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Non-commutative geometry indicates a deformation of the energy-momentum dispersion relation $f(E)\equiv\frac{E}{pc}(\neq 1)$ for massless particles.
Quantized Space-Time
H. S. Snyder · 1947
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q-deformation of Poincaré algebra
J. Lukierski, H. Ruegg, A. Nowicki, and V. N. Tolstoy · 1991
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The quantum structure of spacetime at the Planck scale and quantum fields
S. Doplicher, K. Fredenhagen, and J. E. Roberts · 1995
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Obstruction results in quantization theory
M. J. Gotay, H. B. Grundling, and G. M. Tuynman · 1996
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Noncommutative geometry and Matrix theory
A. Connes, M. R. Douglas, and A. Schwarz · 1998
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Tests of quantum gravity from observations of γ \gamma -ray bursts
G. Amelino-Camelia, J. Ellis, N. E. Mavromatos, D. V. Nanopoulos, and S. Sarkar · 1998
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Inflationary Cosmology: Progress and Problems
R. H. Brandenberger · 1999
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Time varying speed of light as a solution to cosmological puzzles
A. Albrecht and J. Magueijo · 1999
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Noncommutative field theory
M. R. Douglas and N. A. Nekrasov · 2001
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Non-commutative geometry as a realization of varying speed of light cosmology
S. H. S. Alexander and J. Magueijo · 2001
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Trans-Planckian problem of inflationary cosmology
J. Martin and R. H. Brandenberger · 2001
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A Status Review of Inflationary Cosmology
R. H. Brandenberger · 2001
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Coproduct and star product in field theories on Lie-algebra noncommutative space-times
G. Amelino-Camelia and M. Arzano · 2002
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A Quantum Groups Primer
S. Majid · 2002
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Relativity in Spacetimes with Short-Distance Structure Governed by an Observer-Independent (Planckian) Length Scale
G. Amelino-Camelia and D. V. Ahluwalia · 2002
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Noncommutativity in field space and Lorentz invariance violation
J. M. Carmona, J. L. Cortés, J. Gamboa, and F. Méndez · 2003
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Noncommutative inflation
S. Alexander, R. Brandenberger, and J. Magueijo · 2003
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Cosmological perturbations in non-commutative inflation
S. Koh and R. H. Brandenberger · 2007
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Evolution of gravitational perturbations in non-commutative inflation
S. Koh and R. H. Brandenberger · 2007
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UV/IR mode mixing and the CMB
G. A. Palma and S. P. Patil · 2009
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Inflation mechanism in asymptotic noncommutative geometry
W. Nelson and M. Sakellariadou · 2009
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Inflation with a stringy minimal length, reworked
G. A. Palma and S. P. Patil · 2009
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A noncommutative approach to the cosmological constant problem
R. Garattini and P. Nicolini · 2010
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Constraining the Noncommutative Spectral Action via Astrophysical Observations
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