Interpretation of quantum mechanics with indefinite norm
arXiv:1709.04925 · doi:10.3390/physics1010003
Abstract
The Born postulate can be reduced to its deterministic content that only applies to eigenvectors of observables: the standard probabilistic interpretation of generic states then follows from algebraic properties of repeated measurements and states. Extending this reasoning suggests an interpretation of quantum mechanics generalized with indefinite quantum norm.
18 pages, 3 figures. v2: added discussion about oscillations into sterile neutrinos with negative norm and MiniBoone anomaly; extra references. v3: final published version
References in corpus (15)
- Making Sense of Non-Hermitian Hamiltonians
- Avoiding Dark Energy with 1/R Modifications of Gravity
- Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
- Faster than Hermitian Quantum Mechanics
- Updated global analysis of neutrino oscillations in the presence of eV-scale sterile neutrinos
- No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
- Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart
- Agravity up to infinite energy
- Perturbative unitarity of Lee-Wick quantum field theory
- On the Quantisation of Complex Higher Derivative Theories and Avoiding the Ostrogradsky Ghost
- Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
- On the ghost-induced instability on de Sitter background
- Pais-Uhlenbeck Oscillator and Negative Energies
- The PT-symmetric brachistochrone problem, Lorentz boosts and non-unitary operator equivalence classes
- No-signaling principle and Bell inequality in PT-symmetric quantum mechanics
Cited by in corpus (21)
- Quadratic Gravity
- Metastability in Quadratic Gravity
- Quasi-Conformal Models and the Early Universe
- Dimensional Transmutation in Gravity and Cosmology
- Sliding Naturalness: Cosmological Selection of the Weak Scale
- Ultra-Planckian scattering from a QFT for gravity
- Is negative kinetic energy meta-stable?
- New infra-red enhancements in 4-derivative gravity
- A non-Perturbative and Background-Independent Formulation of Quadratic Gravity
- Horizonless ultracompact objects and dark matter in quadratic gravity
- Foundations of ghost stability
- Visions in Quantum Gravity
- Majorana quanta, string scattering, curved spacetimes and the Riemann Hypothesis
- Confining complex ghost degrees of freedom
- Making sense of ghosts
- Lectures in Quantum Gravity
- Cancelling the vacuum energy and Weyl anomaly in the standard model with dimension-zero scalar fields
- Strict renormalizability as a paradigm for fundamental physics
- Mass gap in non-perturbative quadratic gravity via Dyson-Schwinger
- Hyperspace fermions,Möbius transformations, Krein space, fermion doubling, dark matter
- Origins of parameters in adimensional models