4-D Coordinate Plane

tomas

Is their a 4-D coordinate plane?

maximus

yes there is. they are (x,y,z,t) t=time.

suppose you are measuring a point on in a room. it can be x from one wall, y from another, and z from the floor. but what if one were to measure an event that took place at a point in this room? to do so you must introduce t.

HallsofIvy

Homework Helper
Since you are talking "coordinate systems" which are mathematical constructs, of course there are. If, for example, one were working on a problem involving all spheres, which can be identified by their center and radius, it would make sense to use a 4-dimensional space: 3 coordinates for the center and the fourth for radius.

It's not uncommon for physicists working in statistical mechanics to use an "n-dimensional" space where n is some huge number: 3 times the number of particles involved.

And, of course, "functional analysis"- used in theory of differential equations- regularly works with infinite dimensional spaces.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving