Background-independent quantization and the uncertainty principle

被引:88
|
作者
Hossain, Golam Mortuza [1 ]
Husain, Viqar [1 ]
Seahra, Sanjeev S. [1 ]
机构
[1] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
QUANTUM-MECHANICS; MINIMAL LENGTH; GRAVITY; SPACE;
D O I
10.1088/0264-9381/27/16/165013
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
It is shown that polymer quantization leads to a modified uncertainty principle similar to that motivated by string theory and non-commutative geometry. When applied to quantum field theory on general background spacetimes, corrections to the uncertainty principle acquire a metric dependence. For Friedmann-Robertson-Walker cosmology this translates to a scale factor dependence which gives a large effect in the early Universe.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Background-independent composite gravity
    Batz, Austin
    Erlich, Joshua
    Mrini, Luke
    CLASSICAL AND QUANTUM GRAVITY, 2021, 38 (09)
  • [2] Holography in a background-independent effective theory
    Torrieri, Giorgio
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2015, 12 (07)
  • [3] A background-independent algebra in quantum gravity
    Witten, Edward
    JOURNAL OF HIGH ENERGY PHYSICS, 2024, 2024 (03)
  • [4] Background-independent measurement of θ13 in Double Chooz
    Abe, Y.
    dos Anjos, J. C.
    Barriere, J. C.
    Baussan, E.
    Bekman, I.
    Bergevin, M.
    Bezerra, T. J. C.
    Bezrukov, L.
    Blucher, E.
    Buck, C.
    Busenitz, J.
    Cabrera, A.
    Caden, E.
    Camilleri, L.
    Carr, R.
    Cerrada, M.
    Chang, P. -J.
    Chauveau, E.
    Chimenti, P.
    Collin, A. P.
    Conover, E.
    Conrad, J. M.
    Crespo-Anadon, J. I.
    Crum, K.
    Cucoanes, A.
    Damon, E.
    Dawson, J. V.
    Dietrich, D.
    Djurcic, Z.
    Dracos, M.
    Elnimr, M.
    Etenko, A.
    Fallot, M.
    von Feilitzsch, F.
    Felde, J.
    Fernandes, S. M.
    Fischer, V.
    Franco, D.
    Franke, M.
    Furuta, H.
    Gil-Botella, I.
    Giot, L.
    Goeger-Neff, M.
    Gonzalez, L. F. G.
    Goodenough, L.
    Goodman, M. C.
    Grant, C.
    Haag, N.
    Hara, T.
    Haser, J.
    PHYSICS LETTERS B, 2014, 735 : 51 - 56
  • [5] Simple background-independent Hamiltonian quantum model
    Colosi, D
    Rovelli, C
    PHYSICAL REVIEW D, 2003, 68 (10)
  • [6] On background-independent renormalization of spin foam models
    Bahr, Benjamin
    CLASSICAL AND QUANTUM GRAVITY, 2017, 34 (07)
  • [7] Background-independent charges in Topologically Massive Gravity
    Miskovic, Olivera
    Olea, Rodrigo
    JOURNAL OF HIGH ENERGY PHYSICS, 2009, (12):
  • [8] Background-independent condensed matter models for quantum gravity
    Hamma, Alioscia
    Markopoulou, Fotini
    NEW JOURNAL OF PHYSICS, 2011, 13
  • [9] Graviton propagator from background-independent quantum gravity
    Rovelli, Carlo
    PHYSICAL REVIEW LETTERS, 2006, 97 (15)
  • [10] A non-perturbative and background-independent formulation of quadratic gravity
    Salvio, Alberto
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2024, (07):