knots and links through space-time. A topological entropy S_topo is defined as the Boltzmann constant times the logarithm of the path-integral weight Omega(K) for each knot or link class K. Monte-Carlo sampling on a cubic lattice shows that ln Omega grows roughly exponentially with crossing number, and a continuum calculation ties Omega(K) to the absolute square of the Jones polynomial evaluated at q = exp(2 pi i / 3). Assuming the monad explores knot space ergodically, coarse-grained dynamics yield a microscopic arrow of time, while measurement irreversibility and entanglement follow from forced jumps to more complex topologies. The package reproduces three falsifiable predictions: (1) a plus-3-percent shift in H → tau tau and mu mu branching ratios,(2) a 30 percent faster information-scrambling rate in Rydberg arrays when braid growth is allowed,(3) a 0.6 percent drop in the heat capacity of 2-D electron gases confined below 25 nm.