Theoretical framework uncovers a discrete field foundation for reality and consciousness, suggesting mathematical infinity and continuous physics are conceptual errors.
This preprint proposes an ontological, mathematical, and physical refoundation based on the genesis of numbers. It shows that infinity is not a reality but a word invented to name what man could not count. Reflective consciousness, by separating the self from the whole, produced one, two, then three as many. Faced with the uncountable, it posited infinity instead of seeking the real bound. This error led to the continuous, infinite real numbers, physical singularities, and invisible hypotheses such as dark matter and dark energy. The real is discrete, finite, and relational. It is structured by the K field, a network of sites separated by a minimal step h zero. Matter, energy, gravity, time, and consciousness are local configurations of this field. The discrete refoundation replaces continuous operations with integers, finite fractions, and conserved remainders. Seven reproducible replacements for imaginary numbers have already been validated. The universe does not run toward infinite expansion but toward an ultimate harmony, a finite plenitude where all constraint is redistributed. True infinity is not an endless sequence; it is the full resonance of the original zero recovered with reflective consciousness.
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Michel Febba (2026) studied this question.
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