Randomness in Relational Quantum Mechanics (revised)

2021 ◽  
Author(s):  
Gary Gordon
Keyword(s):  
Quantum Mechanics ◽  
Relational Quantum Mechanics

scholarly journals The Bundle Theory Approach to Relational Quantum Mechanics

2021 ◽  
Vol 51 (1) ◽  
Author(s):  
Andrea Oldofredi
Keyword(s):  
Quantum Mechanics ◽  
David Hume ◽  
Structural Realism ◽  
Bundle Theory ◽  
Theory Approach ◽  
Relational Quantum Mechanics ◽  
Essential Idea ◽  
Mereological Fusion ◽  
Metaphysical Interpretation ◽  
Aristotelian Tradition

AbstractThe present essay provides a new metaphysical interpretation of Relational Quantum Mechanics (RQM) in terms of mereological bundle theory. The essential idea is to claim that a physical system in RQM can be defined as a mereological fusion of properties whose values may vary for different observers. Abandoning the Aristotelian tradition centered on the notion of substance, I claim that RQM embraces an ontology of properties that finds its roots in the heritage of David Hume. To this regard, defining what kind of concrete physical objects populate the world according to RQM, I argue that this theoretical framework can be made compatible with (i) a property-oriented ontology, in which the notion of object can be easily defined, and (ii) moderate structural realism, a philosophical position where relations and relata are both fundamental. Finally, I conclude that under this reading relational quantum mechanics should be included among the full-fledged realist interpretations of quantum theory.

scholarly journals The Notion of Locality in Relational Quantum Mechanics

2019 ◽  
Vol 49 (2) ◽  
pp. 96-106 ◽  
Author(s):  
P. Martin-Dussaud ◽  
C. Rovelli ◽  
F. Zalamea
Keyword(s):  
Quantum Mechanics ◽  
Relational Quantum Mechanics

scholarly journals Path Integral Implementation of Relational Quantum Mechanics

2021 ◽  
Author(s):  
Jianhao M. Yang
Keyword(s):  
Quantum Mechanics ◽  
Quantum System ◽  
Path Integral ◽  
Measurement Theory ◽  
Entanglement Entropy ◽  
Quantum Probability ◽  
Probability Amplitude ◽  
Path Integral Representation ◽  
Relational Quantum Mechanics ◽  
Influence Functional

Abstract Relational formulation of quantum mechanics is based on the idea that relational properties among quantum systems, instead of the independent properties of a quantum system, are the most fundamental elements to construct quantum mechanics. In the recent works (J. M. Yang, Sci. Rep. 8:13305, 2018), basic relational quantum mechanics framework is formulated to derive quantum probability, Born's Rule, Schr\"{o}dinger Equations, and measurement theory. This paper gives a concrete implementation of the relational probability amplitude by extending the path integral formulation. The implementation not only clarifies the physical meaning of the relational probability amplitude, but also gives several important applications. For instance, the double slit experiment can be elegantly explained. A path integral representation of the reduced density matrix of the observed system can be derived. Such representation is shown valuable to describe the interaction history of the measured system and a series of measuring systems. More interestingly, it allows us to develop a method to calculate entanglement entropy based on path integral and influence functional. Criteria of entanglement is proposed based on the properties of influence functional, which may be used to determine entanglement due to interaction between a quantum system and a classical field.

Sign in / Sign up

Export Citation Format

Share Document