Klein-Gordan Eqn: Understanding Negative Probabilities

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I am having trouble understand why the klein-gordan eqn is accepted to describe spin 0 particles since it gives the wrong statistical interpretation (such as negative probablities).
 
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Instead of trying to answer, I'll add another question without insinuating anything.

captain said:
I am having trouble understand why the klein-gordan eqn is accepted to describe spin 0 particles since it gives the wrong statistical interpretation (such as negative probablities).

Why have we not observed any supposedly fundamental spin-0 particles in nature? :)

(higgs hasn't been observed)

/Fredrik
 
captain said:
I am having trouble understand why the klein-gordan eqn is accepted to describe spin 0 particles since it gives the wrong statistical interpretation (such as negative probablities).
The Klein-Gordan equation has to be second quantized to get to a QM wave function.
As a one particle equation, \psi^*\psi relates to the charge density.
 
I am not sure if this falls under classical physics or quantum physics or somewhere else (so feel free to put it in the right section), but is there any micro state of the universe one can think of which if evolved under the current laws of nature, inevitably results in outcomes such as a table levitating? That example is just a random one I decided to choose but I'm really asking about any event that would seem like a "miracle" to the ordinary person (i.e. any event that doesn't seem to...

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