Constraining the Noncommutative Spectral Action via Astrophysical Observations

Abstract

The noncommutative spectral action extends our familiar notion of commutative spaces, using the data encoded in a spectral triple on an almost commutative space. Varying a rather simple action, one can derive all of the standard model of particle physics in this setting, in addition to a modified version of Einstein-Hilbert gravity. Thus, noncommutative geometry provides a geometric interpretation of particle physics coupled to curvature. In this letter we use observations of pulsar timings, assuming that no deviation from General Relativity has been observed, to constrain the gravitational sector of this theory. Thus, we directly constrain noncommutative geometry, a potential grand unified theory of physics, via astrophysical observations. Whilst the bounds on the coupling constants remain rather weak, they are comparable to existing bounds on deviations from General Relativity in other settings and are likely to be further constrained by future observations.

5 pages; slightly shorter version to match the one will appear in Phys. Rev. Lett

References in corpus (6)

• Tests of general relativity from timing the double pulsar
• Gravity and the standard model with neutrino mixing
• Measurement of Orbital Decay in the Double Neutron Star Binary PSR B2127+11C
• Gravitational-radiation losses from the pulsar-white-dwarf binary PSR J1141-6545
• Cosmology and the Noncommutative approach to the Standard Model
• Natural inflation mechanism in asymptotic noncommutative geometry

Cited by in corpus (43)

• Modified Gravity and Cosmology
• Gravitational Wave Tests of General Relativity with Ground-Based Detectors and Pulsar Timing Arrays
• Static Solutions for 4th order gravity
• Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
• Probing Models of Extended Gravity using Gravity Probe B and LARES experiments
• Constraints on Modified Gravity Models from White Dwarfs
• Quantum gravity and gravitational-wave astronomy
• Gravitational Waves in the Spectral Action of Noncommutative Geometry
• Particle Physics from Almost Commutative Spacetimes
• Astrophysical constraints on extended gravity models
• Constraints on NonCommutative Spectral Action from Gravity Probe B and Torsion Balance Experiments
• Inflation with a Weyl term, or ghosts at work
• Noncommutative spectral geometry, algebra doubling and the seeds of quantization
• Spectral dimensions from the spectral action
• Spectral action, Weyl anomaly and the Higgs-Dilaton potential
• Spectral action with zeta function regularization
• Spectral Regularisation: Induced Gravity and the Onset of Inflation
• Astrophysical Gravitational Waves in Conformal Gravity
• Boundary conditions of the RGE flow in the noncommutative geometry approach to particle physics and cosmology
• The coupling of topology and inflation in Noncommutative Cosmology
• Restricting Fourth Order Gravity via Cosmology
• Probing Noncommutative Gravity with Gravitational Wave and Binary Pulsar Observations
• Coupling of gravity to matter, spectral action and cosmic topology
• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Higgs-Dilaton Lagrangian from Spectral Regularization
• Generalized Non-Commutative Inflation
• Rationality of Spectral Action for Robertson-Walker Metrics
• Quantum Gravity and Cosmology: an intimate interplay
• Noncommutative spectral geometry, dissipation and the origin of quantization
• Gravitational radiation in dynamical noncommutative spaces
• Doubling of the Algebra and Neutrino Mixing within Noncommutative Spectral Geometry
• Noncommutative Spectral Geometry: A Short Review
• Asymptotic safety, hypergeometric functions, and the Higgs mass in spectral action models
• Modular forms in the spectral action of Bianchi IX gravitational instantons
• Fermionic spectral action and the origin of nonzero neutrino masses
• Precession shift in curvature based Extended Theories of Gravity and Quintessence fields
• Constraints on fourth order gravity from binary pulsar and gravitational waves
• A conceptual problem for non-commutative inflation and the new approach for non-relativistic inflationary equation of state
• Cosmological consequences of the noncommutative spectral geometry as an approach to unification
• Aspects of the Bosonic Spectral Action
• Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory
• Fractality in Cosmic Topology Models with Spectral Action Gravity
• Aspects of the Bosonic Spectral Action: Successes and Challenges