Solving the Time Travel Paradox

Time travel has always been my favorite SciFi topic. But it has inherently one main issue, the PARADOX.
A simple version of a paradox (to explain it to those of you who for some strange reason are still reading and yet do not know what a time paradox is) would be, say you travel back in time, and while you were driving around in the car you stole (shame on you), you have an accident and kill a kid, who turns out to be you!!!
Now, the problem is, if you just killed your self when you were a kid, that means you never grew up, thus never actually traveled back in time, therefore you did not kill your self, that means you actually do grow up AND do travel back in time to kill your kid self, leading to the point that you did not grow up, ...... you get the drift.

So now, if we are to assume that time travel is a possibility (or at least if we want to build a mathematical module for it) we must resolve this paradox issue.
And I assume I have (although I am pretty sure I created a few other issues in the process) solved this issue by changing a few things we are currently assuming about time.
these changes and some of their implications are as follows:

• Time is 3 Dimensional: this means that time is not just one access with forward and back as our only options. I propose calling them tX, tY & tZ.
• Time is expanding: starting from the Big Bang, time is expanding outwards in every direction just like the physical 3D space is. Forming a sphere that has its tX,tY & tZ center is 0,0,0 AND its radius is the amount of time since time began.
• Movement in time (just like movement in Space) is vectorial.
• Awareness is a single point in time and is the only thing that moves in 3D time, physical objects do not move in time.
• Awareness is only active when our awareness occupy the same 3D time as our physical object.
• There is a natural force (T) in 3D time, just like gravity the physical space, that is constant and is pushing outwards from the center.
• There is a second natural force (P) that is on a plane that is always vertical on T. The exact direction of P on that plane is determined by our actions
• The faster a physical object's speed is, the more it is effected by T and more resistant to P.
• The more an object conscious of the physical world, the less it is effected by T and more effected by P.
• Unconscious objects are equally effected by both forces.
• Unlike normal space, an infinite number of objects can occupy the same 3D time location.
• Every object has a shape and location in 3D time. And a single physical object can have multiple objects in 3D space.
• Objects in 3D time are fixed. In other words, you can not move any objects location in 3D time, you can not change its movement in 3D time, you can not change its shape in 3D time.
• What moves in 3D time is our perception/awareness.
• By interacting with any object in 3D time, you apply a force to you awareness' vector in 3D time, causing it to change direction in 3D time.
• Time travel would be defined as moving your awareness from the edge of  one of your 3D time objects to the edge of another.
• Actual time (AT) is the distance from the tX,tY,tZ point and the center 0,0,0 (radius)
• Time passed (TP) is the difference between between the actual time of two points.
• Our perception (OP) of time is measured as the distance our awareness travel in 3D time.
• Measured time (MT), is the distance an unconscious object travels to move from one Actual time to another.

This might all sound very complected, but let me try to explain it with a few examples:

1. Normal life: in our day to day life, Our perception of time is the same as the measured time, the reason for that is that we just flow with things with a very low frequency of interactions with the physical world.
2. Deep thinking: we always find that when we are in a deep thinking mode, we find that time fly's very fast, the reason being our disconnect with the physical we are less effected by P. This results in a shorter distance to travel between two AT spheres than the measured time between the same two sphere.
3. Boredom: as you are highly attached to the real world and are noticing every aspect of it, we are effected strongly by P. this forces us to travel sideways, meaning we need to travel a much longer distance to get from one AT sphere to the next.
4. Speed of Light: when an object travels @ the speed of light it would theoretically not be effected by P. In reality, P's effect can never be zero. Meaning you can never travel on the exact direction of the T vector. This allows for increased speeds to try and come closer to T. The line that falls on the T vector is the shortest distance between any two AT spheres. (if you want the mathematical explanation of how this fits with the relativity equation just comment here)

This is the time relativity equation
If we move it around we get

This looks like a trigonometric function.
And that means we have at least two dimensions here in time.
What you also would see is that the triangle turns into a line as v approaches c.
This basically means that at that speed we only see the intersecting line as a dot from our single time dimension point of view.