If it is possible for a computer in the first dimension to perform a second dimensional operation in the same way a computer in the second dimension can perform a third dimensional operation, then maybe a third dimensional computer could perform a fourth dimensional operation.
We already have 2d computers, so what i am wondering is how would a 1d computer work out multiplication. I've theorized that the physics of this 1d world that it is built in would have 8 characteristics to work with:
- length is mass
- there can be charged particles(lines) that attract/repel each other
- there can be gravity of attraction or repulsion between masses(your choice)
- there can be lines splitting or combining, but the rules for both must be given.
- there may be limits set on the world (example: a speed limit like the speed of light. or an edge where things )
- there can be "optimal lengths" where a line is more/less stable(optional)
- we are only allowed to put "input lines" (which will be multiplied) into either 1 area or two
- the outputs may be anywhere, but you must be able to read them all.
what determines a successful "computer" would be if it is capable of multiplying any single digit number from 0-9 with another from 0-9.
edit: if it makes it easier to think of, the whole system can be reset each time you want to use it with new inputs(i realize it would be nearly impossible to reset itself).