We will discuss how the entropy of the growing black hole Hubble sphere in R H t = c t cosmology, as described by Haug and Tatum, is fully consistent with the conservation of energy in the form S T = E .
Pathria, R.K. (1972) The Universe as a Black Hole. Nature , 240, 298-299. https://doi.org/10.1038/240298a0
Stuckey, W.M. (1994) The Observable Universe Inside a Black Hole. American Journal of Physics , 62, 788-795. https://doi.org/10.1119/1.17460
Christillin, P. (2014) The Machian Origin of Linear Inertial Forces from Our Gravitationally Radiating Black Hole Universe. The European Physical Journal Plus , 129, Article No. 175. https://doi.org/10.1140/epjp/i2014-14175-2
Zhang, T.X. and Frederick, C. (2013) Acceleration of Black Hole Universe. Astrophysics and Space Science , 349, 567-573. https://doi.org/10.1007/s10509-013-1644-6
Popławski, N. (2016) Universe in a Black Hole in Einstein-Cartan Gravity. The Astrophysical Journal , 832, Article No. 96. https://doi.org/10.3847/0004-637x/832/2/96
Zhang, T.X. (2018) The Principles and Laws of Black Hole Universe. Journal of Modern Physics , 9, 1838-1865. https://doi.org/10.4236/jmp.2018.99117
Easson, D.A. and Brandenberger, R.H. (2001) Universe Generation from Black Hole Interiors. Journal of High Energy Physics , 2001, Article No. 24. https://doi.org/10.1088/1126-6708/2001/06/024
Gaztanaga, E. (2022) The Black Hole Universe, Part I. Symmetry , 14, Article No. 1849. https://doi.org/10.3390/sym14091849
Roupas, Z. (2022) Detectable Universes inside Regular Black Holes. The European Physical Journal C , 82, Article No. 255. https://doi.org/10.1140/epjc/s10052-022-10202-6
Siegel, E. (2022) Are We Living in a Baby Universe That Looks like a Black Hole to Outsiders? Hard Science, Big Think, January 27. https://bigthink.com/hard-science/baby-universes-black-holes-dark-matter/
Lineweaver, C.H. and Patel, V.M. (2023) All Objects and Some Questions. American Journal of Physics , 91, 819-825. https://doi.org/10.1119/5.0150209
Haug, E.G. (2024) Thermodynamic Cosmology from the CMB Temperature and the Planck Temperature and the Relation to Quantum Cosmology. https://doi.org/10.20944/preprints202412.1536.v1
Shamir, L. (2025) The Distribution of Galaxy Rotation in JWST Advanced Deep Extragalactic Survey. Monthly Notices of the Royal Astronomical Society , 538, 76-91. https://doi.org/10.1093/mnras/staf292
Friedman, A. (1922) Über die Krüng des Raumes. Zeitschrift für Physik , 10, 377-386. https://doi.org/10.1007/bf01332580
Haug, E.G. and Tatum, E.T. (2024) How a New Type of Cosmological Model Outperforms the Λ-CDM Model in Numerous Categories and Resolves the Hubble Tension.
Melia, F. and Shevchuk, A.S.H. (2011) The Universe. Monthly Notices of the Royal Astronomical Society , 419, 2579-2586. https://doi.org/10.1111/j.1365-2966.2011.19906.x
Melia, F. (2021) Thermodynamics of the Universe: A Simplification of Cosmic Entropy. The European Physical Journal C , 81, Article No. 234. https://doi.org/10.1140/epjc/s10052-021-09028-5
Melia, F. (2023) Model Selection with Baryonic Acoustic Oscillations in the Lyman- α Forest. Europhysics Letters , 143, Article No. 59004. https://doi.org/10.1209/0295-5075/acf60c
Haug, E.G. and Tatum, E.T. (2025) Finding the Planck Length from the Union2 Supernova Database in a Way That Appears to Resolve the Hubble Tension. Journal of Applied Mathematics and Physics , 13, 2063-2089. https://doi.org/10.4236/jamp.2025.136115
Haug, E.G. (2024) CMB, Hawking, Planck, and Hubble Scale Relations Consistent with Recent Quantization of General Relativity Theory. International Journal of Theoretical Physics , 63, Article No. 57. https://doi.org/10.1007/s10773-024-05570-6
Haug, E.G. and Tatum, E.T. (2024) Cosmic Entropy Prediction with Extremely High Precision in Cosmology.
Tatum, E.T. and Haug, E.G. (2025) How the Haug-Tatum Cosmology Model Entropic Energy Might Be Directly Linked to Dark Energy. Journal of Modern Physics , 16, 382-389. https://doi.org/10.4236/jmp.2025.163021
Haug, E.G. (2025) Hubble Entropic States and Hubble Radiation Pressure from the Hubble Sphere Energy-Gap (Mass-Gap). Cambridge University Press.
Lloyd, S. (2000) Ultimate Physical Limits to Computation. Nature , 406, 1047-1054. https://doi.org/10.1038/35023282
Haug, E.G. (2024) The Planck Computer Is the Quantum Gravity Computer: We Live inside a Gigantic Computer, the Hubble Sphere Computer? Quantum Reports , 6, 482-492. https://doi.org/10.3390/quantum6030032
Haug, E.G. (2024) Planck Quantised General Relativity Theory Written on Different Forms. Journal of Applied Mathematics and Physics , 12, 2281-2301. https://doi.org/10.4236/jamp.2024.126136
Haug, E.G. (2023) The Compton Wavelength Is the True Matter Wavelength, Linked to the Photon Wavelength, While the de Broglie Wavelength Is Simply a Mathematical Derivative, Understanding This Leads to Unification of Gravity and New Quantum Mechanics. Qeios.
Compton, A.H. (1923) A Quantum Theory of the Scattering of X-Rays by Light Elements. Physical Review , 21, 483-502. https://doi.org/10.1103/physrev.21.483
Compton, A.H. (1923) The Scattering of X-Rays. Advancement of Science , 198, 1183.
Haug, E.G. (2020) Finding the Planck Length Multiplied by the Speed of Light without Any Knowledge of , , or , Using a Newton Force Spring. Journal of Physics Communications , 4, Article ID: 075001. https://doi.org/10.1088/2399-6528/ab9dd7
Haug, E.G. (2022) Progress in the Composite View of the Newton Gravitational Constant and Its Link to the Planck Scale. Universe , 8, Article No. 454. https://doi.org/10.3390/universe8090454
Haug, E.G. (2022) Planck Units Measured Totally Independently of Big . Open Journal of Microphysics , 12, 55-85. https://doi.org/10.4236/ojm.2022.122004
Planck, M. (1899) Natuerliche Masseinheiten. Der Königlich Preussischen Akademie Der Wissenschaften. https://www.biodiversitylibrary.org/item/93034#page/7/mode/1up
Planck, M. (1906) Vorlesungen über die Theorie der Wärmestrahlung. J.A. Barth, 163.
Haug, E.G. (2025) An Exact CMB Photon Radiation Density of the Universe Derived from Cosmology. Cambridge University Press.
Wojnow, S. (2025) An Exact Formula for Cosmic Entropy in Cosmological Model.
Haug, E.G. (2023) Different Mass Definitions and Their Pluses and Minuses Related to Gravity. Foundations , 3, 199-219. https://doi.org/10.3390/foundations3020017
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. Journal of Applied Mathematics and Physics , 12, 3328-3348. https://doi.org/10.4236/jamp.2024.1210198
Haug, E.G. (2025) The CMB Temperature Is Simply the Geometric Mean: of the Minimum and Maximum Temperature in the Hubble Sphere. Journal of Applied Mathematics and Physics , 13, 1085-1096. https://doi.org/10.4236/jamp.2025.134056
Haug, E.G. (2025) The Hubble Sphere as an Extremal Reissner-Nordström Black Hole Carnot Engine Operating at the CMB Temperature of . Cambridge University Press.