Dark matter as an effect of a minimal length

In this work, we consider the implications of a phenomenological model of quantum gravitational effects related to a minimal length, implemented via the generalized uncertainty principle. Such effects are applied to the Bekenstein–Hawking entropy to derive a modified law of gravity through Verlinde’s conjecture. Implications on galactic scales, and in particular on the shape of rotational curves, are investigated, exploring the possibility to mimic dark matter-like effects via a minimal length.

[1]  A. Gomes.  A framework for nonrelativistic isotropic models based on generalized uncertainty principles , 2022, 2202.02044.

[2]  P. Jizba,et al.  Decoherence limit of quantum systems obeying generalized uncertainty principle: New paradigm for Tsallis thermostatistics , 2022, Physical Review D.

[3]  J. J. Relancio,et al.  Quantum gravity phenomenology at the dawn of the multi-messenger era—A review , 2021, Progress in Particle and Nuclear Physics.

[4]  E. Oks.  Brief Review of Recent Advances in Understanding Dark Matter and Dark Energy , 2021, New Astronomy Reviews.

[5]  P. Bosso,et al.  Generalized uncertainty principle: from the harmonic oscillator to a QFT toy model , 2021, The European Physical Journal C.

[6]  Saurya Das,et al.  Baryon asymmetry from the generalized uncertainty principle , 2021, Physics Letters B.

[7]  G. G. Luciano.  Tsallis statistics and generalized uncertainty principle , 2021, The European Physical Journal C.

[8]  Saurya Das,et al.  Maximal momentum GUP leads to quadratic gravity , 2021, Physics Letters B.

[9]  F. Mahmoudi,et al.  Dark matter and the early Universe: A review , 2021, 2104.11488.

[10]  Saurya Das,et al.  Test of quantum gravity in statistical mechanics , 2021, Physical Review D.

[11]  F. Scardigli,et al.  Bekenstein bound and uncertainty relations , 2020, Physics Letters B.

[12]  S. Bose,et al.  Quantum gravity witness via entanglement of masses: Casimir screening , 2020, 2006.06931.

[13]  V. Salzano,et al.  Cosmological constraints on the Generalized Uncertainty Principle from modified Friedmann equations , 2020, 2006.01580.

[14]  B. Carr,et al.  Self-complete and GUP-modified charged and spinning black holes , 2020, The European Physical Journal C.

[15]  P. Bosso.  On the quasi-position representation in theories with a minimal length , 2020, Classical and Quantum Gravity.

[16]  F. Scardigli,et al.  Generalized Uncertainty Principle, Classical Mechanics, and General Relativity , 2020, Physics Letters B.

[17]  A. Sheykhi.  New explanation for accelerated expansion and flat galactic rotation curves , 2019, The European Physical Journal C.

[18]  Kh. P. Gnatenko,et al.  Kinetic energy properties and weak equivalence principle in a space with generalized uncertainty principle , 2019, Modern Physics Letters A.

[19]  L. Petruzziello,et al.  Generalized uncertainty principle and corpuscular gravity , 2019, The European Physical Journal C.

[20]  Kh. P. Gnatenko,et al.  Macroscopic body in the Snyder space and minimal length estimation , 2019, EPL (Europhysics Letters).

[21]  S. Haine.  Searching for signatures of quantum gravity in quantum gases , 2018, New Journal of Physics.

[22]  P. Bosso.  Rigorous Hamiltonian and Lagrangian analysis of classical and quantum theories with minimal length , 2018, Physical Review D.

[23]  Y. Ong.  Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities , 2018, Journal of Cosmology and Astroparticle Physics.

[24]  M. Plenio,et al.  Quantum-optical tests of Planck-scale physics , 2017, Physical Review A.

[25]  F. Scardigli,et al.  GUP parameter from quantum corrections to the Newtonian potential , 2016, 1611.01469.

[26]  Michael R. Vanner,et al.  Amplified transduction of Planck-scale effects using quantum optics , 2016, 1610.06796.

[27]  Masaki Tezuka,et al.  Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity , 2016, 1606.02454.

[28]  E. Livine,et al.  Ising spin network states for loop quantum gravity: a toy model for phase transitions , 2015, 1509.05297.

[29]  G. Amelino-Camelia.  Challenge to macroscopic probes of quantum spacetime based on noncommutative geometry. , 2013, Physical review letters.

[30]  C. Wang,et al.  Toward quantum gravity measurement by cold atoms , 2013, Journal of Plasma Physics.

[31]  Michael R. Vanner,et al.  Probing Planck-scale physics with quantum optics , 2011, Nature Physics.

[32]  Saurya Das,et al.  A proposal for testing quantum gravity in the lab , 2011, 1107.3164.

[33]  F. Markopoulou,et al.  Background-independent condensed matter models for quantum gravity , 2010, 1011.5754.

[34]  H. Kleinert,et al.  Uncertainty relation on a world crystal and its applications to micro black holes , 2009, 0912.2253.

[35]  K. Freese.  Review of Observational Evidence for Dark Matter in the Universe and in upcoming searches for Dark Stars , 2008, 0812.4005.

[36]  Ji-rong Ren,et al.  Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe , 2008, 0811.0212.

[37]  R. Cai,et al.  Corrected entropy-area relation and modified Friedmann equations , 2008, 0807.1232.

[38]  J. Magueijo.  Could quantum gravity be tested with high intensity Lasers , 2006, gr-qc/0603073.

[39]  C. Adami.  Physics Information , 2004, Nature.

[40]  F. Scardigli,et al.  Generalized uncertainty principle, extra dimensions and holography , 2003, hep-th/0307174.

[41]  F. Scardigli.  Generalized Uncertainty Principle in Quantum Gravity from Micro-Black Hole Gedanken Experiment , 1999, hep-th/9904025.

[42]  Achim Kempf.  Non-pointlike particles in harmonic oscillators , 1996, hep-th/9604045.

[43]  Mann,et al.  Hilbert space representation of the minimal length uncertainty relation. , 1994, Physical review. D, Particles and fields.

[44]  M. Maggiore.  The algebraic structure of the generalized uncertainty principle , 1993, hep-th/9309034.

[45]  M. Maggiore,et al.  Quantum groups, gravity, and the generalized uncertainty principle. , 1993, Physical review. D, Particles and fields.

[46]  M. Maggiore.  A generalized uncertainty principle in quantum gravity , 1993, hep-th/9301067.

[47]  K. Freeman.  On the disks of spiral and SO Galaxies , 1970 .