Prof. Michael Heller, Publications


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Research Papers (Mathematical Physics, Cosmology)

  1. Some Remarks About Two Trials of Mach's Principle Realization, Acta Physica Polonica B1, 1970, z. 2, s. 123-130.
  2. Mach's Principle and Differentiable Manifolds, Acta Physica Polonica B1, 1970, z. 2, s. 131-138.
  3. M. Heller, Z. Klimek, L. Suszycki, Imperfect Fluid Friedmannian Cosmolo­gy, Astrophysics and Space Science 20, 1973, s. 205-212.
  4. M. Heller, L. Suszycki, Dust-Filled Viscons Universes, Acta Physica Polonica B5, 1974, s. 345-351.
  5. On the Interpretative Paradox in Cosmology, Acta Cosmologica 2, 1974, s. 37-41.
  6. M. Heller, Z. Klimek, K. Rudnicki, Observational Foundations for Assumptions in Cosmology, in: Confrontation of Cosmological Theories with Observational Data (Symposium IAU, Cracow), ed. by M.S. Longair, Reidel Publishing Company 1974, s. 3-11.
  7. M. Heller, L. Suszycki, The Influences of Bulk Viscosity on the Existence of the Initial Singularity, in: Confrontation of Cosmological Theories with Observational Data (Symposium IAU, Cracow), ed. by M.S. Longair, Reidel Publishing Company 1974, s. 287-289.
  8. Mach's Principle and Bundle of Geometric Quantities, Astrophysics and Space Science 32, 1975, L29-L31.
  9. Energy Conditions and Inhomogenities in the Universe, Astrophysics and Space Science 33, 1975, L33-L35.
  10. M. Heller, Z. Klimek, Viscous Universes without Initial Singularity, Astrophysics and Space Science 33, 1975, L37-L39.
  11. Some Remarks about the Concept of Cosmic Time, Acta Cosmologica 32, 1975, s. 41-44.
  12. Space-Time Manifolds and the Inertial Frames, Acta Cosmologica 32, 1975, s. 45-48.
  13. Rotating Bodies in General Relativity, Acta Cosmologica 32, 1975, s. 97-107.
  14. Global Time Problem in Relativistic Cosmology, Annales de la Société Scientifique de Bruxelles 4/89, 1975, s. 522-532.
  15. M. Heller, M. Reinhardt, Meaningless Questions in Cosmology and Relativistic Astrophysics, Zeitschrift fűr Naturforschung 31a, 1976, s. 1271-1276.
  16. Space-Time Structures, Acta Cosmologica 6, 1977, s. 109-128.
  17. Nabludatelnyje osnowania kosmołogiczeskich gipotez, w: Kosmologia - tieoria i nabludienia, Izd. Mir, Moskwa 1978, s. 15-26.
  18. Wlijanije obiemnoj wjaskosti na suszczestwowanije naczalnoj singuljar­nosti, w: Kosmologia - tieoria i nabludienia, Izd. Mir, Moskwa 1978, s. 366-368.
  19. Singularities in Viscous Universes, Acta Cosmologica 7, 1978, s. 7-15.
  20. Local - Large Scale - Global. On Certain Methodological Questions of Cosmology, Acta Cosmologica 7, 1978, s. 83-99.
  21. M. Heller, T. Grabińska, M. Zabierowski, Local Electromagnetic Field Propagation in the Imperfect Fluid Friedman Cosmology, Acta Physica Polonica B10, 1979, s. 663-665.
  22. The Manifold Model for Space-Time, Acta Cosmologica 10, 1981, s. 33-50.
  23. Relativistic Model for Space-Time, Acta Cosmologica 10, 1981, s. 53-69.
  24. M. Heller, A. Staruszkiewicz, Fuzzy Space-Time, Zeitschrift fűr Natur­forschung 36a, 1981, s. 609-610.
  25. Matter and Radiation Models in the Standard Universe, Acta Cosmolo­gica 11, 1982, s. 11-25.
  26. M. Heller, M. Szydłowski, Remark on an Application of the Banach Metric Method to Cosmology, Acta Physica Polonica B13, 1982, s. 375-377.
  27. M. Heller, M. Ostrowski, A. Woszczyna, M. Szydłowski (nazwisko tego ostatniego opuszczono w druku przez pomyłkę), Steady-State versus Viscous Cosmology, Astrophysics and Space Science 87, 1982, s. 425-433.
  28. M. Heller, M. Szydłowski, Viscous Cosmological Models with Matter and Radiation, Acta Physica Polonica B14, 1983, s. 303-306.
  29. M. Heller, M. Szydłowski, Tolman's Cosmological Models, Astrophysics and Space Science 90, 1983, s. 327-335.
  30. M. Heller, Z. Golda i M. Szydłowski, Structurally Stable Approximations to Friedman-Lemaître World Models, Astrophysics and Space Science 90, 1983, s. 313-326.
  31. M. Szydłowski, M. Heller, Equation of State and Equation Symmetries in Cosmology, Acta Physica Polonica B14, 1983, s. 571-580.
  32. J. Gruszczak, M. Heller, M. Szydłowski, The Universe as a Stochastic Process, Physics Letters 100A, 1984, s. 82-84.
  33. M. Szydłowski, M. Heller, Z. Golda, Structural Stability Properties of Friedman Cosmology, General Relativity and Gravitation 16, nr 9, 1984, s. 877-890.
  34. J. Gruszczak, M. Heller, Singularities in a Stochastically Predictable Universe, Physics Letters 106A, 1984, s. 13-15.
  35. M. Heller, P. Multarzyński, W. Sasin, The Algebraic Approach to Space-Time Geometry, Acta Cosmologica 16, 1984, s. 53-55.
  36. Physics and Cosmology - Geometry for Grand Unification, Acta Cosmolo­gica 13, 1985, s. 35-54.
  37. M. Heller, G. Siemieniec, Empirical Evidence for Inertial Mass Anisotropy, Acta Cosmologica 13, 1985, s. 55-63.
  38. M. Szydłowski, M. Heller, Z. Golda, Stochastic Properties of the Friedman Dynamical System, Acta Physica Polonica B16, 1985, s. 791-798.
  39. M. Heller, M. Szydłowski, A Woszczyna, Cosmic Time and Chaos, Acta Physica Polonica B17, 1986, s. 11-18.
  40. M. Szydłowski, M. Heller, Z. Golda, Stochastic Time Scale for the Universe, Acta Physica Polonica B17, 1986, s. 19-24.
  41. M. Demiański, Z.A. Golda, M. Heller, M. Szydłowski, The Dimensional Reduction in a Multi-dimensional Cosmology, Classical and Quantum Gravity 3, 1986, s. 1199-1205.
  42. On the Cosmological Problem, Acta Cosmologica 14, 1986, s. 57-72.
  43. Big Bang on Ultimate Questions, Origin and Early History of the Universe, Proceedings of the 26th Lige International Astrophysical Colloquium, July 1-4, 1986, Université de Li ge, Institut d Astrophysique 1987, s. 411-431.
  44. M. Demiański, M. Heller, M. Szydłowski, Dynamics of Multidimensional Generalization of Bianchi Type - IX Cosmological Models, Physical Revue D36, 1987, s. 2945-2854.
  45. M. Demiański, Z.A. Golda, M. Heller, M. Szydłowski, Kantowski-Sachs Multidimensional Cosmological Models and Dimensional Reduction, Classical and Quantum Gravity 5, 1988, s. 733-742.
  46. J. Gruszczak, M. Heller, P. Multarzyński, A Generalization of Manifolds as Space-Time Models, Journal of Mathematical Physics 29 (December) 1988, s. 2576-2580.
  47. P. Multarzyński, M. Heller, The Differential and Cone Structures of Space-Time, Foundations of Physics 20, 1990, s. 1005-1015.
  48. A. Woszczyna, M. Heller, Is a Horizon-free Cosmology Possible, General Relativity and Gravitation 22, nr 12, 1990, s. 1367-1386.
  49. M. Heller, W. Sasin, Regular Singularities in Space-Time, Acta Cosmolo­gica 17, 1991, s. 7-18.
  50. M. Heller, P. Multarzyński, W. Sasin, Z. Żekanowski, Local Differential Dimension of Space-Time, Acta Cosmologica 17, 1991, s. 19-26.
  51. J. Gruszczak, M. Heller, Z. Pogoda, Cauchy Boundary and b-Incomplet­ness of Space-Time, International Journal of Theoretical Physics 30, 1991, s. 555-565.
  52. Algebraic Foundations of the Theory of Differential Spaces, Demonstratio Mathematica 24, nr 3-4, 1991, s. 349-364.
  53. Einstein Algebras and General Relativity, International Journal of Theoreti­cal Physics 31, nr 2, 1992, s. 277-278.
  54. M. Heller, P. Multarzyński, W. Sasin. Z. Żekanowski, On Some Generali­zations of the Manifold Concept, Acta Cosmologica 18, 1992, s. 31-44.
  55. J. Gruszczak, M. Heller, W. Sasin, Quasiregular Singularity of a Cosmic String, Acta Cosmologica 18, 1992, s. 45-55.
  56. M. Heller, W. Sasin, A. Trafny, Z. Żekanowski, Differential Spaces and New Aspects of Schmidt's b-Boundary of Space-Time, Acta Cosmologica 18, 1992, s. 57-75.
  57. T. Stawicki, M. Szydłowski, M. Heller, On Dynamical Dimensional Reduction, Physics Letters A173, 1993, s. 247-251.
  58. Geometry of Transition to Quantum Gravity Regime, Acta Physica Polonica B24, 1993, s. 911-926.
  59. M. Heller, W. Sasin, Generalized Friedman's Equation and Its Singulari­ties, Acta Cosmologica 19, 1993, s. 23-33.
  60. W. Sasin, M. Heller, Space-Time with Boundary as a Generalized Differntial Space, Acta Cosmologica 19, 1993, s. 35-44.
  61. A. Woszczyna, M. Heller, Particle Horizon - A Generic Property of the Universe, Acta Cosmologica 19, 1993, s. 45-57.
  62. J. Gruszczak, M. Heller, Differential Structure of Space-Time and Its Prolongations to Singular Boundaries, International Journal of Theoretical Physics 32, 1993, s. 625-648.
  63. M. Szydłowski, M. Heller, B. Łapeta, Evolution of the Density Parameter in Multidimensional Cosmologies, Physical Revue D47, 1993, s. 460-467.
  64. M. Heller, W. Sasin, The Structure of the b-Completion of Space-Time, General Relativity and Gravitation 26, 1994, s. 797-811.
  65. M. Szydłowski, M. Heller, Lyapunov Characteristic Time Scale in the Mixmaster World Models, Acta Cosmologica 20, nr 1, 1994, s. 17-26.
  66. Space and Time in Quantum Mechanics, Acta Cosmologica 20, nr 2, 1994, s. 129-145.
  67. M. Heller, W. Sasin, Sheaves of Einstein Algebras, International Journal of Theoretical Physics 34, 1995, s. 387-398.
  68. M. Heller, W. Sasin, Structured Spaces and Their Application to Relativi­stic Physics, Journal of Mathematical Physics 36, 1995, s. 3644-3662.
  69. M. Heller, W. Sasin, Anatomy of the Elementary Quasi-Regular Singu­larity, Acta Cosmologica 21, nr 1, 1995, s. 47-60.
  70. M. Heller, W. Sasin, Superstructured Spaces, Acta Cosmologica 21, nr 1, 1995, s. 61-70.
  71. Commutative and Non-commutative Einstein Algebras, Acta Cosmologica 21, nr 2, 1995, s. 235-245.
  72. M. Szydłowski, M. Heller, W. Sasin, Geometry of Spaces with the Jacobi Metric, Journal of Mathemathical Physics 37, 1996, s. 346-360.
  73. M. Heller, W. Sasin, Noncommutative Structure of Singularities in General Relativity, Journal of Mathemathical Physics 37, 1996, s. 5665-5671.
  74. La matiére, quelle importance lui donner? (La matiére vue par la physique et la cosmologie), (przekład z ang. L. Morren), Revue des Questions Scientifiques 167, 1996, s. 121-130.
  75. M. Heller, W. Sasin, The Closed Friedman World Model with the Initial and Final Singularities as Non-commutative Space, Banach Center Publications, vol. 41: Mathematics of Gravitation, part I: Lorentzian Geometry and Einstein Equations, ed. P.T. Chruściel, Warszawa 1997, s. 153-162.
  76. M. Heller, W. Sasin, Rigorous Model of Classical Spacetime Foam, International Journal of Theoretical Physics 36, 1997, s. 1441-1455.
  77. M. Heller, W. Sasin, D. Lambert, Groupoid Approach to Noncommutative Quantization of Gravity, Journal of Mathemathical Physics 38, 1997, s. 5840-5853.
  78. Teoria grawitacji i kosmologia, XXXIV Zjazd Fizyków Polskich (15-18 września 1997, Katowice), Materiały Zjazdu, red. Jerzy Warczewski, Deni-Press, Katowice 1997, ss, 52-58.
  79. M. Heller, W. Sasin, Einstein - Podolski - Rosen Experiment from Noncommutative Geometry, w: Particles, Fields, and Gravitation, AIP Conference Proceedings, Łódz, April 1998, ed. J. Rembieliński, American Institute of Physics, Woodbury, New York 1998, s. 234-241.
  80. M. Heller, D. Lambert, J. Madore, A Brief History of Noncommutative Space-Time, Acta Cosmologica 24, no 1, 1998, s. 51-69.
  81. Some Conceptual Problems of the Groupoid Approach to Noncommutative Quantization of Gravity, Acta Cosmologica 24, no 1, 1998, s. 71-85.
  82. M. Heller, W. Sasin, Emergence of Time, Physics Letters A250, 1998, s. 48-54.
  83. M. Heller, W. Sasin, Origin of Classical Singularities, General Relativity and Gravitation 31, 1999, s. 555-570.
  84. M. Heller, W. Sasin, Noncommutative Unification of General Relativity and Quantum Mechanics, International Journal of Theoretical Physics 38, 1999, s. 1619-1642.
  85. M. Heller, W. Sasin, Z. Odrzygóźdź, State Vector Reduction as a Shadow of Noncommutative Dynamics, Journal of Mathemathical Physics 41, 2000, s. 5168-5179.
  86. M. Heller, W. Sasin, Differential Groupoids and Their Application to the Theory of Spacetime Singularities, International Journal of Theoretical Physics 41, 2002, 919-937.
  87. M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, Structure of Malicious Singularities, Int. J. Theor. Phys. 42, 2003, 427-441.
  88. M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, Noncommutative Unification of General Relativity and Quantum Mechanics. A Finite Model, General Relativity and Gravitation, 36, 2004, 111-126.
  89. M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, Quantum Groupoids of the Final Type and Quantization on Orbit Spaces, Demonstratio Mathematica, 37 (no 3), 2004, 671-678.
  90. Some Remarks on the Multiverse Concept, Concepts of Physics, 1, 2004, 1-10.
  91. L. Pysiak, M. Heller, Z. Odrzygóźdź, W. Sasin, Observables in a Noncommutative Approach to the Unification of Quanta and Gravity: A Finite Model, General Relativity and Gravitation 37 (3), 2005, 541-555.
  92. M. Heller, L. Pysiak, W. Sasin, Noncommutative Dynamics of Random Operators, Int. J. Theor. Phys. 44, 2005, nr 6, 619-628.
  93. M. Heller, L. Pysiak, W. Sasin, Noncommutative Unification of General Relativity and Quantum Mechanics, Journal of Mathematical Physics 46, 2005, 122501-16.
  94. Evolution of Space-Time Structures, Concepts of Physics 3, 2006, 119-133.
  95. M. Heller, L. Pysiak, W. Sasin, Inner Geometry of Random Operators, demonstratio Mathematica 39 (nr 4), 2006, 971-978.

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