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# [TR] US gov boffins achieve speeds FASTER THAN LIGHT - Page 10

The faster you go more contracted the length would be. So, yeah, you could contract it to a negative length with magnitude greater than the objects length at rest!

To further blow your mind, the ratio of the the circumference to the diameter of a circle in curved spacetime is no longer pi .

EDIT: Then again, that's also true for some cases in curved space like on a sphere.
Surely the ratio wouldn't be pi as the diameter would be greater? I'm probably imagining it wrong but I'm thinking of a circle on a spherical manifold, the 'circle' would no longer be 2D, it would appear to be concave/convex if the shape was visualised in Euclidian space, similar to a shallow dish if you will. This could however be a load of rubbish as I was giving a blind stab in the dark.

I think what would be really interesting would be to see how our system of mathematics holds or whether we'd need to remodel based on a different set of axioms.
That's pretty much it. Curvature does some nifty things!
The only thing I can think of the comes anywhere close to that would be polar co-ordinates, although that would obviously be for a plane.
Quote:

By the sound of it you are using 'Math' in placement of where we would say 'arithmetic', 'arithmetic' being basic numerical operations that might be used every day to buy stuff or whatever.
Also you are correct in saying that addition and subtraction are the most basic operations from which everything else is derived, however in most sets of axioms of mathematics such as the axiomizations of the Peano postulates, multiplication predefined as a basic concept and not derived from addition/ subtraction. (By 'axioms' I mean those stupid little things like a*b = b*a, a+b = b+a etc)
But then again, like this thread, Maths is great at going of on wild tangents, for the sake of basic arithmetic negative numbers are nonsensical, negative numbers are only useful every day relative to another number, you can't count out a negative number of things yet everyone accepts them as being incredibly useful and almost fundamental to mathematics.
Also I wouldn't say 'Physics' is plural in the classical sense, I don't believe you can partition such a diverse subject into two simple groups. I agree that generally you can leave stuff all the way down to the Planck length in a different category to Stellar dynamics, however with topics such as the Big Bang where everything is relevant, the lines between different areas of Physics get incredibly blurred and you end up working with an incredibly complex amalgamation of everything.
Either way I apologize for derailing the train that is this thread into a canyon of irrelevant topics.
I'm awaiting the general scientific communities reactions to this research and to see whether or not it will ever have any practical applications.

Oh for usability I wouldn't be so asinine, but I'm a huge english fan... It's one of my favorite subjects, so I did very well in college. I actually like the idea of studying language, and understanding how and why it works. Especially when we change the way words, changing social contexts. So as far as every day use, I wouldn't be so asinine. It's just that we change words for reasons, I'm guessing we took off the S in math because we didn't see it as a plural subject. That's here nor there, and unless we have a time machine all I can do is present my side of the argument. =P

I do agree on Physics though, cause until we can accurately map it out under one set of rules there is no practical reason to have one group. Currently we can't really use one set of rules, which sucks. =( One day, but I doubt I'll see it.
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Quote:
Originally Posted by mushroomboy

Oh for usability I wouldn't be so asinine, but I'm a huge english fan... It's one of my favorite subjects, so I did very well in college. I actually like the idea of studying language, and understanding how and why it works. Especially when we change the way words, changing social contexts. So as far as every day use, I wouldn't be so asinine. It's just that we change words for reasons, I'm guessing we took off the S in math because we didn't see it as a plural subject. That's here nor there, and unless we have a time machine all I can do is present my side of the argument. =P
I do agree on Physics though, cause until we can accurately map it out under one set of rules there is no practical reason to have one group. Currently we can't really use one set of rules, which sucks. =( One day, but I doubt I'll see it.

I don't see what you mean by 'one set of rules'? Physics is just applied mathematics, it's based on the same axioms, although it has to confine to the boring limits of that tedious thing called 'reality'.

Physics and Mathematics are just areas of study, in the same way Sport is an area of physical exercise, ergo there is no reason to remove the S off the end. Although I do agree that 'Math' is colloquial so me being pedantic about it is futile.
Quote:

We had to do a module in Programming aswell, we were using Python and it was unbelievably bad, I cannot program for the life of me. In retrospect I don't think a single thing in my final coursework worked properly (we had to program a game of Hangman to be drawn with some stupid extension called 'TurtleWorld' )
I'm looking forward to doing Cryptography and the optional modules instead of Vector related stuff, I hate Vectors with a passion.

If Python is not working out that well, but you are required to use it you could use FORTRAN instead and then use f2py wrapper from the Python. If I remember correct then the f2py wrapper were either part of NumPy or SciPy. I kinda disliked Python as well at first but once you get used to it its pretty ok. FORTRAN is ofc better for number crunching still in my opinion but Python is easier for general data management n stuff. Also I think there was a similar wrapper for C++ ? Dont know exactly as I don't do C++ but if one exists for FORTRAN it would make sense for it to exist for C++ as well.
Quote:

I don't see what you mean by 'one set of rules'? Physics is just applied mathematics, it's based on the same axioms, although it has to confine to the boring limits of that tedious thing called 'reality'.
Physics and Mathematics are just areas of study, in the same way Sport is an area of physical exercise, ergo there is no reason to remove the S off the end. Although I do agree that 'Math' is colloquial so me being pedantic about it is futile.

As far as I can see mathematics is the language of Nature and Physics uses that language to describe what we observe. And similar to real languages sometimes physics uses the language in a way that makes the hair stand up on the die-hard "grammar guys" in math department. The best examples, in my opinion are in this regard Heavyside function, Dirac Delta and arbitrarily discarding good chunk of solutions as "unnatural" more often than not. But languages are to be used to get the point across (You can tell I'm in Physics ) and "grammatically correct" has to take the back seat as long as it works.
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I don't think I'd be good at any programming language, my brain just doesn't like it.

And yes I agree Maths is the language of nature, Galileo himself said "Mathematics is the language with which God has written the universe.".

And yes whilst I agree that Mathematics has many weird ideas like those you mentioned, it gives rise to very interesting theoretical results like Gabriel's Horn and even awesome equalities like Euler's identity.
Quote:

I don't think I'd be good at any programming language, my brain just doesn't like it.
And yes I agree Maths is the language of nature, Galileo himself said "Mathematics is the language with which God has written the universe.".
And yes whilst I agree that Mathematics has many weird ideas like those you mentioned, it gives rise to very interesting theoretical results like Gabriel's Horn and even awesome equalities like Euler's identity.

Euler's identity is one of the most beautiful things I've ever seen in science.
Quote:
Originally Posted by Sourtop

Euler's identity is one of the most beautiful things I've ever seen in science.

Indeed.
http://en.wikipedia.org/wiki/Euler's_identity#Mathematical_beauty
Edited by lordikon - 5/11/12 at 8:35am
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