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VIA IRREVERSIBLE PROCESSES

**MAIN REFERENCES ON THE 'COMPLETION' OF QUANTUM MEC
HANICS INTO THE IRREVERSIBLE BRANCH OF HADRONIC MECHANICS**

[1] First embedding on record of the time reversal invariant Lie theory into Santilli's irreversible Lie-admissible theory.

R. M. Santilli, ``Embedding of Lie-algebras into Lie-admissible algebras,"

Nuovo Cimento Vol. 51, p. 570 (1967),

http://www.santilli-foundation.org/docs/Santilli-54.pd

[2] First proposal for Lie-admissible symmetries and non-conservation laws

R. M. Santilli, "On a possible Lie-admissible covering of Galilei's
relativity
in Newtonian mechanics for nonconservative and Galilei
form-non-invariant systems,"

Hadronic J. Vol. 1, 223-423 (1978),

http://www.santilli-foundation.org/docs/Santilli-58.pdf

[3] First proposal for irreversible coverings of Schroedinger and Heisenberg equations

R. M. Santilli, "Need of subjecting to an experimental verification the validity within a hadron of Pauli
exclusion principle," Hadronic J. Vol. 1, 574-901 (1978),
http://www.santilli-foundation.org/docs/santilli-73.pdf

[4] First systematic proposal of Lie-isotopic and Lie-admissible algebras and mechanics over conventional numeric fields

R. M. Santilli, * Foundation of Theoretical Mechanics,*

Springer-Verlag, Heidelberg,
Germany (1978)

Volume I: * The Inverse Problem in Newtonian Mechanics*

http://www.santilli-foundation.org/docs/Santilli-209.pdf

Volume II: *Birkhoffian Generalization of Hamiltonian Mechanics*

http://www.santilli-foundation.org/docs/santilli-69.pdf

[5] First construction of new numbers compatible with Lie-admissible theories (Santilli genonumbers)

R. M. Santilli, "Isonumbers and Genonumbers 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

[6] First generalization on record of Newton's differential calculus for extended particles in irreversible conditions (Santilli genodifferential genocalculus_)

R. M. Santilli, "Nonlocal-Integral Isotopies of Differential Calculus,
Mechanics and Geometries," in Isotopies of Contemporary Mathematical
Structures,"

Rendiconti Circolo Matematico Palermo, Suppl. Vol. 42, 7-82
(1996),

http://www.santilli-foundation.org/docs/Santilli-37.pdf

[7] First comprehensive presentation of the reversible and irreversible branches of hadronic mechanics

R.M. Santilli,
* Elements of Hadronic Mechanics*

Academy of Sciences, Kiev (1995)

Volume I:

*Mathematical Foundations*

Volume II:

*Theoretical Foundations*

Volume III (2016):

*Experimental verifications*

[8] First proof that the non-Hamiltonian interactions responsible for irreversible processes are invariant over time when formulated on genospaces over genofields

R. M. Santilli, "Invariant Lie-admissible formulation of quantum deformations,"
Found. Phys. Vol. 27, 1159- 1177 (1997)

http://www.santilli-foundation.org/docs/Santilli-06.pdf

[9] Proof of the universality of hadronic mechanics for irreversible, non-linear, non-local and non-potential interactions

R. M. Santilli, "Lie-admissible invariant representation of
irreversibility for matter and antimatter at the classical and
operator levels,"

Nuovo Cimento B 121, 443 (2006),

http://www.santilli-foundation.org/docs//Lie-admiss-NCB-I.pdf

[10] General outline of preceding studies and their experimental verifications in physics, chemistry and other fields.

R. M. Santilli
"An introduction to the new sciences for a new era,"
Invited paper, SIPS 2016, Hainan Island, China
Clifford Analysis, Clifford Algebras and their Applications ol. 6, No. 1, pp. 1-119, 2017

http://www.santilli-foundation.org/docs/new-sciences-new-era.pdff

[11] Proof of the EPR argument

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

**GENERAL REFERENCES AND REVIEWS:**

Pages 121 to 161 of Volume I of

R. M. Santilli, *Hadronic Mathematics, Mechanics and Chemistry,*,
Volumes I to V, International Academic Press, (2008),

http://www.i-b-r.org/Hadronic-Mechanics.htm

D. S. Sourlas and G. T. Tsagas, *Mathematical Foundation of the Lie-Santilli Theory,*

Ukraine Academy of Sciences 91993), available as free download from

http://www.santilli-foundation.org/docs/santilli-70.pd

Chun-Xuan Jiang, *Foundations of Santilli Isonumber Theory,*

International Academic Press (2001),

http://www.i-b-r.org/docs/jiang.pdf

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

Raul M. Falcon Ganfornina and Juan Nunez Valdes, *Fundamentos de la Isdotopia de Santilli,}* International Academic Press (2001),

http://www.i-b-r.org/docs/spanish.pdf

English translation: 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 IsoDifferential Calculus,*

Volumes, I, II, III, IV and V, Nova Scientific Publisher (2015 on).

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),

http://www.santilli-foundation.org/docs/RMS.pdf

**PUBRELCO INTERVIEWS OF SIR RUGGERO MARIA SANTILLI
ON THE VERIFICATION OF THE EPR ARGUMENT**

New York, N.Y., March 11, 201

**A First Tribute To Albert Einstein:
R. M. Santilli's 1998 Confirmation of A. Einstein's 1935 Prediction
that Quantum Mechanics is not a "Complete" Theory**

http://www.galileoprincipia.org/santilli-confirmation-of-the-epr-argument.php

New York, N.Y., April 15, 2019

**
AnotherTribute To Albert Einstein:
Achievement of an attractive force between identical valence
electrons via Einstein's 'completion' of quantum mechanics**

http://www.galileoprincipia.org/santilli-confirmation-of-the-epr-argument-chemistry.php

New York, N.Y., April 15, 2019

**
Antiprotons or pseudoprotons?**

http://www.galileoprincipia.org/antiprotons-or-pseudoprotons.php

New York, N.Y., March 10, 2019

align="center">**The new clean energies permitted by negatively charged pseudoprotons and pseudobuclei**

http://www.santilli-foundation.org/purelco-interview-1-2-19.phpf