List of papers:
Updated January 15, 2008
- 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) Different conceptions of Euclidean geometry Available at
http://arXiv.org/abs/0709.2755
- Rylov Yu. A. (2007) Godel's theorem as a corollary of impossibility of complete axiomatization of geometry Available at http://arXiv.org/abs/physics/0709.078
- 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. (2007) Nonunique solution of the Cauchy problem for vortical flow of ideal barotropic fluid? (Available at
http://arXiv.org/abs/physics/0701016)
- 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)
- Rylov Yu. A. (2006) Uniform formalism for description of dynamic 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/mat.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" .Ãèïåðêîìïëåêñíûå ÷èñëà â ãåîìåòðèè è ôèçèêå 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 veresion 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).
- 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 Clefford Algebras,
5, pp 1-40, (1995)).
- 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) .