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If we're going to have an Internet full of things so that we can friend our Coke machines and our refrigerators on Facebook, wireless carriers say there needs to be more wireless spectrum available to LTE and fourth-generation technologies than there currently is. Nonsense, said a group of Citi investment analysts last month, who provided explicit, mathematically detailed analysis that appeared to prove that, even by 2015, fully deployed LTE would only consume 52% of the available space.

That depends on which numbers you choose to believe, according to a report released this morning by independent telecommunications researcher Peter Rysavy (PDF available here). If you've heard the name before, Rysavy was the fellow who told the Mobile World Congress last year that the first impact of spectrum shortage would hit in 2013, in analysis sponsored by Research In Motion.

The then-newly installed chairman of the Federal Communications Commission, Julius Genachowski, said in October 2009, "We are fast entering a world where mass-market mobile devices consume thousands of megabytes each month. So we must ask: What happens when every mobile user has an iPhone, a Palm Pre, a BlackBerry Tour or whatever the next device is? What happens when we quadruple the number of subscribers with mobile broadband on their laptops or netbooks? The short answer: We will need a lot more spectrum."

Yesterday, a systematic and mathematical analysis of U.S. spectrum allocation blatantly called Genachowski's statement to the 2009 CTIA Wireless conference flat wrong.