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Hockney's Mathematical Universe might be something like what you are looking for, see Smith's review. Hockney, following Leibniz, interprets the phenomenal world as derivative from the primary ontology of dimensionless minds, monads. The Fourier transform plays the part of converting ideal monadology into extensional spacetime. Here is a taste:

"The whole mystery of existence is contained within Fourier mathematics because it's none other than the means by which unextended Cartesian minds (frequency domains) communicate withextended Cartesian bodies (spacetime entities)… Monads are composed of nothing but eternal, immutable sine and cosine waves of every conceivable type (via the generalized Euler Formula)…

Via inverse Fourier transforms, this monadic frequency information can be combined to create any spacetime representation. In other words, mental “ideas” can be converted into physical “bodies” via Fourier mathematics. Mind is the basis of matter, not the other way around (as scientific materialists have always claimed). The phenomenal world is simply a mathematical way of presenting noumenal frequency (mental) data. Fourier mathematics... turned the Cartesian unextended, thinking domain into an eternal monadic frequency domain (the Soul Domain), and the Cartesian extended, material domain into a spacetime domain (the World)…".

He also gives an atemporal interpretation of the Big Bang based on it:

"If there are infinite monads all occupying the same Singularity, they can all be regarded as mental bosons. However, the application of a simple antisymmetry operation converts them into mental fermions. This has the most astounding consequence: it confers unique coordinates on each of the monads and instantly creates an extended Cartesian coordinate grid.

The monads haven't actually moved anywhere – they are still inside the Singularity – but they now have unique identifiers (coordinates) and this produces the effect (illusion) of all monads now being separated from each other. To put it another way, they now have extended (fermionic) relations with each other. A Cartesian extended world has come into being."