Research ArticlePHYSICS

Experimental test of local observer independence

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Science Advances  20 Sep 2019:
Vol. 5, no. 9, eaaw9832
DOI: 10.1126/sciadv.aaw9832

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  • RE:THE ROLE OF TIME IN RELATIONAL QUANTUM MECHANICS

    Quantum mechanics has been interpreted by influential scientists as a theory assessing observer-dependent relational properties/reference frames (Smerlak and Rovelli 2007; Yang 2018). Relational formulations of quantum mechanics have been experimentally supported by recent papers that contradict the tenet of local realism: "the properties of the physical world are independent from the observer" (The BIG Bell Test Collaboration 2018; Proietti 2019).

    Here a philosophical concept from our medioeval past comes into play. In the question 19 of the second quodlibet (ed. Ockham 1991), William of Ockham asks whether the propositon "hoc est corpus meum" ("this is my body") is literally true as uttered by the priest at mass. According to Ockham, to every spoken proposition corresponds some mental proposition. When the priest utters the first words: "hoc est...", the body of Christ does not exist yet in the Eucharist, because the words "hoc est" are not themselves determinate enough to fix the meaning intended by the speaker. Indeed, the priest's utterance in the middle of the phrase is true as mental proposition, but it is not yet true as spoken proposition, because the words "corpus meum" have not yet been pronounced.
    A mental proposition is true at the beginning and at the end, because it exists as a whole all at once. This means that a mental proposition can be termed "ens permanens" (a perman...

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    Competing Interests: None declared.
  • RE: quantum wave function algebra

    Topological spaces as geometric manifolds have algebraic structures which can be manipulated by the observers and measurement devices or processes.The classical phase space has Hamiltonian vector fields as flows of differentials of the Hamiltonian.The wave forms as complex subspaces can intersect with convergence to indicate the observable as a measured single value,upon observation,in a transition to classicality from quantum space.
    The exterior algebra involving wedge product can induce cup product of the cohomology group associated with the symplectic form geometry of classical mechanics.The cup product is dual to subspace intersection,in a mathematical sense,and assigns richer algebraic variants to geometry of manifolds of topological spaces.Measurement as a case of subspace intersections can involve exterior algebra that distinguish between cohomology groups associated with vector spaces. This implies that observer based variations in quantum reality,as measured,becomes topolgically possible

    Competing Interests: None declared.

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