ocalhoun

Okay, suppose that our familiar 3D universe is the surface of a hypersphere in the 4th dimension.

Now, suppose our 4D hypersphere is a cross-section of a 5D hyper-hyper sphere. (hold on, this actually is going somewhere.)

The cross section is defined by the intersection of a plane with the 5D hyper-hyper sphere.

The plane moves in relation to the hyper-hyper sphere at a constant rate.

To a 4D observer, this would appear as a hypersphere that expands and contracts, depending on where the plane intersects at any given time, and what direction it is moving.

To a 3D observer on the 3D 'surface' of the hypersphere, it appears that our entire 3D space is expanding or contracting, depending on the motion and position of that 5th D plane.

So, at the time of the 'big bang', the plane was at the very edge of the hyper-hypersphere, so it intersected only in one point, therefore our entire universe was one single point. As the intersecting plane moved towards the center of the sphere, our universe expanded.

Actually, given that the rate of expansion seems to be increasing, the 5th dimensional shape that is intersected by the plane may not be spherical. Perhaps it is more like a cone with edges curved outwards. The actual shape of this hyper-hyper object would determine the future of our universe.

Not a correct theory perhaps, and maybe not fully formed yet, but it is very interesting, no?

Now, suppose our 4D hypersphere is a cross-section of a 5D hyper-hyper sphere. (hold on, this actually is going somewhere.)

The cross section is defined by the intersection of a plane with the 5D hyper-hyper sphere.

The plane moves in relation to the hyper-hyper sphere at a constant rate.

To a 4D observer, this would appear as a hypersphere that expands and contracts, depending on where the plane intersects at any given time, and what direction it is moving.

To a 3D observer on the 3D 'surface' of the hypersphere, it appears that our entire 3D space is expanding or contracting, depending on the motion and position of that 5th D plane.

So, at the time of the 'big bang', the plane was at the very edge of the hyper-hypersphere, so it intersected only in one point, therefore our entire universe was one single point. As the intersecting plane moved towards the center of the sphere, our universe expanded.

Actually, given that the rate of expansion seems to be increasing, the 5th dimensional shape that is intersected by the plane may not be spherical. Perhaps it is more like a cone with edges curved outwards. The actual shape of this hyper-hyper object would determine the future of our universe.

Not a correct theory perhaps, and maybe not fully formed yet, but it is very interesting, no?