"At the very the least, they can read the riot act to Musk's lawyer," said Stephen Crimmins, a former SEC enforcement lawyer who's now a partner at Murphy & McGovern. "Beyond that, if they feel he hasn't lived up to his deal, they can theoretically seek to pull the settlement."
Tesla shares fell as much as 4.1 percent $270.40 as of 7:50am Friday in New York. The stock was down 9.5 percent this year through Thursday's close.
Representatives for the Palo Alto, California-based company didn't respond to requests for comment. Ryan White, an SEC spokesman, declined to comment.
The posts may test the boundaries of Musk's agreement not to deny wrongdoing and risk reviving stiffer forms of punishment. Last week, the SEC sought to prohibit him from serving as an officer of a public company. A federal judge still has to decide whether the penalties levied against the CEO are appropriate.
"Reading the mind of Elon Musk is beyond my ability, but he is soon to join the SEC in front of a federal judge to defend the recent settlement agreement," said Stephen Diamond, an associate professor of law at Santa Clara University, who specialises in corporate governance. "If he doesn't want to put that deal at risk, he ought to pay attention to cars instead of Twitter."
Musk also dragged BlackRock Inc. into his long-running dispute with short sellers, claiming that the fund manager was reaping heavy profits by lending shares they hold to this group of investors. Representatives for BlackRock in London weren't immediately available for comment. The company held about 3.8 percent stake in Tesla as of the end of June, according to data compiled by Bloomberg.
It all started on Thursday at 4:16 p.m. New York time with a tweet that's racked up more than 29,000 likes and 4,400 retweets: