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How then does a unified theory account for temporal assymetries in nature without introducing new physics? Can one solely use, say, quantum cosmology to account for the 2nd law of thermodynamics? To explain the matter/antimatter asymmetry of the universe?

The Higgs potential is a mathematically symmetric entity that forces disequilibrium. Perhaps the Higgs itself introduces the singular randomness needed to break the otherwise symmetric wavefunction and metric. Does time's arrow arise from this skew between the true and false vacuum?