[Alamo-Girl]

Occam's Razor leads us to conclude that all subatomic decays have a random, causeless element, somewhere.

I would like to take issue with the assertion of "causeless".

One of the forms of causality is "where it not for A, C would not be". In this case, were it not for space/time, subatomic decay would not be.

[js1138]

Let's see your evidence. Demonstrate that space/time cannot spontaneously come into existence.

[Physicist]

In this case, were it not for space/time, subatomic decay would not be.

I'll stipulate that existence exists. <g>

The issue here is whether decay events could be specifically predicted, given complete (or at least sufficient) knowledge of the initial state. (Proximate cause, if you will.) The reality is that, in order for such a thing to be mathematically possible, decays would necessarily behave in a manner contrary to what is experimentally observed. At least some decays cannot have proximate causes.