On Negative Energies, Strings, Branes, and Braneworlds: A Review of Novel Approaches
arXiv:2012.04976 · doi:10.1142/S0217751X20300203
Abstract
On the way towards quantum gravity and the unification of interaction, several ideas have been rejected and avenues avoided because they were perceived as physically unviable. But in the literature there are works in which it was found the contrary, namely that those rejected topics make sense after all. Such topics, reviewed in this article, are negative energies occurring in higher derivative theories and ultrahyperbolic spaces, ordering ambiguity of operators in curved spaces, the vast landscape of possible compactifications of extra dimensions in string theory, and quantization of a 3-brane in braneworld scenarios.
arXiv comment25 pages, 8 figures
References in corpus (46)
- Cosmology and Brane Worlds: A Review
- Spacetime as a membrane in higher dimensions
- Hierarchy problem in the shell-Universe model
- Our World as an Expanding Shell
- Benign vs malicious ghosts in higher-derivative theories
- Physical States in Matter-Coupled Dilaton Gravity
- Ghost-free higher-derivative theory
- Stable Self-Interacting Pais-Uhlenbeck Oscillator
- Functional Schroedinger and BRST Quantization of (1+1)--Dimensional Gravity
- On the quantisation of gravity by embedding spacetime in a higher dimensional space
- A Hamiltonian Formulation of the Pais-Uhlenbeck Oscillator that Yields a Stable and Unitary Quantum System
- Is Quantum Spacetime Infinite Dimensional ?
- Supersymmetry vs ghosts
- An Alternative to Matter Localization in the "Brane World": An Early Proposal and its Later Improvements
- Pais-Uhlenbeck Oscillator and Negative Energies
- Spin Gauge Theory of Gravity in Clifford Space: A Realization of Kaluza-Klein Theory in 4-Dimensional Spacetime
- The String Uncertainty Relations follow from the New Relativity Principle
- Causality, delocalization and positivity of energy
- Clifford Space as the Arena for Physics
- Pais-Uhlenbeck Oscillator with a Benign Friction Force
- Quenched, Minisuperspace, Bosonic p-brane Propagator
- An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator
- Space Inversion of Spinors Revisited: A Possible Explanation of Chiral Behavior in Weak Interactions
- Remarks on quantization of Pais-Uhlenbeck oscillators
- Fuzzy dimensions and Planck's Uncertainty Principle for p-branes
- Higher Derivative Scalar Quantum Field Theory in Curved Spacetime
- The status and programs of the New Relativity Theory
- Pseudo Euclidean-Signature Harmonic Oscillator, Quantum Field Theory and Vanishing Cosmological Constant
- Clifford Space as a Generalization of Spacetime: Prospects for QFT of Point Particles and Strings
- Multi-Hamiltonian formulations and stability of higher-derivative extensions of Chern-Simons
- How the Geometric Calculus Resolves the Ordering Ambiguity of Quantum Theory in Curved Space
- An algebraic approach to laying a ghost to rest
- The odd-order Pais-Uhlenbeck oscillator
- On a Unified Theory of Generalized Branes Coupled to Gauge Fields, Including the Gravitational and Kalb-Ramond Fields
- Stable interactions between the extended Chern-Simons theory and a charged scalar field with higher derivatives: Hamiltonian formalism
- Resonance and stability of higher derivative theories of derived type
- Conservation Laws and Stability of Field Theories of Derived Type
- On the Stability of Coherent States for Pais-Uhlenbeck Oscillator
- On Computational Complexity of Clifford Algebra
- On the unitarity of higher-dervative and nonlocal theories
- A Brane World Model with Intersecting Branes
- A New Approach to the Classical and Quantum Dynamics of Branes
- Stable interactions between higher derivative extended Chern-Simons and charged scalar field
- Third order extensions of Chern-Simons interacting to gravity: Hamiltonian formalism and stability
- On Spinors of Zero Nullity
- On Spinors and Null Vectors