Vibrating and Non-Vibrating Numbers

Every rational number that has an end vibrates with the repeating rational number right below it. Thus 2 vibrates with 1.99999999999..., 3.5 vibrates with 3.49999999... Note that rational numbers which do repeat, they vibrate as you calculate them to the number of decimal points you want, moving from gross vibrations, to much more fine vibration. The only rational number that doesn't repeat is 0. 0 doesn't vibrate. Transcendental numbers vibrate like repeating rational numbers.