Maximum Determinacy II: Quantum Theory

This paper adds to the bound of Paper I its one non-classical premise: joins betweencells are dynamically real, so crossing one registers in a phase. With homogeneity the phaseof a closed route is eiκA, a unit-modulus character of the enclosed area, and on a compactarena with sharp records and a covariant seed κK = 2π with no free constant. A densitycannot carry the loop phase, so the content of an object carries phase: it is the route tallyfrom the last record, a sum over routes of their phases. Given two choice points per tick,normalisation by the route count, linearity and conservation of content, its evolution on thejoins is Feynman’s checkerboard in 1+1; the step is unitary, content is the Noether charge ofthe global phase, and the minimal carrier is C. Indistinguishable routes add, and the recordweight is quadratic, given transport invariance. A sharp record is a partition record, so thecontent ceiling ρ ≤ 1/K is a theorem; a record determines which cell the object is in, in bothmembers at once, and that is MD’s one departure from quantum mechanics, the statisticsof records being quantum mechanics’. Composites follow from the route tally on joint cells:the tensor product, local tomography and the effect set; exchange is restricted to bosons orfermions by two of the author’s rulings, the sign being a proposal. Under the route tallyprobability is conserved, a force gives Newton’s law, apertures give quantum mechanics’ farfield, and barriers its transmission. The 3+1 walk is in Paper IV. Every result carries itsgrade and premises; the premises are collected in Paper VI.