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Castro Perelman, Carlos

Author ID: castro-perelman.carlos Recent zbMATH articles by "Castro Perelman, Carlos"
Published as: Castro, Carlos; Castro Perelman, Carlos; Perelman, Carlos Castro; Castro, C.; Castro Perelman, C.; Perelman, C.

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 508 times in 229 Documents Cited by Year
Clifford algebra of spacetime and the conformal group. Zbl 1034.83002
Castro, C.; Pavšič, M.
25
2003
The extended relativity theory in Born-Clifford phase spaces with a lower and upper length scales and Clifford group geometric unification. Zbl 1084.83516
Castro, Carlos
25
2005
On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification. Zbl 1144.81321
Castro, Carlos
21
2007
Is quantum space-time infinite dimensional. Zbl 0965.83022
Castro, Carlos
18
2000
\(\mathcal W\) geometry from Fedosov’s deformation quantization. Zbl 0955.53050
Castro, Carlos
15
2000
A polynomial Weyl-invariant spinning-membrane action. Zbl 1011.81056
Castro, Carlos
14
2003
Fractal strings as an alternative justification for El Naschie’s Cantorian spacetime and the fine structure constant. Zbl 1033.81511
Castro, Carlos
14
2002
The extended relativity theory in Clifford spaces. Zbl 1278.83039
Castro, Carlos; Pavšič, Matej
13
2005
Hints of a new relativity principle from \(p\)-brane quantum mechanics. Zbl 1032.81546
Castro, Carlos
13
2000
Anti-de Sitter gravity from BF-Chern-Simons-Higgs theories. Zbl 1083.83504
Castro, Carlos
11
2002
Beyond strings, multiple times and gauge theories of area-scalings relativistic transformations. Zbl 0996.83048
Castro, Carlos
11
1999
Some consequences of Born’s reciprocal relativity in phase-spaces. Zbl 1247.83149
Castro, Carlos
11
2011
On modified Weyl-Heisenberg algebras, noncommutativity, matrix-valued Planck constant and QM in Clifford spaces. Zbl 1148.81306
Castro, Carlos
10
2006
\(SU(\infty)\) (super)gauge theories and self-dual (super)gravity. Zbl 0782.53072
Castro, Carlos
10
1993
A Clifford \(Cl(5, C)\) unified gauge field theory of conformal gravity, Maxwell and \(U(4) \times U(4)\) Yang-Mills in \(4D\). Zbl 1245.83042
Castro, Carlos
9
2012
On octonionic gravity, exceptional Jordan strings and nonassociative ternary gauge field theories. Zbl 1267.81240
Castro, Carlos
9
2012
The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids. Zbl 1152.81365
Castro, Carlos
9
2008
On \(n\)-ary algebras, branes and poly-vector gauge theories in noncommutative Clifford spaces. Zbl 1196.81216
Castro, Carlos
9
2010
\(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory. Zbl 1410.81034
Castro Perelman, Carlos
8
2019
\(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule. Zbl 1080.81567
Castro, Carlos
8
1996
On superluminal particles and the extended relativity theories. Zbl 1257.83004
Castro, Carlos
7
2012
A Chern-Simons \(E_8\) gauge theory of gravity in \(D=15\), grand unification and generalized gravity in Clifford spaces. Zbl 1140.81451
Castro, Carlos
7
2007
The status and programs of scale relativity theory. Zbl 1173.46307
Castro, Carlos
7
2001
\(p\)-branes as composite antisymmetric tensor field theories. Zbl 0926.53038
Castro, Carlos
7
1998
The extended relativity theory in Clifford phase spaces and modifications of gravity at the Planck/Hubble scales. Zbl 1298.83104
Castro, Carlos
7
2014
The generalized Moyal-Nahm and continuous Moyal-Toda equations. Zbl 0952.37038
Castro, Carlos; Plebański, Jerzy
6
1999
Higher derivative gravity and torsion from the geometry of \(C\)-spaces. Zbl 0996.83045
Castro, C.; Pavšič, M.
6
2002
Generalized \(p\)-forms electrodynamics in Clifford spaces. Zbl 1077.83024
Castro, C.
6
2004
Gravity in curved phase-spaces, Finsler geometry and two-times physics. Zbl 1247.83150
Castro, Carlos
6
2012
Noncommutative geometry, negative probabilities and Cantorian-fractal spacetime. Zbl 1040.83513
Castro, Carlos
6
2001
\(W\) gravity, \(N=2\) strings, and 2+2 \(SU^*(\infty)\) Yang-Mills instantons. Zbl 0806.58058
Castro, Carlos
5
1994
Noncommutative (super) \(p\)-branes and Moyal-Yang star products with a lower and upper scale. Zbl 1247.81517
Castro, Carlos
5
2005
Progress in Clifford space gravity. Zbl 1263.83024
Castro, Carlos
5
2013
Chern-Simons hadronic bag from quenched large-\(N\) QCD. Zbl 0977.81503
Ansoldi, S.; Castro, C.; Spallucci, E.
5
2001
Scale relativity in Cantorian \(\mathcal E^{(\infty)}\) space and average dimensions of our world. Zbl 0985.83020
Castro, Carlos; Granik, Alex
5
2001
On \(p\)-adic stochastic dynamics, supersymmetry and the Riemann conjecture. Zbl 1056.81074
Castro, Carlos
5
2003
An elementary derivation of the black hole entropy in any dimension. Zbl 1065.83034
Castro, Carlos
5
2001
The large \(N\) limit of exceptional Jordan matrix models and M, F theory. Zbl 1169.83015
Castro, Carlos
5
2007
On the Riemann hypothesis and tachyons in dual string scattering amplitudes. Zbl 1090.81046
Castro, Carlos
5
2006
String representation of quantum loops. Zbl 0962.81043
Ansoldi, Stefano; Castro, Carlos; Spallucci, Euro
5
1999
The \(N=2\) super-Wess-Zumino-Novikov-Witten model valued in superdiffeomorphism (SDIFF) \(M^ 2\) is self-dual supergravity in four dimensions. Zbl 0802.53053
Castro, Carlos
5
1994
Moyal deformations of gravity via SU(\(\infty\)) gauge theories, branes and topological Chern-Simons matrix models. Zbl 1063.83025
Castro, Carlos
5
2004
An exceptional \(E_{8}\) gauge theory of gravity in \(D = 8\), Clifford spaces and grand unification. Zbl 1181.81112
Castro, Carlos
4
2009
On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory. Zbl 1429.83071
Perelman, Carlos Castro
4
2019
Quaternionic-valued gravitation in \(8D\), grand unification and Finsler geometry. Zbl 1255.83114
Castro, Carlos
4
2012
On the four-dimensional conformal anomaly, fractal Cantorian space-time and the fine structure. Zbl 1021.81058
Castro, Carlos
4
2002
On the variable fine structure constant, strings and maximal-acceleration phase space relativity. Zbl 1036.81506
Castro, Carlos
4
2003
Nambu-Goto strings from \(SU(N)\) Born-Infeld model. Zbl 1007.83034
Ansoldi, Stefano; Spallucci, Euro; Castro, Carlos; Guendelman, E. I.
4
2002
On \((2+2)\)-dimensional space-times, strings and black holes. Zbl 1127.83011
Castro, C.; Nieto, J. A.
4
2007
On Chern-Simons (super) gravity, \(E_{8}\) Yang-Mills and polyvector-valued gauge theories in Clifford spaces. Zbl 1112.83056
Castro, Carlos
4
2006
On generalized Yang-Mills theories and extensions of the standard model in Clifford (tensorial) spaces. Zbl 1098.81061
Castro, Carlos
4
2006
Born’s reciprocal general relativity theory and complex non-Abelian gravity as gauge theory of the quaplectic group: a novel path to quantum gravity. Zbl 1158.83015
Castro, Carlos
4
2008
Born’s reciprocal relativity theory, curved phase space, Finsler geometry and the cosmological constant. Zbl 1434.83106
Perelman, Carlos Castro
4
2020
On the Riemann hypothesis, area quantization, Dirac operators, modularity, and renormalization group. Zbl 1201.81091
Castro, Carlos
3
2010
On dual phase-space relativity, the Machian principle and modified Newtonian dynamics. Zbl 1278.83002
Castro, Carlos
3
2005
Comments on the Riemann conjecture and index theory on Cantorian fractal space-time. Zbl 1067.11082
Castro, Carlos; Mahecha, Jorge
3
2002
Octonionic ternary gauge field theories revisited. Zbl 1288.81077
Castro, Carlos
3
2014
Born’s reciprocal gravity in curved phase-spaces and the cosmological constant. Zbl 1257.83006
Castro, Carlos
3
2012
Advances in ternary and octonionic gauge field theories. Zbl 1247.81269
Castro, Carlos
3
2011
Novel physical consequences of the extended relativity in Clifford spaces. Zbl 1314.83008
Castro, Carlos
3
2015
On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy. Zbl 1206.81063
Castro, Carlos
3
2010
\(p\)-branes from generalized Yang-Mills theory. Zbl 0962.81069
Ansoldi, Stefano; Castro, Carlos; Spallucci, Euro
3
2001
Polyvector super-Poincaré algebras, \(M\), \(F\) theory algebras and generalized supersymmetry in Clifford-spaces. Zbl 1095.81029
Castro, Carlos
3
2006
Fractal supersymmetric QM, geometric probability and the Riemann hypothesis. Zbl 1146.81312
Castro, Carlos; Mahecha, Jorge
3
2004
Extended Lorentz transformations in Clifford space relativity theory. Zbl 1326.83019
Castro, Carlos
3
2015
On Jordan-Clifford algebras, three fermion generations with Higgs fields and a \(\mathrm{SU}(3) \times \mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)\) model. Zbl 1472.15033
Castro Perelman, Carlos
3
2021
Bohm’s potential, classical/quantum duality and repulsive gravity. Zbl 1405.81014
Perelman, Carlos Castro
2
2019
Lanczos-Lovelock and \(f(R)\) gravity from Clifford space geometry. Zbl 1263.83125
Castro, Carlos
2
2013
The QCD \(M\) embrane. Zbl 0994.83053
Ansoldi, Stefano; Castro, Carlos; Spallucci, Euro
2
2001
A new approach for the optimal distribution of assemblies in a nuclear reactor. Zbl 0985.65074
Allaire, Grégoire; Castro, Carlos
2
2001
Novel remarks on point mass sources, firewalls, null singularities and gravitational entropy. Zbl 1336.83012
Castro Perelman, Carlos
2
2016
Clifford algebraic unification of conformal gravity with an extended standard model. Zbl 1367.81158
Castro, Carlos
2
2017
The charge-mass-spin relation of Clifford polyparticles, Kerr-Newman black holes and the fine structure constant. Zbl 1063.83548
Castro, Carlos
2
2004
\(\text{AdS}_{2n}\) spaces from \(SO(2n-1,2)\) instantons. Zbl 1045.83053
Castro, Carlos
2
2003
On timelike naked singularities associated with noncompact matter sources. Zbl 1328.83121
Castro, Carlos
2
2008
The search for a Hamiltonian whose energy spectrum coincides with the Riemann zeta zeroes. Zbl 1429.11149
Aschheim, Raymond; Castro Perelman, Carlos; Irwin, Klee
2
2017
A Hamiltonian model of the Fibonacci quasicrystal using non-local interactions: simulations and spectral analysis. Zbl 1516.82024
Sen, Amrik; Perelman, Carlos Castro
1
2020
The Clifford space geometry of conformal gravity and \(U(4) \times U(4)\) Yang-Mills unification. Zbl 1184.81146
Castro, Carlos
1
2010
Toward a Moyal quantization program of the membrane. Zbl 1188.81153
Castro, Carlos
1
2010
Generalized gravity in Clifford spaces, vacuum energy and grand unification. Zbl 1243.83042
Castro, Carlos
1
2011
Lanczos-Lovelock-Cartan gravity from Clifford-space geometry. Zbl 1273.83143
Castro, Carlos
1
2013
Nonlinear corrections to the Schrödinger equation from geometric quantum mechanics. Zbl 0726.35120
Castro, Carlos
1
1990
A Clifford algebra realization of supersymmetry and its polyvector extension in Clifford spaces. Zbl 1238.15011
Castro, Carlos
1
2011
The cosmological constant from the extended theory of gravitation in Clifford spaces. Zbl 1351.83065
Castro, Carlos
1
2016
On dark energy, Weyl’s geometry, different derivations of the vacuum energy density and the pioneer anomaly. Zbl 1115.83003
Castro, Carlos
1
2007
On strategies towards the Riemann hypothesis: fractal supersymmetric QM and a trace formula. Zbl 1204.11141
Castro, Carlos
1
2007
There is no Einstein-Podolsky-Rosen paradox in Clifford spaces. Zbl 1142.81004
Castro, Carlos
1
2007
Strings and membranes from Einstein gravity, matrix models and \(W_\infty\) gauge theories as paths to quantum gravity. Zbl 1159.83323
Castro, Carlos
1
2008
\(q\)-deformation by intertwining with application to the singular oscillator. Zbl 0949.81023
Rosu, Haret C.; Castro, Carlos
1
2000
The geometrization of quantum mechanics, the nonlinear Klein-Gordon equation, Finsler gravity and phase spaces. Zbl 1461.81026
Castro Perelman, Carlos
1
2021
On the large \(N\) limit, Wilson loops, confinement and composite antisymmetric tensor field theories. Zbl 1059.81146
Castro, Carlos
1
2004
Note on a Clifford algebra based grand unification program of gravity and the standard model. Zbl 1460.83005
Castro, Carlos
1
2016
A noncommutative spacetime realization of quantum black holes, Regge trajectories and holography. Zbl 1484.83077
Castro Perelman, Carlos
1
2022
A mixed-integer linear programming model and a metaheuristic approach for the selection and allocation of land parcels problem. Zbl 07744721
Gil, Alejandro Fernández; Sánchez, Mariam Gómez; Castro, Carlos; Pérez-Alonso, Alain
1
2023
Thermal relativity, modified Hawking radiation, and the generalized uncertainty principle. Zbl 07801948
Castro Perelman, Carlos
1
2019
A note on Jordan algebras, three generations and exceptional periodicity. Zbl 07808552
Perelman, Carlos Castro
1
2020
A mixed-integer linear programming model and a metaheuristic approach for the selection and allocation of land parcels problem. Zbl 07744721
Gil, Alejandro Fernández; Sánchez, Mariam Gómez; Castro, Carlos; Pérez-Alonso, Alain
1
2023
A noncommutative spacetime realization of quantum black holes, Regge trajectories and holography. Zbl 1484.83077
Castro Perelman, Carlos
1
2022
On Jordan-Clifford algebras, three fermion generations with Higgs fields and a \(\mathrm{SU}(3) \times \mathrm{SU}(2)_L \times \mathrm{SU}(2)_R \times \mathrm{U}(1)\) model. Zbl 1472.15033
Castro Perelman, Carlos
3
2021
The geometrization of quantum mechanics, the nonlinear Klein-Gordon equation, Finsler gravity and phase spaces. Zbl 1461.81026
Castro Perelman, Carlos
1
2021
Born’s reciprocal relativity theory, curved phase space, Finsler geometry and the cosmological constant. Zbl 1434.83106
Perelman, Carlos Castro
4
2020
A Hamiltonian model of the Fibonacci quasicrystal using non-local interactions: simulations and spectral analysis. Zbl 1516.82024
Sen, Amrik; Perelman, Carlos Castro
1
2020
A note on Jordan algebras, three generations and exceptional periodicity. Zbl 07808552
Perelman, Carlos Castro
1
2020
\(\mathbb{R} \otimes \mathbb{C}\otimes \mathbb{H}\otimes \mathbb{O}\)-valued gravity as a grand unified field theory. Zbl 1410.81034
Castro Perelman, Carlos
8
2019
On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory. Zbl 1429.83071
Perelman, Carlos Castro
4
2019
Bohm’s potential, classical/quantum duality and repulsive gravity. Zbl 1405.81014
Perelman, Carlos Castro
2
2019
Thermal relativity, modified Hawking radiation, and the generalized uncertainty principle. Zbl 07801948
Castro Perelman, Carlos
1
2019
Clifford algebraic unification of conformal gravity with an extended standard model. Zbl 1367.81158
Castro, Carlos
2
2017
The search for a Hamiltonian whose energy spectrum coincides with the Riemann zeta zeroes. Zbl 1429.11149
Aschheim, Raymond; Castro Perelman, Carlos; Irwin, Klee
2
2017
Novel remarks on point mass sources, firewalls, null singularities and gravitational entropy. Zbl 1336.83012
Castro Perelman, Carlos
2
2016
The cosmological constant from the extended theory of gravitation in Clifford spaces. Zbl 1351.83065
Castro, Carlos
1
2016
Note on a Clifford algebra based grand unification program of gravity and the standard model. Zbl 1460.83005
Castro, Carlos
1
2016
Novel physical consequences of the extended relativity in Clifford spaces. Zbl 1314.83008
Castro, Carlos
3
2015
Extended Lorentz transformations in Clifford space relativity theory. Zbl 1326.83019
Castro, Carlos
3
2015
The extended relativity theory in Clifford phase spaces and modifications of gravity at the Planck/Hubble scales. Zbl 1298.83104
Castro, Carlos
7
2014
Octonionic ternary gauge field theories revisited. Zbl 1288.81077
Castro, Carlos
3
2014
Progress in Clifford space gravity. Zbl 1263.83024
Castro, Carlos
5
2013
Lanczos-Lovelock and \(f(R)\) gravity from Clifford space geometry. Zbl 1263.83125
Castro, Carlos
2
2013
Lanczos-Lovelock-Cartan gravity from Clifford-space geometry. Zbl 1273.83143
Castro, Carlos
1
2013
A Clifford \(Cl(5, C)\) unified gauge field theory of conformal gravity, Maxwell and \(U(4) \times U(4)\) Yang-Mills in \(4D\). Zbl 1245.83042
Castro, Carlos
9
2012
On octonionic gravity, exceptional Jordan strings and nonassociative ternary gauge field theories. Zbl 1267.81240
Castro, Carlos
9
2012
On superluminal particles and the extended relativity theories. Zbl 1257.83004
Castro, Carlos
7
2012
Gravity in curved phase-spaces, Finsler geometry and two-times physics. Zbl 1247.83150
Castro, Carlos
6
2012
Quaternionic-valued gravitation in \(8D\), grand unification and Finsler geometry. Zbl 1255.83114
Castro, Carlos
4
2012
Born’s reciprocal gravity in curved phase-spaces and the cosmological constant. Zbl 1257.83006
Castro, Carlos
3
2012
Some consequences of Born’s reciprocal relativity in phase-spaces. Zbl 1247.83149
Castro, Carlos
11
2011
Advances in ternary and octonionic gauge field theories. Zbl 1247.81269
Castro, Carlos
3
2011
Generalized gravity in Clifford spaces, vacuum energy and grand unification. Zbl 1243.83042
Castro, Carlos
1
2011
A Clifford algebra realization of supersymmetry and its polyvector extension in Clifford spaces. Zbl 1238.15011
Castro, Carlos
1
2011
On \(n\)-ary algebras, branes and poly-vector gauge theories in noncommutative Clifford spaces. Zbl 1196.81216
Castro, Carlos
9
2010
On the Riemann hypothesis, area quantization, Dirac operators, modularity, and renormalization group. Zbl 1201.81091
Castro, Carlos
3
2010
On nonlinear quantum mechanics, noncommutative phase spaces, fractal-scale calculus and vacuum energy. Zbl 1206.81063
Castro, Carlos
3
2010
The Clifford space geometry of conformal gravity and \(U(4) \times U(4)\) Yang-Mills unification. Zbl 1184.81146
Castro, Carlos
1
2010
Toward a Moyal quantization program of the membrane. Zbl 1188.81153
Castro, Carlos
1
2010
An exceptional \(E_{8}\) gauge theory of gravity in \(D = 8\), Clifford spaces and grand unification. Zbl 1181.81112
Castro, Carlos
4
2009
The Euclidean gravitational action as black hole entropy, singularities, and spacetime voids. Zbl 1152.81365
Castro, Carlos
9
2008
Born’s reciprocal general relativity theory and complex non-Abelian gravity as gauge theory of the quaplectic group: a novel path to quantum gravity. Zbl 1158.83015
Castro, Carlos
4
2008
On timelike naked singularities associated with noncompact matter sources. Zbl 1328.83121
Castro, Carlos
2
2008
Strings and membranes from Einstein gravity, matrix models and \(W_\infty\) gauge theories as paths to quantum gravity. Zbl 1159.83323
Castro, Carlos
1
2008
On the noncommutative and nonassociative geometry of octonionic space time, modified dispersion relations and grand unification. Zbl 1144.81321
Castro, Carlos
21
2007
A Chern-Simons \(E_8\) gauge theory of gravity in \(D=15\), grand unification and generalized gravity in Clifford spaces. Zbl 1140.81451
Castro, Carlos
7
2007
The large \(N\) limit of exceptional Jordan matrix models and M, F theory. Zbl 1169.83015
Castro, Carlos
5
2007
On \((2+2)\)-dimensional space-times, strings and black holes. Zbl 1127.83011
Castro, C.; Nieto, J. A.
4
2007
On dark energy, Weyl’s geometry, different derivations of the vacuum energy density and the pioneer anomaly. Zbl 1115.83003
Castro, Carlos
1
2007
On strategies towards the Riemann hypothesis: fractal supersymmetric QM and a trace formula. Zbl 1204.11141
Castro, Carlos
1
2007
There is no Einstein-Podolsky-Rosen paradox in Clifford spaces. Zbl 1142.81004
Castro, Carlos
1
2007
On modified Weyl-Heisenberg algebras, noncommutativity, matrix-valued Planck constant and QM in Clifford spaces. Zbl 1148.81306
Castro, Carlos
10
2006
On the Riemann hypothesis and tachyons in dual string scattering amplitudes. Zbl 1090.81046
Castro, Carlos
5
2006
On Chern-Simons (super) gravity, \(E_{8}\) Yang-Mills and polyvector-valued gauge theories in Clifford spaces. Zbl 1112.83056
Castro, Carlos
4
2006
On generalized Yang-Mills theories and extensions of the standard model in Clifford (tensorial) spaces. Zbl 1098.81061
Castro, Carlos
4
2006
Polyvector super-Poincaré algebras, \(M\), \(F\) theory algebras and generalized supersymmetry in Clifford-spaces. Zbl 1095.81029
Castro, Carlos
3
2006
The extended relativity theory in Born-Clifford phase spaces with a lower and upper length scales and Clifford group geometric unification. Zbl 1084.83516
Castro, Carlos
25
2005
The extended relativity theory in Clifford spaces. Zbl 1278.83039
Castro, Carlos; Pavšič, Matej
13
2005
Noncommutative (super) \(p\)-branes and Moyal-Yang star products with a lower and upper scale. Zbl 1247.81517
Castro, Carlos
5
2005
On dual phase-space relativity, the Machian principle and modified Newtonian dynamics. Zbl 1278.83002
Castro, Carlos
3
2005
Generalized \(p\)-forms electrodynamics in Clifford spaces. Zbl 1077.83024
Castro, C.
6
2004
Moyal deformations of gravity via SU(\(\infty\)) gauge theories, branes and topological Chern-Simons matrix models. Zbl 1063.83025
Castro, Carlos
5
2004
Fractal supersymmetric QM, geometric probability and the Riemann hypothesis. Zbl 1146.81312
Castro, Carlos; Mahecha, Jorge
3
2004
The charge-mass-spin relation of Clifford polyparticles, Kerr-Newman black holes and the fine structure constant. Zbl 1063.83548
Castro, Carlos
2
2004
On the large \(N\) limit, Wilson loops, confinement and composite antisymmetric tensor field theories. Zbl 1059.81146
Castro, Carlos
1
2004
Clifford algebra of spacetime and the conformal group. Zbl 1034.83002
Castro, C.; Pavšič, M.
25
2003
A polynomial Weyl-invariant spinning-membrane action. Zbl 1011.81056
Castro, Carlos
14
2003
On \(p\)-adic stochastic dynamics, supersymmetry and the Riemann conjecture. Zbl 1056.81074
Castro, Carlos
5
2003
On the variable fine structure constant, strings and maximal-acceleration phase space relativity. Zbl 1036.81506
Castro, Carlos
4
2003
\(\text{AdS}_{2n}\) spaces from \(SO(2n-1,2)\) instantons. Zbl 1045.83053
Castro, Carlos
2
2003
Fractal strings as an alternative justification for El Naschie’s Cantorian spacetime and the fine structure constant. Zbl 1033.81511
Castro, Carlos
14
2002
Anti-de Sitter gravity from BF-Chern-Simons-Higgs theories. Zbl 1083.83504
Castro, Carlos
11
2002
Higher derivative gravity and torsion from the geometry of \(C\)-spaces. Zbl 0996.83045
Castro, C.; Pavšič, M.
6
2002
On the four-dimensional conformal anomaly, fractal Cantorian space-time and the fine structure. Zbl 1021.81058
Castro, Carlos
4
2002
Nambu-Goto strings from \(SU(N)\) Born-Infeld model. Zbl 1007.83034
Ansoldi, Stefano; Spallucci, Euro; Castro, Carlos; Guendelman, E. I.
4
2002
Comments on the Riemann conjecture and index theory on Cantorian fractal space-time. Zbl 1067.11082
Castro, Carlos; Mahecha, Jorge
3
2002
The status and programs of scale relativity theory. Zbl 1173.46307
Castro, Carlos
7
2001
Noncommutative geometry, negative probabilities and Cantorian-fractal spacetime. Zbl 1040.83513
Castro, Carlos
6
2001
Chern-Simons hadronic bag from quenched large-\(N\) QCD. Zbl 0977.81503
Ansoldi, S.; Castro, C.; Spallucci, E.
5
2001
Scale relativity in Cantorian \(\mathcal E^{(\infty)}\) space and average dimensions of our world. Zbl 0985.83020
Castro, Carlos; Granik, Alex
5
2001
An elementary derivation of the black hole entropy in any dimension. Zbl 1065.83034
Castro, Carlos
5
2001
\(p\)-branes from generalized Yang-Mills theory. Zbl 0962.81069
Ansoldi, Stefano; Castro, Carlos; Spallucci, Euro
3
2001
The QCD \(M\) embrane. Zbl 0994.83053
Ansoldi, Stefano; Castro, Carlos; Spallucci, Euro
2
2001
A new approach for the optimal distribution of assemblies in a nuclear reactor. Zbl 0985.65074
Allaire, Grégoire; Castro, Carlos
2
2001
Is quantum space-time infinite dimensional. Zbl 0965.83022
Castro, Carlos
18
2000
\(\mathcal W\) geometry from Fedosov’s deformation quantization. Zbl 0955.53050
Castro, Carlos
15
2000
Hints of a new relativity principle from \(p\)-brane quantum mechanics. Zbl 1032.81546
Castro, Carlos
13
2000
\(q\)-deformation by intertwining with application to the singular oscillator. Zbl 0949.81023
Rosu, Haret C.; Castro, Carlos
1
2000
Beyond strings, multiple times and gauge theories of area-scalings relativistic transformations. Zbl 0996.83048
Castro, Carlos
11
1999
The generalized Moyal-Nahm and continuous Moyal-Toda equations. Zbl 0952.37038
Castro, Carlos; Plebański, Jerzy
6
1999
String representation of quantum loops. Zbl 0962.81043
Ansoldi, Stefano; Castro, Carlos; Spallucci, Euro
5
1999
\(p\)-branes as composite antisymmetric tensor field theories. Zbl 0926.53038
Castro, Carlos
7
1998
\(D=11\) supermembrane instantons, \(W_ \infty\) strings and the super Toda molecule. Zbl 1080.81567
Castro, Carlos
8
1996
\(W\) gravity, \(N=2\) strings, and 2+2 \(SU^*(\infty)\) Yang-Mills instantons. Zbl 0806.58058
Castro, Carlos
5
1994
The \(N=2\) super-Wess-Zumino-Novikov-Witten model valued in superdiffeomorphism (SDIFF) \(M^ 2\) is self-dual supergravity in four dimensions. Zbl 0802.53053
Castro, Carlos
5
1994
\(SU(\infty)\) (super)gauge theories and self-dual (super)gravity. Zbl 0782.53072
Castro, Carlos
10
1993
Nonlinear corrections to the Schrödinger equation from geometric quantum mechanics. Zbl 0726.35120
Castro, Carlos
1
1990
all top 5

Cited by 149 Authors

86 Castro Perelman, Carlos
17 El Naschie, Mohamed Saladin
17 Vacaru, Sergiu Ion
8 Pavšič, Matej
5 Bisht, P. S.
5 Bubuianu, Laurenţiu
5 Negi, O. P. S.
4 Irwin, Klee
4 Khosropour, Behrooz
3 Aschheim, Raymond
3 Buchnicek, Miroslav
3 Chanyal, Bhupesh Chandra
3 El-Nabulsi, Rami Ahmad
3 García-Compeán, Hugo
3 Gogberashvili, Merab
3 Moayedi, S. K.
3 Nieto, J. Antonio
3 Plebański, Jerzy Franciszek
3 Veliev, Elşen Veli
3 Weng, Zi-Hua
3 Zmeskal, Oldrich
2 Aldea, Nicoleta
2 Ansoldi, Stefano
2 Barata, João C. A.
2 Brown, David Anthony
2 Dray, Tevian
2 Dzhunushaliev, Vladimir
2 Furey, N.
2 Hughes, Michelle J.
2 Kalauni, Pushpa
2 Li, Tianjun
2 Ludkovsky, Sergey Victor
2 Mahecha, Jorge
2 Manogue, Corinne A.
2 Mielke, Eckehard W.
2 Munteanu, Gheorghe
2 Nezadal, M.
2 Ord, Garnet N.
2 Przanowski, Maciej
2 Pushpa, K.
2 Saniga, Metod
2 Setare, Mohammad Reza
2 Sidharth, Burra Gautam
2 Spallucci, Euro
2 Wilson, Robert Arnott
1 Ammar, Samah. A.
1 Anastasiei, Mihai
1 Aref’eva, Irina Yaroslavna
1 Armenta, J.
1 Augenstein, Bruno W.
1 Aurilia, Antonio
1 Azad, Hassan
1 Bandelloni, Giuseppe
1 Barbarani, Vito
1 Bednar, Pavel
1 Biswas, Indranil
1 Bliss, P. M.
1 Boulton, Lyonell
1 Caballero, Magdalena
1 Calixto, Manuel
1 Carroll, Robert Wayne
1 Chacón, Erick
1 Chaichian, Masud
1 Chester, David
1 Corradetti, Daniele
1 Critten, D. L.
1 Eghbali, Mohammad Ali
1 Elizalde, Emilio
1 Etayo Gordejuela, Fernando
1 Fang, Fang
1 Fazlpour, Behnaz
1 Fernández-Alonso, Rogelio
1 Floquet, Sergio
1 Floratos, Emmanuel G.
1 Frongillo, Rafael M.
1 García del Moral, María Pilar
1 García-Sandoval, Juan Paulo
1 Ghanam, Ryad A.
1 Ghorbanali, S.
1 Gorbunov, I. V.
1 Granik, Alex
1 Gresnigt, Niels G.
1 Gsponer, Andre
1 Guadagnini, Enore
1 Gudekli, Ertan
1 Guendelman, Eduardo I.
1 Guha, Partha
1 Hill, James Murray
1 Kahil, Magd E.
1 Köplinger, Jens
1 Kundu, Prasun K.
1 Lazzarini, Serge
1 Lee, Kanghoon
1 Leontaris, George K.
1 Marrani, Alessio
1 Martínez-Merino, Aldo A.
1 Minguzzi, Ettore
1 Mitra, Abhas
1 Mnatsakanova, M. N.
1 Morandi, Omar
...and 49 more Authors
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Cited in 41 Fields

154 Quantum theory (81-XX)
127 Relativity and gravitational theory (83-XX)
52 Differential geometry (53-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
30 Number theory (11-XX)
23 Mechanics of particles and systems (70-XX)
20 Nonassociative rings and algebras (17-XX)
11 Measure and integration (28-XX)
11 Partial differential equations (35-XX)
9 Dynamical systems and ergodic theory (37-XX)
7 Functional analysis (46-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Optics, electromagnetic theory (78-XX)
6 Topological groups, Lie groups (22-XX)
6 Astronomy and astrophysics (85-XX)
5 Group theory and generalizations (20-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Ordinary differential equations (34-XX)
3 Associative rings and algebras (16-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Algebraic geometry (14-XX)
2 Operator theory (47-XX)
2 Probability theory and stochastic processes (60-XX)
2 Mechanics of deformable solids (74-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Category theory; homological algebra (18-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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