A possible quantum probability increase of the cylindrical gravitational field

TL;DR

This paper explores how quantum Zeno methods can significantly increase the probability of the cylindrical gravitational field's quantum state, potentially approaching certainty, by analyzing its quantization and wave function in different gauges.

Contribution

It introduces a novel application of quantum Zeno techniques to enhance the probability of the cylindrical gravitational field's quantum state, expanding understanding of its quantization.

Findings

Quantum Zeno methods can substantially increase the probability of the gravitational field's quantum state.

The cylindrical gravitational field can be analyzed in the commutation number representation.

The field's behavior in the transverse-traceless gauge and the trapped surface are discussed.

Abstract

As known, the cylindrical gravitational field (wave) have been canonically quantized and its wave function, as the quantum one, interpreted in probability terms. We show in this work, using quantum Zeno methods, that this probability may be substantially increased and even approach unity. For that we first show, in detailed manner, that the cylindrical gravitational field may be discussed in the commutation number representation. We also discuss this field in the transverse-traceless (TT) gauge and calculate the related trapped surface.