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Title: Modified entropic force

Abstract

The theory of statistical thermodynamics tells us the equipartition law of energy does not hold in the limit of very low temperatures. It is found the Debye model is very successful in explaining the experimental results for most of the solid objects. Motivated by this fact, we modify the entropic force formula which is proposed very recently. Since the Unruh temperature is proportional to the strength of the gravitational field, so the modified entropic force formula is an extension of the Newtonian gravity to the weak field. On the contrary, general relativity extends Newtonian gravity to the strong field case. Corresponding to Debye temperature, there exists a Debye acceleration g{sub D}. It is found the Debye acceleration is g{sub D}=10{sup -15} N kg{sup -1}. This acceleration is very much smaller than the gravitational acceleration 10{sup -4} N kg{sup -1} which is felt by Neptune and the gravitational acceleration 10{sup -10} N kg{sup -1} felt by the Sun. Therefore, the modified entropic force can be very well approximated by the Newtonian gravity in the Solar System and in the Galaxy. With this Debye acceleration, we find the current cosmic speeding up can be explained without invoking any kind of dark energy.

Authors:
 [1]
  1. National Astronomical Observatories, Chinese Academy of Sciences, Key Laboratory of Optical Astronomy, NAOC, CAS, Beijing, 100012 and Kavli Institute for Theoretical Physics China, CAS, Beijing 100190 (China)
Publication Date:
OSTI Identifier:
21415180
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 81; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.81.087306; (c) 2010 The American Physical Society; Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCELERATION; DEBYE TEMPERATURE; GALAXIES; GENERAL RELATIVITY THEORY; GRAVITATION; GRAVITATIONAL FIELDS; NEPTUNE PLANET; NONLUMINOUS MATTER; SOLAR SYSTEM; SOLIDS; SUN; THERMODYNAMICS; FIELD THEORIES; MAIN SEQUENCE STARS; MATTER; PLANETS; RELATIVITY THEORY; STARS

Citation Formats

Changjun, Gao. Modified entropic force. United States: N. p., 2010. Web. doi:10.1103/PHYSREVD.81.087306.
Changjun, Gao. Modified entropic force. United States. https://doi.org/10.1103/PHYSREVD.81.087306
Changjun, Gao. 2010. "Modified entropic force". United States. https://doi.org/10.1103/PHYSREVD.81.087306.
@article{osti_21415180,
title = {Modified entropic force},
author = {Changjun, Gao},
abstractNote = {The theory of statistical thermodynamics tells us the equipartition law of energy does not hold in the limit of very low temperatures. It is found the Debye model is very successful in explaining the experimental results for most of the solid objects. Motivated by this fact, we modify the entropic force formula which is proposed very recently. Since the Unruh temperature is proportional to the strength of the gravitational field, so the modified entropic force formula is an extension of the Newtonian gravity to the weak field. On the contrary, general relativity extends Newtonian gravity to the strong field case. Corresponding to Debye temperature, there exists a Debye acceleration g{sub D}. It is found the Debye acceleration is g{sub D}=10{sup -15} N kg{sup -1}. This acceleration is very much smaller than the gravitational acceleration 10{sup -4} N kg{sup -1} which is felt by Neptune and the gravitational acceleration 10{sup -10} N kg{sup -1} felt by the Sun. Therefore, the modified entropic force can be very well approximated by the Newtonian gravity in the Solar System and in the Galaxy. With this Debye acceleration, we find the current cosmic speeding up can be explained without invoking any kind of dark energy.},
doi = {10.1103/PHYSREVD.81.087306},
url = {https://www.osti.gov/biblio/21415180}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 81,
place = {United States},
year = {Thu Apr 15 00:00:00 EDT 2010},
month = {Thu Apr 15 00:00:00 EDT 2010}
}