Space Continuum And Sharp Singular Adams Inequality On Lorentz Sobolev Space

The first part of this paper: Showed a singular Adams inequality in Sobolev space for a bounded domain,since Adams inequality is the adjustment of Trudinger-Moser inequality.Adams inequality was made opened generally in all Lorentz space for bounded domains mainly,and this made us to evaluate open domain with finite measures in some Euclidean spaces.The method used was the re-arrangement of Alberico.A and some lemma.The second part of this paper: General Partial differential equations(PDE)and calculus of variation,we mainly focused on Runga Kunta method on differential equation and how it simplifies the use of ODEs to solve complex problems.One of the standard forms for solving ordinary differential equations is the called the Runge-Kutta method.This method is simply a higher order approximation to the midpoint method,and Instead of shooting to the midpoint,estimating the derivative,the shooting across the entire interval the Runge-Kutta method,and this approach was well defined on the paper,substituent we then used Euler's method to get further reading analysis.The third part of this paper: Focused on the Universe,traveling through time as a path through which we travel from one timeline to another timeline by different means,some ways are the use wormholes,black holes,tunnels,twin paradox,time travelling machines and so on.So far,the twin paradox is the most consistent method to have pass such test and due to it is the mostly observed.Traveling to an arbitrary point in space-time has a very limited support in mathematics & theoretical physics,and usually only connected with quantum mechanics or wormholes.Our aim is to refine the twin paradox space travelling as well as giving a more detailed and specific approach on how time travelling can be made possible through space & time continuum.