Comprehensive solution to the cosmological constant, zero-point energy, and quantum gravity problems

DOI10.1007/s10714-010-1088-zzbMath1215.83064arXiv0909.0212OpenAlexW2143096115MaRDI QIDQ535020

Philip D. Mannheim

Publication date: 11 May 2011

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.0212

zbMATH Keywords

quantum gravityzero-point energycosmological constant problemconformal gravity

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Path integrals in quantum mechanics (81S40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Analogues of general relativity in lower dimensions (83C80)

Related Items (20)

Extension of the \(\operatorname C \operatorname P \operatorname T\) theorem to non-Hermitian Hamiltonians and unstable states ⋮ Statistical field theory of futures commodity prices ⋮ Structure of conformal gravity in the presence of a scale breaking scalar field ⋮ Test of conformal theory of gravity as an alternative paradigm to dark matter hypothesis from gravitational lensing studies ⋮ Making the case for conformal gravity ⋮ \(PT\) symmetry, conformal symmetry, and the metrication of electromagnetism ⋮ Absorption of planar waves in conformal gravity space-time ⋮ Gravitational waves in conformal gravity ⋮ Metric solutions in torsionless gauge for vacuum conformal gravity ⋮ Conformal gravity with electrodynamics for fermion fields and their symmetry breaking mechanism ⋮ Conformal standard model ⋮ Black hole evaporation in conformal (Weyl) gravity ⋮ Antilinearity rather than Hermiticity as a guiding principle for quantum theory ⋮ Spinor field solutions in F(B2) modified Weyl gravity ⋮ Conformal gravity: dark matter and dark energy ⋮ Astrophysical evidence for the non-Hermitian but PT -symmetric Hamiltonian of conformal gravity ⋮ A new equation for a scalar field from thermodynamics first law and its cosmological implications ⋮ Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: grey-body factors, area spectrum and shadow radius ⋮ INTRINSICALLY QUANTUM-MECHANICAL GRAVITY AND THE COSMOLOGICAL CONSTANT PROBLEM ⋮ ACTION WITH ACCELERATION I: EUCLIDEAN HAMILTONIAN AND PATH INTEGRAL

Cites Work

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• \(PT\) Symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
• Negative metric and the unitarity of the S-matrix
• Solution to the ghost problem in fourth order derivative theories
• A remarkable property of the Riemann-Christoffel tensor in four dimensions
• INTRINSICALLY QUANTUM-MECHANICAL GRAVITY AND THE COSMOLOGICAL CONSTANT PROBLEM
• Dirac quantization of the Pais-Uhlenbeck fourth order oscillator
• Finite Theory of Quantum Electrodynamics
• Completeness of non-normalizable modes
• Generalized PT symmetry and real spectra
• Path integral for second-derivative Lagrangian L=(κ/2)ẍ2+(m/2)ẋ2+(k/2)x2−j(τ)x(τ)
• On Field Theories with Non-Localized Action
• Some Special Examples in Renormalizable Field Theory

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