I have mentioned on numerous occasions God is unfalsifiable in science, neither Christians nor atheists can use science to prove or disprove God’s existence.
Here we have a variation on the theme mathematics is in spotlight not science, and the answer is still the same.
An interesting topic which has been raised in this thread is whether mathematics is invented or discovered and has been debated by Christians and atheists for centuries.
The answer can be yes to both.
There is nothing special about the Mandelbrot set, it is clearly a human invention the outline of which was described in this
thread.
I wrote up code to produce my own pretty pictures and more importantly have used it to test the relative performance of different processors.
An example where the mathematics was both invented and discovered comes from quantum mechanics.
In the late 19th century scientists
invented the empirical relationship describing the energy level spacings versus wavelength λ in the hydrogen spectrum known as the Rydberg formula.
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Rₕ is Rydberg’s constant for the hydrogen atom, n₁ and n₂ are known as the principal quantum numbers where n₂ > n₁.
Scientists had very little idea at the time of how the empirical relationship worked or why Rₕ had a value of 1.097×10⁷ m⁻¹.
In the 19th century the French mathematician Edmond Laguerre found a general method of solving differential equations one particular example being the equation.
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The solutions to this equation were named
associated Laguerre polynomials.
When quantum mechanics was formulated in the 1920s, Schrödinger’s wave equation for the hydrogen atom was found to be.
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On solving this equation, it was
discovered associated Laguerre polynomials formed part of the solution from which Rydberg’s formula could be derived instead of being empirically determined and also explained the value of the constant Rₕ.