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Hilbert Space Representation of the Minimal Length Uncertainty Relation
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The existence of a minimal observable length has long been suggested, in quantum gravity, as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal uncertainty in position measurements. Here we study in full detail the quantum mechanical structure which underlies this uncertainty relation.
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Cited by 19 Pith papers
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Coherent states in minimal-length Quantum Mechanics: inequivalent characterizations and emergent squeezing
Minimal length via GUP makes the usual coherent state characterizations inequivalent for the harmonic oscillator, deforming phase-space trajectories and inducing intrinsic squeezing absent in standard quantum mechanics.
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Macroscopic Black-Hole Remnants in a Nonlocal Field Theory: Towards Hawking Radiation in SFT
In a smeared massless scalar on dynamical black hole, outgoing particle number drops to zero after scrambling time due to SFT nonlocality, implying macroscopic remnant.
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Discriminating between different modified dispersion relations from gamma-ray observations
A general parameterization of modified photon dispersion relations is introduced, and simulations show that the assumed lag-redshift model changes both the inferred quantum gravity scale and the ability to discriminat...
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From classical probability densities to quantum states: quantization of Gaussians for arbitrary orderings
Under s-ordered quantization, a Gaussian maps to a valid quantum state for lambda <= (1+s)^{-1}, and for antinormal ordering s=-1 even the delta function becomes the vacuum state.
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Late-Time Cosmological Tests of a Minisuperspace Generalized-Uncertainty-Principle Deformation
Fitting a GUP-deformed Friedmann equation to CC+Pantheon++DESI DR2 data gives β* = −0.086 with a 95% interval including zero; the negative preference vanishes under stricter perturbative cuts.
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Kinematical correlations via $\kappa$-Poincar\'e coproducts
In the classical basis the non-bijective momentum map induces branch-dependent κ-deformed back-to-back correlations for two-particle states obeying vanishing total momentum.
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Natural modification of quantum uncertainty, modified gravity, and cosmology
Using FLRW cosmology to connect generalized uncertainty principle modifications to modified gravity shows that only Born-Infeld models remain natural in both settings.
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Combining the Generalized and Extended Uncertainty Principles
An alternative combined uncertainty relation (EGUP) is introduced, and the GEUP is shown to gain a third branch that the authors label—without a derived metric—a new type of black hole.
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Canonical form of a deformed Poisson bracket spacetime
A Hamiltonian is constructed that renders a deformed Poisson bracket spacetime theory canonical and covariant, enabling consistent coupling to scalar matter and dust.
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Classical Polymerization of the Bianchi I Model with Deformed Poisson Structure
An exponential Poisson-deformation in polymerized Bianchi I turns the volume collapse logarithmic and can bound the anisotropies — but the paper attaches its boundedness threshold to the wrong end of the evolution.
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Generalized Uncertainty Principle mimicking dynamical Dark Energy: matter perturbations and gravitational wave data analysis
In a GUP-modified cosmology, matter fluctuations grow more slowly and the primordial gravitational wave spectrum is enhanced at high frequencies, leading to a claimed bound β ≲ 10^39.
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Geometry of a generalized uncertainty-inspired spacetime
In a GUP-inspired quantum black hole metric, the classical singularity at r=0 becomes a null surface at infinite affine distance, yielding a non-traversable wormhole and a zero-temperature remnant.
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UV Effects and Short-Lived Hawking Radiation: Alternative Resolution of Information Paradox
Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
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Observational constraints on the modified cosmology inspired by string T-duality
Late-time data bound the T-duality zero-point-length coupling to β ≲ 10^-3, leaving ΛCDM statistically equivalent.
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Statistical Entropy Based on the Generalized-Uncertainty-Principle-Induced Effective Metric
With GUP-modified effective metrics and tuned cutoffs (or tuned GUP parameter), the brick-wall entropy is made to reproduce the Bekenstein-Hawking area law.
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Pseudo-Complex Gravity as a Geometric Resolution of the Black Hole Information Paradox
Pseudo-complex gravity is applied to the black hole information paradox, but the central singularity-regularization claim fails for the paper's own metric.
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The new higher-order generalized uncertainty principle and primordial big bang nucleosynthesis
A higher-order GUP is fitted to BBN abundances, but arithmetic errors invalidate the reported parameter bounds.
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Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics
The authors derive a black hole metric with a cosmological-constant-dependent effective mass and use EHT and VLBI data to put extremely weak bounds on a quantum parameter beta.
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Rethinking quantum information in gravity and fields
The paper organizes important open questions in quantum gravity and quantum information into four themes without presenting new results or derivations.
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