List of papers:

Updated April 23, 2012

• Rylov Yu. A. (2012) Tachyons and tachyon gas in discrete space-time geometry
• Rylov Yu. A. (2012) Neutrino world chain in framework of skeleton conception of particle dynamics. Int. J. Theor. Phys. (2012), DOI: 10.1007/s10773-012-1158-y
• Rylov Yu. A. (2011) Metrical approach to geometry and discrete space-time geometry
• Rylov Yu. A. (2011) Explanation of OPERA effect in skeleton conception of the elementary particle dynamics
• Rylov Yu. A. (2011) Discrete space-time geometry and skeleton conception of particle dynamics International Journal of Theoretical Physics. DOI: 10.1007/s10773-011-1061-y Available at http://arXiv.org/abs/1110.3399v1
• Rylov Yu. A. (2011) Physics geometrization in microcosm: discrete space-time and relativity theory (Review) Available at http://arXiv.org/abs/1006.1254v2
• Rylov Yu. A. (2011) Incompleteness of the particle dynamics in microcosm and the skeletonconception of elementary particles as overcoming of this incompleteness Available at http://arXiv.org/abs/0811.4562v3
• Rylov Yu. A. (2011) Discriminating properties of compactification in discrete uniform isotropic space-time Available at http://arXiv.org/abs/0809.2516v2
• Rylov Yu. A. (2011) Different conceptions of Euclidean geometry and their application to the space-time geometry Available at http://arXiv.org/abs/0709.2755v4
• Rylov Yu. A. (2010) Uniform formalism for description of dynamic, quantum and stochastic systems http://arXiv.org/abs/physics/0603237v6
• Rylov Yu. A. (2010) Induced antigravitation in the extended general relativity . Gravitation and Cosmology, 2012, Vol. 18, No. 2, pp. 107–112,( 2012). DOI: 10.1134/S0202289312020089
• Rylov Yu. A. (2010) General relativity extended to non-Riemannian space-time geometry. Available at http://arXiv.org/abs/0910.3582v7
• Rylov Yu. A. (2010) Monistic conception of geometry. Available at http://arXiv.org/abs/1009.2815
• Rylov Yu. A. (2010) Generalization of particle dynamics on the case of arbitrary space-time geometry Report at the conference Modern Problems of Gravitation, Cosmology and Relativistic Astrophysics. June27 –July 3, 2010, PFUR, Moscow, Russia.
• Rylov Yu. A. (2010) Generalization of the relativity theory on the arbitrary space-time geometry . Report at the conference Modern Problems of Gravitation, Cosmology and Relativistic Astrophysics. June27 –July 3, 2010, PFUR, Moscow, Russia.
• Rylov Yu. A. (2010) Logical reloading in statistical description of particle dynamics Available at http://arXiv.org/abs/1006.1254v1
• Rylov Yu. A. (2010) Logical reloading as overcoming of crisis in geometry. Available at http://arXiv.org/abs/1005.2074
• Rylov Yu. A. (2010) Necessity of the general relativity revision and free motion of particles in non-Riemannian space-time geometry Available at http://arXiv.org/abs/1001.5362v1
• Rylov Yu. A. (2009) Interfusion, labeling and stream lines in flow of inviscid barotropic fluid
• Rylov Yu. A. (2009) Geometric paradigm is a necessity but not a hypothesis. (Report on the conference PIRT2009)
• Rylov Yu. A. (2009) Abel Prize 2009 as a necessitation to discussion on geometry, or physicist versus geometers. Available at http://arXiv.org/abs/0904.3361
• Rylov Yu. A. (2008) Some subtleties of Riemannian geometry Available at http://arXiv.org/abs/0812.2833
• Rylov Yu. A. (2008) Generalization of relativistic particle dynamics on the case of non-Riemannian space-time geometry Available at http://arXiv.org/abs/0811.4562v2 . Concepts of Physics 6, iss.4, 605, (2009). ISSN1897-2357. There are comments to considerations of this paper in a scientific journal
• Rylov Yu. A. (2008) Granular geometry of space-time as a result of Newtonian investigation strategy
• Rylov Yu. A. (2008) Why does the Standard Model fail to explain the elementary particles structure? Available at http://arXiv.org/abs/0810.0982
• Rylov Yu. A. (2008) Geometries with intransitive equivalence relation Available at http://arXiv.org/abs/0807.2034
• Rylov Yu. A. (2008) Multivariance as a crucial property of microcosm Available at http://arXiv.org/abs/0806.1716 . Concepts of Physics 6, iss.1, 89 -117, (2009). ISSN1897-2357.
• Rylov Yu. A. (2008) Geometrical dynamics: spin as a result of rotation with superluminal speed Available at http://arXiv.org/abs/0801.1913
• Rylov Yu. A. (2007) Discrimination of particle masses in multivariant space-time geometry Available at http://arXiv.org/abs/0712.1335
• Rylov Yu. A. (2007) Godel's theorem as a corollary of impossibility of complete axiomatization of geometry Available at http://arXiv.org/abs/0709.0783
• Rylov Yu. A. (2007) Deformation principle and further geometrization of physics Available at http://arXiv.org/abs/0704.3003
• Rylov Yu. A. (2007) Non-Euclidean method of the generalized geometry construction and its application to space-time geometry in Pure and Applied Differential geometry pp.238-246. eds. Franki Dillen and Ignace Van de Woestyne. Shaker Verlag, Aachen, 2007. Available at http://arXiv.org/abs/Math.GM/0702552 )
• Rylov Yu. A. (2006) Non-Riemannian geometry as a reason of the third modification of the space-time geometry Available at http://arXiv.org/abs/physics/0612138 )
• Rylov Yu. A. (2006) Crisis in the geometry development and its social consequences (Available at http://arXiv.org/abs/math.GM/0609765 )
• Rylov Yu. A. (2006) Author's comments to referee's reports on the paper by Y. A. Rylov "Dynamical methods of investigation in application to the Dirac particle", submitted to a scientific journal
• Rylov Yu. A. (2006) Incompatibility of the Copenhagen interpretation with quantum formalism and its reasons (Available at http://arXiv.org/abs/physics/0604111 ). Concepts of Physics 5, iss.2, 323-328, (2008). ISSN1897-2357
• Rylov Yu. A. (2006): Uniform formalism for description of dynamic quantum and stochastic systems. Available at http://arXiv.org/abs/physics/0603237
• Rylov Yu. A. (2006) On strategy of relativistic quantum theory construction (Available at http://arXiv.org/abs/physics/0601095 )
• Rylov Yu. A. (2005) Contemporary development of Einstein's ideas on space-time and Brownian motion. (Report at the International conference : "Century of fundamental discoveries of Einstein. Philosophical, physical, historical problems". Moscow, 6,7 December, 2005) (Available at http://arXiv.org/abs/physics/0512069 )
• Rylov Yu. A. (2005) Euclidean geometry as algorithm for construction of generalized geometries. (Available at http://arXiv.org/abs/math.GM/0511575 )
• Rylov Yu. A. (2005) "Dynamical methods of investigations in application to the Schroedinger particle." (Published in Vestnik RUDN ser. mathematics, informatics, physics, iss. 3-4, pp. 122-129, (2007). Available at http://arXiv.org/abs/physics/0510243)
• Rylov Yu. A. (2005) Formalized procedure of transition to classical limit in application to the Dirac equation." (Report at 6th conference “Symmetry in nonlinear mathematical physics”, Kiev, June 2005),  (Available at http://arXiv.org/abs/physics/0507183 )
• Rylov Yu. A. (2005) " Dynamical methods of investigation in application to the Dirac particle."  (Available at http://arXiv.org/abs/physics/0507084
• Rylov Yu. A. (2005) " Tubular geometry construction as a reason for new revision of the space-time conception."  (Printed in What is Geometry? polimetrica Publisher, Italy, pp.201-235 http://www.polimetrica.com/polimetrica/406/ )
• Rylov Yu. A. (2005) " New crisis in geometry?." (Available at http://arXiv.org/abs/math.GM/0503261 ).
• .Rylov Yu. A. (2004) " Is the Dirac particle completely relativistic?." (Available at http://arXiv.org/abs/physics/0412032).
• Rylov Yu. A. (2004) "Deformation principle as a foundations of physical geometry and its application to the space-time geometry" .Гиперкомплексные числа в геометрии и физике 2, 69-96, (2004). (Available at http://arXiv.org/abs/physics/0411103)
• Rylov Yu. A. (2004) " Is the Dirac particle composite?." (Available at http://arXiv.org/abs/physics/0410045).
• Rylov Yu. A. (2004) " What object does the wave function describe?." (Available at http://arXiv.org/abs/physics/0405117).
• Rylov Yu. A. (2004) " Repeated dynamic quantization." (Available at http://arXiv.org/abs/physics/0403077).
• Rylov Yu. A. (2004) "Statement of problem on vortical inviscid flow of barotropic and incompressible fluids." ((Available at http://arXiv.org/abs/physics/0403010 ).  
• Rylov Yu. A. (2004) "Hydrodynamical interpretation of quantum mechanics: the momentum distribution". (Available at http://arXiv.org/abs/physics/0402068).
• Rylov Yu. A. (2004) ""Model conception of quantum phenomena: logical structure and investigation methods”. (Revised version of "Investigation methods in model conception of quantum phenomena") (Available at http://arXiv.org/abs/physics/0310050 , v2).
• Rylov Yu. A. (2004) "Coordinateless description and deformation principle as a foundations of physical geometry ". (Available at http://arXiv.org/abs/math.GM/0312160)
• Rylov Yu. A. (2003) " Investigation methods in model conception of quantum phenomena " (Strongly revised version of the previous paper "Model conception of quantum phenomena and its capacities"), (Available at http://arXiv.org/abs/physics/0302022 , v3).
• Rylov Yu. A. (2003) " Hydrodynamic equations for incompressible inviscid fluid in terms of generalized stream function" . Int. J. Math. & Mat. Sci. vol. 2004, No. 11, 21 February 2004, pp. 541-570. (Available at http://arXiv.org/abs/physics/0303065 ).
• Rylov Yu. A. (2003) " Model conception of quantum phenomena and its capacities." (Available at http://arXiv.org/abs/physics/0302022 , v2 ).
• Rylov Yu. A. (2003) " Deformation principle and problem of parallelism in geometry and physics." (Modification of "Problem of parallelism in geometry and physics")
• Rylov Yu. A. (2003) Anderson's absolute objects and constant timelike vector hidden in Dirac matrices” (Available at http://arXiv.org/abs/quant-ph/0112091 ).
• Rylov Yu.A. (2003) "Classical description of pair production" (Available at http://arXiv.org/abs/physics/0301020).
• RylovYu.A. (2002) "Associatie delusions and problem of their overcoming".
• Rylov Yu. A. (2002) "Asymmetric nondegenerate geometry". Proc. of XXV workshop on the fundamental problems on high energy physics and field theory. Protvino, June 25-28 (2002) pp 154-190. ((Available at http://arXiv.org/abs/math.MG/0205061)
• Rylov Yu.A. (2002) "The Euclidean geometry deformations and capacities of their application to microcosm space-time geometry".( Available at http://arXiv.org/abs/physics/0206017)
• Rylov Yu.A. (2002) "Dynamics of stochastic systems and pecularities of measurements in them". (Available at http://arXiv.org/abs/physics/0210003 ).
• Rylov Yu.A. (2002) "Restricted linear properties of scalar product in T-geometry".
• Rylov Yu.A. (2002) "Problem of parallelism in geometry and physics".
• Rylov Yu.A. (2001) "Specification of statistical description in quantum mechanics". (In Russian) Vestnik Ross. Universiteta Dryjhby Narodov , No 12, 54-64, (2003). English version available at http://arXiv.org/abs/quant-ph/0112024 ).
• Rylov Yu.A. (2001) "Pair production problem and canonical quantization of nonlinear scalar field in terms of world lines." (Modification of  "Canonical quantization of scalar field in terms of world lines"). (Available at http://arXiv.org/abs/hep-th/0106169 ).
• Rylov Yu.A. (2001) "Dynamic disquantization of Dirac equation" (Available at http://arXiv.org/abs/quant-ph/0104060 ).
• Rylov Yu.A. (2001) "Geometry without topology as a new conception of geometry." Int. Jour. Mat. & Mat. Sci. 30,  iss. 12,  733-760, (2002), (Available at http://arXiv.org/abs/math.MG/0103002 ).
• Rylov Yu.A. (2000) "Ptolemyness of conventional program for microcosm investigations and alternative research program." Russan version: Fizicheskaya Mysl Rossii, iss.1, pp. 1-23, (2001). English version:  (Available at http://arXiv.org/abs/quant-ph/0011044 ).
• Rylov Yu.A. (2000) "Hamilton variational principle for statistical ensemble of deterministic systems and its application for ensemble of stochastic systems." RJMP, 9, iss. 3, 335-348, (2002),  (Available at http://arxiv.org/abs/math-ph/0011017 ).
• Rylov Yu.A. (2000) "Axially symmetric electromagnetic structures in astrophysics and nature of relativistic jets". Astrophys. and Sp. Sci.
• "Rylov Yu.A. (2000) "Slack mistakes and their role in natural science"
• Rylov Yu.A. (2000) "Geometry without topology" (It is slightly modified paper "Sigma-immanent form of Euclidean geometry...") (Available at http://arXiv.org/abs/math.MG/0002161 ).
• Rylov Yu.A. (1999) "Sigma-immanent form of the Euclidean geometry as a basis for non-Euclidean geometry."
• Rylov Yu.A. (1999) "Metric space: classification of finite subspaces instead of constraints on metric."  Proceedings on analysis and geometry, Novosibirsk, Publishing House of Mathematical institute, 2000. pp. 481-504, (in Russian).  English version: (Available at http://arXiv.org/abs/math.MG/9905111).
• Rylov Yu.A. (1999) "Integration of complete system of dynamic equations for ideal fluid" (Available at http://arXiv.org/abs/physics/9905044).
• Rylov Yu.A. (1999) "Description of metric space as a classification of its finite subspaces."  Fundamental'naya i Prikladnaya Matematika, 7, no.4, 1147-1175, (2001). (in Russian)
• Rylov Yu.A. (1999) "Introduction to nondegenerate geometry." (monograph in Russian, about 170pp)Preface in English, Preface in English , Short author’s review in English, Detailed author’s review in English (Postscript format about 20 pp). class=Section2>
• Rylov Yu.A. (1999) "Spin and wave function as attributes of ideal fluid". (Journ. Math. Phys. 40, pp. 256 - 278, (1999)).
• Rylov Yu.A. (1998) "T-geometry and its application to space-time model" (the monograph in Russian)
• Rylov Yu.A. (1998) "Coupled quantum-classical description in the Schroedinger representation" Int. J. Quant. Chem. 72, 483-498, (1999).
• Rylov Yu.A. (1997) "Dynamics and interpretation in quantum theory".(Annales de Fondation Luis de Broglie, 22, pp 303-332, (1997)).
• Rylov Yu.A. (1997) "Space-time distortion as a reason for quantum stochasticity".
• Rylov Yu.A. (1997) "Dispersion equation for quantum field waves".
• Rylov Yu.A. (1996): "Interplay between dynamic systems described by the Klein-Gordon and Dirac equation."   Adv.  Appl. Cliff. Alg. 9, No.2, 177-192, (1999). (Available at http://arxiv.org/abs/_math-ph/9905016).
• Rylov Yu.A. (1996): Quantum mechanics as a dynamic system. Found. Phys. 28, No.2, 245-271, (1998).
• Rylov Yu.A. (1996) " Some fundamental problems of contemporary physics".
• Rylov Yu.A. (1995) "Statistical ensemble technique in application to description of the electron".
• Rylov Yu.A. (1995) "Dirac equation in terms of hydrodynamic variables" (Advances in Applied Clifford Algebras, 5, pp 1-40, (1995)) Available at http://arXiv.org/abs/1101.5868
• Rylov Yu.A. (1995): “Inclusive model of pair production “
• Rylov Yu.A. (1995): "Statistical ensemble technique in application to description of the electron". Advances Appl. Clifford Algebras 7(S), 216-228, (1997).
• Rylov Yu.A. (1995): "Pauli electron as a dynamical system. " Found. Phys. 25, No.7.1055-1086, (1995)
• Rylov Yu.A. (1995): "Space-time distortion as a reason for quantum stochasticity" in Chaos: the interplay between stochastic and deterministiic behaviour. Eds. P.Garbachewski, M.Wolf, A.Weron, Karpacz'95 Proc.Lecture Notes in Physics. vol. 457, Springer, Berlin, pp. 523-529.
• Rylov Yu.A. (1994) "Statistical conception of quantum field theory". (Journ. Math. Phys. 35, pp. 3922 - 3935, (1994))
• Rylov Yu.A. (1992) " Distorted Riemannian space and technique of differential geometry". (Journ. Math. Phys. 33, pp 4220 - 4224, (1992)).
• Rylov Yu.A. (1991): "Non-Riemannian model of the space-time responsible for quantum effects". Journ. Math. Phys. 32(8), 2092-2098, (1991).
• Rylov Yu.A. (1990) "Extremal properties of Synge's world function and discrete geometry " . J.Math. Phys. 31, 2876-2890 (1990).
• Rylov Yu.A. (1990): "Canonical quantization of the scalar field in terms of world lines". (Unpublished)
• Rylov Yu.A. (1989): "The global structure of the pulsar magnetospheres". Astrophys. Sp. Sci.158, 297-333.
• Rylov Yu.A. (1989): "The algebraic structure of the electromagnetic tensor and description of charged particles moving in the strong electromagnetic field". J. Math. Phys. 30, 521-536.
• Rylov Yu.A. (1989): "The equation for isentropic motion of inviscid fluid in terms of wave function" J. Math. Phys. 30, 2516-2520, (1989).
• Rylov Yu.A. (1988): "Self-consistent model of the global structure of axially symmetric pulsar magnetosphere in massless approximation". Astrophys. Sp. Sci. 143, 269-300.
• Rylov Yu.A. (1987): "A computer simulation of the particle acceleration in the pulsar magnetosphere". Astrophys. Sp. Sci. 132, 353-386.
• Rylov Yu.A. (1985): "The structure of polar caps and the equatorial belt of pulsars". Astrophys. Sp. Sci. 117, 5-34.
• Rylov Yu.A. (1982): "The production of electron-positron bunches in a pulsar magnetosphere and their thermal radioemission". Astrophys. Sp. Sci. 88,173-184.
• Rylov Yu.A. (1981): "Electron-positron pair production in the pulsar magnetosphere" Astrophys. Sp. Sci. 75, 423-436.
• Rylov Yu.A. (1980): "Quantum mechanics as relativistic statistics.III: A relativistic particle in two-dimensional space-time" Int. J. Theor. Phys. 19, 645, (1980)..
• Rylov Yu.A. (1979): "Acceleration of electrons in an internal zone of the pulsar electron cap". Astrophys. Sp. Sci. 66, 401-428.
• Rylov Yu.A. (1978): "On a klystron mechanism of generation of vibrations in pulsar magnetosphere". Astrophys. Sp. Sci. 53, 377-402.
• Rylov Yu.A. (1977): "The correspondence principle and measurability of physical quantities in quantum mechanics" in Uncertainty Principle and Foundations of Quantum Mechanics. ed. W.Price and S.Chissick, Wiley, N.Y. p.109.
• Rylov Yu.A. (1977): "On the electron cap shape of a rotating neutron star with a strong magnetic field". Astrophys. Sp. Sci. 51, 59.
• Rylov Yu.A. (1976): "Electron regions and proton ones in the magnetosphere of a rotating neutron star with a strong magnetic field". Sov. Astron. AJ. 20, 23.
• Rylov Yu.A. (1973): "Quantum mechanics as relativistic statistics.II: The case of two interacting particles." Int. J. Theor. Phys. 8, 123-139.
• Rylov Yu.A. (1973): "Quantum mechanics as relativistic statistics.I: The two-particle case." Int. J. Theor. Phys. 8, 65-83.
• Rylov Yu.A. (1972):"On quantization of non-linear relativistic field without recourse to perturbation theory". Int. J. Theor. Phys. 6, 181-204.
• Rylov Yu.A. (1971): "Quantum Mechanics as a theory of relativistic Brownian motion". Ann. Phys. (Leipzig). 27, 1-11.
• Rylov Yu.A. (1970): "On connection between the energy-momentum vector and canonical momentum in relativistic mechanics". Teoretischeskaya i Matematischeskaya Fizika. 2, 333-337.(in Russian). Theor. and Math. Phys. (USA), 5, 333, (1970) (trnslated from Russian)
• Rylov Yu.A. (1964): "Relative gravitational field and conservation laws in general relativity". Ann. Phys.(Leipzig) 12, 329-353.
• Rylov Yu.A. (1964): "Particles of half-integer spin in universal 6-dimensional space". Vestnik Moskovskogo Universiteta ser. fiz-astr. No 3, 13. (in Russian)
• Rylov Yu.A. (1963): "On universal 6-dimensional space". Vestnik Moskovskogo Universiteta ser. fiz-astr. No 6, 23. (in Russian)
• Rylov Yu.A. (1963): "Normal coordinates and the general relativity principle" Vestnik Moskovskogo Universiteta ser. fiz.-astr. No 3, 55. (in Russian)
• Rylov Yu.A. (1962): "On relative energy of static spherically symmetric gravitational field". VestnikMoskovskogo Universiteta ser. fiz. No 6, 45. (in Russian)
• Rylov Yu.A. (1962): "On relative localization of the gravitational field". Vestnik Moskovskogo Universiteta No.5, 70. (in Russian)
• Rylov Yu.A. (1962): "On a possibility of the Riemannian space description in terms of a finite interval". Izvestiya Vysshikh Uchebnych Zavedenii, Matematika. No.3(28), 131-142. (in Russian)
• Rylov Yu.A. (1961):"On singularity on the gravitational radius at the Schwarzschild solution". Zhurnal Eksperimental'noi i Teoretischeskoi Fiziki. 40, 1041. (in Russian) .