>Thank you 4Newton: When you speak of a hypersphere, and that the BB began the expansion in all directions at an equal rate, how do you know that content matter is contained in this hypersphere, rather than continuing its expansion in all directions within a space that has no "curves?"<
If the spatial dimension extended from where we are today back to the BB it would not be a BB it would be the Big Fountain. The transition outward from the BB would then be part of the spatial dimension and you would see a preferential direction in the spatial dimension indicated by a larger red shift in one direction and a smaller red shift or blue shift in the opposite direction. The transition out from the BB must not produce any effects predicted by Special Relativity SR, for example an increase in mass. There are many other things that would also be different.
In short you would observe different effects.
>What is it about the "Red Shift" that leads to a theory of a hypersphere construct to the visible universe, rather than just a limitless, endless, ever growing [ever "stretching"] sphere of containment of matter?<
As stated above you would see a preferential direction.
We recognize the universe as a three dimensional construct and we are able to see red shift in all direction and all angles. This requires the universe to be a hypersphere. A hypersphere is a sphere with a hypersurface and a hypersurface is a construct of one fewer dimensions then all the dimensions under consideration. In this case we are only considering a four dimensional universe, XYZT. The hypersurface is XYZ. The dimension outward from the BB is the T dimension. Just as all dimensions in the XYZ are perpendicular to each other the T dimension is perpendicular to all the XYZ dimensions. You use this fact every day when you drive your car and check your speed. Speed, motion, or velocity is stated as distance with respect to time and if you plot this you always have time perpendicular to distance.
>BTW, do you happen to know the size of the universe, and how old it is [I should ask what is the latest estimate on the answer to these questions from the scientific community?]. <
Most of the scientific community is blind to this concept they started out this way but did not recognize the expansion outward from the BB as a transition in the time dimension. The lack of understanding time is the result of not understanding dimensions. They have a need to make everything more complicated. They are trying to curve space with mass and somehow arrive at the result that the universe is flat. As you can see this concept is simple and violates no experience or observation. This concept does not care if the universe is open, flat, or closed; it does not affect the concept.
I have not made the calculations. Feel free to become part of this idea and do the calculations. The math is simple as stated before. You may end up with a Nobel Prize.
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