Minkowski Diagram and Mathematica

In summary, the conversation is about plotting a diagram using Mathematica and using programming for this purpose. The topic of calibrating axis in a Minkowski diagram is also discussed, specifically the use of (ct)2 - x2 =1, -1 to obtain points on both reference frames. The question of whether using (ct)2 - x2 =4, -4 or measuring the distance between points (0,0) and (0,1) will give the same results is raised. The speaker also asks for a way to demonstrate this.
  • #1
Pushoam
962
52

Homework Statement

mink.png
[/B]

Homework Equations



Mathematica

The Attempt at a Solution


I want to plot the diagram using Mathematica.
I saw on the net there is some kind of programming needed for this.
Do I need to learn programming for doing this?
If yes, how to learn it?
 
Physics news on Phys.org
  • #2
For calibrating axis in Minkowski diagram, we use (ct)2 - x2 =1, -1
This gives us the points (0,1) and (1,0) on both reference frames.
Now , to get (0,2) and (2,0) on both reference frames, do we have to use (ct)2 - x2 =4, -4 or
or we can measure the distance between (0,0) and (0,1), the (0,2) will be at the same distance from (0,1) on the ct' axis (is this right?).
Do the two approaches give the same answers? How to show it?
 

Related to Minkowski Diagram and Mathematica

1. What is a Minkowski Diagram?

A Minkowski Diagram is a graphical representation of special relativity, where the x-axis represents space and the y-axis represents time. It is used to visualize the concept of time dilation and length contraction.

2. How is Mathematica used in relation to Minkowski Diagrams?

Mathematica is a powerful computational software that can be used to plot Minkowski Diagrams and perform calculations involving special relativity. It allows for easy manipulation and visualization of the diagrams, making it a useful tool for studying this concept.

3. Can Mathematica be used to calculate Lorentz transformations?

Yes, Mathematica has built-in functions for performing Lorentz transformations, which are crucial in understanding the behavior of objects in special relativity. These functions can be used to calculate the effects of time dilation and length contraction.

4. Are there any limitations to using Mathematica for Minkowski Diagrams?

One limitation of using Mathematica for Minkowski Diagrams is that it is a two-dimensional software, so it cannot accurately represent the three-dimensional nature of space and time. Additionally, it may not be suitable for more complex scenarios that involve multiple objects.

5. Is it necessary to have a background in special relativity to use Mathematica for Minkowski Diagrams?

While a basic understanding of special relativity can be helpful, it is not necessary to have a deep understanding of the concept to use Mathematica for Minkowski Diagrams. The software has user-friendly functions and a helpful documentation that allows users to easily plot and manipulate the diagrams without prior knowledge of special relativity.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
908
  • Precalculus Mathematics Homework Help
Replies
6
Views
732
  • MATLAB, Maple, Mathematica, LaTeX
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • MATLAB, Maple, Mathematica, LaTeX
Replies
4
Views
1K
  • STEM Academic Advising
Replies
10
Views
1K
Replies
3
Views
1K
  • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
1K
  • Special and General Relativity
Replies
14
Views
2K
  • Introductory Physics Homework Help
Replies
14
Views
2K
Back
Top