Emergence of fractal cosmic space from fractional quantum gravity
arXiv:2309.12478 · doi:10.1140/epjp/s13360-023-04506-z
Abstract
Based on Padmanabhan's theory, the spatial expansion of the Universe can be explained by the emergence of space as cosmic time progresses. To further explore this idea, we have developed fractional-fractal Friedmann and Raychaudhuri equations for an isotropic and homogeneous universe. Our analysis has also delved into how Padmanabhan's concept fits into the framework of fractional quantum gravity. Our research shows that a fractal horizon model strongly supports the validity of the emerging Universe paradigm and its connection to horizon thermodynamics. This study indicates early how the emergent gravity perspective might manifest in quantum gravity. By utilizing the fractional-fractal Friedmann and Raychaudhuri equations, we have established that the mainstream cosmology model can be justified without a dark matter component. As a result, the standard CDM model has been reduced to -Cold Baryonic Matter, which has significant implications for our understanding of the Universe.
arXiv comment20 pages, 1 figure, to appear in Eur. Phys. J. Plus
References in corpus (69)
- Thermodynamics of Spacetime: The Einstein Equation of State
- Fractional Schrodinger equation
- Relativistic gravitation theory for the MOND paradigm
- Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
- Towards singularity and ghost free theories of gravity
- Modified Newtonian Dynamics as an Alternative to Dark Matter
- Black hole thermodynamical entropy
- Super-renormalizable Quantum Gravity
- The Area of a Rough Black Hole
- Spectroscopy of the quantum black hole
- Fractal universe and quantum gravity
- d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
- Modified Friedmann Equations from Tsallis Entropy
- Quantum field theory, gravity and cosmology in a fractal universe
- Nonlocal action for long-distance modifications of gravity theory
- Cosmological model from the holographic equipartition law with a modified Rényi entropy
- Area spectrum of the Schwarzschild black hole
- Testing the black-hole area law with GW150914
- Implications, consequences and interpretations of generalized entropy in the cosmological setups
- Barrow Entropy Corrections to Friedmann Equations
- Quantum Black Hole in the Generalized Uncertainty Principle Framework
- Prospecting Black Hole Thermodynamics with Fractional Quantum Mechanics
- Multifractional theories: an unconventional review
- Multi-scale gravity and cosmology
- Geometrical observational bounds on a fractal horizon holographic dark energy
- Cosmological Models with Fractional Derivatives and Fractional Action Functional
- Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
- Cosmology under the fractional calculus approach
- MOND-like Fractional Laplacian Theory
- Quantum gravity and gravitational-wave astronomy
- Emergence and Expansion of Cosmic Space as due to the Quest for Holographic Equipartition
- Emergent cosmic space in Rastall theory
- de Sitter Fractional Quantum Cosmology
- Gravity in the infrared and effective nonlocal models
- Fractional Action Cosmology: Emergent, Logamediate, Intermediate, Power law Scenarios of the Universe and Generalized Second Law of Thermodynamics
- On black hole spectroscopy via adiabatic invariance
- Quantum Mechanics, Common Sense and the Black Hole Information Paradox
- Stochastic gravitational-wave background in quantum gravity
- From Fractional Quantum Mechanics to Quantum Cosmology: An Overture
- Fractional Action Cosmology with Power Law Weight Function
- Reply to Comment on ``Spinning Cosmic Strings and Quantization of Energy''
- Testing Fractional Action Cosmology
- Fractional Action Cosmology: Some Dark Energy Models in Emergent, Logamediate and Intermediate Scenarios of the Universe
- Emergence of Cosmic Space and Minimal Length in Quantum Gravity
- Multifractional theories: an updated review
- Cosmic microwave background and inflation in multi-fractional spacetimes
- Fractional Einstein-Hilbert Action Cosmology
- On the Kuzmin model in fractional Newtonian gravity
- Broadening quantum cosmology with a fractional whirl
- Are There Topological Black Hole Solitons in String Theory?
- Inflation and fractional quantum cosmology
- Complex dimensions and their observability
- Fractional-order derivatives in cosmological models of accelerated expansion
- Quantum scalar field theories with fractional operators
- Exact solutions and cosmological constraints in fractional cosmology
- Dark energy in multi-fractional spacetimes
- Fractional dark energy
- Cosmic Evolution in Fractional Action Cosmology
- Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe
- Emergence of spaces and the dynamic equations of FRW universes in the theory and deformed Hořava-Lifshitz theory
- Newtonian Fractional-Dimension Gravity and Rotationally Supported Galaxies
- Newtonian Fractional-Dimension Gravity and MOND
- Quantum fractionary cosmology: K-essence theory
- Newtonian Fractional-Dimension Gravity and Disk Galaxies
- Quantum Cosmology of Fab Four John Theory with Conformable Fractional Derivative
- Gravitational potential and galaxy rotation curves in multi-fractional spacetimes
- Fractional Derivative Regularization in QFT
- The laws of thermodynamics and information for emergent cosmology
- Cosmology under the fractional calculus approach: a possible tension resolution?
Cited by in corpus (10)
- Estimated Age of the Universe in Fractional Cosmology
- Fractional Holographic Dark Energy
- Fractional Schwarzschild-Tangherlini black hole with a fractal event horizon
- Fractional quantum mechanics meets quantum gravity phenomenology
- Generalized Ghost Pilgrim Dark Energy Fractal Cosmology with Observational Constraint
- Fractional entropy of the Brown-Kuchař dust in fractional anti-de Sitter quantum gravity
- Inflation and Primordial Perturbations in Fractal Cosmology
- Constraining fractionality using some observational tests
- Hawking area law in quantum gravity
- Cosmology of fractional gravity