共查询到20条相似文献,搜索用时 15 毫秒
1.
Recently, there has been much attention devoted to resolving the quantum corrections to the BekensteinHawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime. 相似文献
2.
Zhang Ya Hu Shuang-Qi Zhao Ren Li Huai-Fan 《International Journal of Theoretical Physics》2008,47(2):520-525
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole
entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the
black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing
the generalized uncertainty principle and obtain the correction term caused by the generalized uncertainty principle. Because
in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty
principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This
result is different from the known result at present. Our method is valid not only for single horizon spacetime but also for
spin axial symmetric spacetimes with double horizons. In the whole process, the physics idea is clear and calculation is simple.
It offers a new way for studying the entropy correction of the complicated spacetime. 相似文献
3.
ZHAO Hai-Xia LI Huai-Fan HU Shuang-Qi ZHAO Ren 《理论物理通讯》2007,48(3):465-468
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-- Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coetticient of the logarithmic term of the black hole entropy correction term. In this paper, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty prlnciple and obtain the correction term caused by the generalized uncertainty principle. Because in our calculation we think that the Bekenstein-Hawking area theorem is still valid after considering the generalized uncertainty principle, we derive that the coefficient of the logarithmic term of the black hole entropy correction term is positive. This result is different from the known result at present. Our method is valid not only for four-dimensional spacetimes but also for higher-dimensional spacetimes. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the entropy correction of the complicated spacetime. 相似文献
4.
Huaifan Li Huihua Zhao Lichun Zhang 《International Journal of Theoretical Physics》2013,52(2):362-367
Using the new equation of state density from the generalized uncertainty principle in quantum gravity, we study statistical entropy of a dielectric black hole. When λ introduced in the generalized uncertainty principle takes a specific value, we find that the leading term of the statistical entropy of the dielectric black hole takes the Bekenstein-Hawking entropy form. In addition a finite correction term is also obtained. Comparing with the original brick-wall model, in our calculation there is no divergence and the small mass approximation is also not needed. 相似文献
5.
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein–Hawking black hole entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the black hole entropy correction term. In this Letter, we calculate the correction value of the black hole entropy by utilizing the generalized uncertainty principle and obtain the correction terms of entropy, temperature and energy caused by the generalized uncertainty principle. We calculate Cardy–Verlinde formula after considering the correction. In our calculation, we only think that the Bekenstein–Hawking area theorem is still valid after considering the generalized uncertainty principle and do not introduce any assumption. In the whole process, the physics idea is clear and calculation is simple. It offers a new way for studying the corrections caused by the generalized uncertainty principle to the black hole thermodynamic quantity of the complicated spacetime. 相似文献
6.
If the uncertainty principle applies to the Verlinde entropic idea, it leads to a new term in the Newton's second law of mechanics in the Planck's scale. This curious velocity dependent term inspires a frictional feature of the gravity. In this short letter we address that this new term modifies the effective mass and the Newtonian constant as the time dependentquantities. Thus we must have a running on the value of the effective mass on the particle mass m near the holographic screen and the G. This result has a nigh relation with the Dirac hypothesis about the large numbers hypothesis (L.N.H.). We propose that the corrected entropic terms via Verlinde idea can be brought as a holographic evidence for the authenticity of the Dirac idea. 相似文献
7.
Using the new equation of state density from the generalized uncertainty principle, we investigate statistics entropy of a 3-dimensional rotating acoustic black hole. When λ introduced in the generalized uncertainty principle takes a specific value, we obtain an area entropy and a correction term associated with the acoustic black hole. In this method, there does not exist any divergence and one needs not the small mass approximation in the original brick-wall model. 相似文献
8.
After considering the generalized uncertainty principle, we discuss the quantum tunneling radiation of a five-dimensional Schwarzschild anti de Sitter black hole. The radiation spectrum and the correction value of the Bekenstein-Hawking entropy are derived. In a five-dimensional black hole the one order correction term in the Bekenstein-Hawking entropy correction term is proportional to the third power of the area, and the logarithmic correction term is a two-order small quantity. The correction term is related to the dimension constant introduced in the generalized uncertainty principle. Because the black hole entropy is not divergent, the lowest value of the five-dimensional Schwarzschild anti de Sitter black hole horizon radius is obtained. After considering the generalized uncertainty principle, the radiation spectrum is still consistent with normalization theory. 相似文献
9.
We discuss the relation between density matrices and the uncertainty principle; this allows us to justify and explain a recent statement by Man'ko et al. We thereafter use Hardy's uncertainty principle to prove a new result for Wigner distributions dominated by a Gaussian and we relate this result to the coarse-graining of phase-space by “quantum blobs”. 相似文献
10.
Li-Chun Zhang Huai-Fan Li Ren Zhao Yue-Qin Wu 《International Journal of Theoretical Physics》2008,47(7):2021-2028
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole
entropy. In particular, many researchers have expressed a vested interest in the coefficient of the logarithmic term of the
black hole entropy correction term. In this paper, based on the correction to black hole thermodynamic quantity due to the
generalized uncertainty principle, we calculate the partition function by energy spectrum obtained using tunneling effect.
Furthermore we derive the black hole entropy. In the expression, we not only consider the generalized uncertainty principle
but also consider the departure of black hole radiation spectrum from pure thermal spectrum. According to criterion law of
thermodynamic systems phase transition, we discuss the phase transition of AdS black hole and derive that the phase transition
of AdS black hole is a secondary one. 相似文献
11.
12.
A. B. Evans 《Foundations of Physics Letters》1990,3(4):389-393
A new four-space formulation of Dirac's equation motivates the extension of a result that expresses the uncertainty principle without using standard deviations. 相似文献
13.
Based on Snyder's idea of quantized space-time, we derive a new generalized uncertainty principle and new modified density of states. Accordingly, we discuss the influence of the modified generalized uncertainty principle on the black hole entropy and the influence of the modified density of states on the Stefan-Boltzman law. 相似文献
14.
Utilizing the quantum statistical method and applying the new state density equation motivated by generalized uncertainty principle in quantum gravitaty, we avoid the difficulty in solving wave equation and directly calculate the partition function ofbosonic and fermionic field on the background of rotating and charged black string. Then near the cosmological horizon, entropies of bosonic and fermionic field are calculated on the background of black string. When constant λ introduced ingeneralized uncertainty principle takes a proper value, we derive Bekenstein-Hawking entropy and the correction value corresponding cosmological horizon on the background of rotating and charged black string. Because we use the new state density equation, in our calculation there are not divergent term and small massapproximation in the original brick-wall method. From the view of quantum statistic mechanics, the correction value to Bekenstein-Hawking entropy of the black string is derived. It makes people deeply understand the correction value to the entropyof the black string cosmological horizon in non-spherical coordinate spacetime. 相似文献
15.
Ren Zhao Lichun Zhang Yueqin Wu Huaifan Li 《International Journal of Theoretical Physics》2009,48(11):3220-3227
Recently, there has been much attention devoted to the correction to the black hole radiation spectrum and the quantum corrections
to Bekenstein-Hawking entropy. In particular, many researchers have expressed a vested interest in the coefficient of the
logarithmic term of the black hole entropy correction term. In this paper, we calculate the radiation spectrum of arbitrary
dimension Schwarzschild black hole after considering the generalized uncertainty principle. The correction value of Bekenstein-Hawking
entropy is derived. 相似文献
16.
Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking black hole entropy. The different correction leading terms are obtained by the different methods. In this paper, we calculate the correction to
SAdS5 black hole thermodynamic quantity due to the generalized uncertainty principle. Furthermore we derive that the black hole entropy obeys Bekenstein-Hawking area theorem. The entropy has
infinite correction terms. And every term is finite and calculable. The corrected Cardy-Verlinde formula is derived. In our calculation, Bekenstein-Hawking area theorem still holds after
considering the generalized uncertainty principle. We have not introduced any hypothesis. The calculation is simple. Physics meaning is clear. We note that our results are quite general. It
is not only valid for four-dimensional spacetime but also for
higher-dimensional SAdS spacetime. 相似文献
17.
Thermodynamic effects of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle
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Zhenxiong Nie 《中国物理 B》2022,31(5):50401-050401
The thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated. We calculate the analytical expresses of corresponding thermodynamic variables, e.g., the Hawking temperature, entropy of the black hole. In addition, we derive the heat capacity to analyze the thermal stability of the black hole. We also compute the rate of emission in terms of photons through tunneling. By numerical method, an obvious phase transition behavior is found. Furthermore, according to the general uncertainty principle, we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term. Lastly, we investigate the effects of the magnetic charge g, the dark matter parameter k and the generalized uncertainty principle parameter α on the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle. 相似文献
18.
We propose a new approach to describe quantum mechanics as a manifestation of non-Euclidean geometry. In particular, we construct
a new geometrical space that we shall call Qwist. A Qwist space has a extra scalar degree of freedom that ultimately will
be identified with quantum effects. The geometrical properties of Qwist allow us to formulate a geometrical version of the
uncertainty principle. This relativistic uncertainty relation unifies the position-momentum and time-energy uncertainty principles
in a unique relation that recover both of them in the non-relativistic limit. 相似文献
19.
Michel Rumin 《Letters in Mathematical Physics》2012,100(3):291-308
Extending a recent result by Frank and Lieb, we show an entropic uncertainty principle for mixed states in a Hilbert space, relatively to pairs of positive operator valued measures that are independent in some sense. This yields spatial-spectral uncertainty principles and log-Sobolev inequalities for invariant operators on homogeneous spaces, which are sharp in the compact case. 相似文献
20.
In this note, we recalculate the entropy of the Vaidya black hole on the event horizon by considering the generalized uncertainty principle based on the brick-wall model. The result shows that we need not impose a cut-off by hand anymore and the result satisfies the Bekenstein-Hawking law as well. 相似文献