University of Adelaide applied mathematicians have extended Einstein’s theory of special relativity to work beyond the speed of light.

Einstein’s theory holds that nothing could move faster than the speed of light, but Professor Jim Hill and Dr Barry Cox in the University’s School of Mathematical Sciences have developed new formulas that allow for travel beyond this limit.

Einstein’s Theory of Special Relativity was published in 1905 and explains how motion and speed is always relative to the observer’s frame of reference. The theory connects measurements of the same physical incident viewed from these different points in a way that depends on the relative velocity of the two observers.

“Since the introduction of special relativity there has been much speculation as to whether or not it might be possible to travel faster than the speed of light, noting that there is no substantial evidence to suggest that this is presently feasible with any existing transportation mechanisms,” said Professor Hill.

“About this time last year, experiments at CERN, the European centre for particle physics in Switzerland, suggested that perhaps neutrinos could be accelerated just a very small amount faster than the speed of light; at this point we started to think about how to deal with the issues from both a mathematical and physical perspective.

“Questions have since been raised over the experimental results but we were already well on our way to successfully formulating a theory of special relativity, applicable to relative velocities in excess of the speed of light.

“Our approach is a natural and logical extension of the Einstein Theory of Special Relativity, and produces anticipated formulae without the need for imaginary numbers or complicated physics.”

The research has been published in the prestigious *Proceedings of the Royal Society A* in a paper, ‘Einstein’s special relativity beyond the speed of light’. Their formulas extend special relativity to a situation where the relative velocity can be infinite, and can be used to describe motion at speeds faster than light.

“We are mathematicians, not physicists, so we’ve approached this problem from a theoretical mathematical perspective,” said Dr Cox. “Should it, however, be proven that motion faster than light is possible, then that would be game changing.

“Our paper doesn’t try and explain how this could be achieved, just how equations of motion might operate in such regimes.”

No, you’d observe(1) him to be moving at the speed of light relative to you. He’d see you moving at the speed of light relative to him. An external observer would see *both* of you moving at the speed of light in opposite directions.

(1) Except…if you were travelling *at* the speed of light, you would not observe *anything* because you would not experience the passage of time.

Welcome to the great world of Special Relativity!

i meant “ftl”…sorry.

my question is literally “what?” in this fit regime. smart people will understand.

If I was a beam of light that was travelling towards my friend who was also a beam of light but coming straight at me would I observe my friend travelling at twice the speed of light? Would I see him at all?

The question is how time would operate in this ftl regime.

If you only knew the Power of the darkside..

So the (now known to be erroneous) OPERA FTL neutrino result set a few theoretical hares running? Good. But now I want to know how this avoids causality violations, or if it just lives with them.

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