WolframQuantumComputation/DiracMatrix

WolframQuantumComputation`DiracMatrix`

RandomCurvedMetric

RandomCurvedMetric[p,q]
	returns a random real symmetric non-diagonal metric of signature (p,q) with default condition number spread ∼ 4 10 .

RandomCurvedMetric[p,q,a]
	uses a as the spread exponent — eigenvalues of the diagonal core Λ are drawn as ± r 10 with r∈[-a,a] uniform.

RandomCurvedMetric[p,q,a,s]
	additionally multiplies the diagonal core by 2 s , scaling typical metric components.

Details and Options

Examples

(6)

Basic Examples

(1)

A random non-diagonal Minkowski-like metric, signature (1, 3):

In[1]:=

SeedRandom[42];

RandomCurvedMetric

[1,3,0.5,1]//Chop//MatrixForm

Out[1]=

Confirm the signature is preserved by checking the signs of the eigenvalues:

In[2]:=

SeedRandom[42];Sign@Eigenvalues@

RandomCurvedMetric

[1,3,0.5,1]

Out[2]=

{1,-1,-1,-1}

Scope

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Applications

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Possible Issues

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Neat Examples

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