Silence, by one Merriam-Webster definition, is the absence of sound or noise.
By a second, it is the forbearance of speech.
Thus, the Right to Silence has a double meaning.
One has the right to be free of disturbing noise,
that which "disturbs the peace."
One also has the right to not speak,
the opposite choice of (Freedom of) Speech,
as in "you have the right to remain silent."
The Right to Silence, therefore, provides for stillness or muteness.