Graduate How Does the Infinite Momentum Frame Relate to Differential Forms in Mechanics?

[Ddddx]

Let x⁺ and x^- be the light cone coordinates x + t and x - t. The coordinate x^- = log x⁺. The equations dx^- = dx^-/x⁺ and x⁺ = x⁺ dx^- are like ds = dQ/T and dE = p dV.

d_- = d_- dx⁺

D_- = d_- + d_- dx⁺

In mechanics we have L = T - V, where L = L dt. This is a complex differential form just like x⁺ = x⁺ dx^- and d_- = d_- dx⁺.

Has anyone seen D_- = d_- + d_- dx⁺?

 

[haushofer]

Maybe you should give a bit more context or references to get some replies here. I personally don't really have a clue what you're asking precisely. Why e.g.
your relation between x+ and x- ?

 

[Ddddx]

I will post more later. for now, there are two extra equations of the same type as L = L dt

x = x dE

D = i dt

 

[haushofer]

Again, I have no clue what you're referring to. If you want people to respond, you should be clear about what you're asking.

 

[Drakkith]

Again, I have no clue what you're referring to. If you want people to respond, you should be clear about what you're asking.

Seconded. Ddddx, please post provide some context to the question, general equations, and your thinking behind this. In short, explain what you're talking about in more detail please.

 

[Dale]

This thread is closed. The OP needs to not only explain, but also provide a reference. This seems like personal speculation.