List of papers:
Updated April 22, 2009
- Rylov Yu. A. (2009) Relativistic nearness of events and deformation principle
as tool of the relativity theory generalization on the arbitrary
space-time geometry. Available at http://arXiv.org/abs/0910.3582v2
- 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/0811.4562 .
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) Discriminating
properties of the space-time compactification Available at http://arXiv.org/abs/0809.2516
- 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
- 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/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
)
- 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/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" .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 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 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) .