פרופ' יעקב פרידמן

1972-79  Ph.D. Mathematics Tel-Aviv University,  Thesis: Spaces of compact operators on a

                Hilbert  Space; Advisor: Professor Aldo Lazar; Degree Granted: May 1980

1966-71  BA and MA, Mathematics, University of Moscow, Major:  Functions of complex

                variables and conformal mappings.

2000-current  Departments of Mathematics and Physics, Jerusalem College of Technology,

                       Israel,  Professor

2003-2015  Jerusalem College of Technology, Israel, Vice-president,  Head of Research

                   Authority                   

2000-2003  Jerusalem College of Technology, Israel , Rector

1998-2000  Jerusalem College of Technology, Israel, Associate Professor,Vice Rector

1991-2000  Jerusalem College of Technology, Israel, Associate Professor, Chair Department of

                   Mathematics

1989-90      Jerusalem College of Technology, Israel, Associate Professor

1987-89      Jerusalem College of Technology, Israel, Senior Lecturer

1986-87       University of California, Los Angeles, Visiting Assistant Professor

1985-86       University of California, Riverside, Visiting Assistant Professor

1983-85       University of California, Los Angeles, Visiting Assistant Professor

1979-83      University of California, Irvine, Lecturer

1978-79       Tel-Aviv University: Lecturer

 1972-78     Tel-Aviv University: Teaching Assistant

1998-99    Nurture Life Ltd.  R&D director, developing algorithms for calculation of the

                  amount of milk during breast feeding 

1997-98   Jerusalem College of Technology, Center for Handicapped Technology, R&D

                  director, developing a handicapped speech recognition device based on neural

                  network technology.

1994-97    Memsys Ltd. (a spin-off of the Jerusalem College of Technology incubator)

                  R&D director,  developing memory devices from defective memory components;

                  developed a new effective method of describing the defectiveness of the devices and

                   algorithms of avoiding the defective regions;  designed and implemented a unique

                   production line for such products

1992-94     Jerusalem College of Technology and Yavne Hatchary, Senior Researcher in project

                  "Gender   determination of new-born chicks" , developing algorithms for signal

                   compression and classification based on statistical methods and neural networks.

1984-99  Technologic Software Ltd , Irvine, California Co-founder and director, its spin-of

                software company Access360, acquired by IBM in 2002

1974-77  Golden State Software Ltd, Los-Angeles, California, co-founder, R&D director,

                leading the development of one of the first multilingual Hebrew - English word

                processor "Mince" that was sold in USA

1975  Prize of the Department of Basic Research of the Israel National Academy of Science and

          Humanities.

1977   Research Prize in memory of Michael Landau of The Fund for Research of Mifal Hapais

1999  The annual Henry and Betty Rosenfelder Award for the outstanding Jerusalem College of

           Technology faculty member

2005  The annual Henry and Betty Rosenfelder Award for the outstanding researcher of the

          Jerusalem College of Technology

5.1 Summary of Current Research and Development Activities

    More than 100 years ago, Einstein's special relativity demonstrated that time is a relative notion. The observed rate of a moving clock differs from the rate of a stationary clock. In fact, the observed rate depends on the clock's velocity. All admissible velocities are bounded by the speed of light. These predictions of special relativity have been verified experimentally in several different ways.

   It is natural to ask whether acceleration and potential energy also influences the observed rate of a moving clock in addition to the influence due to its velocity. Today, there are several existing experimental techniques to test whether acceleration influences the observed rate of a clock. I introduced an extension of special relativity, which was call extended relativity (ER), by assuming that acceleration effects the observed rate of a clock. We derived transformations between uniformly accelerated systems in ER and show that ER predicts that there is a maximal acceleration. We obtained relativistic dynamics in ER. We have shown that Kundig's 1963 experiment indicates that acceleration does influence the rate of a clock, supporting the ER model and providing an estimate for the maximal acceleration.

 Three experiments were performed currently at PETRAIII-DESY, Hamburg and at two at ESRF Grenoble to test predictions of ER and to estimate the maximal acceleration. The experiments are based on Mossbauer spectroscopy with Synchrotron Radiation. We got indications that time is influenced by acceleration. An experiment that will get more accurate dependence of time dilation will be performed at ESRF summer 2017. We have shown how ER handles black-body radiation and some quantum properties of a Hydrogen-like atom.

  The last two years I lead a project Relativistic Newtonian Dynamics (ERD) which explains the deviations from classical Newtonian dynamics in astronomy as a result of the influence of the potential energy on spacetime. So far we were able to show that this (much simpler) theory predicts all known post-Newtonian observations, predicted by Einstein's General Relativity, without the need of curving spacetime. Unlike General Relativity, this theory is not limited to gravitation and could be applied to any field.

 

5.2 Future Directions for Research and Development.

We are working on more experiments to test ER and RND. We got allocated beam-time for the next experiment  at ESRF, upcoming summer.

Looking for possible applications of RND and ER for optical computing, nano-technology and high-frequency devices.

 

5.3 Summary of Past Research and Development Activities

 

-triples and their applications

The -triples are the algebraic structure associated with Bounded Symmetric Domains. They contain  algebras, Jordan algebras, Hilbert spaces and other mathematical structures and occur in different problems in mathematics. The theory of-triples  had large advancements the last three decades. My main research before the associate professor degree was related to the study of the structure and representations of these spaces.

 

Together with B.  Russo it was shown that the geometry of the state space of Quantum mechanics (arousing from the measuring process) leads to a -triple structure on the set of observables. At the Jordan algebra conference in Oberwolfach  I presented several results and future plans for applications of Bounded symmetric domains and-triple structure for different problems in physics and electronics. A new representation on the Canonical Anticommutation Relations and the Lorentz group based on the triple structure was obtained. We have also shown that the spin factor provides a model for both fermions and bosons.

 

Together with J. Arazy and T. Barton we have shown that everywhere defined derivation of a -triple is automatically continuous and that bounded derivations are approximated by inner derivations. New condition for differentiability of such functions was derived. These results of

operator differentiation and other new results in -triples allowed us to solve the contractive projection problem in . Together with A. Ungar we have shown that the translations of the authomorphism group of a bounded symmetric domain generate so called gyrogroup,

which is a generalization of a group. It was shown that a gyrogroup could be deformed into a group. This result was used to modify the velocity addition in special relativity to make this

addition associative

 

 Fuzzy dynamics

 

A new way based on methods of Fuzzy Logic of describing evolution of systems with uncertainty was developed together with U. Sandler. Based on causality principle

differential equations describing the evolution of such systems were derived and concrete methods of solving these equations were developed. Qualitative analysis of different possible behavior was performed. Several examples were considered. The fuzzy dynamic description of the elaboration of the instrumental reflex gave a good agreement with the

experimental data.

 

Applied mathematics: models in optics, statistics, medicine and brain research

 

Together with N. Schwietzer we build a mathematical model for description of stability of optical systems under rotation and translation. It was shown that plane mirror systems

are stable if and only if they are retroreflecting or direction preserving. Using this model we classified  all stable systems containing 3 or less mirrors. This classification already revealed unknown stable systems.

 

Together with A. Gelman and E. Phadia we developed the best estimator for cumulative distribution function based Kolmogorov-Smirnov loss function and defined a test of hypothesis about cumulative distribution.

 

Together with Alexander Friedman and the Neuropharmacology Laboratory of  Dr. Gal Yadid at Multidisciplinary Brain Research Center at Bar-Ilan University we discovered the effect of

depression on the neuronal activity in the ventral tegmental brain area. We analyzed data of neuronal activity in VTA area of an animal model of depression and identified the missing

 signals of such activity under depression. Based on this discovery it was developed at the Brain Research center of Bar Ilan  a successive treatment for depression on the animal model. We found a way to characterize the effect of desipramine treatment on depressed animals.

 

  Mathematical models for Physics based on Mathematics of Bounded Symmetric Domains

 

It was shown that the Bounded Symmetric Domains occur from fundamental laws in

Physics and that the geometry of these domains determine the evolution of systems. This approach is presented in my book published by Birkhouser in2004   in the series Progress in Mathematical Physics.  Together with Yu. Gofman  we have shown that if there is a dependence of the time from the acceleration, then there is a universal  maximal acceleration.

 

 

It was shown that the triple product connected to the domain of type 4 correspond to the

geometric product of Clifford algebras. This product is used to define a relativistic

phase space and three representations of the Poincare group on this space.

We found currently a complex scalar pre- potential for any electromagnetic field. This

pre-potential may become the bridge between classical and quantum mechanics.

 

I introduced a Universal Principle of Inertia and developed a Relativistic Newtonian Dynamics based on it. This dynamics is much simpler then General Relativity, but passes all the classical tests of GR. Moreover, it can be applied to non-gravitational forces as well. For spherically symmetric gravitational field this theory allows more possible solutions, then GR, which pass all the above tests. These solutions allow for light to have different speed from and toward the source of the field. We plan to perform experiments to test this predictions.

 

Together with an international team, I initiate four experiments and the synchrotrons DESY, Hamburg and ESRF, Grenoble to test the influence of acceleration on the time dilation. We developed the methodology for such experiments, identified the obstacles and developed methods to overcome them. We obtained statistically significant partial results, but conclusive results need to wait for the next level of technology at these facilities.

6.1 Peer-Reviewed Papers in Refereed Journals (not conference proceedings)

 

1. Y. Friedman," Subspaces of ) and , Proceeding of Amer. Math. Society 53 (1975)

         p.111-122.

2. J. Arazy, Y.Friedman,"The isometries of into  ", Israel Journal of Math. 26

   (1977)      p.151-165.

3. J. Arazy, Y. Friedman,"Contractive projections in  and  " Memoirs of the American

      Mathematical Society, 200, March 1978, 165 pages.

4. Y. Friedman, B. Russo, "Contractive projections on ", Transactions of the American

      Math. Soc., 273 (1982), p.57-73.

5. Y. Friedman, B. Russo, "Contractive Projections on Operator Triple Systems", Mathematica

       Scandinavica, 52 (1983), p.279-311.

6. Y. Friedman, B. Russo, "Function Representation of Commutative Operator Triple

      Systems", Journal of London Math. Society, 27 (2)(1983)  p.513-524.,

7. Y. Friedman, B. Russo, "Operator algebras without order", Comptes Rendus Acad. Science,

     Serie I, Mathematique 296 (1983), p.393-396.

8. Y. Friedman, B. Russo, "Conditional expectation without order", Pacific Journal of

       Mathematics, 115 (1984), p.351-360.

9. Y. Friedman, B. Russo, "Solution of the contractive projection problem", Journal of

     Functional Analysis 60 (1985), p.56-79.

10. Y. Friedman, B. Russo, " Structure of the predual of a _-triple", Journal fur die Reine

       and Ang. Math., 356 (1985), p.67-89.

11. Y. Friedman, B. Russo, " The Gelfand-Naimark Theorem for -triple", Duke Math.

         Journal, 53, 1, (1986), p.139-148.

12. Y. Friedman, B. Russo, " A Geometric Spectral Theorem", Quarterly Journal of Math

      (Oxford) 37 (1986),  p.263-277.

13. Y. Friedman, B. Russo, " Conditional expectation and bicontractive projections of Jordan

        -algebras and their generalizations", Mathematische Zeitschrift, 194 (1987), p.227-236.

14. T. Dang, Y. Friedman, "Classification of -triple factors and applications",

        Mathematica Scandanavica, 61 (1987), p.292-330.

15. T. Barton, Y. Friedman,"Grothendieck's inequality for -triple and applications",

        Journal of London Math. Soc., 36, (1987)  p.513-523.

16. Y. Friedman, A. Gelman and E. Phadia, " Best invariant estimation of distribution function

        Under Kolmogorov-Smirnov Loss Function", Annals of Statistics 16 (1988) p.1254-1261.

17. Y. Friedman, J. Hakeda, " Additivity of quadratic maps", Publ. of RIMS Kyoto University

          24, N5 (1988), p.707-722.

18. Y. Friedman, A. Gelman and E. Phadia, "A modified Kolmogorov-Smirnov type

        goodness-of-fit test", Communication in Statistics , 17 N. 12  (1988), p.41-47.

19. Y. Friedman, B. Russo, "Some affine geometric aspects of operator algebras", Pacific

        Journal of Math, 137, N1 (1989), p.123-144.

20. Y. Friedman, B. Russo, " Affine structure of facially symmetric spaces", Mathematical

         Proceedings (Cambridge Philos. Soc.) 106 (1989), p.107-124.

21. T. Barton, Y. Friedman, "Bounded derivations on -triples ", Quarterly Journal of

         Math (Oxford) 41 (1990) p.255-268.

22. J. Arazy, T. Barton, Y. Friedman, " Operator differentiable functions",Journal of Operator

         Integral Theory, 13 (1990), N. 4, p.462-487.

23. J. Arazy, Y. Friedman, " Contractive projections in " C.R. Acad. Sci. Paris, 312,   (1991)           p.439-444.
24. Y. Friedman, B. Russo, " Geometry of the dual ball of the spin factor", Proceedings of

       London Math. Soc., 65(3)  (1992), p.142-174.

25. J. Arazy, Y. Friedman, " Contractive projections in " Memoir Amer. Math. Soc., 459,

       (1992), 109 pages.

26. Y. Friedman, A. Naimark, "The homogeneity of the ball in and special relativity",

       Foundations of Physics, Letters 5, N4 (1992), p.337-354.

27. Y. Friedman, B. Russo, " Classification of atomic facially symmetric spaces", Canadian

       Journal of Mathematics, 45(1), (1993), p.33-87.

28. Y. Friedman, A. Ungar, "Gyrosemidirect Product Structure of Bounded Symmetric

       Domains", Results in Mathematics, 26, (1994), p.28-38.

29. T. Barton, Y. Friedman, and B. Russo, "Hilbertian seminorms and local order in

-triples", Quarterly Journal of Math (Oxford) 46, (1995), p.257-278.

30. Y. Friedman, U. Sandler, "Evolution of systems under fuzzy dynamics laws", Fuzzy Sets

        And Systems, 84 (1996), p. 61-74.

31. O.P. Tadmor, Y. Friedman, H. Frankfurt,D. Basel, O. Martin, R. Rabinovich, A. Samueloff

        and Y.Z. Diamant, " Ultrasonic Growth Curves for an Ultra-Orthodox Jerusalem

        Population: Comparison with Accepted Normograms", Israel J. Obstet. Gynecol., 7 no3

         (1996)   p.95-105.

32. Y. Friedman, U. Sandler, "Dynamics of fuzzy systems",International Journal of Chaos

         Theory and Applications, Invited paper, 2, No.3-4, (1997),p.5-21.

33. N. Schweitzer, Y. Friedman and M. Skop. "Stability of plain reflecting surfaces",

       Applied Optics, 37, No.22 (1998), p.5190-5193.

34. Y. Friedman and N. Schweitzer, "Classification of Stable Configurations of Plane

       Mirrors", Applied Optics, 37, No.31 (1998), p.7229-7234.

35. Y. Friedman, U. Sandler, "Fuzzy Dynamics as an alternative to Statistical Mechanics",

        Fuzzy Sets and Systems, Special Issue''Fuzzy Modelling and Dynamics'', 106  no 1

        (1999)  p.61-74.

36. Y. Friedman, B. Russo, "A new approach to the representation of the Lorentz group on the

        spinors", Seminarberichte aus dem Fachbereich Mathematik, 68,n3 (1999), p.107-140 .

37. Y. Friedman, B. Russo, "A new approach to spinors and some representation ofthe Lorentz

        group on them",  Foundations of Physics, 31(12),(2001) ,p.1733-1766 .

38. Y. Friedman, Yu. Gofman, "Why Does the Geometric Product Simplify the Equations of

        Physics?", International Journal of Theoretical Physics, 41, No.10, (2002) p.1861-1875.

39. Y. Friedman, Yu. Gofman," Relativistic Linear Spacetime Transformations Based on

        Symmetry", Foundations of Physics, 32, No.11, (2002)   p.1717-1736.

40. Y. Friedman, M.Semon, "Relativistic acceleration of charged particles in uniform and

       mutually perpendicular electric and magnetic fields as viewed in  the laboratory frame",

      Phys.  Rev.  E 72 (2005),  026603-1--10.

41. Y. Friedman, "Explicit solutions for relativistic acceleration and rotation", Czechoslovak

      Journal of Physics, 55 N11 (2005) p.1403-1408.

42. Y. Friedman " A new view on relativity: Part 1. Kinematic relations between inertial

       and relativistically accelerated systems based on symmetry", Concepts of Physics,  IV N2

      (2007)  p.205-237.

43. Y. Friedman " A new view on relativity: Part 2 RelativisticDynamics", Concepts of

      Physics,  IV N2 (2007) p.239-260.

44. A. Friedman, I. Deri, Y. Friedman, E. Dremencov , S. Goutkin, E. Kravchinsky, M. Mintz,
45. Levi, D. H. Overstreet, and G. Yadid  "Decoding of Dopaminergic Mesolimbic Activity

      and Depressive Behavior" ,  Journal of Molecular Neuroscience, 32(1) (2007) p.72-9.

44. A. Friedman, Y. Friedman, E. Dremencov , G. Yadid "VTA Dopamine Bursting is Altered

      in an Animal Model of Depression and  Corrected by Desipramine" Journal of Molecular

      Neuroscience, 34 (3) (2008) p.201-209.

45. Y. Itin and Y. Friedman "Backwards on Minkowski's road. From 4D to 3D Maxwellian

       electromagnetism", Annalen der Physik  17 No. 9-10 (2008) p769-786.

46. Y. Friedman, "Geometric tri-product of the spin domain and Clifford algebras" in Advances

       in Applied Clifford Algebras, Birkhauser, (2008) p.621-645

47. Y. Friedman and Yu. Gofman, ``A new relativistic kinematics of accelerated systems",

      Phys. Scripta,  82 (2010) 015004.

48. Y. Friedman and V. Ostapenko ``The complex pre-potential and the Aharonov-Bohm

       effect",Journal of Physics A:Mathematical and Theoretical 43 (2010) 405305.

49. Y. Friedman ``The maximal acceleration, Extended Relativistic Dynamics and Doppler type

       shift for an accelerated source", Ann.  Phys. (Berlin) 523 No. 5, (2011) 408-416.

50. Y. Friedman and I. Nowik ``Testing Einstein's time dilation under acceleration using

          Mossbauer spectroscopy", Phys.  Scripta,  85 (2012) 065702.

51. Y. Friedman and E.  Resin ``Dynamics of hydrogen-like atom bounded by maximal

       acceleration", Phys. Scripta,  86 (2012) 015002.

52. Y. Friedman and T.  Scarr `` Making the Relativistic Dynamics Equation Covariant:

       Explicit Solutions for Motion under a Constant Force", Phys. Scripta, 86 (2012) 065008.

53. Y. Friedman and T. Scarr `` Spacetime Transformations from a Uniformly  Accelerated

        Frame", Phys. Scripta, 87 (2013) 055004.

54. Y. Friedman `` Digitization of the harmonic oscillator in extended relativity", Phys.

       Scripta, 87 (2013) 065702.

55. Yaakov Friedman, Ezra Yudkin, Israel Nowik,  Israel Felner,  Hans-Christian Wille,  Ralf

      R\"olsberger,  Johann  Haber,  Gerhard Wortmann,  Shai Arogeti,  Menachem Friedman, 

       Ziv Brand,  Nissim  Levy,  Oren  Efrati,  Tanya Frumson ,  Aharon Finkelstein,  Alexander

      Chumakov,  Innokenty Kantor and  Rudolf Rueffer ``Synchrotron Radiation  Mossbauer

       spectra of rotating absorber with implications for testing velocity and acceleration time

       dilation" Journal of Synchrotron Radiation  22 (2015) 723 - 728

56. Y. Friedman ,J. M. Steiner and E. Yudkin ``Time spectrum of a coherent pulse

       propagating through a single resonant medium"  Europhysics Letters 111(2015) 34003,  

       doi: 10.1209/0295-5075/111/34003

57. Yaakov Friedman and Tzvi Scarr ``Uniform acceleration in general relativity" General

      Relativity and Gravitation 47 (2015)121  DOI: 10.1007/s10714-015-1966-5

58. Y. Friedman , J. M. Steiner `` Predicting Mercury’s precession using simple relativistic

       Newtonian dynamics"   Europhysics Letters 113 (2016) 39001,

        doi: 10.1209/0295-5075/113/39001

59. Tzvi Scarr and Yaakov Friedman `` Solutions for uniform acceleration in general relativity" General Relativity and Gravitation 48(5) (2016), 1-10 DOI: 10.1007/s10714-016-2062-1
60. Y. Friedman, I. Nowik, I. Felner, J. M. Steiner, E. Yudkin, S. Livshitz, H.-C. Wille, G.

      Wortmann, S. Arogeti,  R. Levy,  A. I. Chumakov, and R. Ruffer ``Impact of non-random

      vibrations in Mossbauer rotor experiments testing time dilation "   Europhysics Letters

     114 (2016) 50010, doi: 10.1209/0295-5075/114/50010

61. Y. Friedman `` Relativistic Newtonian dynamics under a central force Europhysics Letters 116 (2016) 19001, doi: 10.1209/0295-5075/116/19001
62. Y. Friedman, S. Livshitz and J. M. Steiner `` Predicting the relativistic periastron advance

      of a binary without curving spacetime"   Europhysics Letters 116 (2016) 59001

63. Y. Friedman, I. Nowik, I. Felner, J. M. Steiner, E. Yudkin, S. Livshitz, H.-C. Wille, G.

      Wortmann and  A. I. Chumakov `` Advances in testing the effect of acceleration on time

     dilation using a  Synchrotron Mossbauer Source" Journal of Synchrotron Radiation  24(3),

      (2017) 661-666

64. Y. Friedman, ``Relativistic  Newtonian Dynamics for Objects and Particles"    Europhysics

      Letters 117 (2017) 49003

65. Y. Friedman and J. M. Steiner `` Gravitational Deflection in Relativistic Newtonian

       Dynamics "   Europhysics Letters 117 (2017) 59001

66. Y. Friedman, T. Scarr and J. M. Steiner ``A geometric relativistic dynamics under any

       conservative force” International Journal of Geometric Methods in Modern Physics 16

       (2019) 1950015

67. Y. Friedman, J. M. Steiner, S. Livshitz, E. Perez, I. Nowik, I. Felner, H.-C. Wille, G.

        Wortmann, O. Efrati, A. Finkelstein, S. Petitgirard,A. I. Chumakov and D. Bessas

   “The validity of an experiment testing the influence of acceleration on time dilation using a

      rotating Mossbauer absorber and a Synchrotron Mossbauer Source”  Journal of Synchrotron

      Radiation  26(2) (2019) 473-482, https://doi.org/10.1107/S1600577519000857

68. Y. Friedman and T. Scarr ``Relativity from the geometrization of Newtonian dynamics”

       Europhysics Letters 125 (2019) 49001

69. Y. Friedman and S. Stav ``New metrics of a spherically symmetric gravitational field

       passing classical tests of General Relativity”   Europhysics Letters 126 (2019) 29001

 

6.2 Peer-Reviewed Papers in Refereed Conference Proceedings (not abstracts)

 

1. Y. Friedman, B. Russo, " Contractive projections on -algebras", Proceeding of Symposia

     in Pure Mathematics, 38  part 2 (1982), p.615-618.

2. T. Dang, Y. Friedman and B. Russo, " Affine geometric proofs of the Banach-Stone

       theorems of Kadison and Kaup", Proc. of the 1987 Great Plains Operator Theory Seminar,

     Rocky Mountain. J. Math.,  2, N. 2, (1990), p.409-428.

3. Y. Friedman, " Bounded symmetric domains and the -triple structure in physics",

    Jordan Algebras, Proceedings of the Conference held in Oberwolfach, Germany, Walter de

   Gruver, (1994), p.61-82.

4. U. Sandler, Y. Friedman "A new approach to fuzzy dynamics", Proc. of the 12^th IAPR

      International Conference, Jerusalem, Israel, (1994), p.615-618.

5. Y. Friedman, U. Sandler, " Fuzzy Dynamics as an alternative to Statistical Mechanics",

     Proc. of the International Conf. on Fuzzy Logic and Applications, Zichron Yaakov,

     Israel,(1997),  p.45-52.

6. Y. Friedman, U. Sandler, "Fuzzy dynamics, A new way of description of uncertainty in

     complex systems", Proc. of the Seventh IFSA'97 World congress, Prague, (1997), 4, p.152-

     155.

7. Y. Friedman, U. Sandler, "Fuzzy dynamics of Immune system: T-lymphocytes maturation",

      Proc.  of the Seventh IFSA'97 World congress, Prague, (1997), v4,  p.156-158.

8. Y. Friedman, O. Savelzon, " The basic task of modern education: To prepare students for

    rational adaptation in the rapidly changing world",  Proc. Int. Educational Summit ''Towards

    The Global University: Strategies For The third Millennium,'' Tours, Loire Valley, France,

    (1998), p.57-66.

9. Y. Friedman, U. Sandler, " Fuzzy logic as a natural basis for dynamics theory", Proc.

     Seventh International Conference on Information Processing and Management of

     Uncertainty - IMPU'98, (1998), v.2, p.925-931.

10. Y. Friedman, U. Sandler, " Prediction based on Fuzzy State Dynamics", Proc. Seventh

      International Conference on Information Processing and Management of Uncertainty –

      IMPU'98, (1998), v.1, p.136-143,

11. Y. Friedman, U. Sandler, " Fuzzy logic and Dynamics Theory of complex systems",

       Proceedings Sixth European Congress on Intelligent Techniques and Soft Computing –

       EUFIT'98, (1998),  1, p.66-70,

12. Y. Friedman, Yu. Gofman, "Transformation between Accelerated Systems Based on

      Symmetry", in Gravitation, Cosmology and Relativistic  Astrophysics, A Collection of

      Papers (Kharkov National University,  Kharkov, Ukraine, (2004), 102.

13. Y. Friedman, M. Danziger, "The complex Faraday tensor for relativistic evolution of a

      charged particle in a constant field", PIERS Proceedings, July 2-6(2008)  , Cambridge,  

       USA, 529-533.  

14. Y. Friedman and T. Scarr, "Covariant Uniform Acceleration" , IARD 2012,Journal of

      Physics: Conference Series 437 (2013) 012009

15. Y. Friedman "Extending the Relativity of Time" , Proceedings of IARD 2012, Journal of

       Physics: Conference Series 437 (2013) 012017

16. Y. Friedman "The wave-function description of the electromagnetic field" , IARD 2012,

      Journal of Physics: Conference Series 437 (2013) 012018

17. Y. Friedman and T. Scarr, "A complete characterization of Relativistic Uniform

       Acceleration" , IARD 2016, Journal of  Physics: Conference Series  845 (2017) 012008

18. Y. Friedman and J. M. Steiner, "Relativistic Newtonian Dynamics" , IARD 2016, Journal

      of  Physics: Conference Series 845 (2017) 012028

19. Y. Friedman and T. Scarr, " Geometrization of Newtonian Dynamics" , IARD 2018,

       Journal of  Physics: Conference Series 1239 (2019) 012011

 

 

6.3 Presentations at Conferences with Published Proceedings.

 

6.4 Patents 

Two patents submitted by Memsys Ltd. in Israel and to PCT.

 In these patent a new mathematical method for information compression of the description of defectiveness of large scale electronic devices is proposed. By use of this method and methods of Operations Research a production process for component recovery of defective memory elements was developed and successfully implemented.

 

6.5 Books, Book Sections

1. Friedman with the assistance of T. Scarr, "Physical Applications of Homogenous Balls", Progress in Mathematical Physics 40, Birkhauser, Boston (2005), 279 pages

1984-86  NSF Grant DMS-8402640, "Structure and Representation of Operator Systems, "

1. Russo and Y. Friedman.

1986-88  NSF Grant DMS-86-03064, "Structure and Application of Operator Triple Systems".

1. Russo and Y. Friedman

1989-92  BSF Grant 88-00066, "Structure and  Application Of Facially Symmetric Spaces,

        Derivations of Operator Triple Systems"., Y. Friedman, B. Russo and T. Barton

2010-14   German-Israel Foundation for Scientific Research and Development: GIF No. 1078-

         107.14/2009"Exploring the full range of electrodynamics: from applied physics to general

          relativity "., Y. Friedman, Y. Itin, F. Hehl and C. Laemmerzahl

 2013    Deutsches Elektronen-Synchrotron, PETRAIII,Hamburg, Germany: Experiment

          I-20130242 “Testing the Clock Hypothesis of Relativity Theory via Nuclear Resonant

          scattering” under leadership -R. Röhlsberger

2014  ESRF - The European Synchrotron, Nuclear Resonance Beamline ID18, Grenoble, 

          France, Experiment HC-1361 “Testing the Clock Hypothesis of Relativity Theory via

           Nuclear Resonant scattering” under leadership -R. Röhlsberger

2016  ESRF - The European Synchrotron, Nuclear Resonance Beamline ID18, Grenoble,

           France, Experiment HC-1898 “Testing the Clock Hypothesis and Time Dilation via

          Nuclear Forward Scattering” under leadership - Y. Friedman

2017 ESRF - The European Synchrotron, Nuclear Resonance Beamline ID18, Grenoble,

          France, Experiment HC-3065 “Testing the Clock Hypothesis using a Synchrotron

          Mossbauer Source” under leadership - Y. Friedman

1. Referee for Applied Optics, Physica Scripta, The European Physical Journal – Plus, Annals

    of Physics, General Relativity and Gravitation, EPL and others

2. Coordinator of the Review committee for the Computer department at JCT that developed

     the new curriculum for this department.

3.Coordinator of the committee for the second degree program in Computer Based Systems.

4. Coordinator of the Review committee for the Electro-optics department at JCT that

    developed the new curriculum for this department.

5. 2005-2008: Head of the board of the Haredi Center for Technological Studies.
6. Invited talks: 1. Plenary invited lecture at the 7th International Congress of Clifford Algeras

    2005 Toulouse.  2.  Invited lecture at Colloquium on Integrable Systems 2005 in Prague

3. Invited plenary lecture at Workshop on Jordan  Structures in analysis and geometry 2006 at

     Kaohsiung Taiwan

4. Invited plenary lecture at IARD 2012, Florence, Italy
5. Invited plenary lecture at IARD 2016, Ljubljana, Slovenia