Possible Theory? Lorentz Transformation - Physics.

[ChristiK]

Hi guys.

There is absolutely no way my feeble brain could reason out any of this to make a plausible theory, but I thought maybe someone who has more experience with physics may be able to do it.

Here goes.

In the recent issue of LOST Magazine, someone asked Damon what four things we should pay attention to for the rest of the season. Daniel's journal was one of the four things that was mentioned, so I went back through some of the caps of Daniel's journal and found some stuff that may be of use.

Cap #1
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Daniel has written some equations at the top, then "Lorentz Invariant", then more equations and at the bottom, he has "Relativistic mass of the particle as measured".

Link to info about the Lorentz Transformation on Wiki: http://en.wikipedia.org/wiki/Lorentz_transformation

I only skimmed the Wiki stuff (it's way, way over my head), but a few things stood out for me.

1) The mention of Minkowski space.

It is named after the German mathematician Hermann Minkowski. One of the blurbs on last Thursday's enhanced episode of "Confirmed Dead" mentioned that Minkowski from the freighter shares his name with German mathematician Hermann Minkowski.

2) The mention of vectors.

This is from "The Constant" transcript.

KEAMY: When did he start doing this?
FRANK: He was fine when we took off. When we hit some weather...Hey, Faraday told me as long as I stayed on the vector --
[KEAMY motions for him to stay quiet. He and OMAR step toward DESMOND, but are blocked by SAYID.]

Interesting, no?

3) This is just a blurb I found on the Wiki page that I found interesting.

"It is the great merit of H. A. Lorentz to have seen that the fundamental equations of electromagnetism admit a group of transformations which enables them to have the same form when one passes from one frame of reference to another; this new transformation has the most profound implications for the transformations of space and time".

There are multiple mentions of imaginary space & time, as well as real space & time, in his journal too.

http://bp1.blogger.com/_RrObyQ3XzcY/R8fBAX0LKuI/AAAAAAAAUp0/kFkTvpmPNtk/s1600-h/Clearest.jpg

http://bp0.blogger.com/_pG1kU-zfuxM/R8eExAnj8yI/AAAAAAAAAJk/HoZvhOKj6lk/s1600-h/screen-capture-14.jpg

That's all I have for now. I'm going back to read through the Wiki page to see if I can figure anything out. There's a really nice animation of "Views of spacetime along the world line of a rapidly accelerating observer moving in a 1-dimensional (straight line) "universe"" on the page too.

[ChristiK]

Time dilation is also mentioned. Here's some info on it.

Time dilation is the phenomenon whereby an observer finds that another's clock which is physically identical to their own is ticking at a slower rate as measured by their own clock. This is often taken to mean that time has "slowed down" for the other clock, but that is only true in the context of the observer's frame of reference. Locally (i.e., from the perspective of any observer within the same frame of reference, without reference to another frame of reference), time always passes at the same rate. The time dilation phenomenon applies to any process that manifests change over time.

Time dilation and space flight
Time dilation would make it possible for passengers in a fast-moving vehicle to travel further into the future while aging very little, in that their great speed retards the rate of passage of on-board time. That is, the ship's clock (and according to relativity, any human traveling with it) shows less elapsed time than the clocks of observers on Earth. For sufficiently high speeds the effect is dramatic. For example, one year of travel might correspond to ten years at home. Indeed, a constant 1 g acceleration would permit humans to travel as far as light has been able to travel since the big bang (some 13.7 billion light years) in one human lifetime. The space travelers could return to Earth billions of years in the future (provided the universe had not collapsed and our solar system were still around, of course). A scenario based on this idea was presented in the novel Planet of the Apes by Pierre Boulle.

http://en.wikipedia.org/wiki/Time_dilation