Haug and Tatum have recently developed a cosmological model which links cosmic age, the Hubble constant, cosmic temperature, cosmological redshift and the Planck length in a manner fully consistent with general relativity. Furthermore, they have employed the Bekenstein-Hawking formula for black hole entropy and the “entropic gravity” and “entropic force” concepts of Erik Verlinde in order to attempt a mathematical model of the phenomena currently attributed to “dark energy”. Within the Haug-Tatum model, the entropic force is treated as a real force, since such forces are connected to real energy when they do work. This energy connected to the cosmological entropic force can therefore be regarded as “entropic energy”. When applied to this model, the current epoch entropic energy density is shown to be approximately 7.5 × 10?10 J?m?3. Thus, there is a close approximation to the current observed energy density of the “cosmological constant”. Our entropic energy density decay curve over the last 14 billion years of this model is presented in anticipation of the pending deep space dark energy survey results. Whether this “entropic energy” concept can be supported or refuted by observations, and whether cosmological “entropic energy” is what is currently called “dark energy,” is yet to be determined.
References
[1]
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R.A., Nugent, P., Castro, P.G., et al. (1999) Measurements of ω and λ from 42 High-Redshift Supernovae. TheAstrophysicalJournal, 517, 565-586. https://doi.org/10.1086/307221
[2]
Riess, A.G., Filippenko, A.V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P.M., et al. (1998) Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant. TheAstronomicalJournal, 116, 1009-1038. https://doi.org/10.1086/300499
[3]
Schmidt, B.P., Suntzeff, N.B., Phillips, M.M., Schommer, R.A., Clocchiatti, A., Kirshner, R.P., et al. (1998) The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Curvature of the Universe Using Type IA Supernovae. TheAstrophysicalJournal, 507, 46-63. https://doi.org/10.1086/306308
[4]
Banks, T. (2004) The Cosmological Constant Problem. PhysicsToday, 57, 46-51. https://doi.org/10.1063/1.1712501
[5]
Koberinski, A., Falck, B. and Smeenk, C. (2023) Contemporary Philosophical Perspectives on the Cosmological Constant. Universe, 9, Article 134. https://doi.org/10.3390/universe9030134
[6]
Verlinde, E. (2011) On the Origin of Gravity and the Laws of Newton. JournalofHighEnergyPhysics, 2011, Article No. 29. https://doi.org/10.1007/jhep04(2011)029
[7]
Verlinde, E.P. (2017) Emergent Gravity and the Dark Universe. SciPostPhysics, 2, Article 16. https://doi.org/10.21468/scipostphys.2.3.016
[8]
Roos, N. (2014) Entropic Forces in Brownian Motion. AmericanJournalofPhysics, 82, 1161-1166. https://doi.org/10.1119/1.4894381
Tatum, E.T., Seshavatharam, U.V.S. and Lakshminarayana, S. (2015) The Basics of Flat Space Cosmology. InternationalJournalofAstronomyandAstrophysics, 5, 116-124. https://doi.org/10.4236/ijaa.2015.52015
[11]
Tatum, E.T., Seshavatharam, U.V.S. and Lakshminarayana, S. (2015) Flat Space Cosmology as an Alternative to LCDM Cosmology. Frontiers of Astronomy, Astrophysics and Cosmology, 1, 98-104.
[12]
Tatum, E.T. (2018) Why Flat Space Cosmology Is Superior to Standard Inflationary Cosmology. JournalofModernPhysics, 9, 1867-1882. https://doi.org/10.4236/jmp.2018.910118
[13]
Haug, E.G. and Tatum, E.T. (2024) Solving the Hubble Tension by Extracting Current CMB Temperature from the Union2 Supernova Database. https://hal.science/hal-04368837
[14]
Haug, E.G. and Tatum, E.T. (2024) Planck Length from Cosmological Redshifts Solves the Hubble Tension. https://doi.org/0.13140/RG.2.2.21825.98407.
[15]
Haug, E.G. (2024) Closed Form Solution to the Hubble Tension Based on Rh = ct Cosmology for Generalized Cosmological Redshift Scaling of the Form: z = (Rh/Rt)x−1 Tested Against the Full Distance Ladder of Observed SN Ia Redshift. https://doi.org/10.20944/preprints202409.1697.v3
[16]
Haug E.G. and Tatum E.T. (2024) How a New Type of Rh = ct Cosmological Model Outperforms the Lambda-CDM Model in Numerous Categories and Resolves the Hubble Tension. https://doi.org/10.20944/preprints202410.1570.v1
[17]
Haug, E.G. and Tatum, E.T. (2025) Solving the Hubble Tension Using the PantheonPlusSH0ES Supernova Database. JournalofAppliedMathematicsandPhysics, 13, 593-622. https://doi.org/10.4236/jamp.2025.132033
[18]
Haug, E.G. and Tatum, E.T. (2025) A Newly-Derived Cosmological Redshift Formula Which Solves the Hubble Tension and Yet Maintains Consistency with Tt = T0(1 + Z), theRh = Ct Principle and the Stefan-Boltzmann Law. EuropeanJournalofAppliedPhysics, 7, 48-50. https://doi.org/10.24018/ejphysics.2025.7.1.368
[19]
Haug, E.G. and Tatum, E.T. (2024) The Hawking Hubble Temperature as the Minimum Temperature, the Planck Temperature as the Maximum Temperature, and the CMB Temperature as Their Geometric Mean Temperature. JournalofAppliedMathematicsandPhysics, 12, 3328-3348. https://doi.org/10.4236/jamp.2024.1210198
[20]
Narlikar, J.V. and Padmanabhan, T. (2001) Standard Cosmology and Alternatives: A Critical Appraisal. AnnualReviewofAstronomyandAstrophysics, 39, 211-248. https://doi.org/10.1146/annurev.astro.39.1.211
[21]
Melia, F. (2024) Strong Observational Support for the Rh = ct Timeline in the Early Universe. PhysicsoftheDarkUniverse, 46, Article ID: 101587. https://doi.org/10.1016/j.dark.2024.101587