2012 Seminar Course on Hadronic Mechanics

To be held as part of the International Meeting
CNAAM 2012, Kos, Greece, 19-25 September 2012
Program Number 50 of the series

Prof. Richard Anderson, USA,

Prof. Christian Corda, Italy

Mrs. Pamela Fleming

This is a Post Ph. D. Course specifically and solely intended to study the various aspects of Hadronic Mathematics, Mechanics and Chemistry. Due to the variety of topics to be presented as well as time limitations, participants should be made aware that the presentation of 20th century topics cannot be admitted. However, the reformulation of 20th century topics in terms of the covering hadronic theories is encouraged.

Access to the sessions will be strictly restricted to participants who have pre-registered by applying with a copy of their CV to with copy to

September 19 to 25, 2012
Final schedule withe detailed list of distinguished teachers from three continents will be released to the participants.

dated September 19, Morning Session
The Novel Mathematics Underlying Hadronic Mechanics for Matter and Antimatter
Prof. R. M. Santilli

lectures by distinguished mathematicians on
Iso-, geno- and hyper-mathematics for matter
and their isodual conjugations for "neutral" antimatter

Representations of Interior Dynamical Problems of matter consisting of extended particles and electromagnetic waves propagating within physical media in conditions of: 1) closed-isolated, reversible and single-valuedness; 2) open irreversible single-valuedness; 3) open-irreversible multi-valuedness; and their isoduals for antimatter. Outline of the most important experimental verifications and the proposal of new tests.

Use of hadronic mechanics to achieve: a real attractive force among valence electron pairs; 2) its application to achieve an exact representation of molecular binding energy; and 3) prediction of the new chemical species of Santilli magnecules.

The following scientists have been offered financial support for bringing their equipment to Kos, Greece, and actually demonstrate their discoveries to provide visual evidence of the advances:

1. Superluminal Communications
Prof. G. Nimtz from Germany and his associates have been invited to demonstrate the propagation of electromagnetic waves in their guides at a multiple of the speed of light in vacuum with particular reference to demonstrate the superluminal transfer of information.

2. IsoRedShift (IRS) of the Sun at Sunset
Prof. R. M. Santilli from the USA and his technicians have been invited to demonstrated in a sunny day with the originally used equipment (a telescope, an Avantes analyzer, and the related software) the shift of the entire spectrum of the Sun for about 200 nm from the zenith to Sunset without any relative motion between the Sun the medium and the detector, with consequential absence of the expansion of the universe and related cosmological conjectures.For details and refereed papers, please visit the website

3. Intermediate Controlled Nuclear Fusions without Radiations (ICNF)
Prof. W. Cai from China and his associate have been invited to demonstrate with a battery powered table top version of Santilli Hadronic Reactors the production of heat as a multiple of the used power without any emission of harmful radiations or release of radioactive waste. Conventional detectors will be used to measure the energy in and out, while various detectors for neutrons, gamma, X-rays, etc. will confirm the lack of emission of harmful radiations. Solid and gaseous samples will be taken for independent analyses to confirm the synmthesis of light, natural and stable elements such as NNitrogen, Silica, et al. Note: The conduction of this test during the Course will depend on the acceptance by the Greek Custom of a temporary import of the Hadronic Reactor and related detectors. For details and refereed papers please visit the website

The following scientific documentary produced for the American television will be shown during one evening sessions:
A New Renaissance for Matter Cosmology
John Pace, Director
The documentary outliens the mathematical, theoretical and experimental evidence presenetd at the 2011 San Marino Workshop on Astrophysics and Cosmology for Matter and Anti-Matter dismissing the expansion of the universe, the acceleration of the expansion, the big bang, the expansion of space itself, the dark matter and the dark energy. The documentary will then show the new renaissance under way in cosmology for matter along Galileo teaching of first achieving rigorous mathematical representations and experimental verifications on Earth before applying far reaching conjectures to the universe as a necessary conditions to regain scientific and financial accountability.

To avoid unnecessary repetitions during the sessions all participants are requested to read the following general overview and update:
Mathematical Formulation, Theoretical Interpretation and Experimental Verification of IsoRelativity for Interior Dynamical problems of Matter and Antimatter R. M. Santilli, under preparation. Preliminary version prior to August 15, 2012 available from

Funds are available to support teaching in specialized aspects of hadronic mechanics (see below for details)

I-1. Santilli isonumber theory

A teacher, expert in number theory, is needed to present the new numeric fields with arbitrary (non singular) multiplicative unit, called Santilli isounit, and show that they verify the conventional axioms of numerical fields under a simple redefinition of the multiplication, first introduced by Prof. Santilli in Ref. [1] below. Due to the preservation of the conventional numerical axioms, the new numbers were called by Prof. Santilli "isonumbers" where the prefix "iso" is intended in the Greek meaning of preserving the original axioms. The teacher should additionally present some of the implications of isonumbers worked out by Prof. Jing in Ref. [2], and indicate some applications, e.g., to the new isocryuptograms, that is, cryptograms defined over Santilli isofields in such a way to admit an infinite number of possible isounits (applications to physics will be presented by physicists).

[1] 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),

[2] Chun-Xuan Jiang, Foundations of Santilli Isonumber Theory, International Academic Press (2001),

I-2. Isospaces, isofunctional analysis, and isodifferenial calculus.
With reference to the seminal memoir [3], a teacher expert in functional analysis and differential calculus is needed for a presentation on the isotopies of conventional vector, metric or pseudo-metric spaces, called isospaces, essentially given by the reformulation of conventional spaces over Santilli isofields, i.e., a redefinition admitting Santilli isounit as the right and left unit at all levels. The teaching should then pass to an outline of isofunctional analysis, initiated by Prof. J. V. Kadeisvili, A Aringazin et al, consisting of functions defined on isospaces that admit Santilli isounit as the right and left unit. Finally, the teaching should include a presentation of the isodifferential calculus, first introduced by Prof. Santilli in Ref. [3], which is also given by the redefinition of the ordinary differential calculus in such a a way to admit Santilli isounit when depending on the variable of differentiation.

[3] 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),

[4] R. M. Falcon Ganfornina and J. Nunez Valdes, Fundamentos de la Isoteoria de Lie-Santilli, International Academic Press (2001),

I-3. Lie-Santilli isotheory
The 20th century formulation of Lie's theory is notoriously linear, local-differential and Hamiltonian. By contrast, the majority of systems in the physical reality are nonlinear, nonlocal and non-Hamiltonian, that is, containing variationally nonselfadjoint forces that, by conception, are not representable with a Hamiltonian. Thanks to the preceding isotopies of numerical fields, metric spaces, functional analysis and differential calculus, Prof. Santilli has achieve a reformulation of Lie's theory, today known as Lie-Santilli isotheory, that is indeed directly applicable to nonlinear, nonlocal and non-Hamiltonian systems, while preserving the original Lie axioms at the abstract level. A teacher, expert in Lie's theory, is needed to present the various branches of the Lie-Santilli isotheory, including isoassociative enveloping algebras, isoalgebras, isogroups and their representation as available in the publications below.

[5] R. M. Santilli, Elements of Hadronic Mechanics.Volume I, Ukraine Academy of Sciences, Kiev, second edition 1995,

[6] D. S. Sourlas and G. T. Tsagas, Mathematical Foundation of the Lie-Santilli Theory, Ukraine Academy of Sciences 91993),

[7] J. V. Kadeisvili, Santilli's Isotopies of Contemporary Algebras, Geometries and Relativities, Ukraine Academy of Sciences, Second edition (1997)

I-4. Tsagas-Sourlas-Santilli-Ganfornina-Valdes (TSSGV) isotopology
20th century applied sciences are based on the Euclidean and other topologies that are local-differential, thus being solely applicable to a finite number of point-like particles. 21st century problems require the characterization of a finite number of extended, therefore generally non spherical and deformable particles that, as such, require a structurally broader topology with far reaching mathematical and physical implication. This new topology has been first studied by Profs. Tsagas and Sourlas [8], then by Prof. Santilli [[3], then by Profs. Ganformina and Valdes [9] and it is today called the TSSGV isotopology. A teacher, expert in 20th century topologies, is needed for the teaching of the TSSGV isotopology.

]8\ G. Tsagas, ''Studies on the classification of Lie-Santilli algebras," Algebras, Groups and Geometries Vol. 13, 129- (1996). available from the link

[9] Raul M. Falcon Ganfornina and Juan Nunez Valdes, Studies on the Tsagas-Sourlas-Santilli Isotopology, Algebras, Groups and Geometries {\bf 20}, 1 (2003), available from the link

I-5. Hilbert-Myung-Santilli isospaces
20th century formulations of quantum mechanics are based on the theory of linear operators on a Hilbert space defined over a field of complex numbers. However, physical problems of interest in the 21st century are strictly nonlinear, thus preventing the use of conventional Hilbert spaces due to a number of problematic aspects, such as the inability to study composite systems with non;linear interactions due to the violation of the superposition principle and other shortcomings. An axiom preserving lifting of Hilbert spaces capable of consistent treatment of nonlinear, as well as nonlocal-integral and nonpotential/non-Hamiltonian interactions (via their embedding in Santilli's isounit) has been achieved by Prof. Santilli in 10982 in collaboration with the mathematician Prof. H. C. Myung [10] and then studied in details in various works (see Ref. [11]). A teacher, expert in Hilbert spaces, is needed for a presentation on the covering Hilbert-Myung-Santilli isospaces and some of their important implications, such as the achievement of strong convergent for the isotopic image of conventionally divergent expansions, the Dirac-Myung-Santilli isodelta function also studied by Prof. M. Nishioka [12] and other important features.

[10] H. C. Myung and R. M. Santilli, Hadronic Journal Vol. 5, pages 1277-1366 (1982). available as free download from

[11] R. M. Santilli, Elements of Hadronic Mechanics, Volume I, Ukraine Academy of Sciences, Kiev, second edition 1995,

[12] M. Nishioka, Lettere Nuovo Cimento Vol. 39, pages 369-372 (1984),

Theoretical physicists experts in classical mechanics, quantum mechanics and scattering theory are needed to teach the following selected topics:

II-1. Foundations of classical and operator hadronic mechanics
Recall the true Lagrange and Hamilton equations, those with external terms necessary for the representation of irreversible processes; recall the 'No Reduction Theorems" establishing the impossibility of the elimination of external terms in the reduction of classical irreversible systems to their elementary constituents; recall that the brackets of the time evolution with external terms violate the conditions to constitute an algebra; review Santilli's Lie-isotopic, Lie-admissible and hyper-structural formulations of the true Lagrange and Hamilton equations (for single valued closed non-Hamiltonian, single valued non-Hamiltonian irreversible; and multivalued irreversible systems, respectively) in such a way to admit a consistent algebras in the brackets of the time evolution; show the universality of the derivation of the Lagrange-Santilli and Hamilton-Santilli equations from an action principle via the the use of the anew differential calculus; review the unique and unambiguous hadronization of these classical mechanics (that are universal for noncanonical systems) into corresponding nonunitary branches of hadronic mechanics (that are universal for nonunitary theories); review the corresponding classes of Schroedinger-Santilli, Heisenberg-Santilli and Dirac-Santilli iso-, geno- and hyper-equations; show that hadronic mechanics is a new realization of the abstract axioms of quantum mechanics permitted by Santilli new is-, geno-, and hyper- mathematics; prove the full causality of non-relativistic and relativistic hadronic mechanics via the Galileo-Santilli and the Lorentz-Poincare'-Santilli symmetries, respectively; show that hadronic mechanics is a "completion" of quantum mechanics mostly according to Einstein, Podolsky and Rosen; show the revisions necessary for Bell's inequality under causal and invariant non-Hamiltonian, thus nonunitary interactions and the consequential revision of local realism. Recommended general reference and vast literature quoted therein:

[13] R. M. Santilli, Elements of Hadronic Mechanics,Volume II, Ukraine Academy of Sciences, Kiev, second edition 1995,

II.2. Rutherford-Santilli synthesis of neutrons from H-atoms inside stars
Initiate the study via a quantitative representation of "all" characteristics of the pi-0 (including charge radius, meanlife, etc. and not the mass alone) in its known synthesis e^+ + e^- => pi-0 first achieved by Santilli in 1978 in Section 5 of Ref. [14]; show the inconsistency of Schroedinger equation since the rest energy of the pi-0 is much bigger than the sum of c the rest energies of the original particles thus requiring an inconsistent large "positive binding energy"; show the necessity of a nonunitary generalization of quantum mechanics for the considered synthesis that lead to Santilli's 1978 proposal for the covering hadronic mechanics; and review in detail the 1978 analytic solution in Section 5 of Ref. [14]. Pass then to the review of the nonrelativistic [14] and relativistic [15] synthesis of the neutron inside stars p^+ + e^- => n + ? with ensuing new model today known as Rutherford-Santilli neutron; show again the inconsistency of Schroedinger equation due to the need for a "positive binding energy"; review Santilli's isotopies of the SU(2)-spin symmetry for extended spinning particles on a Hilbert-Myung-Santilli isospace over Santilli's isofield of complex numbers; show the dramatic differences for Rutherford's synthesis in first treating the proton as a point-particle and then its treatment as an extended charge distribution with a hyperdense medium in its interior; show in the latter case the constrained character of the electron compressed within the hyperdense medium inside the proton with consequential null total angular momentum and the spin of the neutron coinciding with that of the proton; review the experiments on the laboratory synthesis of the neutron from a hydrogen gas; show the impossibility for extended protons and neutrons to identify the spin, let alone the energy needed to characterize the hypothetical neutrino; shows the need for Santilli's alternative aetherino (or etherino) longitudinal impulse (not a particle!) propagating through the aether with consistent reaction p^+ + a + e^- => n without the neutrino [18]; show the compatibility of Santilli's aetherino hypothesis with ongoing experiments claiming the "detection of (undetectable) neutrinos"; conclude by indicating the basically new energies without radiations and other energies that are derivable from quantitative representation of Rutherford's synthesis of the neutron (see memoir [19] for a general review).

[14] R. M. Santilli, "Need of subjecting to an experimental verification the validity within a hadron of Einstein special relativity and Pauli exclusion principle," Hadronic J. Vol. 1, 574-901 (1978), available in free pdf download from

[151] R. M. Santilli, "Apparent consistency of Rutherford's hypothesis on the neutron as a compressed hydrogen atom," Hadronic J. Vol. 13, 513-531 (1990) Santilli-21.pdf

[16] 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,

[17] C. Borghi, C. Giori C. and A. Dall'Olio,(Russian) Phys. Atomic Nuclei, Vol. 56, 205 (1993). R. M. Santilli, "Apparent confirmation of Don Borghi's experiment toward the synthesis of neutron from protons and electrons," Hadronic Journal Vol. 30, 709 (1997).

[18] R. M. Santilli, "The etherino and/or the Neutrino Hypothesis?" Found. Phys. Vol. 37, p. 670 (2007)

[19] J. V. Kadeisvili, ''The Rutherford-Santilli Neutron," Hadronic J. {\bf 31}, 1 (2008), available in free pdf download from the link
also available in htlm format from the website

II-3. Santilli classical and operator isodual theory of antimatter
Recall the large scientific imbalance of the 20th century for which matter was studied at all levels, from Newton to second quantization, while antimatter was solely studied in second quantization; show the complete inability by Einstein's special and general relativities to represent neutral antiparticles; show the necessity for Newtonian, Minkowskian and Riemannian representation of neutral antimatter; shows the need of a new mathematics for the classical representation of neutral antimatter; review Santilli's isodual mathematics with negative units; review Santilli isodual classical and operator mechanics; shows the equivalence of isoduality and charge conjugation at the operator level; show that the achievement of a classical representation of neutral antimatter implies necessary physical differentiation between light emitted by matter and antimatter; review Santilli isodual elm waves and photons and their cosmological implications for the possible future detection of antimatter galaxies and stars; show the compatibility of the isodual theory of antimatter with all available classical and operator experimental data on antimatter; show the prediction by the isodual theory of antimatter of gravitational repulsion of antimatter in the field of matter or vice versa; review Santilli's 1994 proposed resolutory experiments to measure the gravity of positrons in a horizontal vacuum and supercooled tube on Earth; review the proposed experiments to establish or deny the existence of Santilli isodual light. Main reference and vast literature quoted therein:

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

II-4. Nonunitary Lie-isotopic and Lie-admissible scattering theories of hadronic mechanics
Show that the reduction to point-like abstractions of the scattering region for high energy processes is a philosophic conception outside realities due to the hyperdense character of the scattering regions and the absence in nature of 'point-like wavepackets"; show the necessary emergence in the interior of the scattering region of contact, zero-range, nonlinear, nonlocal and non-Hamiltonian interactions with consequential impossibility for the conventional relativistic scattering theory to be exactly valid for high energy scattering processes; review the foundations of the nonunitary, fully causal and time invariant Lie-isotopic and Lie-admissible scattering theory of hadronic mechanics; show the necessary mutation of the rest energy of virtual or intermediate particles in scattering processes, thus dismissing 20th century beliefs on the mass of the Higgs boson and similar hypothetical particles; show the irreconcilable insufficiencies of Feynman's diagrams for high energy inelastic scattering processes; show the inconsistencies of Feynman';s diagrams for particle-antiparticle annihilation whenever mediated by a particle or an antiparticle; shows the necessity of new vistas for high energy hyperdense scattering regions without mediation by hypothetical new particles; show the representation by the new nonunitary scattering theory of events impossible for the conventional unitary theory, such as the synthesis of hadrons from lighter particles; show the predictions of the scattering theory. of hadronic mechanics. Main recent reference (see monograph [13] for the status of the research in 1995)

[21] Nonunitary Lie-isotopic and Lie-admissible scattering theories of hadronic mechanics Papers I, II, III, IV 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

II-5. Experimental verifications of hadronic mechanics in classical mechanics, particle physics, nuclear physics, superconductivity, astrophysics and cosmology, the novel intermediate fusions without radiations, and other applications of hadronic mechanics
To be taught by Santilli and his associates.

Theoretical chemists experts in quantum chemistry are needed to teach the following selected topics:

III.1. Introduction to hadronic chemistry
Show that the 20th century notion of valence is a pure nomenclature without technical content because lacking an equation representing the bond in a way consistent with experimental evidence; prove that two identical electrons in single valence coupling repel each other according to quantum mechanics; prove that, according to 20th century notion of orbitals, all substances are predicted as being paramagnetic in dramatic disagreement with evidence; review the lack of exact representation by quantum chemistry from first axiomatic principles of the hydrogen and other molecules; show the prediction, in general, by quantum chemistry axioms without manipulations of the wrong signs, let alone the wrong values of electric and magnetic moments of the water and other molecules; show that the screening of the Coulomb potential via the multiplication of an arbitrary function fitted from the data causes the loss of quantized orbits, with consequential inability of still claiming the validity of "quantum chemistry", the breaking of the basic Galilean and other symmetries and the violation of other quantum mechanical principles; show the necessity of admitting the presence in valence electron pairing of contact, zero-range, nonlinear, nonlocal and non-Hamiltonian interactions due to mutual penetration of extended wavepackets of the electrons; show the structural impossibility for an exact representation of electron valence couplings by quantum mechanics and chemistry in favor of the covering hadronic mechanics and chemistry; outline the isotopic and genotopic lifting of quantum chemistry via single and dual nonunitary transforms, respectively; show the insufficiencies of quantum chemistry for the representation of irreversible chemical reactions in favor of the Lie-admissible branch of hadronic chemistry. main reference:

[22] Foundations of Hadronic Chemistry, with Applications to New Clean Energies and Fuels, R. M. Santilli, Kluwer Academic Publishers (2001),
http: //
Russia Translationm by Prof. A. K. Aringazin

III.2. Santilli-Shillady hadronic model of the hydrogen molecule
Review the model of the hydrogen molecules according to hadronic chemistry first achieved by Santilli and Shillady in 1999 ]23]; show its numerically exact representation of the binding energy of the H2 molecule, its diamagnetic character and other features; show the achievement of these results thanks to strongly attractive valence bond permitted by the non-hamiltonian interactions of hadronic chemistry; show the consequential reduction (in first approximation) of the hydrogen molecule to a restricted three-body system characterized by the two protons and the strongly bonded valence electron pair in singlet coupling; review the exact analytic solution by R. Perez-Enriquez, R. Riera, A.K. Aringazin and M.G. Kucherenko ]24,25].

[23] "A new isochemical model of the hydrogen molecule," R. M. Santilli and D. D. Shillady, Intern. J. Hydrogen Energy Vol. 24, pages 943-956 (1999)

[24] "Exact analytic solution of the restricted three-body Santilli-Shillady model of the hydrogen molecule, " R. Perez-Enriquez and R. Riera, Progress in Physics Vol. 2, 34-41 (2007) (physics/0001056)

[25] "Exact variational solution of the restricted three-body Santilli-Shillady model of the hydrogen molecule," A.K. Aringazin and M.G. Kucherenko, Hadronic J. Vol. 23, 1-56 (2000) (physics/0001056)

III.3. Santilli-Shillady hadronic model of the water molecule
Review the model of the water molecule from first axiomatic principle of hadronic chemistry without adulterations or arbitrary screening functions first achieved by Santilli and Shillady in 2000 [26]; show the representation of the binding energy of the water molecule exact to the desired decimal; show the exact representation of the sign and values of the electric and magnetic polarizations;; show that the Santilli-Shillady model of molecules permits a reduction of computer time at least of the order of 1000 due to the strong convergence of otherwise weakly convergent series; outline the implications of the Santilli-Shillady molecular model for the 21st century chemistry.

[26] "A new isochemical model of the water molecule," R. M. Santilli and D. D. Shillady, Intern. J. Hydrogen Energy Vol. 25, 173-183 (2000)

III-4. The new chemical species of magnecules, the novel magnecular combustion, and their industrial; applications
To be taught by Santilli and his associates.

Each accepted teacher is expected to write a review paper on his/her topic so as to show the acquisition of the necessary knowledge in the field, and then be a teacher at the indicated Seminar Course in mid 2012. Our Foundation will provide a first grant of $3,000 for the writing of the review paper, $1,500 payable at initiation and the balance at the reception of a draft of the paper. An additional grant will be provided for teaching at the Seminar Course, for the payment of travel, lodging and other expenses. The review papers will be published in advance of the course for their availability to interested students and participants.

Interested teachers should contact me by email with the identification of his/her field of expertise, the selected topic as listed above and include the CV

Richard Anderson
Trustee, The R. M. Santilli Foundation