Strictly speaking, you don't get branching of the wavefunction every time a particle is measured, but only when it is in a superposition of states. So the second and third times (and on) that you measure it, you'll get the same result each time - until it interacts with another particle in a superposition and becomes entangled.Now THIS I would consider non-mainstream science. And it impacts theology:
Parallel Universes and the Many-Worlds Theory - Universe Today
We have a small number of respected physicists--and by "respected" I mean these are the same physicists who brought about the field of Quantum Mechanics in the first place, and had their peers experimentally verify their claims--theorize that every time you measure a quantum particle, you spawn a parallel universe. In other words if an unknown quantum particle is positive half the time and negative half the time, as soon as you measure it, you spawn off two universes: one where it is positive, the other where it is negative. Which naturally results in an extremely high number of parallel universes.
No, the opposite is true - a branch becomes a separate universe when it can no longer interfere with the others. This occurs when the alternate results of the interaction spread out into the environment, becoming irrevocably entangled with the wider world. This is known as 'decoherence' and is what leads to the causal separation of the branches.This parallel universe by definition has to interact with this one, since the measurement of the particle in this universe caused it. So that means, in theory, experimental physicists ought to be able to come up with an experiment which tests the theory.
The initial superposition of the particle is like the thin end of the wedge between worlds - when something interacts with the particle it joins the superposition, then whatever interacts with that also joins, until you have a cascade of superpositions - decoherence. At that point the different outcomes of the original interaction have become separate branches of the whole wavefunction that can no longer interact; these are the separate 'worlds'. It's really all one universe with a single wavefunction that is branched a vast number of times.
That would only be true if Heaven and Hell were in a 50:50 superposition, or you had an inevitable interaction with some other 50:50 quantum superposition that would somehow determine which way you'd go. It's almost as implausible as the idea of Heaven and Hell itself...This, if true, could seriously impact theology, since this could make us all human Schroedinger's Cats, where if we die we go to Heaven and Hell at the same time. Or in 50% of the parallel universes you go to Hell, and the other 50% you go to Heaven. But then again maybe we don't really understand what exactly a said "parallel universe" is.
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