search for topological equivalence

[AntonioLao]

As a scientific tool, math can be used for searching the existence of topological equivalence in all processes of change whether continuous or discrete, gradual or abrupt.

It is widely believed among mathematicians that despite the complexity appearing in the macroworld, many objects in the microworld share common identifiable property of topological equivalence. This property exists for all ball shaped objects (spheres) but a donut (torus) is not topologically equivalent to a sphere.

In physics, this search is to look for topological equivalence between space and time. Einstein started it. But the search is not yet conclusive at the quantum level. It is possible that what is found finally is a fundamental property of non-equivalence instead of equivalence.

Is space or time topologically equivalent to a sphere or to a torus? What is the true meaning of Topological Objective Equivalence (TOE)?

[Guille]

I belief that space-time is topologically equavalent to the sum of all the spheres and torus.

What do you think about this?

[AntonioLao]

I belief that space-time is topologically equavalent to the sum of all the spheres and torus.

This can only be demonstrated in one dimension.

[Guille]

This can only be demonstrated in one dimension.

Why? Anyway, how can you demostrate that space-time to be something only in one dimension, if, minimum, to be space-time, there must be 2 dimensions (one for space and one for time)?

[AntonioLao]

At one dimension, space and time are equivalent. What remains is the constantly changing time axis.