Mathematicians Extend Einstein's Special Relativity Beyond Speed of Light
Hugh Pickens writes "The Christian Science Monitor reports that despite an apparent prohibition on faster-than-light travel by Einstein's theory of special relativity, applied mathematician James Hill and his colleague Barry Cox say the theory actually lends itself easily to a description of velocities that exceed the speed of light. 'The actual business of going through the speed of light is not defined,' says Hill whose research has been published in the prestigious Proceedings of the Royal Society A. 'The theory we've come up with is simply for velocities greater than the speed of light.' In effect, the singularity at the speed of light divides the universe into two: a world where everything moves slower than the speed of light, and a world where everything moves faster. The laws of physics in these two realms could turn out to be quite different. In some ways, the hidden world beyond the speed of light looks to be a strange one. Hill and Cox's equations suggest, for example, that as a spaceship traveling at super-light speeds accelerated faster and faster, it would lose more and more mass, until at infinite velocity, its mass became zero. 'We are mathematicians, not physicists, so we've approached this problem from a theoretical mathematical perspective,' says 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.'"
As I understand it from reading a few other articles, there still exists the challenge of getting past the barrier of infinite energy required to even match the speed of light. Perhaps there will be found a way to tunnel past it, but I expect that while all the math may work neatly, actually breaking through is going to be nearly impossible. Then there's the problem of slowing down which means tunneling back through the other way.
Much as I've been warned off by the articles that claim the paper to be fairly impenetrable to non-mathematicians, I'm tempted to pay the $30 to get the article anyway.
You can never go home again... but I guess you can shop there.
This is the first post in the unhidden world!
> until at infinite velocity, its mass became zero.
finally a diet that works!
No one yet answered this question, what is the speed of information? What is the speed of the universal laws? What is the speed of the gravitational force??????
What. The. Hell. This is not profound. This is trivial.
Anybody that took any science classes knows that the equations work fine as long as v != c. Just like I can get negative frequencies out of a fourier transform. The math works, but that doesn't mean I have actual, physical negative frequencies.
Some parts make sense: At infinite velocity, a particle would necessarily pass through every point in the universe. The particle must have zero mass otherwise the entire universe would collapse into a singularity exceedingly quickly as the mass of the universe becomes effectively infinite.
Just a random thought.
No sig. Move along - nothing to see here.
have not RTFA,
but if you just let the mass become imaginary, the relativistic velocity equations work just fine.
the only singularity comes in when you're going at c.
My question is what happens with time in an FTL regime? Speeds up? Slows down? Goes backwards?
I don't think there is much new here, several tachyon papers have trodden down this road before (e.g., http://arxiv.org/pdf/1112.4187v2.pdf).
If they somehow have figure out how to extend the lorentz transform for v > c in 4 dimensional space (vs 6 dimensional space as asserted in the above reference paper to void imaginary distances), that would be something.
Unfortunatly, I haven't found a way around their paywall (yet) to see what they are up to...
The Christian Science Monitor reports that despite an apparent prohibition on faster-than-light travel by Einstein's theory of special relativity,
There was never any such prohibition or restriction. The prohibition is on as-fast-as-light-in-a-vacuum travel.
he postulated tachyons and their properties again?
Hill and Cox's equations suggest, for example, that as a spaceship traveling at super-light speeds accelerated faster and faster, it would lose more and more mass, until at infinite velocity, its mass became zero.
What happens above infinite velocity?
I, for one, am sick of science "breakthrough" reporting like this. Oooh, we understand physics past the speed of light now!
Stop for a second. Do you even understand the current state of settled science on General Relativity? Do you appreciate the problems that existed in pre-GR, and how Einstein's equations were such a beautiful, innovative solution to them? Have you connected it to your general understanding of science and astronomical observation? How much would you have needed to be told to connect the rest of the dots yourself?
And yet people are so excited about the mere possibility of passing the next hurdle.
Well, dispense with chasing these bleeding edge results that you barely understand the pre-requisites for. Grab a good textbook, and just see if you can understand and appreciate the physics that physicists don't argue about anymore. You'll actually learn something.
(Too lazy to credit the article that gave me this insight.. Just google the subject.)
Information theory is life. The rest is just the KL divergence.
No, it's the Christian Science Monitor. How are Christians supposed to know what to get upset about next if science isn't being monitored?
Blank until
Didn't Tesla believe that as something moved faster it would lose mass and that things could move faster than the speed of light?
If this story turned out to be true, that would be a huge victory for Tesla.
http://en.wikipedia.org/wiki/Double-slit_experiment
information traveling faster than the speed of light.
Every couch potato has already verified that at zero velocity, mass becomes infinite.
My God, it's Full of Source!
OUTSIDE_IP=$(dig +short my.ip @outsideip.net)
So that's his secret! Not our yellow sun, not the cape ... it's SPEEDO FLIGHT !!
This post contains no rudeness or derision of any kind. All arguments are friendly. Terms and exclusions may apply.
From what I've read, there is only one speed in the universe, which is the speed of light. Velocity can be thought of as a fourth dimensional vector, including the three dimensions of space and the dimension of time. Speed is the length of the vector, which is constant. When one goes faster in space, one moves slower in time, but the length of the vector remains the same.
One link is necessary for Slashdot. Slashdot isn't Wikipedia.
After reading the first sentences of your submissions and seeing five different links, I give up and go to reddit for the actual story. You're doing Slashdot a disservice.
Go create your own blog with a feed.
Thank you.
'The theory we've come up with is simply for velocities greater than the speed of light.' In effect, the singularity at the speed of light divides the universe into two: a world where everything moves slower than the speed of light, and a world where everything moves faster.
Actually, the exact opposite is the truth: nothing can move faster or slower than c. It is an illusion that objects move slower than c. Motion is discrete and consists of discrete jumps at c interspersed with huge numbers of discrete wait periods. This is true regardless of how smooth you think motion is. Why is c the only possible speed? For two reasons:
Firstly, a time dimension is illogical. Why? Because a time dimension makes motion impossible? Why? Because it is self-referential. This is the reason that Karl Popper compared Einstein to Parmenides and called spacetime, "Einstein's block universe in which nothing happens. Surprise! So in order for an object to move at different speeds, nature would have to calculate temporal intervals, which is impossible.
Second, the universe is necessarily discrete. Why? Because a continuous universe would lead to an infinite regress.
Read Physics: The Problem with Motion for more if you're interested. Believe me, you don't understand motion especially if you think you do. The truth is weirder than fiction.
and im reading your article , so fuck you.....
have a nice day....and your full a shit with that math btw..
There is another article ... Time-twisting test stuck in limbo that I read about, and I was wondering if the articles might be related - or the experiment might be related to this article and they didn't know about the relationship?
You don't need years, just minutes. Ptolemaic system already did it. In fact, there are working physical models which demonstrate the relative positions of planets given a geocentric alignment.
Good Fuck, did you not consider that someone else might have done this in the thousands of years since we have had enlightened beings on our planet? Ptolemy based his work on the Babylonians.
http://en.wikipedia.org/wiki/Geocentric_model
Somewhere around the discovery of the functions of the Antikythera Mechanism, slashdot had a link to a website where you could switch between a geo- vs helio- centric view of the solar system, an animation which displayed what was happening at that moment in time. I could not find it in time for apathy to set in, Bing it if you feel the need.
Here's a picture for you to start with, undoubtedly created from a model
http://en.wikipedia.org/w/index.php?title=File:Geoz_wb_en.svg&page=1
If it cannot, then it's impossible to ever surpass the speed of light because the amount of energy in the universe is definitely finite and it's unchangeable.
I remember reading something very similar in the Star Wars technical commentaries on hyperspace and the actions of tachyons if they had mass. Obviously they didn't go into the math, but if this is the first time anyone tried this it's very surprising
Einstein never nothing could travel faster than light, he said nothing could accelerate faster than light. If start you off going faster than light, that's fine.
AFAIK, all actual experiments point out that baryonic matter GAINS mass as it approaches C. Again, AFAIK, experiment always trumps theory, so explain to me how, after 100 years of confirmation, I some how missed the fact that matter loses mass as it gains velocity? I must have been on a vacation this passed century, someplace called REALITY.
Shoes for Industry. Shoes for the Dead.
they literally said that, IN the summary. 'We are mathematicians, not physicists, so we've approached this problem from a theoretical mathematical perspective,'
I've decided to Diversify my Holdings. I've divided my cash between my left and right pockets, instead of all in one.
A bullet travels faster than sound.
The question was whether we could have manned flight faster than the speed of sound. Not whether we could break it.
As far as we know, nothing travels faster than light.
The math works, but that doesn't mean I have actual, physical negative frequencies.
2nd: Give me a few (hundred?) years and I'll come up with a mathematical model where the sun, planets and the rest of the universe is circling around the earth.
It wouldn't make sense whatsoever, but mathematically it still would be true.
...No need to waste many years of your life coming up with a mathematical model. The greeks did it "a few" centuries ago (in the 2d century AD, to be a tad more precise).
More info here:
https://en.wikipedia.org/wiki/Geocentrism
*** Suerte a todos y Feliz dia!
As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.
Tell us a little more.
Too tired to read TFA. But from TFS, I had the impression they merely applied the basic rules of algebra to sort-of reverse the equations like when you solve for x given "6 = 3x"?
But from my admittedly basic understanding of mathematics it should be possible to express anything; even if the thing that's being expressed makes no sense whatsoever. From a programming (algorithmic) perspective it's very easy to come up with a "model" of something that doesn't exists at all. All states of this imaginary model would of course be valid, given the parameters of the model, and valid when using the model itself as a reference. How is "extending" formulas in mathematics different? How is coming up with a '[...] theory we've come up with is simply for velocities greater than the speed of light' saying anything at all apart from their formulas "work" (whatever that means). Going a step back, though, is that even a theory at all? Doesn't sound like one to me. Maybe a hypothesis, if stated differently, but surely not a theory.
I've often wondered: if you're using a fuel where the energy produced is derived directly from the mass you input (like a fusion or matter-antimatter reaction), wouldn't the energy you get increase as you get closer to the speed of light and the mass of your fuel (assuming you're carrying it with you) increases? In other words, wouldn't the increase in energy cancel out the increase in mass, so your acceleration stays the same?
Of course, after doing some math, I wonder why anyone wants to go anywhere near the speed of light. Using standard Newtonian physics (without even taking relativity into account), I figured out that, assuming you're converting mass directly to energy with 90% efficiency, something like 95% of the mass of your ship would have to be fuel, and unless someone invents some type of anti-gravity technology, it would take over a year to accelerate to that velocity (and another year to decelerate at the end of your trip).
Sit, Ubuntu, sit. Good dog.
Even though parent may have a point, please do not be discouraged.
Many of us recognize that every post can't be a hit.
I welcome your contributions and hope they keep coming.
I have read parts of your blog and enjoyed it. If you create a feed, please post it on Slashdot.
Sincerely,
No disrespect to parent.
I thought when you put values greater than c into Einstein's equations you get values involving the square root of negative 1
which does not exist.
Mathematicians used to refer to that number as lower case i
But I think Apple have patented, trademarked and copyrighted that these days.
They should expect a lawsuit.
I've always considered this to be somewhat implicit.
The issue with faster than light travel is that if you speed is exactly the speed of light and you have a rest mass, there is a division by zero in the relativistic energy-momentum equation (and I imagine others too). It simply isn't defined for that input.
But for all others, it seems defined just fine. I've always interpreted this as, you can slower that light, you can go faster, but you can't transition from one to the other because at some point, you'd be going AT the speed of light.
Yeah. Good luck with that proof. I'm outa here, with c.
CLI paste? paste.pr0.tips!
'The actual business of going through the speed of light is not defined,'
The SUMMARY...never mind the ARTICLE!!!! explains that this is a thought exercise about the > c universe. No need to share your high school physics-level knowledge about approaching the speed of light. This is SlashDot. WE KNOW!!!
I swear to God...I swear to God! That is NOT how you treat your human!
Makes a lot of sense. The faster my billiard ball rolls, the less friction it needs to overcome and the less friction it applies to the table surface. Friction occurs over time. So it makes sense that at massively significant speeds, (finally got to use massive correctly) less mass would be "applied" to the space.
I actually like the idea of mass acting like friction, it compliments the idea of gravity quite well -- and says that if you move fast enough, gravity matters less and less.
This sounds ridiculous. Everyone who knows relativity knows that the universe is divided into less than light speed (time-like) and 'greater than' light speed (space-like).
The reason that we call the second space-like is that there is no causal relationship over time, so it is wrong to consider this as movement of an object.
So faster than light is non-causal, therefore not motion. It is not because you can't physically accelerate a body beyond the speed of light.
If you think about it, you keep feeding antimatter-matter reaction energy into an engine that makes your spaceship go 1 direction, SOMETHING has to happen after you're already going the speed of light. Some cosmic hand doesn't reach down and stop you from accelerating more, that's stupid. The energy doesn't simply disappear from the universe, that's impossible. The matter doesn't simply fail to accept the energy, that's weird and without precedent. So the only explanation is that it can still take more energy and accelerate faster, just physics don't work correctly at that point. Simple and obvious.
A friend of my in the 70's who was a math grad student at the time was playing with taking the absolute value of gamma = 1 / sqrt(1-v^2/c^2) to avoid the imaginary aspect of the term. Only at light speed was a massive particle forbidden. The square of the momentum remains real. Other results were the same: Things become less energetic the farther you get from light speed in either direction. At sqrt(2) times c, your relativistic mass and time are the same as at rest and your subjective trip time matches that of distant observers. Finally, at infinite speed you have zero mass and your subjective trip time is the same as the distance traveled (times c, of course). I seriously doubt my friend was the first person to come up with this. What's different with the new publication, AFAICT, is that these guys have an eager university press office. I love it when the press release folks feel obliged to mention that the work appears in a "prestigious" journal.
Credo sim. - I think I am.
The un-nerving part is that you try to induce others into error.
Otherwise, you would kill people.
I think I honestly spent more time reading the comments on your blog than your blog itself.
You were doing reasonably well up to this point, whereupon I stopped reading the rest in the realisation that this is nonsense.
"having achieved infinite velocity their mass would be zero"
There is no such thing as infinite velocity. There is no number you can point to and say "that is infinite", so it cannot be used to measure speed. Any number you can conceive of, no matter how large, is so far below 'infinite' that it might as well be zero.
All of which is a great shame, as breaking the light speed barrier is the only thing that will make the stars anything other than twinkling lights in the night sky, forever beyond our reach. And having them within our reach is a dream that many have. If we are trapped on this bloody rock forever, on the shores of such a vast and alluring sea, then that just sucks big time.
everything is possible.
It's physics that's the problem.
Work Safe Porn
Now we're losing mas as we accelerate!
Actually I think they say this because they are mathematicians, not physicists. Mass is a Lorentz invariant and is constant in all inertial frames and it is a common misconception deriving from the fact that it is easier to think of mass increasing with speed that it is to grasp the concept that our Newtonian notion of velocity does not actually work in relativity because space and time are relative and not independent of one another. My guess is that this is also true in their paper and that, rather than mass decreasing, it is their concept of velocity which actually needs to change, not the mass.
['We are mathematicians, not physicists, so we've approached this problem from a theoretical mathematical perspective,' says Dr Cox.]
And the jokes starting with "so a mathematician, a scientist and an engineer walk into a bar" begin in 3... 2... 1...
Interestingly enough, while the OP is clearly not playing with a full deck, there is a phenomenon know as Zitterbewegung which is very similar to what the OP was suggesting. However this behaviour is suggested by free-particle solutions to the Dirac equation which is firmly grounded in both special relativity and quantum mechanics.
Essentially the solutions suggest that e.g. an electron may propagate by jittering back and forth at the speed of light such that the velocity averages out to the expected value. The frequency of this jittering is of the order of 10^21 Hz and so it has never been experimentally observed but it is, nevertheless, an interesting possibility. Sometimes reality is stranger than even crazy people think!
Should be: "Our paper doesn't try to explain..."
Whoah, scientists actually putting the importance of their work into perspective? Medical researchers of the world, take note!
Maths that does not translate into real physics is dangerous. Its predictions are not to be trusted. In any case the predictions have to be carefully verified experimentally.
Its like making the mistake by accidentially deviding by a null term. Such an equation can have an arbitrary result. Which of course makes no sense at all. Its a common mistake in long mathematical proofs.
I read this in 1995. Are not neutrino's at rest at 2C?
What do you think is worse?
Not getting the memo about FTL neutrinos?
Sleeping thru the "tachyon" lecture and later claiming to have discovered it?
the news would be more fitting for Columbus-Day ... considering that this "discovery" is not new at all.
Is this possible? In the universe for FTL does all matter fly apart? Maybe we are going backwards and just think we are going forwards? How would we know?
Sweet!
Remember kids, if you're not paying for the service, YOU ARE THE PRODUCT THAT IS BEING SOLD.
Why choose a damned paywall?
> until at infinite velocity, its mass became zero.
finally a diet that works!
Brings a new meaning to "rapid weight loss"
Pfft.... let me know when they figure out how to go faster than ludicrous speed.
http://www.youtube.com/watch?v=mk7VWcuVOf0
Fascism: An authoritarian and nationalistic right-wing system of government and social organization. See also: NAZI's
The tachyon solution to relativity (actually to Lorentz factors) was known a long time ago. I learned of it in high school, back in the early 70s.
Those who can make you believe absurdities can make you commit atrocities. - Voltaire
The precession of mercury's perihelion wasn't possible at that time to get accurate enough with the instrumentation available to prove that the evidence was solid.
We had to improve engineering a little before we could definitively call it proof.
they literally said that, IN the summary. 'We are mathematicians, not physicists, so we've approached this problem from a theoretical mathematical perspective,'
So? Just because they admitted to ignoring the real problem doesn't excuse them because they say "We're Math, not Reality!" It's like saying "Assuming that you can both have mass and not have any mass at the same time, our Math works!"
"christian science".
Uh no, you have it backwards. True scientific theories aren't just made up and then people try to dream up experiments to prove them. What happens is that we have a current accepted theory or set of theories that explain the results of most experiments. However there are one or more experiments whose results don't agree with the current theories. We then come up with a new set of theories that explains not only all the old stuff that the previous ones did but also the results of the new experiments. The Michelson-Morley experiment was one of the things that caused Einstein to come up with relativity. The results of the experiment didn't agree with the then current theories and therefore someone had to come up with something else. Einstein just happened to win the race.
You don't prove a theory with an experiment, you test a theory with an experiment. If theory "X" is true then doing this will result in "Y". Lets do "X" it and see if "Y" happens, if "Z" happens then we have to come up with a new theory. The best science can really say is that so far theory X explains why we get the results of all the experiments that we have done so far.
Thats why things like creationism aren't science. There is no way to come up with an experiment that might ( not will) disprove it.
There is no such thing as a separate universe. By definition the universe is everything that is. If it is possible to go faster than light then you are just going into another part of the universe.
Religion is an attempt to unscrew the inscruitable and collect big bucks or at least exert big control while doing it, it has nothing to do with mathematicians playing with equations.
No, your "scientific method" is fine. What you have then is a testable but -- until testing is both practical and executed -- untested hypothesis. Heck, even speculation as to mechanisms that doesn't yet have an identified testable prediction is important in science, its just the step before finding a testable prediction that would make the speculation into a testable hypothesis. Its obviously the goal to get to something that is not merely testable in principle, and not merely testable in practice, but actually tested. But there are several steps on the way to that, and each is important in science, and a being able to get to one of those steps without immediately taking the next doesn't mean "your scientific method is damaged". Its a routine part of science. And you publicize what you've been able to do, however far along the road you've gotten, and hopefully, even if you can't take the next step, someone else can, ideally soon, but sometimes it takes a while.
I remember my college frosh physics prof, like 10 years ago, mentioning that this was a possibility. Obviously entirely theoretical how he described it, but then, these guys don't make it sound any less theoretical, either.
...Scotty is not impressed. Looks like another one that Trek did first.
The Christiam Science monitor. So this is like creationism?
Faster than instant, is arriving before you leave! Which is what travelling faster than c is predicted to do.
... Which can also wreak havoc on a host's carefully arranged seating plans:
Local physicists are losing tons of mass by following this one, weird rule...
Nothing new. Look up Tachyon theory.
I cannot read the paper without paying for it. Is there a source to the actual paper without paying? I fundemantally do not believe in paying for scientific information and theories.
What are the interactions between sub-c and super-c objects?
Could this be the missing mass/dark matter/dark energy?
We, the credulous, want to know!
--
Does that make you feel better? No, didn't think so.
where everything becomes zero again not all neural pathways have been blocked. I wish i understood a little more of all of this than just what i can visualize. I'll need a few extre live to get some background in physics, mathematics and engineering but that's gonna be a lot of points and i'm out of credits ... cruel world
Free speech was meant to be free for all... how can anyone grow up in a nanny state ?