Entropy and Gravitation: From Black Hole Computers to Dark Energy and Dark Matter
arXiv:1910.00040 · doi:10.3390/e21111035
Abstract
We show that the concept of entropy and the dynamics of gravitation provide the linchpin in a unified scheme to understand the physics of black hole computers, space-time foam, dark energy, dark matter and the phenomenon of turbulence. We use three different methods to estimate the foaminess of space-time, which, in turn, provides a back-door way to derive the Bekenstein-Hawking formula for black hole entropy and the holographic principle. Generalizing the discussion for a static space-time region to the cosmos, we find a component of dark energy (resembling an effective positive cosmological constant of the correct magnitude) in the current epoch of the universe. The conjunction of entropy and gravitation is shown to give rise to a phenomenological model of dark matter, revealing the natural emergence, in galactic and cluster dynamics, of a critical acceleration parameter related to the cosmological constant; the resulting mass profiles are consistent with observations. Unlike ordinary matter, the quanta of the dark sector are shown to obey infinite statistics. This property of dark matter may lead to some non-particle phenomenology, and may explain why dark matter particles have not been detected in dark matter search experiments. We also show that there are deep similarities between the problem of "quantum gravity" (more specifically, the holographic space-time foam) and turbulence.
arXiv comment23 pages; LaTeX; invited review paper; typos corrected; references added
References in corpus (47)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- The World as a Hologram
- Thermodynamics of Spacetime: The Einstein Equation of State
- On the Origin of Gravity and the Laws of Newton
- Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
- Cool horizons for entangled black holes
- Dark Matter Self-interactions and Small Scale Structure
- The maximum speed of dynamical evolution
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- The Radial Acceleration Relation in Rotationally Supported Galaxies
- Weaving a classical geometry with quantum threads
- An interferometric gravitational wave detector as a quantum-gravity apparatus
- Accelerated Detectors and Temperature in (Anti) de Sitter Spaces
- Holography, Cosmology and the Second Law of Thermodynamics
- Resolving the virial discrepancy in clusters of galaxies with modified Newtonian dynamics
- Limits on the Measurability of Space-time Distances in (the Semi-classical Approximation of) Quantum Gravity
- Black Hole Statistics
- Selected topics in Planck-scale physics
- Space-time in light of Karolyhazy uncertainty relation
- Gravitational polarization and the phenomenology of MOND
- An Uncertainty Relation of Space-Time
- Holographic Foam, Dark Energy and Infinite Statistics
- Emergent Gravity Paradigm: Recent Progress
- Thermodynamical interpretation of the geometrical variables associated with null surfaces
- Cold Dark Matter with MOND Scaling
- Probing spacetime foam with extragalactic sources
- Measuring the foaminess of space-time with gravity-wave interferometers
- From computation to black holes and space-time foam
- The phase coherence of light from extragalactic sources - direct evidence against first order Planck scale fluctuations in time and space
- Rings and shells of "dark matter" as MOND artifacts
- A New Solution of The Cosmological Constant Problems
- Effective Fluid Description of the Dark Universe
- Probing Planck-scale Physics with Extragalactic Sources?
- Emergence of a Dark Force in Corpuscular Gravity
- From spacetime foam to holographic foam cosmology
- Comment on "Accelerated Detectors and Temperature in (Anti) de Sitter Spaces"
- Dark Matter, Infinite Statistics and Quantum Gravity
- New Constraints on Quantum Gravity from X-ray and Gamma-Ray Observations
- A small but nonzero cosmological constant
- Testing MONDian Dark Matter with Galactic Rotation Curves
- Modified Dark Matter: Relating Dark Energy, Dark Matter and Baryonic Matter
- Turbulence and Holography
- Testing Modified Dark Matter with Galaxy Clusters: Does Dark Matter know about the Cosmological Constant?
- Holography from loop quantum gravity
- Proposal for a new quantum theory of gravity
- Quantum Gravity and Dark Matter