# Prospect of Chandrasekhar's limit against modified dispersion relation

## TL;DR

This paper investigates how quantum spacetime fluctuations, modeled via a modified dispersion relation, affect the Chandrasekhar limit, revealing that general relativity prevents the predicted super-stability seen in Newtonian gravity.

## Contribution

It demonstrates that the Chandrasekhar limit remains valid under general relativistic treatment despite quantum spacetime fluctuations, contrasting previous Newtonian predictions.

## Key findings

- Newtonian predictions suggest super-stability with quantum fluctuations
- General relativity restores the Chandrasekhar limit despite fluctuations
- Onset density for collapse remains unchanged across fluctuation strengths

## Abstract

Newtonian gravity predicts the existence of white dwarfs with masses far exceeding the Chandrasekhar limit when the equation of state of the degenerate electron gas incorporates the effect of quantum spacetime fluctuations (via a modified dispersion relation) even when the strength of the fluctuations is taken to be very small. In this paper, we show that this Newtonian "super-stability" does not hold true when the gravity is treated in the general relativistic framework. Employing dynamical instability analysis, we find that the Chandrasekhar limit can be reassured even for a range of high strengths of quantum spacetime fluctuations with the onset density for gravitational collapse practically remaining unaffected.