Theoretical framework demonstrates physical reality operates via discrete integer updates rather than continuous manifolds, suggesting division-free models eliminate unphysical singularities.
This work establishes an overarching ontological synthesis, arguing that physical space, time, matter, and information are natively discrete, quantized, and governed by countable cardinality (₀). By reviewing and unifying findings on Zeno’s paradoxes, the Planck scale fallacy, field quantization mismatches, and numerical chaos artifacts, the paper exposes the continuous manifold (Rⁿ) as an ancient geometric fiction. It formulates an autonomous, closed-domain framework wherein physical reality operates entirely through granular, threshold-gated integer state updates, paving the way for division-free Diophantine computational execution and eliminating unphysical singularities
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Sagar Kapadia (2026) studied this question.