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, pp. 123-130.
  2. "Mach's Principle and Differentiable Manifolds", Acta Physica Polonica B1, 1970, z. 2, pp. 131-138.
  3. M. Heller, Z. Klimek, L. Suszycki, "Imperfect Fluid Friedmannian Cosmology", Astrophysics and Space Science 20, 1973, pp. 205-212.
  4. M. Heller, L. Suszycki, "Dust-Filled Viscous Universes", Acta Physica Polonica B5, 1974, pp. 345-351.
  5. "On the Interpretative Paradox in Cosmology", Acta Cosmologica 2, 1974, pp. 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.:] M.S. Longair, Reidel Publishing Company 1974, pp. 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.:] M.S. Longair, Reidel Publishing Company 1974, pp. 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, pp. 41-44.
  12. "Space-Time Manifolds and the Inertial Frames", Acta Cosmologica 32, 1975, pp. 45-48.
  13. "Rotating Bodies in General Relativity", Acta Cosmologica 32, 1975, pp. 97-107.
  14. "Global Time Problem in Relativistic Cosmology", Annales de la Société Scientifique de Bruxelles 4/89, 1975, pp. 522-532.
  15. M. Heller, M. Reinhardt, "Meaningless Questions in Cosmology and Relativistic Astrophysics", Zeitschrift für Naturforschung 31a, 1976, pp. 1271-1276.
  16. "Space-Time Structures", Acta Cosmologica 6, 1977, pp. 109-128.
  17. "Nabludatelnyje osnowania kosmołogiczeskich gipotez", [w:] Kosmologia - tieoria i nabludienia, Izd. Mir, Moskwa 1978, ss. 15-26.
  18. "Wlijanije obiemnoj wjaskosti na suszczestwowanije naczalnoj singuljarnosti", [w:] Kosmologia - tieoria i nabludienia, Izd. Mir, Moskwa 1978, ss. 366-368.
  19. "Singularities in Viscous Universes", Acta Cosmologica 7, 1978, pp. 7-15.
  20. "Local - Large Scale - Global. On Certain Methodological Questions of Cosmology", Acta Cosmologica 7, 1978, pp. 83-99.
  21. M. Heller, T. Grabińska, M. Zabierowski, "Local Electromagnetic Field Propagation in the Imperfect Fluid Friedman Cosmology", Acta Physica Polonica B10, 1979, pp. 663-665.
  22. "The Manifold Model for Space-Time", Acta Cosmologica 10, 1981, pp. 33-50.
  23. "Relativistic Model for Space-Time", Acta Cosmologica 10, 1981, pp. 53-69.
  24. M. Heller, A. Staruszkiewicz, "Fuzzy Space-Time", Zeitschrift für Naturforschung 36a, 1981, pp. 609-610.
  25. "Matter and Radiation Models in the Standard Universe", Acta Cosmologica 11, 1982, pp. 11-25.
  26. M. Heller, M. Szydłowski, "Remark on an Application of the Banach Metric Method to Cosmology", Acta Physica Polonica B13, 1982, pp. 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, pp. 425-433.
  28. M. Heller, M. Szydłowski, "Viscous Cosmological Models with Matter and Radiation", Acta Physica Polonica B14, 1983, pp. 303-306.
  29. M. Heller, M. Szydłowski, "Tolman's Cosmological Models", Astrophysics and Space Science 90, 1983, pp. 327-335.
  30. M. Heller, Z. Golda i M. Szydłowski, "Structurally Stable Approximations to Friedman-Lemaître World Models", Astrophysics and Space Science 90, 1983, pp. 313-326.
  31. M. Szydłowski, M. Heller, "Equation of State and Equation Symmetries in Cosmology", Acta Physica Polonica B14, 1983, pp. 571-580.
  32. J. Gruszczak, M. Heller, M. Szydłowski, "The Universe as a Stochastic Process", Physics Letters 100A, 1984, pp. 82-84.
  33. M. Szydłowski, M. Heller, Z. Golda, "Structural Stability Properties of Friedman Cosmology", General Relativity and Gravitation 16, no 9, 1984, pp. 877-890.
  34. J. Gruszczak, M. Heller, "Singularities in a Stochastically Predictable Universe", Physics Letters 106A, 1984, pp. 13-15.
  35. M. Heller, P. Multarzyński, W. Sasin, "The Algebraic Approach to Space-Time Geometry", Acta Cosmologica 16, 1984, pp. 53-55.
  36. "Physics and Cosmology - Geometry for Grand Unification", Acta Cosmologica 13, 1985, pp. 35-54.
  37. M. Heller, G. Siemieniec, "Empirical Evidence for Inertial Mass Anisotropy", Acta Cosmologica 13, 1985, pp. 55-63.
  38. M. Szydłowski, M. Heller, Z. Golda, "Stochastic Properties of the Friedman Dynamical System", Acta Physica Polonica B16, 1985, pp. 791-798.
  39. M. Heller, M. Szydłowski, A. Woszczyna, "Cosmic Time and Chaos", Acta Physica Polonica B17, 1986, pp. 11-18.
  40. M. Szydłowski, M. Heller, Z. Golda, "Stochastic Time Scale for the Universe", Acta Physica Polonica B17, 1986, pp. 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, pp. 1199-1205.
  42. "On the Cosmological Problem", Acta Cosmologica 14, 1986, pp. 57-72.
  43. "Big Bang on Ultimate Questions", [in:] Origin and Early History of the Universe, Proceedings of the 26th Lige International Astrophysical Colloquium, July 1-4, 1986, Université de Liège, Institut d'Astrophysique 1987, pp. 411-431.
  44. M. Demiański, M. Heller, M. Szydłowski, "Dynamics of Multidimensional Generalization of Bianchi Type - IX Cosmological Models", Physical Revue D36, 1987, pp. 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, pp. 733-742.
  46. J. Gruszczak, M. Heller, P. Multarzyński, "A Generalization of Manifolds as Space-Time Models", Journal of Mathematical Physics 29 (December) 1988, pp. 2576-2580.
  47. P. Multarzyński, M. Heller, "The Differential and Cone Structures of Space-Time", Foundations of Physics 20, 1990, pp. 1005-1015.
  48. A. Woszczyna, M. Heller, "Is a Horizon-free Cosmology Possible", General Relativity and Gravitation 22, no 12, 1990, pp. 1367-1386.
  49. M. Heller, W. Sasin, "Regular Singularities in Space-Time", Acta Cosmologica 17, 1991, pp. 7-18.
  50. M. Heller, P. Multarzyński, W. Sasin, Z. Żekanowski, "Local Differential Dimension of Space-Time", Acta Cosmologica 17, 1991, pp. 19-26.
  51. J. Gruszczak, M. Heller, Z. Pogoda, "Cauchy Boundary and b-Incompleteness of Space-Time", International Journal of Theoretical Physics 30, 1991, pp. 555-565.
  52. "Algebraic Foundations of the Theory of Differential Spaces", Demonstratio Mathematica 24, no 3-4, 1991, pp. 349-364.
  53. "Einstein Algebras and General Relativity", International Journal of Theoretical Physics 31, no 2, 1992, pp. 277-278.
  54. M. Heller, P. Multarzyński, W. Sasin. Z. Żekanowski, "On Some Generalizations of the Manifold Concept", Acta Cosmologica 18, 1992, pp. 31-44.
  55. J. Gruszczak, M. Heller, W. Sasin, "Quasiregular Singularity of a Cosmic String", Acta Cosmologica 18, 1992, pp. 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, pp. 57-75.
  57. T. Stawicki, M. Szydłowski, M. Heller, "On Dynamical Dimensional Reduction", Physics Letters A173, 1993, pp. 247-251.
  58. "Geometry of Transition to Quantum Gravity Regime", Acta Physica Polonica B24, 1993, pp. 911-926.
  59. M. Heller, W. Sasin, "Generalized Friedman's Equation and Its Singularities", Acta Cosmologica 19, 1993, pp. 23-33.
  60. W. Sasin, M. Heller, "Space-Time with Boundary as a Generalized Differntial Space", Acta Cosmologica 19, 1993, pp. 35-44.
  61. A. Woszczyna, M. Heller, "Particle Horizon - A Generic Property of the Universe", Acta Cosmologica 19, 1993, pp. 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, pp. 625-648.
  63. M. Szydłowski, M. Heller, B. Łapeta, "Evolution of the Density Parameter in Multidimensional Cosmologies", Physical Revue D47, 1993, pp. 460-467.
  64. M. Heller, W. Sasin, "The Structure of the b-Completion of Space-Time", General Relativity and Gravitation 26, 1994, pp. 797-811.
  65. M. Szydłowski, M. Heller, "Lyapunov Characteristic Time Scale in the Mixmaster World Models", Acta Cosmologica 20, no 1, 1994, pp. 17-26.
  66. "Space and Time in Quantum Mechanics", Acta Cosmologica 20, no 2, 1994, pp. 129-145.
  67. M. Heller, W. Sasin, "Sheaves of Einstein Algebras", International Journal of Theoretical Physics 34, 1995, pp. 387-398.
  68. M. Heller, W. Sasin, "Structured Spaces and Their Application to Relativistic Physics", Journal of Mathematical Physics 36, 1995, pp. 3644-3662.
  69. M. Heller, W. Sasin, "Anatomy of the Elementary Quasi-Regular Singularity", Acta Cosmologica 21, no 1, 1995, pp. 47-60.
  70. M. Heller, W. Sasin, "Superstructured Spaces", Acta Cosmologica 21, no 1, 1995, pp. 61-70.
  71. "Commutative and Non-commutative Einstein Algebras", Acta Cosmologica 21, no 2, 1995, pp. 235-245.
  72. M. Szydłowski, M. Heller, W. Sasin, "Geometry of Spaces with the Jacobi Metric", Journal of Mathematical Physics 37, 1996, pp. 346-360.
  73. M. Heller, W. Sasin, "Noncommutative Structure of Singularities in General Relativity", Journal of Mathematical Physics 37, 1996, pp. 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, pp. 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, pp. 153-162.
  76. M. Heller, W. Sasin, "Rigorous Model of Classical Spacetime Foam", International Journal of Theoretical Physics 36, 1997, pp. 1441-1455.
  77. M. Heller, W. Sasin, D. Lambert, "Groupoid Approach to Noncommutative Quantization of Gravity", Journal of Mathematical Physics 38, 1997, pp. 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", [in:] Particles, Fields, and Gravitation, AIP Conference Proceedings, Łódź, April 1998, [ed.:] J. Rembieliński, American Institute of Physics, Woodbury, New York 1998, pp. 234-241.[vide]
  80. M. Heller, D. Lambert, J. Madore, "A Brief History of Noncommutative Space-Time", Acta Cosmologica 24, no 1, 1998, pp. 51-69.
  81. "Some Conceptual Problems of the Groupoid Approach to Noncommutative Quantization of Gravity", Acta Cosmologica 24, no 1, 1998, pp. 71-85.
  82. M. Heller, W. Sasin, "Emergence of Time", Physics Letters A250, 1998, pp. 48-54.[vide]
  83. M. Heller, W. Sasin, "Origin of Classical Singularities", General Relativity and Gravitation 31, 1999, pp. 555-570.[vide]
  84. M. Heller, W. Sasin, "Noncommutative Unification of General Relativity and Quantum Mechanics", International Journal of Theoretical Physics 38, 1999, pp. 1619-1642.[vide]
  85. M. Heller, W. Sasin, Z. Odrzygóźdź, "State Vector Reduction as a Shadow of Noncommutative Dynamics", Journal of Mathematical Physics 41, 2000, pp. 5168-5179.[vide]
  86. M. Heller, W. Sasin, "Differential Groupoids and Their Application to the Theory of Spacetime Singularities", International Journal of Theoretical Physics 41, 2002, pp. 919-937.
  87. M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, "Structure of Malicious Singularities", International Journal of Theoretical Physics 42, 2003, pp. 427-441.[vide]
  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, pp. 111-126.[vide]
  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, pp. 671-678.
  90. "Some Remarks on the Multiverse Concept", Concepts of Physics 1, 2004, pp. 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, no 3, 2005, pp. 541-555.[vide]
  92. M. Heller, L. Pysiak, W. Sasin, "Noncommutative Dynamics of Random Operators", International Journal of Theoretical Physics 44, 2005, no 6, pp. 619-628.[vide]
  93. M. Heller, L. Pysiak, W. Sasin, "Noncommutative Unification of General Relativity and Quantum Mechanics", Journal of Mathematical Physics 46, 2005, pp. 122501-16.
  94. "Evolution of Space-Time Structures", Concepts of Physics 3, 2006, pp. 119-133.[vide]
  95. M. Heller, L. Pysiak, W. Sasin, "Inner Geometry of Random Operators", Demonstratio Mathematica 39, no 4, 2006, pp. 971-978.
  96. M. Heller, L. Pysiak, W. Sasin, "Conceptual Unification of Gravity and Quanta", International Journal of Theoretical Physics 46, 2007, pp. 2492-2512.[vide]
  97. M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, "Anatomy of Malicious Singularities", Journal of Mathematical Physics 48, 2007, pp. 092504-092511.[vide]
  98. M. Heller, Z. Odrzygóźdź, L. Pysiak, W. Sasin, "Gravitational Aharonov-Bohm Effect", International Journal of Theoretical Physics DOI 101007-008-9690-5, vol. 47, no 10, 2008, pp. 2566-2575
  99. "Predictability, Measurements and Cosmic Time", [in:] Predictability in Science: Accuracy and Limitations, The Proceedings of the Plenary Session 3-6 November 2006, Pontificia Academia Scientiarum, Acta 19, Vatican City, 2008, pp. 155-161.
  100. "The Existence of Singularities and the Origin of Space-Time", Zagadnienia Filozoficzne w Nauce 43, 2008, ss. 35-43.[vide]
  101. "Where Physics Meets Metaphysics", [in:] A. Connes, M. Heller, Sh. Majid, R. Penrose, J. Polkinghorne, A. Tylor, On Space and Time, [ed.:] Sh. Majid, Cambridge University Press, Cambridge 2008, pp. 238-277.

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