Abstracting away to the ultimate theory

[DoYouKnow]

Hi,

I am DoYouKnow and I'm new to this forum. Theories of Everything (TOE) has arisen little interest in me, I'm more interested in the physics that underlies portions of the universe. It's like a book that I don't want to end. The journey to the end is exciting, but I think that once we're there, the end result may end up quite boring after some time. So, I think that I'm interested in what scientific revolution it will bring. Though I'm not certain that I want it to be discovered today, or before I die. I'm a high school student right now, and I hope that I can contribute something to the scientific community, so I'm interested in the philosophy of space-time and what makes us see things in discrete ways. I think there's some mystery going on between discreteness and time, from what little I've read, I think that time somehow is part of what ends up making things discrete. Time really deserves all the credit, it seems to do everything. One interesting thought that I've had is that all events would exist indendent of each other in space if time didn't progress from one moment to the next. This could probably be stated in the context of topology, differential equations, and many branches of mathematics. The simple distance equation:
D=rt
States that distance is equal to the rate at which an object is travelling, times the time that it has travelled. If time didn't exist, t would always equal 0, and the distance traversed would be zero. All objects would exist independent of one another. It's time that provides this connection, or "metric", between objects.

A metric space is a topological space satisfying three properties.
g(x,y) = g(y,x)
g(x,y) = iff x=y (this is the interesting case that we are interested in)Triangle Equality d(x,y) + d(y,z) >= d(x,z) - this is called the triangle inequality because it states that the lengths of two sides of a triangle added up is greater than or equal to the length of the remaining side)

keep in mind that this is relative time, time will always appear to an individual within it to be perfectly linear, since it's by its very nature. An individual living within a time with a certain order will have a certain order to their thoughts, and their creation, which to the being will all occur in sucession. So, relative to another universe, our time may be highly nonlinear, and other universes might appear to be purely random. It's this infinite cycle of randomness on which the creation of our universe may have been based. One possible counterexample to this is the possibility that a wormhole would've bridged our universe and another universe, causing our universe to destroy itself or cause noticeable effects, hasn't materialized.

I'll keep you up-to-date if I have any other interesting thoughts or calculations.

[AntonioLao]

your profound thoughts about the concept of time initiated my reply. For me, the concept of time is possible mainly because spacetime points (i should have said space points) are in motion at the local infinitesimal region. If space points are not moving then there is no time. But once one point starts moving, it establishes a path connecting to another point. This point will keep moving along this path forever. The sum of all infinitesimal paths for this point becomes a closed loop and this is linked to another closed loop from the motion of another point. Out of the infinite number of points, their motions will only formed two distinct topological spaces that are not equivalent. Let's call one topology as H+ and the other as H-. So the totality of space is made of an infinite number of H+'s and H-'s. Each can be used as a distinct chronon of time. So similar to electric charge, time also is made of two polarities, one is called the past and the other is called the future. If space is composed of equal number of H+'s and H-'s then this space has no past and future. All it has is the now and forever and ever. Matter is made of odd multiples of H+'s and H-'s but less of one or the other and this disparity causes it to move a particular direction of time. The antimatter moves in the other opposite direction. But energy is made of even multiples of H+'s and H-'s, but the disparity can still allow energy to move in two time directions but at different rates compared to that of matter.

[AntonioLao]

the proportionality constant of the motion of matter and of energy was already given by Einstein's [math]E=mc^2[/math]. But in addition, I'm giving a new proportionality constant between the motion of continuous space (S) and the total energy of the universe given by

[math] S=cE[/math]

In vector notations, this is equal to the inner product of a force and the time rate of change of area given

[math]S=\mathbf{F} \cdot \frac{\partial \mathbf{A}}{\partial t}[/math]