Not that anything I say here carries very much weight and that is ok but yes when you travel to the past you are indeed in another time-line. Reason is because just looking at the future or knowing the future changes the time-line.
Either that is just your speculation (what I suspect), or you have some way to scientifically discern any one "time-line" from any other "time-line" and resolve such an explanation with the continuum of matter. So which is it?
What people dont know that in time there is a coordinate system.
Do explain, if you will.
In space there is a coordinate system.
No. We
select one of any number of coordinate systems. They are not inherent to space itself. In fact, a major premise of Relativity is that
there is no, single, preferred coordinate system...they are all equal. All that matters is once you select a coordinate system you like (spherical for some? Hyperbolic for others?), that you remain consistent in analyzing physical interactions with respect to that selected coordinate system. That means if you have multiple, moving reference frames, you must perform coordinate transformations to resolve all into a single, common frame before you do your physics, otherwise you will certainly come to incorrect conclusions.
A time-line is just a collection of events within a measured amount of time within a specific space-time coordinate system.
As Darby so often points out: There is a tautology in that statement.
Changing those events within that same coordinate system to a different set of events within the same system is creating a new and different time-line altogether.
Again, coordinate systems do not matter. They are "invariant" with respect to the laws of physics. But ignoring that, you are saying changing events changes timelines. How did you ever verify this? An example will show what I mean:
1) A baseball is coming at your head. You have a choice to make:
2) Do nothing and it smashes into your noggin.
3) Move your head, or use your hand to block.
4) Once you make your choice, the events are "cast into that timeline."
According to your theory, once you make the choice, you have created another timeline, right? But how can you ever know, because that moment is gone? How can you verify there is "some other timeline" where you choose the opposite? And how does that resolve with the choice you DID make, here in your "timeline" given that there was only one set of masses (you and the baseball) before your choice? In other words, for your theory to be true, we would somehow have to magically have two baseballs and two you's "spring from" these two potential events. Violation of conservation of mass.
Well?
RMT