#### Department of Mathematics and Geosciences, University of Trieste, Italy and Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Czech Republic

Massimo Tessarotto (born April 13, 1946) is an Italian mathematical physicist who has worked in Italy (Department of Mathematics and Geosciences, University of Trieste, Italy), United States (collaboration with Princeton Plasma Physics Laboratory, Princeton University, NJ, USA) and the Czech Republic (Institute of Physics, Faculty of Philosophy and Science, Silesian University in Opava, Opava, Czech Republic).

1 MAIN CONTRIBUTIONS

1 – **Kinetic theory of collisional transport in axisymmetric laboratory plasmas**

In 1982, 1987 and 1991 Massimo Tessarotto, Peter J. Catto, Ira B. Berstein and Rosce B. White introduced a perturbative-variational theory of collisional transport theory allowing for equilibrium toroidal differential rotation. As shown in 2012 by Claudio Cremaschini and Massimo Tessarotto the theory can be generalized to more general kinetic equilibria.

2 – **Theory of kinetic stability of axisymmetric kinetic equilibria**

In 1993-1997 Lin-Jin Zheng and Massimo Tessarotto investigated in a series of papers the kinetic stability of electrostatic and electromagnetic

perturbations in rotating toroidal magnetoplasmas. In 2012 Claudio Cremaschini and Massimo Tessarotto demonstrated that strongly magnatized collisionless kinetic equilibria can be absolutely stable with respect to axisymmetric

EM perturbations, including in particular the well-kwon MRI instability.

3 – **Kinetic equilibria in axisymmetric accretion-disk plasmas.**

In 2010-2013 Claudio Cremaschini, Massimo Tessarotto, together with John C.Muller and Zdenek Stuchlik investigated the conditions of existence of kinetic equilibria accretion-disk plasmas.

4 – **Theory of the EM radiation -reaction.** Main contribution is the discovery of an exact equation for the EM radiation-reaction problem In 2011 Claudio Cremaschini and Massimo Tessarotto pointed out the exact special-relativistic equation for a Lorentzian charged particle (point particle with Önite-size spherical-shell charge distribution) subject to the action of its EM self force. The equation overcomes the conceptual di¢ culties met by the so called LAD (Lorentz, Abraham, Dirac) equation as well as the so-called LL (Landau-Lifschit) approximation and a§ords the exact treatment of the specialrelativistic dynamics of a Lorentzian particle. In particular, unlike the LAD and LL equations the new equation admits an Hamiltonian formulation.

5 – **Discovery of the Master kinetic equation for smooth hard spheres systems**

Based on an axiomatic formulation of statistical mechanics for hard-sphere systems, in 2014 Massimo Tessarotto and Claudio Cremaschini pointed out an exact, i.e., non-asymptotic, kinetic statistical equation which holds for finite systems of finite-size hard-spheres subject to instantaneous binary or multiple elastic collisions. The new equation is today considered a candidate for a thekinetic description of granular áuids with applications to theoretical, ambient and industrial áuid dynamics.

6 –** Formulation of the theory of covariant quantum gravity** (**CQG-theory**)

In a series of papers (2015-2021) Claudio Cremaschini and Massimo Tessarotto have formulated a new manifestly-covariant theory of quantum gravity. CQGtheory has been shown to admit in vacuum a discrete spectrum of eigenvalues for the graviton mass. The theory is susceptible to wide range of possible applications in quantum gravity and cosmology.

2 RECENT SELECTED PUBLICATIONS

- M. Tessarotto and C. Cremaschini, Generalized Lagrangian Path Approach to Manifestly-Covariant Quantum Gravity Theory, Entropy 2018, 20(3), 205; doi:10.3390/e20030205.
- Cremaschini, C.; Tessarotto, M. Hamiltonian approach to GRó Part 1: Covariant theory of classical gravity. Eur. Phys. J. C 2017, 77, 329. 10.
- Cremaschini, C.; Tessarotto, M. Hamiltonian approach to GRó Part 2: Covariant theory of quantum gravity. Eur. Phys. J. C 2017, 77, 330. 11.
- Cremaschini, C.; Tessarotto, M. Quantum-Wave Equation and Heisenberg inequalities of covariant quantum gravity. Entropy 2017, 19, 339.
- M. Tessarotto and C. Cremaschini, Theory of Nonlocal Point Transformations in General Relativity. Adv. Math. Phys. 2016, 2016, 9619326.
- Cremaschini, C.; Tessarotto, M. Quantum theory of extended particle

dynamics in the presence of EM radiation-reaction. Eur. Phys. J. Plus 2015,

130, 166. 7. - Cremaschini, C.; Tessarotto, M. Synchronous Lagrangian variational principles in general relativity. Eur. Phys. J. Plus 2015, 130, 123. 8.
- Cremaschini, C.; Tessarotto, M. Manifest covariant Hamiltonian theory of general relativity. Appl. Phys. Res. 2016, 8, 2.
- Tessarotto, M.; Cremaschini, C. Generalized Lagrangian-path representation of non-relativistic quantum mechanics. Found. Phys. 2016, 46, 1022.
- Tessarotto, M.; Mond, M.; Batic, D. Hamiltonian structure of the Schrodinger classical dynamical system. Found. Phys. 2016, 46, 1127.
- C. Cremaschini and M. Tessarotto, Hamilton-Jacobi theory for the

EM radiation-reaction problem, The European Physical Journal Plus 129, 247 (2014). - M. Tessarotto and C. Cremaschini, ModiÖed BBGKY hierarchy for the hard-sphere system, The European Physical Journal Plus 129, 243 (2014).
- M. Tessarotto and C. Cremaschini, The Master kinetic equation for
- the statistical treatment of the Boltzmann-Sinai classical dynamical system, The European Physical Journal Plus 129, 243 (2014).
- C. Cremaschini, M. Tessarotto and Z. Stuchlik, Covariant formulation of spatially non-symmetric kinetic equilibria in magnetized astrophysical plasmas, Physics of Plasmas 21, 052901 (2014).
- M. Tessarotto and C. Cremaschini, First-principle proof of the modified collision boundary conditions for the hardsphere system, Physics Letters A 378, 1760 (2014).
- C. Cremaschini, M. Tessarotto and Z. Stuchlik, Kinetic equilibria ofrelativistic collisionless plasmas in the presence of nonstationary electromagnetic fields, Physics of Plasmas 21, 032902 (2014).
- C. Cremaschini, Z. Stuchlik and M. Tessarotto, Collisionless energyindependent kinetic equilibria in axisymmetric magnetized plasmas. Physical Review E 88, 033105 (2013).
- M. Tessarotto and C. Cremaschini ìAb initioîconstruction of the 2-point velocity-di§erence PDF for incompressible Navier-Stokes áuids, The European Physical Journal Plus 128, 84 (2013).
- C. Cremaschini and M. Tessarotto, Symmetry properties of the exactEM radiation-reaction equation for classical extended particles and antiparticles, International Journal of Modern Physics A 28, 1350086 (2013).
- C. Cremaschini, Z. Stuchlik and M. Tessarotto, Kinetic theory of quasistationary collisionless axisymmetric plasmas in the presence of strong rotation phenomena, Physics of Plasmas 20, 052905 (2013).
- M. Tessarotto and C. Cremaschini, Mathematical properties of the NavierStokes dynamical system for incompressible Newtonian fluids, Physica A 392, 3962 (2013).
- C. Cremaschini and M. Tessarotto, Statistical treatment of the electromagnetic radiation-reaction problem: Evaluation of the relativistic BoltzmannShannon entropy, Physical Review E 87, 032107 (2013).
- Massimo Tessarotto, Claudio Cremaschini and Marco Tessarotto, Onthe conditions of validity of the Boltzmann equation and Boltzmann H-theorem, The European Physical Journal Plus 128, 32 (2013).
- C. Cremaschini and M. Tessarotto, Theory of spatially non-symmetric kinetic equilibria for collisionless plasmas, Physics of Plasmas 20, 012901 (2013).
- C. Cremaschini and M. Tessarotto, Collisionless kinetic regimes forquasi-stationary axisymmetric accretion disc plasmas. Physics of Plasmas 19, 082905 (2012).
- C. Cremaschini and M. Tessarotto Addendum to: Hamiltonian structure of classical N-body systems of Önite-size particles subject to EM interactions, The European Physical Journal Plus 127, 103 (2012).
- Massimo Tessarotto, C. Asci, C. Cremaschini, A. Soranzo, Marco Tessarotto and G. Tironi, Lagrangian dynamics of thermal tracer particles in NavierStokes áuids, The European hysical Journal Plus 127, 36 (2012).
- C. Cremaschini, M. Tessarotto and J. C. Miller, Absolute stability of axisymmetric perturbations in strongly-magnetized collisionless axisymmetric accretion disk plasmas, Physical Review Letters 108, 101101 (2012).
- C. Cremaschini, M. Tessarotto and J. C. Miller, Diamagnetic drivenkinetic dynamos in collisionless astrophysical plasmas, Magnetohydrodynamics 48, N. 1, pp. 3-13 (2012).
- C. Cremaschini and M. Tessarotto, Hamiltonian structure of classicalN-body systems of Önite-size particles subject to EM interactions,The European Physical Journal Plus 127, 4 (2012).
- C. Cremaschini and M. Tessarotto, Kinetic description of rotating Tokamak plasmas with anisotropic temperatures in the collisionless regime, Physics of Plasmas 18, 112502 (2011).
- C. Cremaschini and M. Tessarotto, Hamiltonian formulation for the classical EM radiation-reaction problem: Application to the kinetic theory for relativistic collisionless plasmas,The European Physical Journal Plus 126, 63 (2011).
- C. Cremaschini and M. Tessarotto Exact solution of the EM radiationreaction problem for classical Önite-size and Lorentzian charged particles, The European Physical Journal Plus 126, 42 (2011).
- C. Cremaschini, J. C. Miller and M. Tessarotto, Kinetic description of quasi-stationary axisymmetric collisionless accretion disk plasmas with arbitrary magnetic field configurations, Physics of Plasmas 18, 062901 (2011).