arXiv subjects

Edoardo Piparo

Publications and source records attributed to Edoardo Piparo.

3 recordsLinked to original sources

arXiv2025

The Algebra of the Pseudo-Observables I: Why Quantum Mechanics is the ultimate description of Reality

This paper is the first of several parts introducing a new powerful algebra: the algebra of the pseudo-observables. This is a C*-algebra whose set is formed by formal expressions involving observables. The algebra is constructed by applying the Occam's razor principle, in order to obtain the minimal description of physical reality. Proceeding in such a manner, every aspect of quantum mechanics acquires a clear physical interpretation or a logical explanation, providing, for instance, in a natural way the reason for the structure of complex algebra and the matrix structure of the formulation of Werner Heisenberg of quantum mechanics. Last but not least, the very general hypotheses assumed, allow one to state that quantum mechanics is the unique minimal description of physical reality.

quant-ph↗

arXiv2025

The Algebra of the Pseudo-Observables II: The Measurement Problem

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.

quant-ph↗

arXiv2017

The Algebra of the Pseudo-Observables III: Transformations and Time Evolution

This paper is the third part concluding the introduction of the powerful algebra of the pseudo-observables. In this article will be dealt how to treat the time evolution, and, more in general, the transformations, in the framework of the new theory. It will be shown that this requires only minor changes with respect to the Dirac-Jordan transformation theory that can be found in almost any textbook, with some more care about the treatment of the continuous limit. A remarkable difference is also in the introduction of the time reversal, which gives the opportunity to a deeper insight about the Hermitian transposition. In the conclusions, we will examine better the relationship between time evolution and measurement, a very problematic aspect in the framework of the Copenhagen interpretation (and in many others ones). Finally we will present a list of compelling reasons for which the physics community would seriously have to evaluate a switching to the new formalism.

quant-ph↗