8:14 AM PT -- A rep for Cory Booker confirms to TMZ he did not wear a diaper during his record-setting Senate speech ... meaning he gabbed for over 24 hours without going to the bathroom. Cory Booker ...

U.S. Senators Elizabeth Warren, Kamala Harris, and Cory Booker, as well as dozens of members of the U.S. House of Representatives, big-city mayors and liberal activists, joined in the demonstrations ...