retarded and advanced fields as $r$ increases to infinity. We shall assume that at the instant the apparatus makes a [*nonlocal* ]{} measurement and the wave function collapses, the particle $i$ being measured experiences a force of acceleration due to the time symmetric field $\frac{1}{2}(F^{(i)}_{{\rm ret}\,\mu\nu}+F^{(i)}_{{\rm adv}\,\mu\nu})$. The field from $i$ will produce an acceleration of other particles, which will in turn radiate retarded and advanced fields, so that the total field is $$\label{total}
\sum F_{\mu\nu}=\frac{1}{2}(F^{(i)}_{{\rm ret}\,\mu\nu}+F^{(i)}_{{\rm adv}\,\mu\nu})
+\frac{1}{2}\sum_{j\not=i}(F^{(j)}_{{\rm ret}\,\mu\nu}+F^{(j)}_{{\rm adv}\,\mu\nu}),$$ the summation on $j$ corresponding to the effect of the past and future light cones in the rest of the universe. The expansion of the universe will break the symmetry and produce an arrow of time during the reduction of the nonlocal, entangled wave function.

The deterministic evolution of the fields is governed by Maxwell’s equations with the familiar retarded solution for the fields acting on the charges and also when a [*local*]{} measurement is made of the particles and their properties. When a measurement is made of a particle $a$ entangled with another particle $b$ at a spacelike separation $\vert{\bf x}-{\bf y}\vert$ from $a$, then the measuring device detects the total field (\[total\]) and the instantaneous collapse of 