# Entropic Corrections to Coulomb’s Law

@article{Hendi2010EntropicCT, title={Entropic Corrections to Coulomb’s Law}, author={Seyed Hossein Hendi and Ahmad Sheykhi}, journal={International Journal of Theoretical Physics}, year={2010}, volume={51}, pages={1125-1136} }

Two well-known quantum corrections to the area law have been introduced in the literatures, namely, logarithmic and power-law corrections. Logarithmic corrections, arises from loop quantum gravity due to thermal equilibrium fluctuations and quantum fluctuations, while, power-law correction appears in dealing with the entanglement of quantum fields in and out the horizon. Inspired by Verlinde’s argument on the entropic force, and assuming the quantum corrected relation for the entropy, we…

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## References

SHOWING 1-10 OF 88 REFERENCES

### Power-Law Entropic Corrections to Newton's Law and Friedmann Equations From Entropic Force

- Physics
- 2010

A possible source of black hole entropy could be the entanglement of quantum fields in and out the horizon. The entanglement entropy of the ground state obeys the area law. However, a correction term…

### Entropic corrections to Friedmann equations

- Physics
- 2010

Recently, Verlinde discussed that gravity can be understood as an entropic force caused by changes in the information associated with the positions of material bodies. In Verlinde's argument, the…

### Power-law corrections to entanglement entropy of horizons

- Physics
- 2008

We reexamine the idea that the origin of black-hole entropy may lie in the entanglement of quantum fields between the inside and outside of the horizon. Motivated by the observation that certain…

### Coulomb force as an entropic force

- Physics
- 2010

Motivated by Verlinde's theory of entropic gravity, we give a tentative explanation to the Coulomb's law with an entropic force. When trying to do this, we find the equipartition rule should be…

### Vacuum Polarization in a Strong Coulomb Field

- Physics
- 1954

A study is carried out of the vacuum polarization in a strong Coulomb field. Radiative corrections are neglected. A perturbation calculation is avoided by making use of the explicit solutions of the…

### Thermodynamics of black holes from equipartition of energy and holography

- Physics
- 2010

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S = A/4 (in the natural…

### Thermodynamical aspects of gravity: new insights

- Geology
- 2010

The fact that one can associate thermodynamic properties with horizons brings together principles of quantum theory, gravitation and thermodynamics and possibly offers a window to the nature of…

### Unified first law and the thermodynamics of the apparent horizon in the FRW universe

- Physics
- 2007

In this paper we revisit the relation between the Friedmann equations and the first law of thermodynamics. We find that the unified first law first proposed by Hayward to treat the outertrapping…

### Equipartition of energy in the horizon degrees of freedom and the emergence of gravity

- Physics
- 2010

It is possible to provide a physical interpretation for the field equations of gravity based on a thermodynamical perspective. The virtual degrees of freedom associated with the horizons, as…

### Quantum tunneling beyond semiclassical approximation

- Physics
- 2008

Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are…