IMO, I have heard no explanation that is more consistent and coherent than this.
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Consider the famous Schroedinger's Cat.
The decayed particle has two states: decayed and not decayed.
The cat has two states: dead and alive.
The researcher that opens the box has two states: sad and happy.
The waveform does not collaprse. The particle, the cat, and the researcher each have a uncollapsed waveform; i.e. are in both states.
However, these waveforms are not independent; they are entangled. The decayed particle is coincident with the dead cat and the unhappy researcher. And the undecayed particle with the alive cat and the happy researcher.
All states "exist" simultaneously, but not independently. This bifurcation in the wave function magnitudes is a "split" in the universe: every future waveform interaction will be in the context of decayed particle/dead cat/unhappy researcher and undecayed particle/alive cat/happy researcher.
"Many worlds" sounds nonsensical, but it is really just a colloquial expression for waveform entanglement.
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Now this does present a philosophical question on how consciousness functions in light of the split waveforms.
I maintain that science -- quantum mechanics or otherwise -- has no explanation or even language to express "consciousness". It's like asking science an ethics question. And this inability applies to all science, not just quantum mechanics.