In this paper, we hope to initiate due scientific process on some of the historical criticisms of Einstein gravitation expressed by Einstein himself as well as by others. These criticisms have remained widely ignored for one century and deal with issues such as: the apparent lack of actual, physical curvature of space due to the refraction of star-light within the Sun chromosphere; the absence of a source in the field equations due to the electromagnetic origin (rather than the charge) of gravitational masses; the lack of clear compatibility of general relativity with special relativity, interior gravitational problems, electrodynamics, quantum mechanics and grand unifications; the lack of preservation over time of numerical predictions inherent in the notion of covariance; and other basic issues. We show that a resolution of these historical doubts can be apparently achieved via the use of the novel isomathematics and related iso-Minkowskian geometry based on the embedding of gravitation in generalized isounits, with isodual images for antimatter. Thanks to half a century of prior research, we then show that the resulting new theory of gravitation, known as isogravitation, preserves indeed Einstein's historical field equations although formulated on the iso-Minkowskian geometry over isofields whose primary feature is to have null isocurvature. We then show that isogravitation allows: Einstein field equations to achieve a unified treatment of generally inhomogeneous and anisotropic, exterior and interior gravitational problems; the achievement of a clear compatibility with 20th century sciences; the achievement of time invariant numerical predictions thanks to the strict invariance (rather than covariance) of gravitation under the Lorentz-Santilli isosymmetry; the apparent achievement of a consistent representation of the gravitational field of antimatter thanks ti the isodual iso-Minkowskian geometry; the apparent achievement of a grand unification inclusive of electroweak and gravitational interactions for matter and antimatter without known causality or structural inconsistencies; and other advances. We then present, apparently for the first time, the isogravitational isoaxioms characterized by the infinite family of isotopies of special relativity axioms as uniquely characterized by the Lorentz-Santilli isosymmetry which are applicable to both exterior and interior isogravitational problems of matter with their isodual for antimatter. We finally show, also for the first time, the apparent compatibility of isogravitation with current knowledge on the equivalence principle, matter black holes and other gravitational data.
Ruggero Maria Santilli,
Rudiments of IsoGravitation for Matter and its IsoDual for AntiMatter, American Journal of Modern Physics. Special Issue: Issue I: Foundations of Hadronic Mathematics.
Vol. 4, No. 5-1,
2015, pp. 59-75.
H.A.Lorentz, Amst. Proc. Vol. 6, 809 (1904).
H.Poincare´, Compte Rendues, Paris Vol.140, 1504 (1905).
A.Einstein, Ann. Phys. Vol. 17, 891 (1905).
H.Minkowski, Nachr. Ges. Wiss. Gottingen Vol. 43, (1908).
R M. Santilli, 2014 Keynote Lectures ”IsoLinear, IsoInvariant IsoRelativity” 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
C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation, W. H. Freeman and Company (1973)
R. M. Santilli, ”Historical Insufficiencies of General Relativity and their possible resolution via Isogravitation, Galilean Electrodynamics, Vol 17 No. 3, page 43(2006) www.santilli- foundation.org/docs/Incons.GravFinalGED-I.pdf
J. V. Kadeisvili, ”Obscurantism on Ein- stein’s gravitation,” http://www.santilli- foundation.org/inconsistencies- gravitation.php
C. M. Will, ”The Confrontation between General Relativity and Experiment,” Liv- ing Rev. Relativity, Vol. 9, p. 3 (2006).
S. Beeson, Steven and J. W. Mayer, Pat- terns of Light Chasing the Spectrum from Aristotle to LEDs, Springer (2008)
R. M. Santilli, ”Experimental Verifications of IsoRedShift with Possible Absence of Universe Expansion, Big Bang, Dark Matter, and Dark Energy,” The Open Astronomy Journal 3, 124 (2010), http://www.santilli- foundation.org/docs/Santilli- isoredshift.pdf
R. M. Santilli, ”Experimental Verification of IsoRedShift and its Cosmological Implications,” AIP Proceedings Vol. 1281, pp. 882-885 (2010)http://www.santilli- foundation.org/docs/Isoredshift-Letter.pdf
G. West and G. Amato, ”Experimental Confirmation of Santilli’s IsoRedShift and IsoBlueShift,” Journal of Computational Methods in Sciences and Engineering, 12, 169 (2012),http://www.santilli- foundation.org/docs/Confirmation-IRS-IBS.pdf
R. M. Santilli, G. West and G. Amato. ”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, 12, 165 (2012) http://www.santilli- foundation.org/docs/Confirmation-sun-IRS.pdf
H. Ahmar, G. Amato, J. V. Kadeisvili, J. Manuel, G. West, and O. Zogorodnia, ”Additional experimental confirmations of Santilli’s IsoRedShift and the conse- quential expected absence of universe expansion,” Journal of Computational Methods in Sciences and Engineering, 13, 321 (2013),http://www.santilli- foundation.org/docs/IRS-confirmations- 212.pdf
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.
P. Freud, Ann. Math. 40 (2), 417 (1939)
H. Rund, Algebras, Groups and Geome- tries Vol. 18, 267 (1991).
R. M. Santilli, ”Lie-admissible invari- ant representation of irreversibility for matter and antimatter at the classical and operator levels,” Nuovo Cimento B bf 121, 443 (2006), http://www.santilli- foundation.org/docs/Lie-admiss-NCB-I.pdf
M. Santilli, Foundations of Theoretical Mechanics, Volume I (1978) [20a], and Volume II (1982) [20b], Springer-Verlag, http://www.santilli- foundation.org/docs/Santilli-209.pdf http://www.santilli- foundation.org/docs/santilli-69.pdf
R. M. Santilli, ”Isonumbers and Genon- umbers of Dimensions 1, 2, 4, 8, their Isoduals and Pseudoduals, and ”Hidden Numbers” of Dimension 3, 5, 6, 7,” Algebras, Groups and Geometries Vol. 10, 273 (1993), http://www.santilli- foundation.org/docs/Santilli-34.pdf
R. M. Santilli, ”Nonlocal-Integral Iso- topies of Differential Calculus, Mechanics and Geometries,” in Isotopies of Contem- porary Mathematical Structures, P. Vetro Editor, Rendiconti Circolo Matematico Palermo, Suppl. Vol. 42, 7-82 (1996), http://www.santilli- foundation.org/docs/Santilli-37.pdf
R. M. Santilli, Elements of Hadronic Mechanics, Vol. I (1995) [23a], Vol. II 91995) [23b], Academy of Sciences, Kiev, available in free pdf downloads from, http://www.santilli- foundation.org/docs/Santilli-300.pdf http://www.santilli- foundation.org/docs/Santilli-301.pdf
R. M. Falcon Ganfornina and J. Nunez Valdes, Founsations of Santilli Isotopies, original verison in Spanish, International Academic Press (2001), english translations, Algebras, Groups and Geometries Vol. 32, pages 135-308 (2015),http://www.i-b-r.org/docs/Aversa-translation.pdf
S. Georgiev, Foundations of the IsoDiffer- ential Calcuilus, Volumes I, II, III, Nova Scientific Publishers (2014 and 2015).
R. M. Santilli, ”Isotopic quantization of gravity and its universal isopoincare’ symmetry” in the Proceedings of ”The Seventh Marcel Grossmann Meeting in Gravitation, SLAC 1992, R. T. Jantzen, G. M. Keiser and R. Ruffini, Editors, World Scientific Publishers pages 500-505(1994), http://www.santilli- foundation.org/docs/Santilli-120.pdf
R. M. Santilli, ”Lie-isotopic Lifting of Spe- cial Relativity for Extended Deformable Particles,” Lettere Nuovo Cimento Vol. 37, 545 (1983), http://www.santilli- foundation.org/docs/Santilli-50.pdf
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
R. M. Santilli, ”Isominkowskian Geom- etry for the Gravitational Treatment of Matter and its Isodual for Antimatter,” Intern. J. Modern Phys. D Vol. 7, 351 (1998), http://www.santilli- foundation.org/docs/Santilli-35.pdf
R. M. Santilli, ”Isotopies of Lie symme- tries, I and II” Hadronic J. 8, 36 (1985), http://www.santilli- foundation.org/docs/santilli-65.pdf
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
R. M. Santilli, ”Isorepresentation of the Lie-isotopic SU(2) Algebra with Ap- plication to Nuclear Physics and Local Realism,” Acta Applicandae Mathemati- cae Vol. 50, 177 (1998), http://www.santilli- foundation.org/docs/Santilli-27.pdf, see also R. M. Santilli, ”Nonlinear, Nonlocal and Noncanonical Isotopirs of the Poincare’ Symmetry,” Moscow Phys. Soc. Vol. 3, 255 (1993), http://www.santilli- foundation.org/docs/Santilli-40.pdf
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
J. V. Kadeisvili, ”Direct universality of the Lorentz-Poincare’-Santilli isosymme- try for extended-deformable particles, arbitrary speeds of light and all possible spacetimes” in Photons: Old problems in Light of New Ideas, V. V. Dvoeglazov Editor Nova Science (2000, http://www.santilli- foundation.org/docs/Santilli-25.pdf
A. K. Aringazin and K. M. Aringazin, ”Universality of Santilli’s iso-Minkowskian geometry” in Frontiers of Fundamental Physics, M. Barone and F. Selleri, Editors Plenum 91995), http://www.santilli- foundation.org/docs/Santilli-29.pdf
J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge Univer- sity Press (1987).
R. M. Santilli, Isotopic Generalizations of Galilei and Einstein Relativities, Vols. I [37a] and II [37b] (1991), International Academic Press http://www.santilli- foundation.org/docs/Santilli-01.pdf http://www.santilli- foundation.org/docs/Santilli-61.pdf
R. M. Santilli, ”Unification of gravitation and electroweak interactions” in the proceedings of the Eight Marcel Gross- mann Meeting in Gravitation, Israel 1997, T. Piran and R. Ruffini, Editors, World Scientific, pages 473-475 (1999), http://www.santilli- foundation.org/docs/Santilli-137.pdf
R. M. Santilli, ”Isotopic grand unification with the inclusion of gravity,” Found. Phys. Letters 10, 307 (1997), http://www.santilli- foundation.org/docs/Santilli-04.pdf
R. M. Santilli, Isodual Theory of Antimat- ter with Application to Antigravity, Grand Unification and the Spacetime Machine, Springer 2001, http://www.santilli-foundation.org/docs/santilli-79.pdf
I. Gandzha and J. Kadeisvili, New Sciences for a New Era: Mathemati- cal, Physical and Chemical Discoveries of Ruggero Maria Santilli, Sankata Printing Press, Nepal (2011), http://www.santilli- foundation.org/docs/RMS.pdf.