To be fair to Lynds' paper, consider that it would be very difficult to mathematically prove his concept given that much of what's taken for granted as far as math's ability to demonstrate falls apart in the face of his idea - math is dependent upon a level of precision (and a conceptual misunderstanding about our ability to be precise) that his paper suggests we simply cannot have.
Earlier, someone mentioned that if Lynds knew Calculus or momentum theory, he'd have never written his paper. Perhaps that's exactly the point!
The Lynds Super-Uncertainty Principle is as much philosophy as science. Precision is based upon perception, and perception is relative (therefore suspect).
Although complex mathematic equations and theories have so far been able to successfully model the perceived behavior of universe... it's all about perception.
If a fundamental perception used while developing a system was even slightly wrong, then no matter how precisely the results of that system might seem to match, they'd still be still wrong. Remember that it was only the little boy in the crowd who pointed out the simple truth about the Emperor's New Clothes.