RELATIONAL QUADRILATERALLAND I: THE CLASSICAL THEORY
DOI10.1142/S021827181450014XzbMath1284.81316arXiv1202.4186OpenAlexW3099422338MaRDI QIDQ5408127
Publication date: 9 April 2014
Published in: International Journal of Modern Physics D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.4186
interdisciplinarityapplications of \(\mathbb {CP}^2\) geometry to theoretical physicsBarbour's relationalismKendall's shape geometrytheoretical molecular physics kinematicstoy models of quantum cosmology and canonical quantum gravity
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Gravitational interaction in quantum theory (81V17) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10)
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Cites Work
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- Shape space methods for quantum cosmological triangleland
- On the recovery of geometrodynamics from two different sets of first principles
- On \(SL(3, \mathbb R)\)-actions on 4-spheres
- The art of science: Interview with Professor John Archibald Wheeler
- Geometrodynamics regained
- \(\mathbb{C} P^2\) as a gravitational instanton
- Quantum-mechanical dualities from classical phase space
- Strong-coupled relativity without relativity
- A survey of the statistical theory of shape. With discussion and a reply by the author
- Qualitative features of intra-molecular dynamics. What can be learned from symmetry and topology?
- Infinitely many syzygies
- Quantum conformal superspace
- The spin-foam approach to quantum gravity
- The quotient space of \(CP(2)\) by complex conjugation is the 4-sphere
- Canonical Gravity and Applications
- On the semiclassical approach to quantum cosmology: relational particle model
- Mach’s principle and the structure of dynamical theories
- Generalized Angular Momentum in Many-Body Collisions
- Triangleland: I. Classical dynamics with exchange of relative angular momentum
- Triangleland: II. Quantum mechanics of pure shape
- TheN-dimensional Coulomb problem: Stark effect in hyperparabolic and hyperspherical coordinates
- An interpretation of variational principles for gauge theories: a cyclic coordinate alternative to ADM split
- Quantum Machian time in toy models of gravity
- Shape Manifolds, Procrustean Metrics, and Complex Projective Spaces
- Resolving the singularities in the space of Riemannian geometries
- Three-Dimensional Geometry as Carrier of Information about Time
- Scale-invariant gravity: particle dynamics
- Solution of the Schr dinger equation of the complex manifoldCPn
- Complete solution of the Schr dinger equation of the complex manifoldCP2
- The geometry of the Barbour-Bertotti theories: I. The reduction process
- The geometry of the Barbour-Bertotti theories: II. The three-body problem
- Relativity without relativity
- The physical gravitational degrees of freedom
- Quantum phases of a qutrit
- Bruhat Poisson structure on CPn and integrable systems
- Approaching the problem of time with a combined semiclassical-records-histories scheme
- Problem of time in quantum gravity
- Relational particle models: I. Reconciliation with standard classical and quantum theory
- Relational particle models: II. Use as toy models for quantum geometrodynamics
- Emergent semiclassical time in quantum gravity: I. Mechanical models
- Relational motivation for conformal operator ordering in quantum cosmology
- Quantum cosmological metroland model
- RECORDS THEORY
- Wave function of the Universe
- Quantum cosmological relational model of shape and scale in 1D
- Machian classical and semiclassical emergent time
- Classical dynamics on triangleland
- Foundations of relational particle dynamics
- Fitting hyperbolic pants to a three-body problem
- Foundations of Quantum Mechanics
- Quantum Theory of Gravity. I. The Canonical Theory
- Conformally invariant orthogonal decomposition of symmetric tensors on Riemannian manifolds and the initial-value problem of general relativity
- Forms of Relativistic Dynamics
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