Curvature-Restored Gauge Invariance and Ultraviolet Naturalness

Abstract

It is shown that, $(a{\Lambda }^2+b|H{|}^2)R$ in a spacetime of curvature $R$ is a natural ultraviolet $(UV)$ completion of $(a{\Lambda }^4+b{\Lambda }^2|H{|}^2)$ in the flat-spacetime Standard Model $(SM)$ with Higgs field $H$, $UV$ scale $\Lambda$ and loop factors $a$, $b$. This curvature completion rests on the fact that a $\Lambda$-mass gauge theory in flat spacetime turns, on the cut-view $R=4{\Lambda }^2$, into a massless gauge theory in curved spacetime. It provides a symmetry reason for curved spacetime, wherein gravity and matter are both low-energy effective phenomena. Gravity arises correctly if new physics exists with at least 63 more bosons than fermions, with no need to interact with the $SM$ and with dark matter as a natural harbinger. It can source various cosmological, astrophysical and collider phenomena depending on its spectrum and couplings to the $SM$.

3 pp

References in corpus (3)

• Higgs naturalness and the scalar boson proliferation instability problem
• Stress-Energy Connection and Cosmological Constant Problem
• A Mechanism of Ultraviolet Naturalness

Cited by in corpus (21)

• Black Hole Shadow in Symmergent Gravity
• Quasiperiodic oscillations, weak field lensing and shadow cast around black holes in Symmergent gravity
• Testing Symmergent gravity through the shadow image and weak field photon deflection by a rotating black hole using the M87${}^{\ast }$ and Sgr. A${}^{\ast }$ results
• Constraints on charged Symmergent black hole from shadow and lensing
• Quasinormal modes and greybody factors of symmergent black hole
• Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures
• Thermodynamics and logarithmic corrections of symmergent black holes
• Emergent Gravity as the Eraser of Anomalous Gauge Boson Masses, and QFT-GR Concord
• A quantum cosmology approach to cosmic coincidence and inflation
• Thin accretion disk images of the black hole in symmergent gravity
• Inducing Gravity From Connections and Scalar Fields
• Electroweak Stability and Discovery Luminosities for New Physics
• Matter-antimatter asymmetry induced by non-linear electrodynamics
• Quasinormal Modes and Greybody Factors of Charged Symmergent Black Hole
• Gauge and Poincare properties of the UV cutoff and UV completion in quantum field theory
• Naturalizing Gravity of the Quantum Fields, and the Hierarchy Problem
• Dimensional Regularization in Quantum Field Theory with Ultraviolet Cutoff
• Hidden Spin-3/2 Field in the Standard Model
• Scalar Dark Matter and Electroweak Stability
• Asymptotically-Flat Black Hole Solutions in Symmergent Gravity
• Naturally-Coupled Dark Sectors