- #1

lukephysics

- 60

- 15

- TL;DR Summary
- If you split space and time what would the equivalent functions look like?

I understand people collapse multi dimensional functions to make simpler visualisations, eg if you have a 500 dimension objective function in machine learning you can collapse it to 2D or 3D to get a visual idea of the objective-space.is this why Einstein did it as well? to make simpler visualisations or maths?

What would these same functions look like if you kept XYZ and time as separate dimensions, and just worked with the same concepts?

Also, I assume you could expand space time to N dimensions if you wanted, just by operating space-time on a hyperplane on that geometry. It wouldnt do anything, but just trying to point out that dimensions can be arbitrary, and understand why he combined space and time to spacetime.

I had one more q, would string theory be an example of expanding spacetime to say 11 dimensions arbitrarily in an effort to resolve singularities or divergences to whatever accuracy, on the spacetime hyperplane? and is this a form of over-fitting? you can explain anything if you add more dimensions.

What would these same functions look like if you kept XYZ and time as separate dimensions, and just worked with the same concepts?

Also, I assume you could expand space time to N dimensions if you wanted, just by operating space-time on a hyperplane on that geometry. It wouldnt do anything, but just trying to point out that dimensions can be arbitrary, and understand why he combined space and time to spacetime.

I had one more q, would string theory be an example of expanding spacetime to say 11 dimensions arbitrarily in an effort to resolve singularities or divergences to whatever accuracy, on the spacetime hyperplane? and is this a form of over-fitting? you can explain anything if you add more dimensions.