In this second paper, we develop the full mathematical structure of the algebra of the pseudo-observables, in order to solve the quantum measurement problem. Quantum state vectors are recovered but as auxiliary pseudo-observables storing the information acquired in a set of observations. The whole process of measurement is deeply reanalyzed in the conclusive section, evidencing original aspects. The relation of the theory with some popular interpretations of Quantum Mechanics is also discussed, showing that both Relational Quantum Mechanics and Quantum Bayesianism may be regarded as compatible interpretations of the theory. A final discussion on reality, tries to bring a new insight on it.In this second paper, we develop the full mathematical structure of the algebra of the pseudo-observables, in order to solve the quantum measurement problem. Quantum state vectors are recovered but as auxiliary pseudo-observables storing the information acquired in a set of observations. The whole process of measurement is deeply reanalyzed in the conclusive section, evidencing original aspects. The relation of the theory with some popular interpretations of Quantum Mechanics is also discussed, showing that both Relational Quantum Mechanics and Quantum Bayesianism may be regarded as compatible interpretations of the theory. A final discussion on reality, tries to bring a new insight on it.

arXiv:1708.01170Aug 3, 20171 citation

Observables in W*-Algebraic Quantum Mechanics

Anton Amann

De Gruyter eBooksDec 31, 19860 citations

Quantum Interpretation of the Impedance Model as Informed by Geometric Clifford Algebra

Michaele Suisse, P. Cameron

Quantum Interpretations seek to explain observables from formal theory. Impedances govern the flow of energy, are helpful in such attempts. An earlier note documented first efforts to resolve the interpretational ambiguities and contentions from the practical perspective of our model-based approach. In the interim, discovery of the deep connections between the impedance model and geometric Clifford algebra has shed new light on the measurement problem and its manifestations, which we revisit here.Quantum Interpretations seek to explain observables from formal theory. Impedances govern the flow of energy, are helpful in such attempts. An earlier note documented first efforts to resolve the interpretational ambiguities and contentions from the practical perspective of our model-based approach. In the interim, discovery of the deep connections between the impedance model and geometric Clifford algebra has shed new light on the measurement problem and its manifestations, which we revisit here.

Aug 1, 20160 citations

$C^*$ algebra and its extension as the set of observables$C^*$ algebra and its extension as the set of observables

Hideo Yamagata

Proceedings of the Japan Academy Series A Mathematical SciencesJan 1, 19641 citation

Geometric Clifford Algebra and Quantum Interpretation of the Proton's Anomalous Magnetic Moment (poster)

Michaele Suisse, P. Cameron

The role of the anomalous moment in the geometric algebra of proton topological mass generation suggests that the anomaly is not an intrinsic property of the free space proton, but rather a topological effect of applying the electromagnetic bias field required to define the eigenstates probed by the magnetic moment measurement. Quantum interpretations strive to explain emergence of the world we observe from formal quantum theory. This variant on the canonical measurement problem is examined in the larger context of quantum interpretations. A more detailed presentation of this content may be found here: https://www.youtube.com/watch?v=uyM4cZgSprIThe role of the anomalous moment in the geometric algebra of proton topological mass generation suggests that the anomaly is not an intrinsic property of the free space proton, but rather a topological effect of applying the electromagnetic bias field required to define the eigenstates probed by the magnetic moment measurement. Quantum interpretations strive to explain emergence of the world we observe from formal quantum theory. This variant on the canonical measurement problem is examined in the larger context of quantum interpretations. A more detailed presentation of this content may be found here: https://www.youtube.com/watch?v=uyM4cZgSprI

Sep 1, 20160 citations

C^*

algebra and its extension as the set of observables