How many people are watching Tucker Carlson’s new show on Twitter?

The four videos that Tucker Carlson has uploaded to Twitter since he was fired from Fox News have drawn intense interest from people in the overlapping worlds of media, tech and politics. The million-dollar question: Can the firebrand conservative commentator cultivate a devoted following on a brand-new platform?

Twitter does not disclose information about the number of people who watch videos on the platform, making it difficult to discern the size of the viewing audience for Carlson’s incendiary straight-to-the-camera monologues about topics like the federal indictment of former President Donald Trump and the war in...