What Pete said, and maybe you could use it to check your answer, the speed of light is supposed to be a single constant value, so then when someone says, no no no, it must have all of this other junk also behind it, then you could solve for "c" and then find out if $$ E = m c^{2} + other junk $$ actually gives you the correct speed of light. What is the speed of light squared anyways? I thought everything was supposed to be shown that there is a single constant value of c, not $$c^{2}$$, lol.
The $$c^{2}$$ term is necessary for the units to match, just $$c^{1}$$ wouldn't be enough. Of course that's just a reason why it couldn't be c but that reasoning doesn't preclude something like $$E = 5mc^{2}$$, the units still match. The specific form of the expression follows from the internals of special relativity, specifically the form of the metric, Lorentz invariant and conservation of energy and momentum.
My friend, not everything can be explain with physics and euqations.
Except in this case we're actually talking about an equation within physics. Regardless of whether or not reality really does satisfy the dynamics of special relativity the fact remains $$Ec^{2} = m$$ is meaningless. Others have tried to explain it to you but I'll give it a shot too.
We all know speed*time = distance if the speed is constant, so d = vt. Velocity is measured in lengths per unit time, $$[v] = LT^{-1}$$. Distance is measured in lengths, $$[d] = L$$ and time is measured in units of time, $$[t] = T$$. So we have $$[vt] = [v][t] = (LT^{-1})T = L = [d]$$ so it is at least consistent with units. But what if someone said "But I claim it is v = k*d*t[/tex] where k is some constant". Let's look at a specific example. A car is moving at 36 kilometres per hour. It drives for 2 hours and covers 72 kilometres according to d=vt. I decide I prefer metres, not kilometres and I prefer seconds, not hours. There is 1,000 metres in a kilometre and 3600 seconds in an hour. So d = 72,000 metres. v = 36,000 metres per 3600 seconds = 10 metres per second. The time is t = 2 hours = 2*3600 seconds = 7200 seconds. So what is vt? Well vt = (10 meters per second)*(7200 seconds) = 72,000 metres, which indeed is d. So we have gone from 72 = 36*2 to 72,000 = (3600)*10. Fine. No contradiction.
But what if we did v = k*d*t? So first we do it in kilometres and hours and work out k. v = 36 km/hr. d = 72km. t = 2 so v=k*d*t becomes 36 = k*72*2 = 144k and so this is only going to match is k = 36/144 = 1/4. So now we have v = d*t/4. So now change to metres and seconds. v = (36,000 metres) per (3600 seconds) = 10 metres per second. t = 2 hours = 7,200 seconds. d = 72 km = 72,000 metres. So what is k*d*t = d*t/4? d*t/4 = 72,000 * 7200/4 = 129600000. Last time I checked 129600000 is not equal to 10. So the formula cannot be right as if it works for one choice of units it can break for another.
The reason it failed is that the 3,600 factor from changing hours to seconds multiplied together instead of cancelling one another. If t had been on the other side then the change would have cancelled out and it would have been okay. This
always happens when you don't get your units right. Even if you allow for a constant multiplying factor in each term you can always find a choice of units where the formula is inconsistent.
Nehustan only proven that the equation is dimensionally wrong. He did not proved that it is incorrect.
Proving it wrong via units
proves it wrong. It's like saying 1 km = 1 hour. Yes 1=1 but if you use metres then you have 1000 metres = 1 hour and obviously 1000 isn't equal to 1.
teh forum elites want to shut me up because they think they have bigger physics dicks. and thus they are superior.
Firstly the posters here aren't 'forum elites', don't imagine some cabal of people out to get you. Secondly someone showing they understand units doesn't give them a 'bigger physics dick' or make one 'superior', it shows they paid attention in physics lessons when they were 15. This isn't high brow stuff, it is a concept fundamental to
any kind of description of physical things, be it engineering, chemistry, biology or physics.
You should do something about that chip on your shoulder, it must be giving you balance problems.