Holographic indeterminacy and neutron stars

TL;DR

This paper explores how holographic indeterminacy from spacetime quantization affects neutron stars, suggesting they are a natural setting where quantum gravitational effects could have observable consequences.

Contribution

It introduces a new indeterminacy principle linking holographic uncertainty to neutron star properties, proposing neutron stars as a physical context for quantum gravitational effects.

Findings

Holographic uncertainty exceeds particle spacing at critical mass/density

Chandrasekhar mass emerges as minimum mass for holographic effects

Neutron stars are identified as bodies where quantum spacetime effects are significant

Abstract

The holographic indeterminacy resulting from the quantization of spacetime leads to an inherent uncertainty (lpL)1/2 in the relative positions of two events, separated by a distance L, in a direction transverse to a null ray connecting the events, where lP is the Planck length. The new indeterminacy principle leads to a critical condition in which the holographic uncertainty in the relative transverse positions of two diametrically opposed particles on the surface a body becomes greater than the average distance between particles in the body. The Chandrasekhar mass and the characteristic nuclear density emerge as the minimum mass and density of a baryonic body that could meet the critical criteria. Neutron stars are therefore identified as a class of bodies in which holographic indeterminacy may have physical consequences.