Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
Quantum mechanics and the covariance of physical laws in quantum reference frames
7 Pith papers cite this work. Polarity classification is still indexing.
7
Pith papers citing it
abstract
In physics, every observation is made with respect to a frame of reference. Although reference frames are usually not considered as degrees of freedom, in all practical situations it is a physical system which constitutes a reference frame. Can a quantum system be considered as a reference frame and, if so, which description would it give of the world? Here, we introduce a general method to quantise reference frame transformations, which generalises the usual reference frame transformation to a "superposition of coordinate transformations". We describe states, measurement, and dynamical evolution in different quantum reference frames, without appealing to an external, absolute reference frame, and find that entanglement and superposition are frame-dependent features. The transformation also leads to a generalisation of the notion of covariance of dynamical physical laws, to an extension of the weak equivalence principle, and to the possibility of defining the rest frame of a quantum system.
citation-role summary
background 3
citation-polarity summary
years
2026 7roles
background 3polarities
background 3representative citing papers
Extends quantum reference frames to quantum reference fields in linearized quantum gravity and derives unitary maps implementing relational gauge-invariant observables between quantum perspectives.
In a thermal graviton bath the light-cone support of a scalar commutator is Gaussian with variance Var(x^{2})=16 G_N T t^{3}/3 after vacuum subtraction.
A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spacelike κ-Poincaré dual Hopf algebra.
Color confinement arises from the lack of a global color QRF supporting isolated non-singlet relational observables, with consistency checks in lower-dimensional models.
SU_q(2) rotational symmetry turns spin probabilities into non-commuting operators, yielding an uncertainty principle that prevents sharp measurement of relative observer orientations.
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
citing papers explorer
-
Gauss law codes and vacuum codes from lattice gauge theories
Gauss law codes identify the full gauge-invariant sector as the code space while vacuum codes restrict to the matter vacuum, with the two shown to be unitarily equivalent for finite gauge groups.
-
Quantum Reference Fields Transformations in Linearized Quantum Gravity
Extends quantum reference frames to quantum reference fields in linearized quantum gravity and derives unitary maps implementing relational gauge-invariant observables between quantum perspectives.
-
Probabilistic Causality from Graviton Fluctuations
In a thermal graviton bath the light-cone support of a scalar commutator is Gaussian with variance Var(x^{2})=16 G_N T t^{3}/3 after vacuum subtraction.
-
Universal $T$-matrices for quantum Poincar\'e groups: contractions and quantum reference frames
A new quantum deformation of the centrally extended Poincaré algebra is introduced whose universal T-matrix contracts to the Galilei T-matrix for quantum reference frames and appears as a central extension of the spacelike κ-Poincaré dual Hopf algebra.
-
Understanding Color Confinement through Quantum Reference Frames and Relational Observables
Color confinement arises from the lack of a global color QRF supporting isolated non-singlet relational observables, with consistency checks in lower-dimensional models.
-
Indefinite probabilities in quantum spacetime: A deepening of unpredictability
SU_q(2) rotational symmetry turns spin probabilities into non-commuting operators, yielding an uncertainty principle that prevents sharp measurement of relative observer orientations.
-
Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.