Natural modification of quantum uncertainty, modified gravity, and cosmology
Abstract
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.
Versions
Related
- Evolving wormhole cosmology: modified Friedmann dynamics and observational constraints
- Constraining Modified Mass-to-Horizon Cosmology Through Primordial Inflationary Observables
- Ambiguity in matter sector for modified gravity involving δ 2 ℒm/δ gμ ν δ gα β and its implications to astrophysics and cosmology
- Modified Cosmology from Mass-to-Horizon Relation: Observational Bounds
- Physics-Derived Natural Coordinates for Fast Uncertainty Propagation in Multilayer Thermoreflectance
BibTeX
@misc{boehmer2026natural,
title = {{Natural modification of quantum uncertainty, modified gravity, and cosmology}},
author = {Christian G. Boehmer and Eissa Al-Nasrallah},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.18203},
eprint = {2605.18203},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.18203},
}
RIS
TY - UNPB
TI - Natural modification of quantum uncertainty, modified gravity, and cosmology
AU - Christian G. Boehmer
AU - Eissa Al-Nasrallah
PY - 2026
DA - 2026/10/26
PB - arXiv
DO - 10.48550/arxiv.2605.18203
UR - https://arxiv.org/abs/2605.18203
AB - 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.
ER -