Minkowski Diagram and Mathematica

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SUMMARY

The discussion focuses on plotting Minkowski diagrams using Mathematica, specifically addressing the programming requirements for effective visualization. Users need to understand the equation (ct)² - x² = 1, -1 to plot key points on the diagram. The conversation also explores methods for determining additional points, such as (0,2) and (2,0), and whether these can be derived from existing points or require recalibration of the equation. The need for programming knowledge in Mathematica is emphasized for accurate diagram creation.

PREREQUISITES
  • Understanding of Minkowski diagrams and spacetime concepts
  • Familiarity with Mathematica software
  • Knowledge of basic programming principles
  • Ability to interpret mathematical equations related to spacetime
NEXT STEPS
  • Learn Mathematica programming for plotting complex diagrams
  • Study the implications of the equation (ct)² - x² = k² for various values of k
  • Explore advanced features of Mathematica for graphical representation
  • Research the geometric interpretation of Minkowski spacetime
USEFUL FOR

Students and educators in physics, mathematicians interested in spacetime diagrams, and anyone looking to enhance their skills in Mathematica for scientific visualization.

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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
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?
 

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