On the Chandrasekhar limit in generalized uncertainty principles

Gregoris, Daniele; Ong, Yen Chin

doi:10.1016/j.aop.2023.169287

Cited by 8 publications

(4 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…with the expectation values in ⟨ f(p)⟩, ∆p, and ⟨p⟩ taken in the ML state |ξ⟩ and assumed to imply minimum ∆x. This transformation reproduces the definition of ξ as shown in (17) indeed:…”

Section: Canonical Transformation and Uncertainty Relationsupporting

confidence: 76%

“…from [dp/f(p)] to [dp/f(p)] × A −2 (p) in momentum space. A consequence is that ⟨ψ|x|ψ⟩ is generally not equal to ⟨ψ|ξ|ψ⟩ since ⟨ψ|p|ψ⟩ − ⟨p⟩ is not equal to zero in (17), except in ML states |ψ⟩ = |ξ⟩, where equality is reached,…”

Section: Eigenvalues and Expectation Valuesmentioning

confidence: 99%

“…where f is a model-dependent real function that reduces to unity whenever quantum gravity is neglected or when ⟨p 2 ⟩ tends to zero. Previous studies have utilized heuristic approaches to explore the effects of GUPs on gravity in various contexts, ranging from astrophysics to cosmology, leading to valuable insights on quantum gravity [10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Remarks on the quasi-position representation in models of generalized uncertainty principle

Herkenhoff Gomes

2023

Class. Quantum Grav.

View full text Add to dashboard Cite

This note aims to elucidate certain aspects of the quasi-position representation frequently used in the investigation of one-dimensional models based on the generalized uncertainty principle (GUP). We specifically focus on two key points: (i) Contrary to recent claims, the quasi-position operator can possess physical significance even though it is non-Hermitian, and (ii) in the quasi-position representation, operators associated with the position, such as the potential energy, also behave as a derivative operator on the quasi-position coordinate, unless the method of computing expectation values is modified. The development of both points revolves around the observation that the position and quasi-position operators share the same set of eigenvalues and are connected through a non-unitary canonical transformation. This outcome may have implications for widely referenced constraints on GUP parameters.

show abstract

Section: Canonical Transformation and Uncertainty Relationsupporting

confidence: 76%

Section: Eigenvalues and Expectation Valuesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Remarks on the quasi-position representation in models of generalized uncertainty principle

Herkenhoff Gomes

2023

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…GUP models are significant as they introduce modifications in state equations and microscopic variables [46][47][48][49][50][51][52][53][54][55][56][57][58]. These models predict potential quantum gravity effects observable at various scales, with theories often approximating a minimum length scale akin to the Planck length (ℓ Pl = √ ℏG c 3 ), emphasizing quantum gravity's role in the cosmic framework [59][60][61][62][63][64][65].…”

Section: Introductionmentioning

confidence: 99%

A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound

Farag Ali,

Wojnar

2024

Class. Quantum Grav.

View full text Add to dashboard Cite

Motivated by the potential connection between metric-affine gravity and linear Generalized Uncertainty Principle (GUP) in the phase space, we develop a covariant form of linear GUP and an associated modified Poincaré algebra, which exhibits distinctive behavior, nearing nullity at the minimal length scale proposed by linear GUP. We use 3-torus geometry to visually represent linear GUP within a covariant framework. The 3-torus area provides an exact geometric representation of Bekenstein's universal bound. We depart from Bousso's approach, which adapts Bekenstein's bound by substituting the Schwarzschild radius ($r_s$) with the radius ($R$) of the smallest sphere enclosing the physical system, thereby basing the covariant entropy bound on the sphere's area. Instead, our revised covariant entropy bound is described by the area of a 3-torus, determined by both the inner radius $r_s$ and outer radius $R$ where $r_s\leq R $ due to gravitational stability. This approach results in a more precise geometric representation of Bekenstein's bound, notably for larger systems where Bousso's bound is typically much larger than Bekensetin's universal bound. Furthermore, we derive an equation that turns the standard uncertainty inequality into an equation when considering the contribution of the 3-torus covariant entropy bound, suggesting a new avenue of quantum gravity.

show abstract

Radial oscillations and dynamical instability analysis for linear-quadratic GUP-modified white dwarfs

2023

View full text Add to dashboard Cite

On the Chandrasekhar limit in generalized uncertainty principles

Cited by 8 publications

References 63 publications

Remarks on the quasi-position representation in models of generalized uncertainty principle

Remarks on the quasi-position representation in models of generalized uncertainty principle

A covariant tapestry of linear GUP, metric-affine gravity, their Poincaré algebra and entropy bound

Radial oscillations and dynamical instability analysis for linear-quadratic GUP-modified white dwarfs

Contact Info

Product

Resources

About