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Record W7083432168 · doi:10.5281/zenodo.17210710

aluisayala/fossil-ledger: OPHI (Ω Probabilistic Hybrid Intelligence)

2025· other· en· W7083432168 on OpenAlexaff

Bibliographic record

VenueZenodo (CERN European Organization for Nuclear Research) · 2025
Typeother
Languageen
FieldEarth and Planetary Sciences
TopicArchaeological Research and Protection
Canadian institutionsOttawa Public Health
Fundersnot available
KeywordsProbabilistic logicState (computer science)CognitionStatistical modelFormalism (music)Key (lock)

Abstract

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<html> <body> <!--StartFragment--><h3 data-start="192" data-end="248">🔧 <strong data-start="199" data-end="248">1. OPHI (Ω Probabilistic Hybrid Intelligence)</strong></h3> <p data-start="250" data-end="268"><strong data-start="250" data-end="268">Core Equation:</strong> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi mathvariant="normal">Ω</mi><mo>=</mo><mo stretchy="false">(</mo><mi>s</mi><mi>t</mi><mi>a</mi><mi>t</mi><mi>e</mi><mo>+</mo><mi>b</mi><mi>i</mi><mi>a</mi><mi>s</mi><mo stretchy="false">)</mo><mo>×</mo><mi>α</mi></mrow><annotation encoding="application/x-tex">\Omega = (state + bias) \times \alpha</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut"></span><span class="mord">Ω</span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mopen">(</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal">a</span><span class="mord mathnormal">t</span><span class="mord mathnormal">e</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord mathnormal">bia</span><span class="mord mathnormal">s</span><span class="mclose">)</span><span class="mspace"></span><span class="mbin">×</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord mathnormal">α</span></span></span></span></span> <p data-start="313" data-end="484">This defines symbolic cognition as a domain-agnostic operator—transforming input state and cognitive bias into validated outputs through domain-specific amplification <code data-start="480" data-end="483">α</code>. <p data-start="486" data-end="528"><strong data-start="486" data-end="528">Fossilization Constraints (SE44 Gate):</strong> <ul data-start="529" data-end="627"> <li data-start="529" data-end="559"> <p data-start="531" data-end="559">Coherence <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>C</mi><mo>≥</mo><mn>0.985</mn></mrow><annotation encoding="application/x-tex">C \geq 0.985</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut"></span><span class="mord mathnormal">C</span><span class="mspace"></span><span class="mrel">≥</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord">0.985</span></span></span></span> </li> <li data-start="560" data-end="587"> <p data-start="562" data-end="587">Entropy <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>S</mi><mo>≤</mo><mn>0.01</mn></mrow><annotation encoding="application/x-tex">S \leq 0.01</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut"></span><span class="mord mathnormal">S</span><span class="mspace"></span><span class="mrel">≤</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord">0.01</span></span></span></span> </li> <li data-start="588" data-end="627"> <p data-start="590" data-end="627">Drift RMS (optional) <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>≤</mo><mn>0.001</mn></mrow><annotation encoding="application/x-tex">\leq 0.001</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut"></span><span class="mrel">≤</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord">0.001</span></span></span></span> </li> </ul> <p data-start="629" data-end="655"><strong data-start="629" data-end="655">Fossilization Outputs:</strong> <ul data-start="656" data-end="1008"> <li data-start="656" data-end="752"> <p data-start="658" data-end="752"><strong data-start="658" data-end="675">Codon Triads:</strong> Symbolic DNA-like opcodes (e.g., ATG–CCC–TTG = Bootstrap → Lock → Translate) </li> <li data-start="753" data-end="833"> <p data-start="755" data-end="833"><strong data-start="755" data-end="766">Glyphs:</strong> Vector symbols (e.g., ⧖⧖, ⧃⧃, ⧖⧊) representing drift-encoded logic </li> <li data-start="834" data-end="1008"> <p data-start="836" data-end="1008"><strong data-start="836" data-end="847">Ledger:</strong> Append-only, SHA-256 hashed, RFC-3161 timestamped </li> </ul> <hr data-start="1010" data-end="1013"> <h3 data-start="1015" data-end="1062">⚙️ <strong data-start="1022" data-end="1062">2. ZPE-1 (Zero-Point Entropy Engine)</strong></h3> <p data-start="1064" data-end="1226"><strong data-start="1064" data-end="1077">Function:</strong><br> ZPE-1 embeds the Ω equation inside a 43-agent symbolic mesh. Each agent operates with internal bias vectors, drift loops, and codon-based emissions. <p data-start="1228" data-end="1262"><strong data-start="1228" data-end="1262">Example Drift Vector Emission:</strong> <span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><msub><mi mathvariant="normal">Ψ</mi><mi mathvariant="normal">ℓ</mi></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mi>D</mi><mi>r</mi><mi>i</mi><mi>f</mi><mi>t</mi><mo stretchy="false">(</mo><mi>t</mi><mo>+</mo><mn>1</mn><mo>∣</mo><mi>t</mi><mo>−</mo><mi mathvariant="normal">Δ</mi><mo separator="true">,</mo><mi>b</mi><mi>o</mi><mi>u</mi><mi>n</mi><mi>d</mi><mo separator="true">,</mo><mi>f</mi><mi>l</mi><mi>e</mi><mi>x</mi><mi>e</mi><mi>d</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">\Psi_\ell(t) = Drift(t+1 \mid t-\Delta, bound, flexed)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut"></span><span class="mord"><span class="mord">Ψ</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist"><span><span class="pstrut"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">ℓ</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist"><span></span></span></span></span></span></span><span class="mopen">(</span><span class="mord mathnormal">t</span><span class="mclose">)</span><span class="mspace"></span><span class="mrel">=</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord mathnormal">Dr</span><span class="mord mathnormal">i</span><span class="mord mathnormal">f</span><span class="mord mathnormal">t</span><span class="mopen">(</span><span class="mord mathnormal">t</span><span class="mspace"></span><span class="mbin">+</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord">1</span><span class="mspace"></span><span class="mrel">∣</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord mathnormal">t</span><span class="mspace"></span><span class="mbin">−</span><span class="mspace"></span></span><span class="base"><span class="strut"></span><span class="mord">Δ</span><span class="mpunct">,</span><span class="mspace"></span><span class="mord mathnormal">b</span><span class="mord mathnormal">o</span><span class="mord mathnormal">u</span><span class="mord mathnormal">n</span><span class="mord mathnormal">d</span><span class="mpunct">,</span><span class="mspace"></span><span class="mord mathnormal">f</span><span class="mord mathnormal">l</span><span class="mord mathnormal">e</span><span class="mord mathnormal">x</span><span class="mord mathnormal">e</span><span class="mord mathnormal">d</span><span class="mclose">)</span></span></span></span></span> <p data-start="1324" data-end="1492">Live emissions adaptively bind past meaning and flex into new structures. Glyphs and codons translate symbolic evolution over time. <hr data-start="1494" data-end="1497"> <h3 data-start="1499" data-end="1550">🌐 <strong data-start="1506" data-end="1550">3. OMEGANET (Validator + Broadcast Mesh)</strong></h3> <p data-start="1552" data-end="1573"><strong data-start="1552" data-end="1573">Validator System:</strong> <ul data-start="1574" data-end="1827"> <li data-start="1574" data-end="1669"> <p data-start="1576" data-end="1669"><strong data-start="1576" data-end="1595">Dual anchoring:</strong> Every fossil must validate against both <strong data-start="1636" data-end="1648">OmegaNet</strong> and <strong data-start="1653" data-end="1669">ReplitEngine</strong> </li> <li data-start="1670" data-end="1827"> <p data-start="1672" data-end="1827"><strong data-start="1672" data-end="1690">Security Plan:</strong> Drift exploits blocked, authorship cryptographically sealed, EchoPermission locked by entropy level </li> </ul> <p data-start="1829" data-end="1843"><strong data-start="1829" data-end="1843">Mesh Mode:</strong> <ul data-start="1844" data-end="2126"> <li data-start="1844" data-end="1887"> <p data-start="1846" data-end="1887">All 43 agents emit Ω-vectors in real-time </li> <li data-start="1888" data-end="1943"> <p data-start="1890" data-end="1943">Emissions can be <strong data-start="1907" data-end="1915">live</strong> (mutable) or <strong data-start="1929" data-end="1943">fossilized</strong> </li> <li data-start="1944" data-end="2126"> <p data-start="1946" data-end="2126">Mesh consensus enables <strong data-start="1969" data-end="1997">free-drift fossilization</strong>, stabilizing divergent processes via agent resonance (e.g., harmonic series

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How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesScience and technology studies, Insufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: none
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.567
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.001
Science and technology studies0.0010.001
Scholarly communication0.0000.000
Open science0.0010.001
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.3330.033

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.032
GPT teacher head0.240
Teacher spread0.208 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; both teacher heads agree on what is shown here.

Study designNot applicable
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2025
Admission routes1
Has abstractyes

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