The cooperation between loop quantum gravity and Entropic gravity

In this paper, we show that bosons can produce bochromatic condensation without an energy layer when the boundary condition $\frac{T}{T_{c}}=z$(when z is complex) is preset. $r_{R}=zr_{A}\left(1-\frac{v^{2}}{c^{2}}\right)^{\frac{1}{2}}$(when z is A complex number). A new form of gravitational potential is obtained by combining the theory of gravitational entropy with loop quantum gravity.

Do They Compute? Dawn of a New Paradigm based on the Information-theoretic View of Black holes, Universe and Various Conceptual Interconnections of Fundamental Physics

The article endeavors to show how thinking about black holes as some form of hyper-efficient, serial computers could help us in thinking about the more fundamental aspects of space-time itself. Black holes as the most exotic and yet simplest forms of gravitational systems also embody quantum fluctuations that could be manipulated to archive hypercomputation, and even if this approach might not be realistic, yet it is important since it has deep connections with various aspects of quantum gravity, the highly desired unification of quantum mechanics and general relativity. The article describes how thinking about black holes as the most efficient kind of computers in the physical universe also paves the way for developing new ideas about such issues as black hole information paradox, the possibility of emulating the properties of curved space-time with the collective quantum behaviors of certain kind of condensate fluids, ideas of holographic spacetime, gravitational thermodynamics and entropic gravity, the role of quantum entanglements and non-locality in the construction of spacetime, spacetime geometry and the nature of gravitation and dark energy and dark matter, etc. to name a few.

On planetary orbits in entropic gravity

Starting with an entropy that includes volumetric, area and length terms as well as logarithmic contributions, we derive the corresponding modified Newtonian gravity and derive the expression for planetary orbits. We calculate the shift of the perihelion of Mercury to find bounds to the parameters associated to the modified Newtonian gravity. We compare the parameter associated to the volumetric contribution in the entropy-area relationship with the value derived for galactic rotation curves and the value obtained from the cosmological constant.

Holography from the first law of thermodynamics

This paper exploits well-known connections between quantum mechanics and thermodynamics. What happens if we assume that the first law of thermodynamics applies generally, inspired from thermodynamic and entropic gravity approaches and black hole thermodynamics? The conjecture is that quantum mechanics provides a complete dynamic description of thermodynamics that the first law of thermodynamics seems to call for, giving us a theory of holographic gravity. Some connections to the many-worlds interpretation are noted.

Quantum mechanics and entropic gravity via the principle of stationary von Neumann entropy and quantropy

This paper utilizes the principle of stationary entropy to derive Feynman path integral formalism of quantum mechanics and entropic gravity formalism that recovers the Einstein field equations in the classical limit. For dynamics, the relevant concept of entropy is quantropy, proposed by John Baez et al. For statics, the relevant concept of entropy is von Neumann entropy.

Why holographic and entropic gravity?

This paper is no longer maintained, succeeded by a new paper that combines ideas from multiple works. Please refer to the new paper.

Friedmann equations for deformed entropic gravity

In this study, we investigate the effects of the one- and two-parameters deformed systems on the Friedmann equations of the Friedmann–Robertson–Walker (FRW) universe by using the entropic gravity approach in the framework of the early universe era. We give simplified forms for the deformed Unruh temperature and Einstein field equations for three different deformed systems. Based on these compact equations, we derive the Friedmann equations with the effective gravitational and cosmological terms.