4th dimension?

hafiz ns

1. Homework Statement
is there a 4th dimension. if yes can anyone explain it ?

2. Homework Equations

3. The Attempt at a Solution
4th dimension includes time also am i right ? which is X,Y,Z + time

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HallsofIvy

Homework Helper
Do you understand what a "dimension" is? A "dimension", in a given problem, is just a number you use to specify all the conditions of the problem. If I were doing a geometry problem connected with spheres of different radii with centers at different points in space, to identify a specific such sphere, I would have to give the three coordinates of its center and its radius- four numbers so this is a "four dimensional" problem. If I were doing a problem involving points in the plane, I might set up an xy coordinate system and label each point by its x and y coordinates- two dimensions because two numbers. If I were doing a problem involving points in "R3" I would set up a coordinate system with x, y, and z axes and every point would be labeled by (x, y, z)- three numbers so three dimensions.

In physics, we are concerned with "events"- things that happen at a particular point in space at a particular time. We require three numbers (coordinates) to identify the point and one number to identify the time. In that sense we are working with four dimensions. Of course, which is the "first", "second", "third", or "fourth" dimension is purely conventional.

• hafiz ns

hafiz ns

thanks hallsofivy ...

The Physics Cat

Also, you could plot a four dimensional point using a constantly changing graph, say, point A's coordinates are 1 by 2 by 3 by 4, which could mean the x is one, the y is 2, and the z is 3 after 4 seconds have passed. Graphing functions like this also works.

"4th dimension?"

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