Quantum frames of reference and the noncommutative values of observables

Kong, Otto C. W.

doi:10.1016/j.rinp.2021.105033

Cited by 10 publications

(8 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…i.e. the real value of f β and all the complex values of V βn , one for each basis vector |n , all evaluated at the state [5,10]. We have…”

Section: Uesmentioning

confidence: 99%

“…where V γ n = ∂ nf γ = V γn is just the complex conjugate of V γn [5,10]. The V βn has only the ambiguity of an overall phase factor, from the coordinate expressions of the state.…”

Section: Uesmentioning

confidence: 99%

“…We have also written down an expression for noncommutative value with the state given as a Schrödinger wavefunction explicitly. As the value of a wavefunction φ(x i ) at a point of fixed values for the three x i is really a coordinate for the phase space, like a z n , one has in the case the sequence of V βn simply replaced by the functional derivative δ φ f β [10].…”

Section: Uesmentioning

confidence: 99%

See 2 more Smart Citations

On Locality of Quantum Information in the Heisenberg Picture for Arbitrary States

Kong

2022

SSRN Journal

View full text Add to dashboard Cite

“…i.e. the real value of f β and all the complex values of V βn , one for each basis vector |n , all evaluated at the state [5,10]. We have…”

Section: Uesmentioning

confidence: 99%

“…where V γ n = ∂ nf γ = V γn is just the complex conjugate of V γn [5,10]. The V βn has only the ambiguity of an overall phase factor, from the coordinate expressions of the state.…”

Section: Uesmentioning

confidence: 99%

Section: Uesmentioning

confidence: 99%

See 1 more Smart Citation

On Locality of Quantum Information in the Heisenberg Picture for Arbitrary States

Kong

2022

SSRN Journal

View full text Add to dashboard Cite

“…To truly look at a system of quantum particles, however, quantum particles observed from a physical frame of reference, the quantum nature of it which cannot be neglected, more studies, probably along the lines of Refs. [14] and [16], would be needed.…”

Section: Further Concluding Remarksmentioning

confidence: 99%

Quantum Origin of (Newtonian) Mass and Galilean Relativity Symmetry

Kong¹

2022

Preprint

View full text Add to dashboard Cite

The Galilei group has been taken as the fundamental symmetry for 'nonrelativistic' physics, quantum or classical. Our fully group theoretical formulation approach to the quantum theory asks for some adjustments. We present a sketch of the full picture here, emphasizing aspects that are different from the more familiar picture. The analysis involves a more careful treatment of the relation between the exact mathematics and its physical application in the dynamical theories, and a more serious full implementation of the mathematical logic than what is usually available in the physics literature. The article summarizes our earlier presented formulation while focusing on the part beyond, with an adjusted, or corrected, identification of the basic representations having the (Newtonian) mass as a Casimir invariant and the notion of center of mass as dictated by the symmetry. Another result is the necessary exclusion of the time translational symmetry, that otherwise bans interactions between particles.

show abstract

“…While the article focuses on the philosophical presentation of the notion of quantum reality as offered by a new theoretical perspective on the theory of quantum mechanics taking the noncommutativity more seriously than ever as the core feature and properties of Nature it depicts, the physics and mathematics of the key new conceptual notion of the noncommutative values of physical quantities has been studied inKong (2020Kong ( , 2021,Kong & Liu (2021a) in the meantime.…”

mentioning

confidence: 99%

Towards Noncommutative Quantum Reality

Kong¹

2022

Preprint

View full text Add to dashboard Cite

The implications of the physical theory of quantum mechanics on the question of realism is much a subject of sustaining interest, while the background questions among physicists on how to think about all the theoretical notion and 'interpretation' of the theory remains controversial. Through a careful analysis of the theoretical notions with the help of modern mathematical perspectives, we give here a picture of quantum mechanics, as the basic theory for 'nonrelativistic' particle dynamics, that can be seen as being as much about the physical reality as classical mechanics itself. The key is to fully embrace the noncommutativity of the theory and see it as a notion about the reality of physical quantities. Quantum reality is then just a noncommutative version of the classical reality.

show abstract

Quantum frames of reference and the noncommutative values of observables

Cited by 10 publications

References 22 publications

On Locality of Quantum Information in the Heisenberg Picture for Arbitrary States

On Locality of Quantum Information in the Heisenberg Picture for Arbitrary States

Quantum Origin of (Newtonian) Mass and Galilean Relativity Symmetry

Towards Noncommutative Quantum Reality

Contact Info

Product

Resources

About