What is the ruling on using loudspeakers in mosques if they cause disturbance to neighbors, and are they an innovation or a useful tool for delivering the sound of the Azan?

Scholars have agreed upon the desirability of raising the voice with the Adhan (call to prayer) because it manifests a شعيرة (ritual or emblem) of Islam, exalts the word of Tawhid (monotheism), and invites people to prayer. Loudspeakers are considered a legitimate and recommended means to achieve this objective. The claim that the sound of loudspeakers is disturbing or that they are an innovation is a corrupt and false statement.