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Extends fractal calculus to model spacetime regimes and evolution laws using fractal eigenbases.
This paper extends IFO Fractal Calculus by linking its operator structure to fractal spacetime regimes and fractal eigenbasis theory. Dimension-dependent Hausdorff measures are incorporated into IFO dynamics, yielding spectral and evolution laws tied to cosmological and singularity regimes. Big Bang and black hole states are modeled as distinct fractal-dimension phases governed by hyperbolic compression operators. A fractal eigenbasis representation theorem is established, providing a scale-adaptive decomposition of fields.
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SİNAN İBAGÜNER (2026) studied this question.
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