Gravitons in different quantum states smear the light cone via operator treatment of Synge's world function, regularizing UV singularities in phi^3 and phi^4 one-loop diagrams with a 10^{-10} correction from primordial gravitons.
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Quantum gravity and minimum length
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abstract
The existence of a fundamental scale, a lower bound to any output of a position measurement, seems to be a model-independent feature of quantum gravity. In fact, different approaches to this theory lead to this result. The key ingredients for the appearance of this minimum length are quantum mechanics, special relativity and general relativity. As a consequence, classical notions such as causality or distance between events cannot be expected to be applicable at this scale. They must be replaced by some other, yet unknown, structure.
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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.
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
O(ℓ²) corrections to Padmanabhan's duality-invariant propagator are realized by a free massive scalar field in Euclidean R^{D+2}.
Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.
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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Squeezed Gravitons and One-Loop Self-Energy under Light-Cone Smearing
Gravitons in different quantum states smear the light cone via operator treatment of Synge's world function, regularizing UV singularities in phi^3 and phi^4 one-loop diagrams with a 10^{-10} correction from primordial gravitons.
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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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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
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On Padmanabhan's duality invariance and the quantum of length
O(ℓ²) corrections to Padmanabhan's duality-invariant propagator are realized by a free massive scalar field in Euclidean R^{D+2}.
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Uncertainty Principles and Maximum Entropic Force
Quantum gravity corrections via GUP, EUP, GEUP and LQGUP make the maximum entropic force depend on the uncertainty principles' dimensionless parameters and, for EUP, on the number of Planck areas composing the effective area.
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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.