The Number Theory comes back as the heart of unified Science, in a Computing Cosmos using the bases 2;3;5;7 whose two symmetric combinations explain the main lepton mass ratios. The corresponding Holic Principle induces a symmetry between the Newton and Planck constants which confirm the Permanent Sweeping Holography Bang Cosmology, with invariant baryon density 3/10, the dark baryons being dephased matter-antimatter oscillation. This implies the DNA bi-codon mean isotopic mass, confirming to 0.1 ppm the electron-based Topological Axis, whose terminal boson is the base 2 c-observable Universe in the base 3 Cosmos. The physical parameters involve the Euler idoneal numbers and the special Fermat primes of Wieferich (bases 2) and Mirimanoff (base 3). The prime numbers and crystallographic symmetries are related to the 4-fold structure of the DNA bi-codon. The forgotten Eddington’s proton-tau symmetry is rehabilitated, renewing the supersymmetry quest. This excludes the concepts of Multiverse, Continuum, Infinity, Locality and Zero-mass Particle, leading to stringent predictions in Cosmology, Particle Physics and Biology.
KeywordsNumber theoryOptimal Computation PrincipleHolic PrincipleCosmologySupersymmetryString TheoryBit-String PhysicsCellular AutomatonDNA nucleotidesCrystallographySporadic Groups
Poincaré, H. (1912) Sur la Théorie des Quanta. Journal of Physics: Theories and Applications, 2, 5-34. https://doi.org/10.1051/jphystap:0191200200500
Poincaré, H. (1913) Dernières Pensées. Conférence à l’Université de Londres, Flammarion, Paris, 102-103.
Particle Data Group (2020) Review of Particle Physics. Progress of Theoretical and Experimental Physics, 2020, article ID: 083C01. https://doi.org/10.1093/ptep/ptaa104
Carr, B.J. and Rees, M.J. (1979) The Anthropic Principle and the Structure of the Physical World. Nature, 278, 605-612. https://doi.org/10.1038/278605a0
Sanchez, F.M., Kotov, V., Grosmann, M., Weigel, D., Veysseyre, R., Bizouard, C., Flawisky, N., Gayral, D. and Gueroult, L. (2019) Back to Cosmos. Progress in Physics, 15, 123-142.
Sanchez, F.M., Kotov, V. and Bizouard C. (2013) Towards Coherent Cosmology. Galilean Electrodynamics, 24, 63-80.
Bastin, T. and Kilmister, C.W. (1995) Combinatorial Physics. Vol. 9, World Scientific, Singapore. https://doi.org/10.1142/2703
Noyes, P. (2001) Bit-String Physics: A Finite and Discrete Approach to Natural Philosophy. Vol. 27, World Scientific, Singapore. https://doi.org/10.1142/4692
Hooft, G. (2015) The Cellular Automaton Interpretation of Quantum Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-319-41285-6
Eddington, A, (1949) Fundamental Theory. Cambridge University Press, Cambridge.
Alcina, C. (2013) La Secte des Nombres. Le Thèorème de Pythagore, Images des Maths, 147.
Sanchez, F.M. (1995) Holic Principle, Entelechies, Alternative Natural Philosophy Association (Cambridge), ANPA 16. Bowden K.G., 324-343.
Bondi, H. (1968) Cosmology. Cambridge University Press, Cambridge, 74.
Hoyle, F., et al. (2000) A Different Approach to Cosmology. Cambridge University Press, Cambridge, 83.
Steinhardt, P.J. (2011) The Inflation Debat: Is the Theory at the Heart of Cosmology Deeply Flawed? Scientific American, 304, 18-25.
Sakharov, A.D. (1967) Violation of CP Invariance, C Asymmetry, and Baryon Asymmetry of the Universe. JETP Letters, 5, 24-27.
Kotov, V.A. and Lyuty, V.M. (1990) The 160-min. Periodicity in the Optical and X-Ray Observations of Extragalactic Objects. Academie des Sciences, Comptes Rendus, Serie II-Mecanique, Physique, Chimie, Sciences de la Terre et de l’Univers, 310, 743-748.
Sanchez, F.M. (2006) Towards the Grand Unified Holic Theory. In: Pecker, J.-C. and Narlikar, J., Eds., Current Issues in Cosmology, Cambridge University Press, Cambridge, 257-260.
Sanchez, F.M. and Bizouard, C. (2008) Radius Invariance of the Observable Universe. Galilean Electrodynamics, 19, 39-40.
Poincaré, H. (1924) La Mécanique Nouvelle, Eds. Gauthiers-Villars, Jacques Gabay (Edition 1989).
Sanchez, F.M., Kotov, V. and Bizouard C. (2009) Evidence for a Steady-State, Holographic, Tachyonic and Super-Symmetric Cosmology. Galilean Electrodynamics, 20, 43-53.
Sanchez, F.M. (2017) A Coherent Resonant Cosmology Approach and its Implications in Micro-Physics and Biophysics. In: Tadjer A., Pavlov R., Maruani J., Brändas E., Delgado-Barrio G., Eds., Quantum Systems in Physics, Chemistry, and Biology, Vol. 30, Springer, Cham, 375-407. https://doi.org/10.1007/978-3-319-50255-7_23
Sanchez, F.M., Kotov, V. and Bizouard, C. (2011) Towards a Synthesis of Two Cosmologies: The Steady-State Flickering Universe. Journal of Cosmology, 17, 7225-7237.
Scully, M.O. and Sargent, M. (1972) The Concept of the Photon. Physics Today, 25, 38-47. https://doi.org/10.1063/1.3070771
Freedman, W., Madore, B.F., Hatt, D., Hoyt, T.J. Sung Jang, I., Beaton, R.L., et al. (2019) The Carnegie-Chicago Hubble Program. VIII. An Independent Determination of the Hubble Constant Based on the Tip of the Red Giant Branch. The Astrophysical Journal, 882, 34. https://doi.org/10.3847/1538-4357/ab2f73
Davies, P.C.W. (1993) The Accidental Universe, Cambridge University Press, Cambridge, 50.
Wieferich, A. (1909) Zum Letzten Fermat’Schen Theorem. Journal für die reine und angewandte Mathematik, 136, 293-302. https://doi.org/10.1515/crll.1909.136.293
Atiyah, M. (2018) Heidelberg Laureate Forum. https://hitsmediaweb.h-its.org/Mediasite/Play/35600dda1dec419cb4e99f706197a3951d
Nambu, H. (1952) An Empirical Mass Spectrum of Elementary Particles. Progress of Theoretical Physics, 7, 595-596. https://doi.org/10.1143/PTP.7.5.595
Taylor, J.G. (1973) The New Physics. American Journal of Physics, 41, 1381-1382. https://doi.org/10.1119/1.1987588
Mirimanof, D. (1910) Sur le Dernier Théorème de Fermat. Comptes rendus de l'Académie des Sciences, 150, 204-206.
Bekenstein, J. (1973) Black Holes and Entropy. Physical Review D, 7, 2333-2346. https://doi.org/10.1103/PhysRevD.7.2333
Koide, Y. (1982) Fermion-Boson Two-Body Model of Quarks and Leptons. Lettere al Nuovo Cimento, 34, 201-205. https://doi.org/10.1007/BF02817096
Huang, W.J., Audi, G., Kondev, F.G., Huang, W.J., Naimi, S. and Xu, X. (2017) The Ame2016 Mass Evaluation. Chinese Physics C, 41, Article ID: 03003. https://doi.org/10.1088/1674-1137/41/3/030002
Quinn, T., Speake, C., Parks, H. and Davis, R. (2014) The BIPM Measurements of the Newtonian Constant of Gravitation, G. Philosophical Transactions of the Royal Society A, 372, Article ID: 20140032. https://doi.org/10.1098/rsta.2014.0032 https://royalsocietypublishing.org/doi/10.1098/rsta.2014.0032
Seiberg, N. (2005) Emergent Spacetime. Proccedings of the 23rd Sovay Conference on Physics: The Quantum Structure of Space and Time, Brussels, 1-3 December 2005, 163-178.
Hayes, B. (2001) Third Base. American Scientist, 89, 490-494.
Wyler, A. (1969) L’Espace Symetrique du Groupe des Equations de Maxwell. Comptes Rendus de l'Académie des Sciences, 269, 743-745.
Hermann, C. (1949) Kristallographie in Räumen Beliebiger Dimensionszahl. I. Die Symmetrieoperationen. Acta Crystallographica, 2, 139-145. https://doi.org/10.1107/S0365110X49000382
Veysseyre, R., Veysseyre, H. and Weigel, D. (1992) Counting, Types and Symbols of Crystallographic Point Symmetry Operations of Space E n . Applicable Algebra in Engineering, Communication and Computing, 5, 53-70. https://doi.org/10.1007/BF01196625
Weinberger, P. (1973) Exponents of the Class Groups of Complex Quadratic Fields. Acta Arithmetica, 22, 117-124. https://doi.org/10.4064/aa-22-2-117-124
Oganessian, Y., et al. (2002) Results from the First 249Cf+48Ca Experiment (PDF). JINR Com, Dubna.
Danielou A. (1993) Traité de Musicologie Comparée. Hermann, Paris.
Montagnier, L., Aïssa, J., Ferris, S., Montagnier, J.-L. and Lavalléee, C. (2009) Electromagnetic Signals Are Produced by Aqueous Nanostructures Derived from Bacterial DNA Sequences. Interdisciplinary Sciences: Computational Life Sciences, 1, 81-90. https://doi.org/10.1007/s12539-009-0036-7
Conway, J.H. and Norton, S.P. (1979) Monstrous Moonshine. Bulletin of the London Mathematical Society, 11, 308-339. https://doi.org/10.1112/blms/11.3.308
Salingaros, N. (1985) Some Remarks on the Algebra of Eddington’s E Numbers. Foundations of Physics, 15, 683-691. https://doi.org/10.1007/BF00738296