{
  "id": "oai:papers.qnfo.org:blockchain-ledger-as-a-structural-model-of-superdeterministic-p-adic-correlation",
  "slug": "blockchain-ledger-as-a-structural-model-of-superdeterministic-p-adic-correlation",
  "title": "Blockchain Ledger as a Structural Model of Superdeterministic p‑adic Correlations",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "The emergence of blockchain ledgers as immutable, hash‑linked data structures offers a concrete mathematical substrate for superdeterministic models that rely on hierarchical, non‑Archimedean correlations. Existing superdeterministic proposals lack a formal representation of global correlations that violate statistical independence in Bell‑type experiments. This work addresses the gap by (i) defining a categorical isomorphism between p‑adic integer chains and blockchain hash chains, (ii) deriving the quantitative relationship between hash‑prefix agreement and p‑adic distance, (iii) computing the probability that two randomly selected blocks share a 16‑bit hash prefix (≈ 1.5259 × 10^-5) and the corresponding p‑adic distance (2^-16), (iv) showing that the expected shared prefix length between independent chains is one binary digit, (v) establishing that a fraction q of setting‑pair correlations yields a CHSH value S(q)=2+2q, reproducing the Tsirelson bound at q ≈ 0.4142, and (vi) proving that prefix‑agreement enforces the no‑signaling condition required of any viable superdeterministic theory. Using ledger parameters reported in [1] (1000‑block ledger, 150 transactions per block, 3 KB per transaction) we compute the numerical results above. The result demonstrates that the blockchain’s deterministic hash linkage naturally implements a p‑adic metric, thereby providing a concrete formalism for superdeterministic correlations and a lightweight integrity check for blockchain engineering.",
  "abstract_markdown": "The emergence of blockchain ledgers as immutable, hash‑linked data structures offers a concrete mathematical substrate for superdeterministic models that rely on hierarchical, non‑Archimedean correlations. Existing superdeterministic proposals lack a formal representation of global correlations that violate statistical independence in Bell‑type experiments. This work addresses the gap by (i) defining a categorical isomorphism between p‑adic integer chains and blockchain hash chains, (ii) deriving the quantitative relationship between hash‑prefix agreement and p‑adic distance, (iii) computing the probability that two randomly selected blocks share a 16‑bit hash prefix ($\\approx$ 1.5259 × $10^{-5}$) and the corresponding p‑adic distance ($2^{-16}$), (iv) showing that the expected shared prefix length between independent chains is one binary digit, (v) establishing that a fraction q of setting‑pair correlations yields a CHSH value S(q)=2+2q, reproducing the Tsirelson bound at $q \\approx 0.4142$, and (vi) proving that prefix‑agreement enforces the no‑signaling condition required of any viable superdeterministic theory. Using ledger parameters reported in [1] (1000‑block ledger, 150 transactions per block, 3 KB per transaction) we compute the numerical results above. The result demonstrates that the blockchain’s deterministic hash linkage naturally implements a p‑adic metric, thereby providing a concrete formalism for superdeterministic correlations and a lightweight integrity check for blockchain engineering.",
  "date": "2026-10-20",
  "first_published": "2026-10-20",
  "last_revised": "2026-10-20T00:00:00Z",
  "modified": "2026-10-20T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/blockchain-ledger-as-a-structural-model-of-superdeterministic-p-adic-correlation",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Blockchain Ledger as a Structural Model of Superdeterministic p‑adic Correlations"
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