Natural modification of quantum uncertainty, modified gravity, and cosmology

Fuente: arXiv
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Autori principali: Boehmer, Christian G., Al-Nasrallah, Eissa
Natura: Preprint
Pubblicazione: 2026
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author Boehmer, Christian G.
Al-Nasrallah, Eissa
author_facet Boehmer, Christian G.
Al-Nasrallah, Eissa
contents A common approach in physics and mathematics is to extend and modify theories and frameworks by considering what is often described as a `natural' extension or modification by including higher-order terms or by introducing other non-linearities. We show that such an approach must be taken with care as physical models can be connected in indirect ways. What looks like a natural approach in one setting will likely not be natural in another. We use the flat Friedmann-Lemaitre-Robertson-Walker equations of cosmology to connect the generalized uncertainty principle to modified theories of gravity. A simple additional term in one setting leads to enormous complications in the other. We identify Born-Infeld models as the only ones which appear natural in both settings.
format Preprint
id arxiv_https___arxiv_org_abs_2605_18203
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Natural modification of quantum uncertainty, modified gravity, and cosmology
Boehmer, Christian G.
Al-Nasrallah, Eissa
General Relativity and Quantum Cosmology
A common approach in physics and mathematics is to extend and modify theories and frameworks by considering what is often described as a `natural' extension or modification by including higher-order terms or by introducing other non-linearities. We show that such an approach must be taken with care as physical models can be connected in indirect ways. What looks like a natural approach in one setting will likely not be natural in another. We use the flat Friedmann-Lemaitre-Robertson-Walker equations of cosmology to connect the generalized uncertainty principle to modified theories of gravity. A simple additional term in one setting leads to enormous complications in the other. We identify Born-Infeld models as the only ones which appear natural in both settings.
title Natural modification of quantum uncertainty, modified gravity, and cosmology
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2605.18203