Landauer’s Principle of Minimum Energy Might Place Limits on the Detectability of Gravitons of Certain Mass
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According to Landauer’s principle, the energy of a particle may be used to record or erase N number of information bits within the thermal bath. The maximum number of information N recorded by the particle in the heat bath is found to be inversely proportional to its temperature T. If at least one bit of information is transferred from the particle to the medium, then the particle might exchange information with the medium. Therefore for at least one bit of information, the limiting mass that can carry or transform information assuming a temperature T= 2.73 K is equal to m = 4.718´10-40 kg which is many orders of magnitude smaller that the masse of most of today’s elementary particles. Next, using the corresponding temperature of a graviton relic and assuming at least one bit of information the corresponding graviton mass is calculated and from that, a relation for the number of information N carried by a graviton as a function of the graviton mass mgr is derived. Furthermore, the range of information number contained in a graviton is also calculated for the given range of graviton mass as given by Nieto and Goldhaber, from which we find that the range of the graviton is inversely proportional to the information number N. Finally, treating the gravitons as harmonic oscillators in an enclosure of size R we derive the range of a graviton as a function of the cosmological parameters in the present era.
References
-
R. Landauer. Dissipation and noise immunity in computation and communication. Nature, 1998; 335, 779.
Google Scholar
1
-
S. Lloyd. Computational capacity of the Universe. Phys.Rev.Lett., 2002; 88, 237901.
Google Scholar
2
-
I. Haranas, I. Gkigkitzis. The number of information bits related to the minimum quantum and gravitational masses in a vacuum dominated universe. Astrophys. Space Sci., 2013. doi:10.1007/ s10509-013-1434-1.
Google Scholar
3
-
M. Vopson. The mass-energy-information equivalence principle, AIP Advances, 2019; 9, 095206; doi: 10.1063/1.5123794.
Google Scholar
4
-
E. Bormashenko. The Landauer Principle: Re-Formulation of the Second Thermodynamics Law or a Step to Great Unification? Entropy, 2019; 21: 918, doi:10.3390/e21100918.
Google Scholar
5
-
C. W. Misner, K. S. Thorne, J. A. Wheeler. Gravitation, 1973; 438 W. H. Feeman and Company, New York.
Google Scholar
6
-
D. I. Jones Bounding the mass of the graviton using eccentric binaries, Astrophys. J., 2004; 618: L115-L118.
Google Scholar
7
-
A. P. Lightman, W. H. Press, R. H. Price, and S. A. Teukolsky. Problem 12.16. Problem Book in Relativity and Gravitation, Princeton University Press, 1975.
Google Scholar
8
-
F. J. Dyson. The world on a string, review of The Fabric of the Cosmos: Space, Time, and the Texture of Reality by Brian Greene, NY Rev. Books 51(8), 2004.
Google Scholar
9
-
N. D. Birrel, P. C. Davies. Quantum fields in curved space, Cambridge Monographs on Mathematical Physics, p. 150, 1994.
Google Scholar
10
-
M. Novello R. P. Neves. The mass of the graviton and the cosmological constant. Classical and Quantum Gravity, 2003; 20(6):L67–L73.
Google Scholar
11
-
J. R. Mureika J. R., and R. B. Mann. Does entropic gravity bound the masses of the photon and graviton? Modern Physics Letters A, 2011; 26(3):171–181.
Google Scholar
12
-
't Hooft, Gerard. Dimensional Reduction in Quantum Gravity arXiv:gr-qc/9310026, 1993.
Google Scholar
13
-
G. F. Smoot. Go with the Flow, Average Holographic Universe. Int. J. Mod. Phys. 2010; D19: 2247-2258.
Google Scholar
14
-
C. A. Egan, C. H. Lineweaver. A larger estimate of the entropy of the Universe. Astrophys. J., 2010; 710 (2), 1831.
Google Scholar
15
-
P. H. Frampton, T. W. Kephart Upper and Lower Bounds on Gravitational Energy. Journal of Cosmology and Astro-Particle Physics, 2008; 6, 8.
Google Scholar
16
-
P. H. Frampton, S. D. H Hsu,T. W. Kephart, D. Reeb. Classical and Quantum Gravity, 2009, 26, 145005.
Google Scholar
17
-
A. S. Goldhaber M. M. Nieto, Photon and graviton mass limits. Rev. Mod. Phys., 2010; 82, 939.
Google Scholar
18
-
A. Loureiro, M Mahoney. Upper Bound of Neutrino Masses from Combined Cosmological Observations and Rationale for a large text compression benchmark, Florida Institute of Technology, Retrieved March 2013.
Google Scholar
19
-
I. Haranas, I. Gkigkitzis. The Mass of Graviton and Its Relation to the Number of Information according to the Holographic Principle. Hindawi Publishing Corporation International Scholarly Research Notices, 2017; 2014, Article ID 718251, 8 pages.
Google Scholar
20
-
I. Bars, J. Terning. Extra Dimensions in Space and Time, Springer, 2009. New-York, NY.
Google Scholar
21
-
M Davis, C. Lineweaver. Expanding confusion: common misconceptions of cosmological horizons and the superluminal expansion of the universe. Publications of the Astronomical Society of Australia, 2004; 21(1):97–109.
Google Scholar
22
-
L. S., Finn P. J., Sutton. Bounding the Mass of the Graviton Using Binary Pulsar Observations. Phys. Rev., 2002; D 65, 044022/1-7.
Google Scholar
23
-
J. H. Taylor, A. Wolszczan, T. Damour, and J. M. Weisberg. Experimental Constraints on Strong-Field Relativistic Gravity. Nature, 1992; 355: 132-136.
Google Scholar
24
-
S. Viaggiu. Statistical mechanics of gravitons in a box and the black hole entropy. Physica A, 2017; 473:412-422.
Google Scholar
25
-
J. B. Bekenstein. Energy Cost of Information Transfer. Phys. Rev. Let., 1981;46:10.
Google Scholar
26
-
I. Haranas, I. Gkigkitzis. The Mass of Graviton and Its Relation to the Number of Information according to the Holographic Principle, Hindawi Publishing Corporation International Scholarly Research Notices, 2014;2014. Article ID 718251, 8 pages.
Google Scholar
27
-
I. Haranas, I. Gkigkitzis, S., Kirk. Number of information and its relation to the cosmological constant resulting from Landauer’s principle, Astrophys Space Sci, 2013a;348:553–557.
Google Scholar
28
-
I. Haranas, I., Gkigkitzis. Bekestein bound of information number N and its relation to cosmological parameters in a Universe with and without cosmological constant. Mod. Phys. Lett. A, 2013b; 28(19):1350077.
Google Scholar
29
-
B. W., Carroll, D. A., Ostlie. An Introduction to Modern Astrophysics 2nd edition, Pearson-Addison Wesley 2007.
Google Scholar
30
-
M. Mahoney. Observation and Rationale for a large text compression benchmark, Florida Institute of Technology, Retrieved 5 March 2013.
Google Scholar
31
-
A. Shmilovici, Y. Kahir, I. Ben-Gal, S. Hauser. Measuring the efficiency of the intraday forex market with universal data compression algorithm. Computational Economics, 2009;33(2):131-154.
Google Scholar
32
-
Ben-Gal. On the use of data compression measures to analyze robust designs. IEEE Transactions on Reliability, 2008;54(3):381-388.
Google Scholar
33