Minimal Length, Measurability and Gravity

TL;DR

This paper explores the implications of minimal length theories on quantum mechanics and gravity, emphasizing measurability and providing a unified approach to quantum and gravitational models.

Contribution

It introduces a framework for analyzing quantum and gravitational theories using measurable quantities within minimal length concepts.

Findings

Quantum theory in momentum representation with measurable quantities.

Application of the approach to a Markov gravity model.

Illustration of gravity studies through measurable quantities.

Abstract

The present work is a continuation of the previous papers written by the author on the subject. In terms of the measurability (or measurable quantities) notion introduced in a minimal length theory, first the consideration is given to a quantum theory in the momentum representation. The same terms are used to consider the Markov gravity model that here illustrates the general approach to studies of gravity in terms of measurable quantities. This paper is dedicated to the 75th Anniversary of Professor Vladimir Grigor'evich Baryshevsky.