He supposed some geological freak had formed the mineral. Venus was a strange planet anyway. But that didn't matter. The important thing now was to get to know this process. He went off into a happy mist of quantum mechanics, oscillation theory, and periodic functions of a complex variable.

In going through Sophoulis' equations, Lancaster found what he believed was the flaw that was blocking progress. The man had used a simplified quantum mechanics without correction for relativistic effects. That made for neater mathematics but overlooked certain space-time aspects of the psi function. The error was excusable, for Sophoulis had not been familiar with the Belloni matrix, a mathematical tool that brought order into what was otherwise incomprehensible chaos. Belloni's work was still classified information, being too useful, in the design of new alloys, for general consumption. Lancaster went happily to work correcting the equations. But when he was finished, he realized that he had no business showing his results without proper clearance.