# A Reconstruction of Quantum Mechanics

@article{Kochen2019ARO, title={A Reconstruction of Quantum Mechanics}, author={Simon Kochen}, journal={Foundations of Physics}, year={2019}, volume={45}, pages={557-590} }

We show that exactly the same intuitively plausible definitions of state, observable, symmetry, dynamics, and compound systems of the classical Boolean structure of intrinsic properties of systems lead, when applied to the structure of extrinsic, relational quantum properties, to the standard quantum formalism, including the Schrödinger equation and the von Neumann–Lüders Projection Rule. This approach is then applied to resolving the paradoxes and difficulties of the orthodox interpretation.

## 28 Citations

### The Relational Interpretation of Quantum Physics

- Physics
- 2021

The relational interpretation (or RQM, for Relational Quantum Mechanics) solves the measurement problem by considering an ontology of sparse relative events, or facts. Events are realized in…

### Truth Values of Quantum Phenomena

- Philosophy
- 2017

In the paper, the idea of describing not-yet-verified properties of quantum objects with logical many-valuedness is scrutinized and the following two foundational problems ofMany-valued quantum logic must be decided: the problem of choosing a proper system of many- valued logic and the issue of the emergence of bivalence from logicalMany- valuedness.

### What is Quantum Mechanics? A Minimal Formulation

- Physics
- 2017

This paper presents a minimal formulation of nonrelativistic quantum mechanics, by which is meant a formulation which describes the theory in a succinct, self-contained, clear, unambiguous and of…

### All-Possible-Worlds: Unifying Many-Worlds and Copenhagen, in the Light of Quantum Contextuality

- Physics
- 2017

"All-Possible-Worlds" is a novel interpretation of quantum physics, which results from a unified reformulation of Many-Worlds and Copenhagen ("collapse") in the light of quantum contextuality, and…

### One world is (probably) just as good as many

- PhilosophySynthese
- 2022

One of our most sophisticated accounts of objective chance in quantum mechanics involves the Deutsch-Wallace theorem, which uses state-space symmetries to justify agents’ use of the Born rule when…

### Fe b 20 16 Quantum theory from questions

- Mathematics
- 2016

We reconstruct the explicit formalism of qubit quantum theory from elementary rules on an observers information acquisition. Our approach is purely operational: we consider an observer O…

### Defining what is Quantum: Not all what matters for physical phenomena is contained in space-time

- Philosophy, Physics
- 2019

It is argued that the three main quantum interpretations, Copenhagen, de Broglie-Bohm, and Many-Worlds, support the Principle Q (Quantum): Not all what matters for physical phenomena is contained in…

### The Relativity Principle at the Foundation of Quantum Mechanics

- Physics
- 2021

Quantum information theorists have created axiomatic reconstructions of quantum mechanics (QM) that are very successful at identifying precisely what distinguishes quantum probability theory from…

### The Relational Interpretation

- Physics
- 2021

The relational interpretation (or RQM, for Relational Quantum Mechanics) solves the measurement problem by considering an ontology of sparse relative facts. Facts are realized in interactions between…

### No Preferred Reference Frame at the Foundation of Quantum Mechanics

- PhysicsEntropy
- 2022

Quantum information theorists have created axiomatic reconstructions of quantum mechanics (QM) that are very successful at identifying precisely what distinguishes quantum probability theory from…

## References

SHOWING 1-10 OF 27 REFERENCES

### The Geometry of the Quantum Paradoxes

- Philosophy
- 2002

At the suggestion of the organizers of this conference, I shall start by discussing the genesis of the result known as the Kochen-Specker Paradox or K-S Theorem and its relation to Bell’s Theorem. In…

### On the Foundations of Quantum Physics

- Physics
- 1976

The interpretation of quantum theory has always been a source of difficulties, especially with regard to the theory of measurement. We do not intend to enter here into the details of the polemic…

### Logic of Quantum Mechanics

- Philosophy
- 1976

“When we go far in the direction of the very small, quantum theory says that our forms of thought fail, so that it is questionable whether we can properly think at all”. These words of Bridgman…

### The Problem of Hidden Variables in Quantum Mechanics

- Physics
- 1967

Forty years after the advent of quantum mechanics the problem of hidden variables, that is, the possibility of imbedding quantum theory into a classical theory, remains a controversial and obscure…

### What is geometry in quantum theory

- Physics
- 2004

In this scientific preface to the first issue of International Journal of Geometric Methods in Modern Physics, we briefly survey some peculiarities of geometric techniques in quantum models.

### REPRESENTATION OF SYMMETRY TRANSFORMATIONS IN QUANTUM MECHANICS

- Physics
- 1963

A generalization of Wigner's representation theorem is presented that may be applied when superselection rules (of a specified character) must be taken into account. At the same time some gaps in…

### Space-Time Approach to Non-Relativistic Quantum Mechanics

- Physics
- 1948

Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which…

### Experimental realization of any discrete unitary operator.

- PhysicsPhysical review letters
- 1994

An algorithmic proof that any discrete finite-dimensional unitary operator can be constructed in the laboratory using optical devices is given, and optical experiments with any type of radiation exploring higher-dimensional discrete quantum systems become feasible.

### Quantum Mechanics: Foundations and Applications

- Physics, Chemistry
- 1993

I Mathematical Preliminaries.- I.1 The Mathematical Language of Quantum Mechanics.- I.2 Linear Spaces, Scalar Product.- I.3 Linear Operators.- I.4 Basis Systems and Eigenvector Decomposition.- I.5…

### The Calculus of Partial Propositional Functions

- Philosophy
- 1990

The calculus of partial propositional functions has been introduced in [2]. It is a variant of the classical propositional calculus, a variant which takes into account that pairs of propositions may…