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Noncommutative geometry has been slowly emerging as a new paradigm of geometry which starts from quantum mechanics.
J. Milnor, Eigenvalues of the Laplace operator on certain manifolds Proc. Natl. Acad. Sci. U S A. 51(4) (1964), 542
1964
Earlier work this paper cites.
S. Weinberg, Gravitation and Cosmology, J. Wiley, (1972) pages 389–390
1972
Earlier work this paper cites.
S. Coleman and E. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking , Phys. Rev
1973
Earlier work this paper cites.
G. Gibbons and S. Hawking, Action integrals and partition functions in quantum gravity, Phys. Rev. D 15
1977
Earlier work this paper cites.
P. Gilkey, Invariance Theory, the Heat Equation and the Atiyah-Singer Index Theorem ,
1984
Earlier work this paper cites.
J. van der Bij, H. van Dam and Y. Ng, Physica A 116
1989
Earlier work this paper cites.
H. B. Lawson, M-L. Michelsohn Spin geometry
1989
Earlier work this paper cites.
W. Buchmüller and C. Busch, Symmetry breaking and mass bounds in the standard model with hidden scale invariance , Nucl. Phys
1991
Earlier work this paper cites.
A. Trautman, Spin structures on hypersurfaces and spectrum of Dirac ooperators on spheres, in Spinors, Twistors, Clifford Algebras and Quantum Deformations, Kluver Academic Publishers 1993
1993
Earlier work this paper cites.
A. Connes, Gravity coupled with matter and the foundation of noncommutative geometry , Comm. Math. Phys. 182
1996
Cited alongside, same era.
R. Camporesi and A. Higuchi, On the eigenfunctions of Dirac operators on spheres and hyperbolic spaces, J. Geom. Phys. 20
1996
Cited alongside, same era.
A. Chamseddine and A. Connes, The Spectral action principle , Comm. Math. Phys. 186
1997
Cited alongside, same era.
T. Hambye and K. Riesselmann, Matching Conditions and Upper bounds for Higgs Masses Revisited , Phys. Rev
1997
Cited alongside, same era.
M. Reuter, Nonperturbative evolution equation for quantum gravity, Phys. Rev. D 57
1998
Cited alongside, same era.
D. Dou, R. Percacci, The running gravitational couplings, Class. Quant. Grav. 15
John Barrett, The Lorentzian Version of the Noncommutative Geometry Model of Particle Physics , J. Math. Phys
2007
Later among the works it cites.
A. Chamseddine and A. Connes, Conceptual explanation for the algebra in the noncommutative approach to the standard model , Phys. Rev. Lett. 99
2007
Later among the works it cites.
A. Chamseddine, A. Connes, M. Marcolli, Gravity and the standard model with neutrino mixing , Adv. Theor. Math. 11
2007
Later among the works it cites.
A. Chamseddine and A. Connes, Quantum gravity boundary terms from the spectral action of noncommutative space, Phys. Rev. Lett. 99
2007
Later among the works it cites.
R. Percacci, Renormalization group, systems of units and the hierarchy problem , J. Phys. A40
2007
Later among the works it cites.
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1998
Cited alongside, same era.
A. Connes, Noncommutative geometry and the standard model with neutrino mixing, JHEP 0611:081
2006
Cited alongside, same era.
A. Chamseddine and A. Connes, Scale invariance in the spectral action, Jour. Math. Phys. 47
2006
Cited alongside, same era.
A. Connes, On the spectral characterization of manifolds , to appear
Cited in the paper.
A. Chamseddine and A. Connes, Unocovering the noncommutative geometry of space-time: a user manual for physicists, to appear
Cited in the paper.
A. Chamseddine and A. Connes, Why the Standard Model , Jour. Geom. Phys. 58
2008
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A. Ashtekar, J. Engle and D. Sloan, Asymptotics and Hamiltonians in a first order formalism, Class. Quant. Grav. 25
2008
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G. Isidori, V. Rychkov, A. Sturmia and N. Tetradis, Gravitational corrections to the standard model vacuum decay, Phys. Rev. D 77
2008
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