Mathematicians have now extended Einstein’s theory of special relativity to include faster-than-light travel.

Einstein’s theory says that nothing is able to move faster than light can, but Professor Jim Hill and Dr Barry Cox at the University of Adelaide’s School of Mathematical Sciences have now created new formulas that say that faster-than-light movement is mathematically possible.

“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,” a University of Adelaide news release wrote.

“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 new formulas change special relativity to allow circumstances where ‘the relative velocity can be infinite,’ and therefore can be used to allow movement that is 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.”

The research was just published in the journal *Proceedings of the Royal Society A*.

*Source: University of Adelaide
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*Image Credits: Light via Wikimedia Commons*

## 1 comment

There is another paper extending and improving Hill & Cox paper of special relativity beyond the speed of light, which also proposes a method to push particles beyond the speed of light using existing technology and equipment. The paper is at: https://www.researchgate.net/publication/265643274_Extended_principle_of_relativity_beyond_speed_of_light_and_a_method_to_push_particles_beyond_the_speed_of_light . It can be a great milestone in physics. If it works it will be a new portal to physics and if proven wrong it will not only prove this theory wrong but also Hill & Cox and many other theories of relativity beyond the speed of light.