FRACTIONAL DIRAC OPERATORS AND LEFT-RIGHT FRACTIONAL CHAMSEDDINE–CONNES SPECTRAL BOSONIC ACTION PRINCIPLE IN NONCOMMUTATIVE GEOMETRY
DOI10.1142/S0219887810003951zbMath1195.35296OpenAlexW1984456930MaRDI QIDQ5306180
Publication date: 8 April 2010
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887810003951
noncommutative geometryfractional derivatives and integralscomplexified gravitycomplexified vacuumspectral triples actiontime-dependent gravitytime-dependent Higgs mass
Fractional derivatives and integrals (26A33) PDEs in connection with quantum mechanics (35Q40) Methods of noncommutative geometry in general relativity (83C65) Noncommutative global analysis, noncommutative residues (58J42) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems
- Fractional Dirac operators and deformed field theory on Clifford algebra
- Gauge invariance in fractional field theories
- Relativistic wave equations with fractional derivatives and pseudodifferential operators
- Fractional dynamics and the standard model for particle physics
- On the nature of complex time, diffusion and the two-slit experiment
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The spectral action principle
- On the unification of the fundamental forces and complex time in the \(\mathcal E^{(\infty)}\) space.
- Fractional dynamics, Cantorian space-time and the gauge hierarchy problem
- Path integral quantisation of finite noncommutative geometries
- Fractal gravity and symmetry breaking in a hierachical Cantorian space
- Fractional dynamics and the TeV regime of field theory
- Stochastic quantization of nonlocal fields
- Complexity in quantum field theory and physics beyond the standard model
- COMPLEX GRAVITY AND NONCOMMUTATIVE GEOMETRY
- The fundamental constants and their variation: observational and theoretical status
- FRACTIONAL LAGRANGIAN FORMULATION OF GENERAL RELATIVITY AND EMERGENCE OF COMPLEX, SPINORIAL AND NONCOMMUTATIVE GRAVITY
- Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
- Simple Solutions of the Fractional Dirac Equation of Order 2/3
- Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)
- Fractional actionlike variational problems
- FRACTIONAL FIELD THEORIES FROM MULTI-DIMENSIONAL FRACTIONAL VARIATIONAL PROBLEMS
- Quantum field theory in (0 + 1) dimensions
- FRACTIONAL QUANTUM EULER–CAUCHY EQUATION IN THE SCHRÖDINGER PICTURE, COMPLEXIFIED HARMONIC OSCILLATORS AND EMERGENCE OF COMPLEXIFIED LAGRANGIAN AND HAMILTONIAN DYNAMICS
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