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If there was a universe with the same laws as this one, but there were only bosons in it, would QM 'do anything'?

Would there be any QM effects - such as an energy level (but that would require fermions..).

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Yes. For instance, the wave-particle duality is valid for bosons as well. –  Hunter Apr 5 at 19:57

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The existence of "bosons" is already a consequence of QM -- the notion of indistinguishable particles and the resulting Bose-Einstein (as opposed to Maxwell-Boltzmann) statistics is manifestly not a classical phenomena. Classical particles are always distinguishable, since "that particle there" has a complete set of observables that classically commute with each other and with those describing "this particle here".

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How would these stats show themselves (be detectable)? –  Tom Andersen Apr 5 at 20:20
    
The same way we always detect them: Bose condensation, HBT interferometry*, etc... Of course, as a matter of principle, we and all of our instruments are made of fermions, so we wouldn't be there in the all-boson universe to do the measurements, but QM would be there. –  wsc Apr 6 at 17:26
    
*HBT interferometry: en.wikipedia.org/wiki/Hanbury_Brown_and_Twiss_effect –  wsc Apr 6 at 17:26

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