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[WSS22] Computational implications of the third law of Thermodynamics

Posted 4 months ago
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POSTED BY: Moderation Team

Great work!

POSTED BY: Simon Fischer
ruleTransformation = {{0, 1, 0, 0, 0, 1}, {1, 0, 1, 0, 0, 0}, {0, 1, 
   0, 1, 0, 0}, {0, 0, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1}, {1, 0, 0, 0, 
   1, 0}}
lenngth = Dimensions[ruleTransformation][[1]];
Eigenvalues[ruleTransformation]
edge = {};
Do[Do[If[ruleTransformation[[i, j]] == 1,
      AppendTo[edge, i -> j]],
    {j, 1, lenngth}] ,
  {i, 1, lenngth }]
Graph[edge,
  VertexLabels -> "Name",
  ImagePadding -> 100,
  ImageSize -> 500]
    TableForm[
 Table[{n, Tr[MatrixPower[ruleTransformation, n]]}, {n, 10}],
  TableHeadings -> {None, {"n", "Matrix Power"}}]

Therefore the evolution of the matrix..

Matrix Map

What about people like me who don't even know any binary? That must be why the Third Law requires an infinite amount of steps in its definition.

Cyclic Matrix

Eigenvalues

Reading your article is like reading the textbook; the cellular automata evolution is like that. Do you want to choose a perturbation?

POSTED BY: Dean Gladish
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