ebrown_p wrote:USAHokie,
You don't have the slightest idea of what you are talking about. Almost nothing you said is correct.
The amount of energy does not increase exponentially and Einstein never said that all things are moving at the speed of light. One's speed is not the magnitude of his trajectory...
<<Sigh.... it's not even worth the effort...>>
Actually, it is
you who is wrong. The magnitude of a vector <x,y,z> is in fact equal to its speed. Look it up in wikipedia... the last sentence in the first paragraph states "Speed is thus the magnitude component of velocity." Here is a small excerpt from
http://www.math.com/tables/oddsends/vectordefs.htm in case you don't understand.
"Definition: The magnitude of a vector A of dimension n, denoted |A|, is defined as
|A| = sqrt(A1^2 + A2^2 + ... + An^2)
Geometrically speaking, magnitude is synonymous with "length," "distance", or "
speed." In the two-dimensional case, the point represented by the vector A = (A1, A2) has a distance from the origin (0, 0) of sqrt(A1^2 + A2^2) according to the pythagorean theorem. In the three-dimension case, the point represented by the vector A = (A1, A2, A3) has a distance from the origin of sqrt(A1^2 + A2^2 + A3^2) according to the three-dimensional form of the Pythagorean theorem (A box with sides a, b, and c has a diagonal of length sqrt(a2+b2+c2) ). With vectors of dimension n greater than three, our geometric intuition fails, but the algebraic definition remains."
Einstein did in FACT, as a result of Special and General Relativities, conclude that ALL THINGS are moving at the speed of light, but that they are moving THROUGH TIME at the speed of light. He said this when he was explaining the intermingling of space-time.
This perfectly explains the differences in synched atomic clocks when they are moving at different velocities. One on the ground will show a fraction of a second faster than one in an airplane. This is because the one on the plane has increased the components of its motion vector in the x,y,z axis and since our magnitude is fixed, it must decrease the speed through the t axis (time) to maintain the conservation of energy.
Perhaps before you say someone has no idea what he's talking about... You should read up on it. I suggest you start with any high school or college mathematics text book.