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On the holographic bound in Newtonian cosmology [article]

P. Fernandez de Cordoba, J.M. Isidro
<span title="2018-01-23">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The holographic principle sets an upper bound on the total entropy content of the Universe.  ...  The results thus obtained no longer saturate the holographic bound, thus representing a considerable improvement on previous theoretical estimates.  ...  This is a considerable improvement on the results of ref. [3] , where the holographic bound was saturated.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1710.00507v2">arXiv:1710.00507v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hkkl6ovzhzemlgu5qfpcb4erqu">fatcat:hkkl6ovzhzemlgu5qfpcb4erqu</a> </span>
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On the Holographic Bound in Newtonian Cosmology

<span title="2018-01-25">2018</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
In this work we point out the existence of a remarkable duality between nonrelativistic quantum mechanics on the one hand, and Newtonian cosmology on the other.  ...  In a first approximation, we model the cosmological fluid as the quantum probability fluid of free Schroedinger waves. We find that this model Universe saturates the holographic bound.  ...  Author Contributions: The two authors contributed equally to this article  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e20020083">doi:10.3390/e20020083</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/33265174">pmid:33265174</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/veli2qjlm5chdhpf4d6qfh7vii">fatcat:veli2qjlm5chdhpf4d6qfh7vii</a> </span>
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Boltzmann Entropy, the Holographic Bound and Newtonian Cosmology

Pedro Córdoba, Jose Juan
<span title="2017-11-21">2017</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tmebwgnfrvem5c5r53x7zxx3yq" style="color: black;">Proceedings (MDPI)</a> </i> &nbsp;
In this work we point out the existence of a remarkable duality between nonrelativistic quantum mechanics on the one hand, and Newtonian cosmology on the other.  ...  The holographic principle sets an upper bound on the total (Boltzmann) entropy content of the Universe at around 10 123 k B (k B being Boltzmann's constant).  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/ecea-4-05008">doi:10.3390/ecea-4-05008</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qaxdzihhuzhtjlrho6dfupbley">fatcat:qaxdzihhuzhtjlrho6dfupbley</a> </span>
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Role of the cosmological constant in the holographic description of the early universe

Yun Soo Myung
<span title="">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xefhbpc6n5fzpn6t7c45s6623i" style="color: black;">Physics Letters B</a> </i> &nbsp;
Consequently the entropy concept of the cosmological constant is very suitable for establishing the holographic entropy bounds in the early universe.  ...  In order to understand the nature of cosmological term, we first study the newtonian cosmology. Here we find two aspects of the cosmological term: entropy (Λ→ S_Λ) and energy (Λ→ E_Λ).  ...  This work was supported in part by KOSEF, Project Number: R02-2002-000-00028-0.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physletb.2003.10.051">doi:10.1016/j.physletb.2003.10.051</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/t74m7gwxmfa4vk7pgwd6w2pda4">fatcat:t74m7gwxmfa4vk7pgwd6w2pda4</a> </span>
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Implications of Maximum Acceleration on Dynamics

H. Moradpour, A. Amiri, A. Sheykhi
<span title="2018-05-21">2018</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pq57wtyr5ncmjdvsznq32glicq" style="color: black;">Iranian Journal of Science and Technology Transactions A Science</a> </i> &nbsp;
Moreover, we address modifications to the Newtonian cosmology as well as the Friedmann equations corresponding to the upper bound for acceleration.  ...  In addition, we also investigate the effects of the highest achievable acceleration correction to the Unruh temperature on the Poisson equation.  ...  (19) , one obtains the modified Newtonian cosmology as R R   1 − R r A A 2   −1/2 = − 4πG 3 ρ. (22) It is apparent that the Newtonian cosmology is recovered in the absence of the maximum acceleration  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40995-018-0569-x">doi:10.1007/s40995-018-0569-x</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mhvp7g6vrjfpvgebcnq2zmrqga">fatcat:mhvp7g6vrjfpvgebcnq2zmrqga</a> </span>
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Boltzmann entropy of a Newtonian Universe [article]

D. Cabrera, P. Fernandez de Cordoba, J.M. Isidro
<span title="2017-05-04">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
While providing values of the entropy that turn out to be somewhat higher than existing estimates, our results are in perfect compliance with the upper bound set by the holographic principle.  ...  A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology.  ...  In particular, the holographic bound continues to be saturated in this nonperturbative approach.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1703.08082v2">arXiv:1703.08082v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xgus4efbf5dphkelfcrqk4yqji">fatcat:xgus4efbf5dphkelfcrqk4yqji</a> </span>
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Debye Entropic Force and Modified Newtonian Dynamics

Xin Li, Zhe Chang
<span title="">2011</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/olhoxj2lqvgmva2qild5wnmst4" style="color: black;">Communications in Theoretical Physics</a> </i> &nbsp;
We find that there do have a strong connection between MOND and cosmology in the framework of Verlinde's entropic force, if the holographic screen is taken to be bound of the Universe.  ...  The modified entropic force is connected with modified Newtonian dynamics (MOND).  ...  The work was supported by the NSF of China under Grant No. 10525522 and 10875129.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/0253-6102/55/4/41">doi:10.1088/0253-6102/55/4/41</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/euvxhz7ohfhmdfxv27x5fe3kku">fatcat:euvxhz7ohfhmdfxv27x5fe3kku</a> </span>
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Boltzmann Entropy of a Newtonian Universe

<span title="2017-05-06">2017</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
While providing values of the entropy that turn out to be somewhat higher than existing estimates, our results are in perfect compliance with the upper bound set by the holographic principle.  ...  A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology.  ...  All authors have read and approved the final manuscript. Conflicts of Interest: The authors declare no conflict of interest.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e19050212">doi:10.3390/e19050212</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xl6imesiq5h5pf5a2jitiyc6vm">fatcat:xl6imesiq5h5pf5a2jitiyc6vm</a> </span>
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Anomalous Galactic Dynamics by Collusion of Rindler and Cosmological Horizons

Maurice H. P. M. van Putten
<span title="2017-02-28">2017</span> <i title="American Astronomical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/otgg2yqymve23nrsflax26msgm" style="color: black;">Astrophysical Journal</a> </i> &nbsp;
In holography, thedimensional reduction of phase space to two dimensions defines a dynamical dark energy of ( ) L =q H 1 2 , associated with the cosmological horizon at aHubble radius of = R c H H ,  ...  Instead, future galaxy surveys may determine ( ) | = = Q dq z dz z 0 0 , to provide a direct test of dynamical dark energy ( > Q 2.5 0 ) versus ΛCDM ( < Q 1 0 ) and establish a bound of -10 eV 30 on the  ...  This report is supported in part by the Korean National Research Foundation under Grants 2015R1D1A1A01059793 and 2016R1A5A1013277.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3847/1538-4357/aa5da9">doi:10.3847/1538-4357/aa5da9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iy7q5xwkhffhzcos3ngvhf4vwy">fatcat:iy7q5xwkhffhzcos3ngvhf4vwy</a> </span>
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A NEW ESTIMATOR OF THE DECELERATION PARAMETER FROM GALAXY ROTATION CURVES

Maurice H. P. M. van Putten
<span title="2016-06-08">2016</span> <i title="American Astronomical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/otgg2yqymve23nrsflax26msgm" style="color: black;">Astrophysical Journal</a> </i> &nbsp;
The associated transition radius to non-Newtonian gravity may conceivably be probed in a free fall Cavendish type experiment in space.  ...  We derive q=1-(4π a_0/cH)^2, enabling a determination of q(z) by measurement of Milgrom's parameter a_0(z) in galaxy rotation curves, equivalent to the coefficient A in the Tully-Fisher relation V^4_c=  ...  This report, NSF-KITP-16-016, was supported in part by the National Research Foundation of Korea and the National Science Foundation under grant No. NSF PHY11-25915.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3847/0004-637x/824/1/43">doi:10.3847/0004-637x/824/1/43</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kilfzlgmj5ex5erb33ulx6tkle">fatcat:kilfzlgmj5ex5erb33ulx6tkle</a> </span>
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A New Estimator Of The Deceleration Parameter From Galaxy Rotation Curves

Maurice H.P.M. van Putten
<span title="2016-04-05">2016</span> <i title="Zenodo"> Zenodo </i> &nbsp;
To appear in ApJ  ...  The Newtonian limit is recovered in §3, extended to non-Newtonian asymptotic behavior in r >> r t in (4) on a de Sitter background in §4.  ...  Illustrative for a holographic origin of Λ is a dimensional analysis based on L 0 = c 5 /G and the associated pressure p = L 0 c/A H on the cosmological horizon, where A H = 4πR 2 H .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.5281/zenodo.48985">doi:10.5281/zenodo.48985</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3mjr7w37e5b4hceg36xujmvh5i">fatcat:3mjr7w37e5b4hceg36xujmvh5i</a> </span>
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Quantum UV/IR relations and holographic dark energy from entropic force

Miao Li, Yi Wang
<span title="">2010</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xefhbpc6n5fzpn6t7c45s6623i" style="color: black;">Physics Letters B</a> </i> &nbsp;
We show that applying the entropic force formalism to cosmology, there is an additional term in the Friedmann equation, which can be identified as holographic dark energy.  ...  We also propose an intuitive picture of holographic screen, which can be thought of as an improvement of Susskind's holographic screen.  ...  In other words, Newtonian potential results in a "coarse graining" description of the bulk object on the holographic screen.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physletb.2010.03.042">doi:10.1016/j.physletb.2010.03.042</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yhhejyiwyvdppeppbdkghy2ury">fatcat:yhhejyiwyvdppeppbdkghy2ury</a> </span>
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Does entropic force always imply the Newtonian force law?

Yun Soo Myung
<span title="">2011</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkristlbcjejngw5nuiceaedmu" style="color: black;">European Physical Journal C: Particles and Fields</a> </i> &nbsp;
In this case, applying a modified entropic force to this system does not lead to the Newtonian force law.  ...  We study the entropic force by introducing a bound S < A^3/4 between entropy and area which was derived by imposing the non-gravitational collapse condition.  ...  In order to derive the Newtonian force law, one has to explain why the entropy of the surface (holographic screen) is given by the area-law.  ... 
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TOWARDS A HOLOGRAPHIC THEORY OF COSMOLOGY — THREADS IN A TAPESTRY

Y. JACK NG
<span title="">2013</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s4axo5wdafgktfrovifajz7b24" style="color: black;">International Journal of Modern Physics D</a> </i> &nbsp;
We suggest that the holographic principle is the linchpin in a unified scheme to understand these various issues.  ...  In this Essay we address several fundamental issues in cosmology: What is the nature of dark energy and dark matter? Why is the dark sector so different from ordinary matter?  ...  In this Essay we will apply the holographic principle to address a few fundamental issues in gravity and cosmology.  ... 
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DENSITY PERTURBATIONS IN DECAYING HOLOGRAPHIC DARK ENERGY MODELS

KYOUNG YEE KIM, HYUNG WON LEE, YUN SOO MYUNG
<span title="2009-05-30">2009</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/poyprimnivfenn3g643u3vtsxy" style="color: black;">Modern Physics Letters A</a> </i> &nbsp;
We study cosmological perturbations in the context of an interacting dark energy model, where the holographic dark energy with IR cutoff decays into the cold dark matter (CDM).  ...  Here we present small perturbations under the case that effective equation of state (EOS: ω^ eff) for the holographic energy density is determined to be the same negative constant as that for the CDM.  ...  On the other hand, there exists the dynamical cosmological constant derived by the holographic principle.  ... 
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