Wolfram Function Repository

Instant-use add-on functions for the Wolfram Language

Function Repository Resource:

 WolframModelLorentzFactor

Source Notebook

Calculate the Lorentz factor of a Lorentz-transformed Wolfram Model causal graph

Contributed by: Tom Lee, Jon Lederman

ResourceFunction["WolframModelLorentzFactor"][data,beta]

returns the ratio of step sizes of a beta-transformed causal graph and the initial graph given by data.

Details

data is a causal data coordinate data set. It consists of triples of the form {index,time,space}, where the second and third coordinates denote initial values in Minkowski 1+1 dimensional space-time. This can be generated using ResourceFunction["SimpleCausalGraphCoordinates"].
The graph is Lorentz transformed using beta as the ratio of velocity to the light speed, that is, v/c.

Examples

Basic Examples (2) 

Construct a simple triangular shape causal graph with initial node size 10:

In[1]:=
data = ResourceFunction["SimpleCausalGraphCoordinates"][10, "Triangular"]
Out[1]=

Calculate the Lorentz factor at v/c=0.3:

In[2]:=
ResourceFunction["WolframModelLorentzFactor"][data, 0.3]
Out[2]=

Scope (1) 

Calculate the Lorentz factor for a causal graph on a hexagonal grid, at v/c=0.8:

In[3]:=
data = ResourceFunction["SimpleCausalGraphCoordinates"][10, "Hexagonal"]; ResourceFunction["WolframModelLorentzFactor"][data, 0.8]
Out[4]=

Publisher

Tom Lee

Version History

  • 1.0.0 – 17 June 2022

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License Information