Sing o\' Lara D
Hello Friends, Enemies, & Strangers.
I have learned about time travel, and I would like to share something about it. It seems there is much confusion regarding time travelers' terminology, and I wish to set things straight.
Because this is an open medium, I can reveal only one secret of time travel, and not the one that makes it possible. I will, however, severely abstract this explanation, so the details are not technically correct in every respect. I apologize for this.
Define r as a vector representing position.
Define dr/dt as velocity (vector).
Define complex quantity z = r + i dr/dt
Define set y as the quantity z for every particle in the universe.
The evolution of motion of the universe can then be described by a simple autonomous differential equation:
dy/dt = f(y) = (y-a)(y-b)(y-c)...
Where there may be any number of quantities multiplied. The idea is that the change in the state of the universe (positions and velocities of particles) is entirely dependent on the previous moment.
From this, we see that there are certain stable, unstable, and semi-stable equilibrium solutions. It is the nearest stable equilibrium toward which the universe tends to change.
This all assumes no time travel.
Suppose you're a time traveler and you plop right down in the middle of 1999 without any warning at all. Suddenly, the graph of f(y) becomes discontinuous and non-differentiable at the instant you appear. This can only properly be explained by putting a zero in the denominator:
dy/dt = f(y) = (y-a)(y-b)(y-c)/(y-s)
Thus there will be a mathematical singularity at y = s. This is where new matter appears in the form of a flustered time traveler seeking to keep their wits about them. Therefore, if a time traveler refers to themselves as a singularity, they are not so despairing as to label themselves a black hole. It is a mathematical concept related to time travel.
Now you know. /ttiforum/images/graemlins/smile.gif
Hello Friends, Enemies, & Strangers.
I have learned about time travel, and I would like to share something about it. It seems there is much confusion regarding time travelers' terminology, and I wish to set things straight.
Because this is an open medium, I can reveal only one secret of time travel, and not the one that makes it possible. I will, however, severely abstract this explanation, so the details are not technically correct in every respect. I apologize for this.
Define r as a vector representing position.
Define dr/dt as velocity (vector).
Define complex quantity z = r + i dr/dt
Define set y as the quantity z for every particle in the universe.
The evolution of motion of the universe can then be described by a simple autonomous differential equation:
dy/dt = f(y) = (y-a)(y-b)(y-c)...
Where there may be any number of quantities multiplied. The idea is that the change in the state of the universe (positions and velocities of particles) is entirely dependent on the previous moment.
From this, we see that there are certain stable, unstable, and semi-stable equilibrium solutions. It is the nearest stable equilibrium toward which the universe tends to change.
This all assumes no time travel.
Suppose you're a time traveler and you plop right down in the middle of 1999 without any warning at all. Suddenly, the graph of f(y) becomes discontinuous and non-differentiable at the instant you appear. This can only properly be explained by putting a zero in the denominator:
dy/dt = f(y) = (y-a)(y-b)(y-c)/(y-s)
Thus there will be a mathematical singularity at y = s. This is where new matter appears in the form of a flustered time traveler seeking to keep their wits about them. Therefore, if a time traveler refers to themselves as a singularity, they are not so despairing as to label themselves a black hole. It is a mathematical concept related to time travel.
Now you know. /ttiforum/images/graemlins/smile.gif