Scale relativity and fractal space-time: theory and applications
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Publication:707713
DOI10.1007/s10699-010-9170-2zbMath1201.83056arXiv0812.3857OpenAlexW3102541599WikidataQ56687919 ScholiaQ56687919MaRDI QIDQ707713
Publication date: 8 October 2010
Published in: Foundations of Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.3857
Relativistic cosmology (83F05) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Strong interaction, including quantum chromodynamics (81V05) Geometry and quantization, symplectic methods (81S10) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)
Related Items (8)
Differentiable-path integrals in quantum mechanics ⋮ Local generalizations of the derivatives on the real line ⋮ Dimensional flow and fuzziness in quantum gravity: emergence of stochastic spacetime ⋮ Multifractional theories: an unconventional review ⋮ CHAOS VIA FRACTALITY IN GRAVITATIONAL SYSTEMS DYNAMICS: A NEW APPROACH (I) ⋮ Geometry and field theory in multi-fractional spacetime ⋮ DYNAMICS IN FRACTAL SPACES ⋮ Physics in space-time with scale-dependent metrics
Cites Work
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- The Minkowski's space-time is consistent with differential geometry of fractional order
- Scale relativity and fractal space-time: applications to quantum physics, cosmology and chaotic systems.
- Origin of complex and quaternionic wavefunctions in quantum mechanics: the scale-relativistic view
- Multi-dimensional Cantor sets in classical and quantum mechanics
- The Schrödinger and Dirac free particle equations without quantum mechanics
- Scale-relativistic cosmology.
- Gravitational structure formation in scale relativity.
- Noncommutative geometry and matrix theory: Compactification on tori
- The scale-relativity program
- Scale relativity theory for one-dimensional non-differentiable manifolds
- Fractional differential equations and the Schrödinger equation
- Scale relativity and quantization of planet obliquities
- Scale relativity and quantization of the planetary system around the pulsar \(\text{PSR\quad B1257+12}\)
- Scale relativity and gauge invariance
- Quantum derivatives and the Schrödinger equation
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Fractionalization of the complex-valued Brownian motion of order \(n\) using Riemann-Liouville derivative. Applications to mathematical finance and stochastic mechanics
- SCHRÖDINGER EQUATION FOR QUANTUM FRACTAL SPACE–TIME OF ORDER n VIA THE COMPLEX-VALUED FRACTIONAL BROWNIAN MOTION
- The Pauli equation in scale relativity
- Non-Abelian gauge field theory in scale relativity
- Fractional embedding of differential operators and Lagrangian systems
- String Theory
- Numerical simulation of a quantum particle in a box
- Quadratic relativistic invariant and metric form in quantum mechanics
- Quantum fractals in boxes
- Quantum–classical transition in scale relativity
- Time reversal in stochastic processes and the Dirac equation
- THE THEORY OF SCALE RELATIVITY
- Incompleteness of trajectory-based interpretations of quantum mechanics
- DOUBLY-SPECIAL RELATIVITY: FIRST RESULTS AND KEY OPEN PROBLEMS
- Scale calculus and the Schrödinger equation
- Multiscale computational modelling of the heart
- Derivation of the postulates of quantum mechanics from the first principles of scale relativity
- Finite-time singularity in the dynamics of the world population, economic and financial indices
- Testable scenario for relativity with minimum length
- Scale relativity in Cantorian \({\mathcal E}^{(\infty)}\) space-time
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