It's interesting how much brain power and observations are going into trying to figure out if the geometry of the universe if "flat". What this really means is - do the angles of a triangle add to 180 degrees, or more, or less?
Every single test has shown that the universe is Euclidian. Flat. It's 180 degree triangles all the way down. A²+B²=C² is the law of the universe.
The funny part is that they seem to not have noticed that relativity, which has been thoroughly tested, only works in an Euclidian universe. That's right. Relativity rests upon the assumption that sin² + cos² = 1.
When you examine the space-time field, you will see that it does not stretch. It does not bend. It does not expand. It simply exists, with various energy densities. Space-time is the quantum field from which all other fields draw their energy. So, the more energy an area possesses, the less dense the space-time field. We experience the difference in density as gravitational attraction.
If you imagine the energy density on a plane, it looks like a graph of a parabola. Normally, the parabola is remarkably shallow. In the vicinity of black holes and neutron stars, the parabola is quite steep.
Now take a look at the slope of the curve at any given point. The sine of that slope is the gravitational attraction, based on c=1. Particles gain energy by moving from a higher to a lower energy level. Energy is conserved, after all.
To cosine of that slope is the perceived time of a particle at that point, where 1 is the theoretical maximum possible experience of time's passage. The universal tick, as it were.
Please note that sin²+cos²=1, where c=1. Relativity only works in an Euclidian universe where A²+B²=C². It really is just this simple.
I don't know why this bothers me so much, when I will never visit this site again. So where to begin.
ReplyDeleteGeneral Relativity was only developed at Riemann introduced his geometry. It is not Euclidian geometry.
From the Wiki
"It is a very broad and abstract generalization of the differential geometry of surfaces in R3. Development of Riemannian geometry resulted in synthesis of diverse results concerning the geometry of surfaces and the behavior of geodesics on them, with techniques that can be applied to the study of differentiable manifolds of higher dimensions. It enabled the formulation of Einstein's general theory of relativity, made profound impact on group theory and representation theory, as well as analysis, and spurred the development of algebraic and differential topology."
In the 1960s when Ehlers and Company were reconsidering General Relativity the most they could simplify it to is a differential topology.
There is not "universal tick" of time. Every frame of reference experiences time differently. Look up Einstein's time dilation equations, which are used to make everyone's GPS work. Time is only what your clocks measure, and clocks are a function of this universe.
I'll stop there. Good luck with the crazy.
You are correct. Special relativity only works in a flat space-time. Which is what I should have said, had I not been posting when I cannot sleep.
DeleteOf course, the fact that the universe appears to be flat over any appreciable distance is just a happy coincidence.
And there is a universal tick. It is required for photons to move at all, and fore everything else to work. The fact that we can't know what it is has no bearing on the issue.
Oh, and another thing.
DeleteCalling someone with a slightly different view on the meaning (not the math) of physics "crazy" doesn't win you any debate points.