A string's energy rises with the frequency with which it vibrates, right? So would a string that vibrates with infinite frequency have infinite energy? What other properties would string theory claim about such a string and how would this string be different from a string that doesn't vibrate at all? (Because when I try to visualize a string that vibrates with infinite frequency it looks like it doesn't vibrate at all.)
Okay, yes a string with an infinite frequency would have infinite energy, but that would be impossible. It would violate the conservation of energy, not only contradict the notion of time. Frequency(ƒ) is equal to 1/time or period(t or T). Thus: ƒ = 1/t, so for ƒ to be infinite, t needs to be 0. Now not only is division by zero an impermissible mathematical operation, but at t=0 there is no time allowed for the string to be able to vibrate. IF ANYTHING, t=0 may refer to the Big Bang when time itself had not started, maybe implying that the universe started out of an infinitely energized, infinitely small point. This is all speculation in my perspective, but I believe this conjecture to hold true, until experiment and theory say otherwise. Arc
I say that we observe time to be a linear scale because we are so far out on it we can't tell the difference. If time is really a log scale then t=0 is not a real point in time. The whole concept of the Big Bang may simply be the result of assigning an impossible value to a variable.
Similarly, the vibrations which strings undergo not only correspond to, but actually create, the different masses and charges observed in the various elementary particles. In other words, an elementary particle's precise properties are caused by the vibrations of its string. since strings can vibrate in an infinite number of ways, is the number of corresponding "elementary" particles therefore infinite? Each of the infinitely many string vibrations does in fact correspond to an elementary particle. However, all but a few (the currently observed particles) will be extremely heavy - many times heavier than the Planck mass. Our particle accelerators cannot possibly create this much energy; the most powerful creates less than a millionth of a billionth of the Planck energy.
