computable-analysis

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Ruqing1963 / reverse-math-physics

How much infinity does physics need? Fekete lemma, c-function IR limits, Cantor scaling exponents and limit-set connectivity are each equivalent to ACA0 over RCA0; computable moduli vs uncomputable limits and the empirical boundary (Paper 10)

python ising-model infinity fractals mathematical-logic second-order-arithmetic conformal-field-theory computability-theory reverse-mathematics foundations-of-physics thermodynamic-limit chaitin-omega computable-analysis

Updated Oct 7, 2026
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Ruqing1963 / chaitin-fractal-complexity

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Code, data, figures and manuscript for "Uncomputable Fractal Dimensions, Kolmogorov Complexity Cascades, and the Chaitin Barrier in Physical Systems" (R. Chen, 2026).

python lambda-calculus data-compression theoretical-physics fractals kolmogorov-complexity algorithmic-information-theory fractal-dimension mathematical-physics computability undecidability hausdorff-dimension chaitin-omega computable-analysis

Updated Oct 7, 2026
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Ruqing1963 / fractal-connectivity-undecidability

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Undecidable connectivity of computable fractal limit sets: Pi01-completeness, an Omega-comb encoding Chaitin's Omega, no computable critical scale, and provability thresholds set by K(F) (Paper 6)

python lambda-calculus turing-machine kolmogorov-complexity algorithmic-information-theory fractal-geometry computability-theory halting-problem busy-beaver incompleteness undecidability chaitin-omega computable-analysis

Updated Oct 7, 2026
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