In previous work, we have studied the relationship between the evolution of basal metabolic rate and the capacity to generate structure in living organisms. We analyzed the modifications of this relationship throughout life, as well as the possible holographic description of biological physical systems. Given that changes in this relationship affect the behavior of biological variables (the virtual parameter space) as well as the environment in which they define their values (the real physical space in which they operate), mathematical formalization is necessary to unify criteria. In this way, physics and biology can be described using the same language.
References
[1]
Barragán, J. and Sánchez, S. (2022) Beyond Biological Aging: Table Analysis. AdvancesinAgingResearch, 11, 27-34. https://doi.org/10.4236/aar.2022.112003
[2]
Barragán, J. and Sánchez, S. (2023) Aging and Biological Oscillation: A Question of Geometry. AdvancesinAgingResearch, 12, 1-9. https://doi.org/10.4236/aar.2023.121001
[3]
Barragán, J. and Sánchez, S. (2023) About the Thermodynamics and Aging of Self-Organizing Systems. AdvancesinAgingResearch, 12, 56-66. https://doi.org/10.4236/aar.2023.124005
[4]
Barragán, J. and Sánchez, S. (2024) Doppler Effect: A Look from Biology Aging. AdvancesinAgingResearch, 13, 75-84. https://doi.org/10.4236/aar.2024.134006
[5]
Barragán, J. and Sánchez, S. (2025) Aging and Dynamics of Information: The Deeper Side of Biology (an Interdisciplinary Commentary). AdvancesinAgingResearch, 14, 22-36. https://doi.org/10.4236/aar.2025.141002
[6]
Barragán, J. and Sánchez, S. (2025) Biological Aging and Margalef Principle. AdvancesinAgingResearch, 14, 115-122. https://doi.org/10.4236/aar.2025.145009
[7]
Matsuno, K. (1978) Evolution of Dissipative System: A Theoretical Basis of Margalef’s Principle on Ecosystem. JournalofTheoreticalBiology, 70, 23-31. https://doi.org/10.1016/0022-5193(78)90300-4
[8]
Margalef, R. (1995) Ecology, between Real Life and Theoretical Physics. American Scientific, No. 225, 66-73.
Susskind, L. (1995) The World as a Hologram. JournalofMathematicalPhysics, 36, 6377-6396. https://doi.org/10.1063/1.531249
[11]
Bekenstein, J.D. (1973) Black Holes and Entropy. PhysicalReviewD, 7, 2333-2346. https://doi.org/10.1103/physrevd.7.2333
[12]
Solis Gamboa, D.A. (2010) El papel de la curvatura gaussiana en las transiciones orden-caos [The Role of Gaussian Curvature in Order-Chaos Transitions]. Facultad de Matematicas, Universidad Autonoma de Yucatan, Mérida. https://www.uaq.mx/ingenieria/publicaciones/eure-uaq/n16/en1606.pdf
[13]
Jorge, B. and Sebastián, S. (2023) General Determinants of Aging: The Size and Geometry of Living Beings. ArchiveofGerontologyandGeriatricsResearch, 8, 9-14. https://doi.org/10.17352/aggr.000033
[14]
Corry, L. (2009) Hermann Minkowski, Relativity and the Axiomatic Approach to Physics. In: Petkov, V., Ed., MinkowskiSpacetime: AHundredYearsLater, Springer, 3-41. https://doi.org/10.1007/978-90-481-3475-5_1
[15]
Weinstein, G. (2012) Max Born, Albert Einstein and Hermann Minkowski’s Space-Time Formalism of Special Relativity. arXiv: 1210.6929.
[16]
Kleiber, M. (1947) Body Size and Metabolic Rate. PhysiologicalReviews, 27, 511-541. https://doi.org/10.1152/physrev.1947.27.4.511
[17]
West, G.B., Brown, J.H. and Enquist, B.J. (1997) A General Model for the Origin of Allometric Scaling Laws in Biology. Science, 276, 122-126. https://doi.org/10.1126/science.276.5309.122
[18]
Brown, J.H., Gillooly, J.F., Allen, A.P., Savage, V.M. and West, G.B. (2004) Toward a Metabolic Theory of Ecology. Ecology, 85, 1771-1789. https://doi.org/10.1890/03-9000
[19]
Bailin, D. and Love, A. (1987) Kaluza-Klein Theories. ReportsonProgressinPhysics, 50, 1087-1170. https://doi.org/10.1088/0034-4885/50/9/001
[20]
Duff, M.J. (1994) Kaluza-Klein Theory in Perspective. Proceeding of the Symposium: The Oskar Klein Centenary, Stockholm, 19-21 September 1994, 22-35.
[21]
Paredes, J.D.R. (2025) Principle of Least Action and Evolution. OpenJournalofBiophysics, 15, 33-48. https://doi.org/10.4236/ojbiphy.2025.153003
[22]
Hanc, J. and Taylor, E.F. (2004) From Conservation of Energy to the Principle of Least Action: A Story Line. AmericanJournalofPhysics, 72, 514-521. https://doi.org/10.1119/1.1645282
[23]
Landauer, R. (1961) Irreversibility and Heat Generation in the Computing Process. IBMJournalofResearchandDevelopment, 5, 183-191. https://doi.org/10.1147/rd.53.0183
[24]
Shannon, C.E. (1948) A Mathematical Theory of Communication. BellSystemTechnicalJournal, 27, 379-423. https://doi.org/10.1002/j.1538-7305.1948.tb01338.x
[25]
Adami, C. (2016) What Is Information? Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374, Article ID: 20150230. https://doi.org/10.1098/rsta.2015.0230
[26]
Wolpert, D.H. (2019) The Stochastic Thermodynamics of Computation. JournalofPhysicsA: MathematicalandTheoretical, 52, Article ID: 193001. https://doi.org/10.1088/1751-8121/ab0850
[27]
Kempes, C.P., Wolpert, D., Cohen, Z. and Pérez-Mercader, J. (2017) The Thermodynamic Efficiency of Computations Made in Cells across the Range of Life. PhilosophicalTransactionsoftheRoyalSocietyA: Mathematical, PhysicalandEngineeringSciences, 375, Article ID: 20160343. https://doi.org/10.1098/rsta.2016.0343
[28]
Scmidt, B. (2000) Einstein’s Field Equations and Their Physical Implications: Selected Essays in Honour of Jürgen Ehlers. Springer.
[29]
Fabris, J. and Kerner, R. (2025) A Five-Dimensional Kaluza-Klein Approach to Unimodular Gravity. arXiv: 2509.24578v1.
[30]
Maestrini, D., Abler, D., Adhikarla, V., Armenian, S., Branciamore, S., Carlesso, N., et al. (2018) Aging in a Relativistic Biological Space-Time. FrontiersinCellandDevelopmentalBiology, 6, Article 55. https://doi.org/10.3389/fcell.2018.00055