TY - JOUR
T1 - Quantum Reference Frame Transformations, Noncommutative Values of Observables, and Quantum Relativity
AU - Kong, Otto C.W.
N1 - Publisher Copyright:
© 2024 Institute of Physics Publishing. All rights reserved.
PY - 2024
Y1 - 2024
N2 - The subject of quantum reference frame transformations gets popular lately with some interesting new theoretical development partly for the reason that the physics involved is becoming experimentally accessible. The position of a position eigenstate when observed from an object with ‘uncertainty’ in position would be seen with ‘uncertainty’. In fact, even the existence of entanglement is reference frame-dependent. We present an improved formulation of such a transformation and give a novel way to describe exactly by ‘how much’ the ‘value of the position’ has changed which fully encodes all information about the changes, including the ‘uncertainty’ and entanglement. That is an application of the notion of noncommutative values of physical quantities we introduced to understand the reality of quantum physics and beyond. Some implications on fundamental physics will also be discussed. In particular, we suggest thinking about quantum gravity as a theory of general quantum relativity, alleviating Penrose’s notion of incompatibility of qauntum mechanics with the relativity principle.
AB - The subject of quantum reference frame transformations gets popular lately with some interesting new theoretical development partly for the reason that the physics involved is becoming experimentally accessible. The position of a position eigenstate when observed from an object with ‘uncertainty’ in position would be seen with ‘uncertainty’. In fact, even the existence of entanglement is reference frame-dependent. We present an improved formulation of such a transformation and give a novel way to describe exactly by ‘how much’ the ‘value of the position’ has changed which fully encodes all information about the changes, including the ‘uncertainty’ and entanglement. That is an application of the notion of noncommutative values of physical quantities we introduced to understand the reality of quantum physics and beyond. Some implications on fundamental physics will also be discussed. In particular, we suggest thinking about quantum gravity as a theory of general quantum relativity, alleviating Penrose’s notion of incompatibility of qauntum mechanics with the relativity principle.
UR - http://www.scopus.com/inward/record.url?scp=85213301418&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/2912/1/012004
DO - 10.1088/1742-6596/2912/1/012004
M3 - 會議論文
AN - SCOPUS:85213301418
SN - 1742-6588
VL - 2912
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012004
T2 - 28th International Conference on Integrable Systems and Quantum Symmetries, ISQS 2024
Y2 - 1 July 2024 through 5 July 2024
ER -