Compatibility of Arbitrary Speeds with Special Relativity Axioms for Interior Dynamical Problems
American Journal of Modern Physics
Volume 5, Issue 2-1, March 2016, Pages: 143-160
Received: Sep. 2, 2015; Accepted: Sep. 2, 2015; Published: Jun. 1, 2016
Views 3663      Downloads 116
Author
Ruggero Maria Santilli, Thunder Energies Corporation, Tarpon Springs, Florida, U.S.A.
Article Tools
Follow on us
Abstract
In this paper, we outline the rapidly growing literature on arbitrary speeds within physical media and show that, contrary to a widespread belief for one century, arbitrary speeds for interior dynamical problems are compatible with the abstract axioms of special relativity, provided that they are realized with the covering isomathematics specifically developed for the conditions considered. We finally point out a number of intriguing implications in cosmology, particle physics, nuclear physics, chemistry, gravitation, and mathematical models of interstellar travel.
Keywords
Special Relativity, Superluminal Speeds, Isorelativity
To cite this article
Ruggero Maria Santilli, Compatibility of Arbitrary Speeds with Special Relativity Axioms for Interior Dynamical Problems, American Journal of Modern Physics. Special Issue: Issue II: Foundations of Hadronic Mechanics . Vol. 5, No. 2-1, 2016, pp. 143-160. doi: 10.11648/j.ajmp.2016050201.19
References
[1]
L. V. Lorentz, Philos. Mag. 34, 287 (1867).
[2]
H. Poincaré, Archives Nerland. des Sciences Exactes et Naturelles, 2, vol. 5, 252-278 (1900).
[3]
A. Einstein, Ann. Phys. (Leipzig) 17, 891 (1905).
[4]
E. Hubble, Proceedings of the National Academy of Sciences of the United States of America,, 168 (1929).
[5]
F. Zwicky, Proceedings of the National Academy of Sciences of the United States of America,, 773 (1929).
[6]
M. J. Rees, Nature, 468 (1966).
[7]
A. B. Whiting, "The expansion of space: free-particle motion and the cosmological redshift," The Observatory, 174 (2004) http://adsabs.harvard.edu/abs/2004Obs...124174W
[8]
P. Riess et al. Astronomical Journal, 1009 [1998); S. Perlmutter et al. Astrophysical Journal, 565 (1999).
[9]
R. M. Santilli, “Embedding of Lie algebras in Lie-admissible structures," Nuovo Cimento, 570 (1967), available in free download from the link http://www.santilli-foundation.org/docs/Santilli-54.pdf
[10]
R. M. Santilli, “Can strong interactions accelerate particles faster than the speed of light?" Lettere Nuovo Cimento, 145 (1982) www.santilli-foundation.org/docs/Santilli-102.pdf
[11]
R. M. Santilli, “Isonumbers and genonumbers of dimension 1, 2, 4, 8, their isoduals and pseudoduals, and hidden numbers of dimension 3, 5, 6, 7,Ó Algebras, Groups and Geometries Vol. 10, 273-321 (1993) http://www.santilli-foundation.org/docs/Santilli-34.pdf
[12]
R. M. Santilli, “Nonlocal-Integral Isotopies of Differential Calculus, Mechanics and Geometries," in Isotopies of Contemporary Mathematical Structures, P. Vetro Editor, Rendiconti Circolo Matematico Palermo, Suppl. Vol. 42, 7-82 (1996), http://www.santilli-foundation.org/docs/Santilli-37.pdf
[13]
R. M. Santilli, “Lie-admissible invariant representation of irreversibility for matter and antimatter at the classical and operator levels," Nuovo Cimento B bf 121, 443 (2006), available in free pdf download from the link http://www.santilli-foundation.org/docs/Lie-admiss-NCB-I.pdf
[14]
J. V. Kadeisvili,“The Rutherford-Santilli Neutron," Hadronic J. 2008; 31, 1, http://www.i-b-r.org/Rutherford-Santilli-II.pdf available in html version in the website http://www.i-b-r.org/Rutherford-Santilli-neutron.htm
[15]
R. M. Santilli, Foundation of Theoretical Mechanics, Volume I (1978) [15a], and Volume II (1982) [15b], Springer-Verlag, Heidelberg, Germany, http://www.santilli-foundation.org/docs/Santilli-209.pdf http://www.santilli-foundation.org/docs/santilli-69.pdf
[16]
R. M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Volumes I [16a], II [16b], III [16c], IV [16d] and V [16e] International Academic Press 2008, http://www.i-b-r.org/Hadronic-Mechanics.htm
[17]
E. Wall, The Physics of Tachions, Hadronic Press (1995).
[18]
A. Enders and G. Nimtz, J- Phys.I (France), 1693-1698 (1992)
[19]
G. Nimtz, Foundations in Physics,, 1193-1199 (2011)
[20]
D. Sokolovski and E. Akhmatskaya, Phys. Rerv. A, 052110 (2013).
[21]
A. Ereditato et al., "Measurement of the neutrino velocity with the OPERA detector in the CNGS beam," CERN preprint, http://www.santilli-foundation.org/docs/OPERA-experiment.pdf
[22]
N. Yu et al., “Measurement of the Velocity of Neutrinos from the CNGS Beam with the Large Volume Detector," Phys. Rev. Lett. v.109, 070801(2012) [70d]
[23]
R. M. Santilli, "Lie-isotopic Lifting of Special Relativity for Extended Deformable Particles," Lettere Nuovo Cimento, 545 (1983), http://www.santilli-foundation.org/docs/Santilli-50.pdf
[24]
R. M. Santilli, "Lie-isotopic Lifting of Unitary Symmetries and of Wigner’s Theorem for Extended and Deformable Particles," Lettere Nuovo Cimento Vol. 38, 509 (1983), http://www.santilli-foundation.org/docs/Santilli-51.pdf
[25]
R. M. Santilli, ”Isotopies of Lie Symmetries," I (basic theory) and II (isotopies of the rotational symmetry), Hadronic J. Vol. 8, 36 and 85 (1985), http://www.santilli-foundation.org/docs/santilli-65.pdf
[26]
R. M. Santilli, "Isotopic Lifting of the SU(2) Symmetry with Applications to Nuclear Physics," JINR rapid Comm. Vol. 6. 24-38 (1993), http://www.santilli-foundation.org/docs/Santilli-19.pdf.
[27]
R. M. Santilli, "Nonlinear, Nonlocal and Noncanonical Isotopies of the Poincare’ Symmetry," Moscow Phys. Soc. Vol. 3, 255 (1993), http://www.santilli-foundation.org/docs/Santilli-40.pdf
[28]
R. M. Santilli, "Recent theoretical and experimental evidence on the synthesis of the neutron," Communication of the JINR, Dubna, Russia, No. E4-93-252 (1993), published in the Chinese J. System Eng. and Electr. Vol. 6, 177 (1995), http://www.santilli-foundation.org/docs/Santilli-18.pdf
[29]
R. M. Santilli, "Isorepresentation of the Lie-isotopic SU(2) Algebra with Application to Nuclear Physics and Local Realism," Acta Applicandae Mathematicae Vol. 50, 177 (1998), http://www.santilli-foundation.org/docs/Santilli-27.pdf
[30]
R. M. Santilli, "Isominkowskian Geometry for the Gravitational Treatment of Matter and its Isodual for Antimatter," Intern. J. Modern Phys. D, 351 (1998), http://www.santilli-foundation.org/docs/Santilli-35.pdf
[31]
J. V. Kadeisvili, "Direct universality of the Lorentz-Poincare’-Santilli isosymmetry for extended-deformable particles, arbitrary speeds of light and all possible space-times" in Photons: Old problems in Light of New Ideas, V. V. Dvoeglazov Editor Nova Science (2000, available as free download from http://www.santilli-foundation.org/docs/Santilli-25.pdf
[32]
A. K. Aringazin and K. M. Aringazin, Üniversality of Santilli’s iso-Minkowskian geometry" in Frontiers of Fundamental Physics, M. Barone and F. Selleri, Editors Plenum 91995), available as free download from http://www.santilli-foundation.org/docs/Santilli-29.pdf
[33]
R. M. Santilli, Isotopic Generalizations of Galilei and Einstein Relativities, Vols. I [14a] and II [14b] (1991), International Academic Press http://www.santilli-foundation.org/docs/Santilli-01.pdf http://www.santilli-foundation.org/docs/Santilli-61.pdf
[34]
R. M. Santilli, Elements of Hadronic Mechanics, Vol. I (1995) [15a], Vol. II 91995) [15b] Academy of Sciences, Kiev, http://www.santilli-foundation.org/docs/Santilli-300.pdf http://www.santilli-foundation.org/docs/Santilli-301.pdf
[35]
A. K. Aringazin, A. Jannussis, F. Lopez, M. Nishioka and B. Veljanosky, Santilli’s Lie-Isotopic Generalization of Galilei and Einstein Relativities, Kostakaris Publishers, Athens, Greece (1991), http://www.santilli-foundation.org/docs/Santilli-108.pdf
[36]
J. Lôhmus, E. Paal, and L. Sorgsepp, Nonassociative Algebras in Physics Hadronic Press, Palm Harbor, Florida (1994), http://www.santilli-foundation.org/docs/Lohmus.pdf
[37]
D. S. Sourlas and G. T. Tsagas, Mathematical Foundation of the Lie-Santilli Theory, Ukraine Academy of Sciences (1993), http://www.santilli-foundation.org/docs/santilli-70.pdf
[38]
R. M. Santilli, "Nonlocal-Integral Isotopies of Differential Calculus, Mechanics and Geometries," in Isotopies of Contemporary Mathematical Structures, P. Vetro Editor, Rendiconti Circolo Matematico Palermo, Suppl. Vol. 42, 7-82 (1996), http://www.santilli-foundation.org/docs/Santilli-37.pdf
[39]
J. V. Kadeisvili, Santilli’s Isotopies of Contemporary Algebras, Geometries and Relativities, Ukraine Academy of Sciences, Second edition (1997), http://www.santilli-foundation.org/docs/Santilli-60.pdf.
[40]
Raul M. Falcon Ganfornina and Juan Nunez Valdes, Fundamentos de la Isoteoria de Lie-Santilli, International Academic Press (2001), http://www.i-b-r.org/docs/spanish.pdf
[41]
A. K. Aringazin, “Studies on the lie-Santilli IsoTheory with Unit of general Form," Algebras, Groups and Geometries, 299 (2011), http://www.santilli-foundation.org/docs/Aringazin-2012.pdf
[42]
I. Gandzha and J. Kadeisvili, New Sciences for a New Era: The Mathematical, Physical and Chemical Discoveries of Ruggero Maria Santilli, Sankata Printing Press, Nepal (2011), http://www.santilli-foundation.org/santilli-scientific-discoveries.html
[43]
R. M. Santilli, "Experimental Verifications of IsoRedShift with Possible Absence of Universe Expansion, Big Bang, Dark Matter, and Dark Energy," The Open Astronomy Journal, 124 (2010), http://www.santilli-foundation.org/docs/Santilli-isoredshift.pdf
[44]
R. M. Santilli, G. Amato and G. West, "Experimental Confirmation of the IsoRedShift at Sun at Sunset and Sunrise with Consequential Absence of Universe Expansion and Related Conjectures," Journal of Computational Methods in Sciences and Engineering, Vol. 12, pages 165-188 (2012). http://www.santilli-foundation.org/docs/Confirmation-sun-IRS.pdf
[45]
H. Ahmar, G. Amato, J. V. Kadeisvili, J. Manuel, G. West, and O. Zogorodnia, “Additional experimental confirmations of Santilli IsoRedShift and the consequential absence of the universe expansion," Journal of Computational Methods in Science and Engineering,, 321 (2013), http://www.santilli-foundation.org/docs/IRS-confirmations-212.pdf
[46]
R. M. Santilli, "Isominkowskian representation of cosmological redshifts and the internal redshift/blueshift of quasars," contributed paper in Frontiers of Fundamental Physics, M. Barone and F. Selleri, Editors, Plenum Press (1994) http://www.santilli-foundation.org/docs/ire-obd-1994.pdf
[47]
R. M. Santilli,,"Representation of galactic dynamics via isoshifts without universe expansion, dark matter and dark energy," American Journal of Modern Physics Vol. 4, pages 26-43 (2015) http://www.thunder-energies.com/docs/dark-matter-2015.pdf
[48]
R. Folman and E. Recami, "On the phenomenology of tachyon radiation", Found. Phys. Lett.,, , 2 (1995).
[49]
E. Recami, M. Zamboni-Rached, C. A. Dartora, "Localized X-shaped field generated by a superluminal electric charge," Phys. Rev. E, 027602 (2004).
[50]
R. Anderson, "Outline of Hadronic Mathematics, Mechanics and Chemistry as Conceived by R. M. Santilli," American Journal of Modern Physics Vol. 4(5), pages 1-16 (2015) http://www.santilli-foundation.org/docs/hadronic-math-mec-chem.pdf
[51]
R. M. Santilli. Isotopic Generalization of Galileo and Einstein Relativities. Hadronic Press 1991, Volumes I [3a] and II [3b], http://www.santilli-foundation.org/docs/Santilli-01.pdf http://www.santilli-foundation.org/docs/Santilli-35.pdf
[52]
R. M. Santilli, "Isorelativity," invited plenary lectures (2014) http://www.world-lecture-series.org/isorelativity-2014-i http://www.world-lecture-series.org/isorelativity-2014-ii http://www.world-lecture-series.org/isorelativity-2014-iii.
[53]
R. M. Santilli, "Isorelativity for matter and its isodual for antimatter," invited paper, American Journal of Modern Physics, kin press (2015)
[54]
R. M. Santilli, "Rudiments of isogravitation for matter and its isodual for antimatter," American Journal of Modern Physics Vol. 4(5), pages 59-75 (2015) http://www.santilli-foundation.org/docs/isogravitation.pdf
[55]
R. M. Santilli, Isodual Theory of Antimatter with Applications to Antigravity, Grand Unifications and Cosmology, Springer (2006).
[56]
R. M. Santilli, "An intriguing legacy of Einstein, Fermi, Jordan and others: The possible invalidation of quark conjectures," Found. Phys. Vol. 11, 384-472 (1981) http://www.santilli-foundation.org/docs/Santilli-36.pdf
[57]
Yu. Arestov, R. M. Santilli and V. Solovianov, "Experimental evidence on the isominkowskian character of the hadronic structure," Foundation of Physics Letters Vol. 11, pages 483-492 (1998) http://www.santilli-foundation.org/docs/Santilli-52.pdf
[58]
R. M. Santilli, "The etherino and/or the neutrino hypothesis," Foundation of Physics, 670 (2007). http://www.santilli-foundation.org/docs/EtherinoFoundPhys.pdf
[59]
R. M. Santilli, "A quantitative isotopic representation of the deuteron magnetic moment," in Proceedings of the International Symposium ’Dubna Deuteron-93, Joint Institute for Nuclear Research, Dubna, Russia (1994), http://www.santilli-foundation.org/docs/Santilli-134.pdf
[60]
R. M. Santilli, "Nuclear realization of hadronic mechanics and the exact representation of nuclear magnetic moments," Intern. J. of Phys. Vol. 4, 1-70 (1998) http://www.santilli-foundation.org/docs/Santilli-07.pdf
[61]
A. A. Bhalekar and R. M. Santilli, "Exact and invariant representation of nuclear magnetic moments and spins according to hadronic mechanics,": invited paper, to appear (2015).
[62]
Thunder Energies Corporation, websiote, http://www.thunder-energes.com
[63]
R. M. Santilli, Foundations of Hadronic Chemistry, with Applications to New Clean Energies and Fuels, Kluwer Academic Publishers (2001), http: //www.santilli-foundation.org/docs/Santilli-113.pdf Russian translation http://i-b-r.org/docs/Santilli-Hadronic-Chemistry.pdf
[64]
C. P. Pandhurnekar,"Advances on Alternative Fuels with Santilli Magnecular Structure," International Journal of Alternative Fuels, ISSN: 2051-5987, Vol.17, 2014, http://www.santilli-foundation.org/docs/Magnegas-2015.pdf
[65]
R. M. Santilli, Isotopic, Genotopic and Hyperstructural Methods in Theoretical Biology, Ukraine Academy of Sciences, Kiev (1994) http://www.santilli-foundation.org/docs/santilli-67.pdf
[66]
R. M. Santilli, "Partons and Gravitation: some Puzzling Questions," (MIT) Annals of Physics, Vol. 83, 108-157 (1974), http://www.santilli-foundation.org/docs/Santilli-14.pdf.
[67]
O. M. P. Bilanik, V. K. Deshpande, and E. VC. G. Sudareshan, "Meta" Relativity, Americamn Journal of Physics, Vol. 30, pagez 718-723 (1962), http://www.santilli-foundation.org/docs/1962-006.pdf.
[68]
A. O. Barut, Electrodynamics and Classical Theory of Fields and Particles (Dover, Nova Iorque, 1964), Classics of Science and Mathematics.
[69]
T. G. Pavlopoulos, "Are we observing Lorentz viollagion in gamma rays bursts?, Physics letters B, 625, 13-18 (2005), http://www.santilli-foundation.org/docs/Extended-SR.pdf
[70]
George P. Shpenkov, "On the Superluminal Speed in View of the Dialectical Model of the Universe," Infinite Energy, Vol. 77, pages 1-6, (2008); http://www.santilli-foundation.org/docs/Shpenkov.pdf
[71]
D. M Bilaniuk and E. C. O. Sudarshan, "Particles beyond the light barrier," Physics Today, May 1969 http://www.santilli-foundation.org/docs/Sudarshan.pdf
[72]
Mark McCandlish, Zero Point, Documentary https://vimeo.com/133170463
[73]
R. M. Santilli, "Why space is rigid," (in Italian)Il Pungolo Verde, 1957 http://www.santilli-foundation.org/docs/Santilli-49.pdf
[74]
R. M. Santilli, "Antigravity, Hadronic Journal, 257-284 (1994) http://www.santilli-foundation.org/docs/Santilli-13.pdf
[75]
B. Davvaz, R. M. Santilli and T. Vougiouklis, Studies Of Multi-Valued Hyperstructures For The characterization Of Matter-Antimatter Systems And Their Extension Proceedings of the Third International Conference on the Lie-Admissible Treatment of Irreversible Processes, C. Corda, Editor, Kathmandu University (2011), pages 45-57 http://www.santilli-foundation.org/docs/Davvaz-Sant-Vou.pdf.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186