Richard Anderson

Trustee, The R. M. Santilli Foundation

The Santilli Foundation has received several requests for refereed publications by Prof. R. M. Santilli on: his isotopies of special relativity (today known as Santilli isorelativity); the isotopies of the underlying Lorentz-Poincare symmetry (today known as the Lorentz-Poincare'-Santilli isosymmetry); and the isotopies of the underlying Minkowskian geometry (today known as the Minkowski-Santilli isogeometry), that includes as particular cases the isotopies of Riemann, Finsler, etc. plus much more. In fact, the latetr isogeometry is the first to represent realistically "interior" gravitational problems with the most general conceivable functional dependence local variables.

A selected list of Prof. Santilli refereed publications in the above fields is available in the memoir
R. M. Santilli, "Mathematical Formulation, Theoretical Interpretation and Experimental Verification of IsoRelativity for Interior Dynamical problems of Matter and Antimatter," contributed paper to the 2011 San Marino Workshop in Astrophysics and Cosmology for Matter and Antimatter, to appear. Preliminary version available from

Prof. Santilli first worked out the isotopies of 20th century applied mathematics and of the Lie theory when he was at MIT and then at Harvard University from the mid 1970s to the early 1980s and presented the results in the Springer-Verlag monographs

R. M. Santilli, Foundation of Theoretical Mechanics, Volume I (1978), and Volume II (1982), Springer-Verlag, Heidelberg, Germany,

Following these necessary foundations, Prof. Santilli first published the classical isotopies of special relativity and the Lorentz symmetry in Il Nuovo Cimento of 1983 and then the operator counterpart also in Il Nuovo Cimento of 1983, which two papers are the historical references in the birth of the classical and operator version of isorelativity

R. M. Santilli, "Lie-isotopic Lifting of Special Relativity for Extended Deformable Particles," Lettere Nuovo Cimento Vol. 37, 545 (1983),

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),

Subsequently, Prof. Santilli studies, individually, the isotopies of each and every aspect of special relativity and of the Lorentz-Poincare symmetry, including the isotopies of rotation, SU(3), Poincare', spinorial covering of Poincare';, etc. in a variety of papers among which you should quote

R. M. Santilli, "Isotopic Lifting of the SU(2) Symmetry with Applications to Nuclear Physics," JINR rapid Comm. Vol. 6. 24-38 (1993),

R. M. Santilli, "Nonlinear, Nonlocal and Noncanonical isotopies of the Poincare' Symmetry," Moscow Phys. Soc. Vol. 3, 255 (1993),

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),

The isotopies of the spinorial covering of the Poincare' symmetry were first published in the below quoted paper jointly with the isotopies of the Dirac equations. This paper is also historical since it achieved the first known representation of "all" characteristic of the neutron in its synthesis from a proton and an electron inside a star. This paper also established the necessity that the maximal causal speed inside the proton is C = 1.56 c as a necessary condition to obtain the numerically exact value of the anomalous magnetic moment of the neutron (the value C = 1.56 c being independently confined by the fitting of the data on the Bose-Einstein correlation and other fitting of particle data)

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,

The all important isotopies of the Minkowski geometry both matter and antimatter were published in the paper that remain the central reference on isogeometries

R. M. Santilli, "Isominkowskian Geometry for the Gravitational Treatment of Matter and its Isodual for Antimatter," Intern. J. Modern Phys. D {\bf 7}, 351 (1998),

The isoaxioms specialized to the interior of the scattering region were presented in the recent paper

"Nonunitary Lie-isotopic and Lie-admissible scattering theories of hadronic mechanics," Papers II and V, by R. M. Santilli and A. O. E. Animalu, in the Proceedings of the Third International Conference on the Lie-Admissible Treatment of Irreversible Processes, C. Corda, Editor, Kathmandu University (2011) pages 163-177

The first comprehensive refereed presentation of isorelativity was provided by prof. Santilli in the two monographs of 1991 that contains all the original predictions of IsoRedShift, IsoBlueShift, NoIsoShift,. IRS of the Sun at Sunset, etc, nowadays all experimentally confirmed

R. M. Santilli, Isotopic Generalizations of Galilei and Einstein Relativities, Vols. I and II (1991), International Academic Press

The best refereed monographs by Prof. Santilli on his isorelativity and the underlying universal Lorentz-Poincare'-Santilli isosymmetry is given by the 1995 works that remains the most comprehensive treatment to date, except for minor upgrades specifically dictated by new experimental evdience

R. M. Santilli, Elements of Hadronic Mechanics.Volumes I and II Ukraine Academy of Sciences, Kiev, second edition 1995,

An outline of experimental verifications of isorelativity in classical mechanics, particle physics, nuclear physics, superconductivity, chemistry, biology and astrophysics up to 2008 is available in the volumes below with an upgrade to 2011, including all advances in the San Marino meeting is available in the contributed paper for the proceedings

R. M. Santilli, Hadronic Mathematics, Mechanics and Chemistry, Volumes I, II, III, IV and V International Academic Press 2008, available as free downloads from

Einstein special and general relativities have no mean whatsoever in representing "neutral" antimatter, thus generating the large unknown scientific imbalance of the 20th century between matter and antimatter. the first known axiomatically correct formulation of antimatter, which is experimentally verified by all existing classical and operator knowledge was done in a separate large number of refereed paper and summarized in the monograph with Springer

R. M. Santilli, Isodual Theory of Antimatter with Application to Antigravity, Grand Unification and the Spacetime Machine, Springer 2001

An excellent general summary of prof. Santilli's discoveries, not only for the Lie-isotopic case indicated above, but also for the covering lie-admissible formulations for irreversible systems is the refereed monograph by I. Gandzha and J. Kadeisvili

I. Gandzha and J Kadeisvili, New Sciences for a New Era: Mathematical, Physical and Chemical Discoveries of Ruggero Maria Santilli Sankata Printing Press, Nepal (2011),

Please do not hesitate to contact me for any additional information