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SUMMARY:Gr.IV seminar: Domenico Frattulillo - "Doubly Quantum Mechanics"
DTSTART:20260408T140000Z
DTEND:20260408T150000Z
DTSTAMP:20260506T191100Z
UID:indico-event-50616@agenda.infn.it
DESCRIPTION:Motivated by the expectation that relativistic symmetries migh
 t acquire quantum features in Quantum Gravity\, we take the first steps to
 wards a theory of “Doubly” Quantum Mechanics\, a modification of Quant
 um Mechanics in which the geometrical configurations of physical systems\,
  measurement apparata\, and reference frame transformations are themselves
  quantized and described by “geometry” states in a Hilbert space. We d
 evelop the formalism for spin-1/2 measurements by promoting the group of s
 patial rotations SU(2) to the quantum group SUq(2) and generalizing the ax
 ioms of Quantum Theory in a covariant way. As a consequence of our axioms\
 , the notion of probability becomes a self-adjoint operator acting on the 
 Hilbert space of geometry states\, hence acquiring novel non-classical fea
 tures. After introducing a suitable class of semi-classical geometry state
 s\, which describe near-to-classical geometrical configurations of physica
 l systems\, we find that probability measurements are affected\, in these 
 configurations\, by intrinsic uncertainties stemming from the quantum prop
 erties of SUq(2). This feature translates into an unavoidable fuzziness fo
 r observers attempting to align their reference frames by exchanging qubit
 s\, even when the number of exchanged qubits approaches infinity\, contrar
 y to the standard SU(2) case.\n\nhttps://agenda.infn.it/event/50616/
LOCATION:0M04
URL:https://agenda.infn.it/event/50616/
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