Astrophysical evidence for the non-Hermitian but PT -symmetric Hamiltonian of conformal gravity

DOI10.1002/PROP.201200100zbMath1338.81393arXiv1205.5717OpenAlexW1972832188MaRDI QIDQ2812922

Philip D. Mannheim

Publication date: 13 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5717

zbMATH Keywords

PT symmetryconformal gravitygalactic rotation curvesnon-diagonalizable Hamiltonians

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Relativistic cosmology (83F05) Gravitational interaction in quantum theory (81V17) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Galactic and stellar dynamics (85A05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (2)

Conformal bridge transformation, \( \mathcal{PT}\)- and supersymmetry ⋮ STABLE SELF-INTERACTING PAIS–UHLENBECK OSCILLATOR

Cites Work

• Making the case for conformal gravity
• Comprehensive solution to the cosmological constant, zero-point energy, and quantum gravity problems
• \(PT\) Symmetry and necessary and sufficient conditions for the reality of energy eigenvalues
• Solution to the ghost problem in fourth order derivative theories
• Dirac quantization of the Pais-Uhlenbeck fourth order oscillator
• Giving up the ghost
• On Field Theories with Non-Localized Action

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