Although the notion of a tachyonic imaginary mass is troubling[why?], the mass is not quantized. Rather, the scalar field is; even for tachyonic quantum fields, the field operators at spacelike separated points still commute (or anticommute), thus preserving causality. Therefore information still does not propagate faster than light.[1] Also the "imaginary mass" really means that the system is unstable and that solutions will grow exponentially, but not superluminally (there is no violation of causality).What they mean is it is not packed Nulls. Not big deal, unless you believe that matter is somehow different stuff. Then they say this:
Once the tachyonic field reaches the minimum of the potential, its quanta are not tachyons any more but rather have a positive mass-squared, such as the Higgs boson.[2]
There is no reason to bring fields into the picture. Why do they do that? The minimum is when the phase bubbles catch the nulls and pack it, the excess phase bubbles do the gamma and fly away. What is the problem here? Oh yes, we must not violate the sacred engineering approximation called the 'field'. If we never violated the sacraments, we would never have digital systems.
Higgs was absolutely correct, he simply was handicapped by Isaac's rules of calculus grammar. Fields are all about having someplace to do a limit when dx goes to zero. The real issue in physics is who made the vacuum, no one has an answer. So why bother doing the limit when dx goes to zero if you do not know yet if God allows that? And if you do not yet have God, then why not put the Nulls right there into the mix?
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