Non linear time is the non-dimensional formulation of multi dimensional time of Gavin Wince. Hence, what we are looking to do is take these equations and write them for a non-dimensional concept.
After all, multi-dimensional time requires multiple dimensions. While Gavin Wince has some ground breaking mathematics, the problem that he has is that while he's answering a lot of problems with mathematics, the bottom line is that his mathematics remains grounded in dimensional analysis which isn't really an answer for Non-linear time theory where there is no dimension.
While a great deal of time has been spent looking at problems with traditional theories and re-writing them for non-linear time; backing into the same solutions that you see with Gavin Wince's work so the next step is to take his work and figure out what it looks like without dimension.
https://www.youtube.com/watch?v=oy47OQxUBvw&list=WLxK8BwhzafIi1Jd0yE8mQXQ&index=5
Gavin Wince's film shows how Time dimensions can be used to explain the same phenomena as Non-linear time which makes these two theories somewhat equivalent, although not identical.
TDT (three dimensional time) of Wince is largely the equivalent of Multiple time coordinates and in fact, like all other physics, the differences are largely a matter of perspective . NLT denies the existence of space except as a function of time, TDT says there are three dimensions of both. This is essentially a statement of the same thing, from different perspectives.
I have spent quite a lot of time attempting to reconcile NLT with string theory (mainly showing string theory doesn't work as well) and trying to force it into the math of String and M theory and postulating how NLT can explain things like expansion (in a universe without real dimension), dark matter and dark energy.
Most of the concepts, however, dovetail much better with Multi-dimensional time theory since they are largely equivalent (time with multiple coordinates which come into play in stages are pretty much multi-dimensional time if you look at it that way).
There is so much rich material there, however, that it might even stave off publication of the second edition. However, Multi dimensional time doesn't recognize that dimension is merely a function of time, although it does define mass the same way as NLT (in terms of solving for time) and makes excellent arguments for many of the proportional relationships.
Perhaps the biggest difference between the two is the heavy relationship of NLT on the ability of time to be non linear and therefore without dimension, but the ideas of a steady state universe without expansion takes a lot of pressure on NLT if that were in fact the case (although it basically means they chapters on expansion have to be re-written as a) expansion and b) non-expansion. In point of fact, multi-dimensional time allows for black holes to function as places where time goes non-linear and nothing else which is something of a relief, and allowing for multiple dimensions vs multiple coordinate times to work opens some intringuing possibilities. NLT looks at the forces we experience as the opposite of or "anti-matter state" of matter, energy, space, etc. The explanation of what gives rise to these forces, is not so well defined. Enter multi-dimensional time which has matter and anti-matter co-existing, but anti-matter with a "negative time" and matter with a "positvie time" The existence of something in the same place as matter but with negative time is an excellent springboard for figuring where these forces come from. For example, the tendency of the two times to come together (negative and positive) would easily explain something like gravity and with a little imagination even things electromagnetic forces. Hence the two theories come together to make something greater than either one alone.
But more on this as time allows.
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