Seminář se koná v úterý ve 13:10 v posluchárně ÚTF MFF UK
v 10. patře katedrové budovy v Tróji, V Holešovičkách 2, Praha 8
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Hermiticity is usually treated in an axiomatic way in quantum mechanics, ensuring key properties of observables in a Hilbert space. In this talk I will discuss how Hermiticity may be something deeper; a symmetry law associated with the conservation of the inner product current in space-time. We will see that this symmetry breaks in the presence of gravitational fields, causal horizons, or space-time curvature for a restricted observer. I will motivate the background for such a symmetry showing what cosmology and near-horizon black hole thermodynamics tell us about it, namely that to preserve global flatness of the universe one needs effective Hermiticity to hold true, but local Hermiticity needs to break near black hole horizons to ensure the second law of thermodynamics. I then discuss how all of this leads to the notion that Probability itself, like energy in general relativity, becomes Quasilocal in curved spacetimes. We then conclude by discussing the implications of all this on quantum field theory in curved spacetimes and quantum gravity in general.
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David Kubizňák Oldřich Semerák