UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.
The quantum structure of spacetime at the Planck scale and quantum fields
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We propose uncertainty relations for the different coordinates of spacetime events, motivated by Heisenberg's principle and by Einstein's theory of classical gravity. A model of Quantum Spacetime is then discussed where the commutation relations exactly implement our uncertainty relations. We outline the definition of free fields and interactions over QST and take the first steps to adapting the usual perturbation theory. The quantum nature of the underlying spacetime replaces a local interaction by a specific nonlocal effective interaction in the ordinary Minkowski space. A detailed study of interacting QFT and of the smoothing of ultraviolet divergences is deferred to a subsequent paper. In the classical limit where the Planck length goes to zero, our Quantum Spacetime reduces to the ordinary Minkowski space times a two component space whose components are homeomorphic to the tangent bundle TS^2 of the 2-sphere. The relations with Connes' theory of the standard model will be studied elsewhere.
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Backreactions from inhomogeneous modes on homogeneous geometry are significant and sensitive to Fock representation in this deparametrized second-order adiabatic calculation.
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.
Quantum matter sources an operator-valued Shapiro delay that promotes causal boundaries to noncommuting observables and allows superpositions of causal relations between spacetime points.
Holographic RG flow induces gravity by evolving boundary conditions from rigid Dirichlet to mixed Dirichlet-Neumann, generating an Einstein-Hilbert term and evading the Weinberg-Witten theorem.
Derives Lindblad master equation for spacetime-noise decoherence with Gamma proportional to E^{-4} and applies it to damped neutrino flavor oscillations.
Space adiabatic perturbation theory applied to homogeneous oscillator models shows that backreactions add correction terms to effective Hamiltonians neglected in the Born-Oppenheimer approximation.
In the classical basis the non-bijective momentum map induces branch-dependent κ-deformed back-to-back correlations for two-particle states obeying vanishing total momentum.
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.
citing papers explorer
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UV/IR mixing as an artifact of non-covariant quantisation
UV/IR mixing in noncommutative scalar field theories is shown to be an artifact of a non-covariant quantization choice rather than an intrinsic feature of noncommutativity.
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Quantum Cosmological Backreactions III: Deparametrised Quantum Cosmological Perturbation Theory
Backreactions from inhomogeneous modes on homogeneous geometry are significant and sensitive to Fock representation in this deparametrized second-order adiabatic calculation.
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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.
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Quantum Matter Makes Lightcones Quantum
Quantum matter sources an operator-valued Shapiro delay that promotes causal boundaries to noncommuting observables and allows superpositions of causal relations between spacetime points.
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GR from RG: Gravity Is Induced From Renormalization Group Flow In The Infrared
Holographic RG flow induces gravity by evolving boundary conditions from rigid Dirichlet to mixed Dirichlet-Neumann, generating an Einstein-Hilbert term and evading the Weinberg-Witten theorem.
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Decoherence from quantum spacetime noise: An open-systems framework with application to neutrino oscillations
Derives Lindblad master equation for spacetime-noise decoherence with Gamma proportional to E^{-4} and applies it to damped neutrino flavor oscillations.
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Quantum Cosmological Backreactions II: Purely Homogeneous Quantum Cosmology
Space adiabatic perturbation theory applied to homogeneous oscillator models shows that backreactions add correction terms to effective Hamiltonians neglected in the Born-Oppenheimer approximation.
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Kinematical correlations via $\kappa$-Poincar\'e coproducts
In the classical basis the non-bijective momentum map induces branch-dependent κ-deformed back-to-back correlations for two-particle states obeying vanishing total momentum.
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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
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The Science of the Einstein Telescope
The paper provides state-of-the-art predictions for the Einstein Telescope's impact on fundamental physics, cosmology, compact-object astrophysics, and multi-messenger astronomy across its proposed configurations.