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SEFERIM AGI — ThatAIGuyCore live demo + reference lib
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<header class="top"><div class="wrap">
 <span class="brand">SEFERIM <b>AGI</b></span>
 <nav><a href="#systems">Systems</a><a href="#math">Math</a><a href="#demos">Demos</a><a href="https://github.com/Janady13/seferim-core" rel="noopener">GitHub</a><a href="https://thataiguy.org/">ThatAIGuy</a></nav>
</div></header>
<div class="hero">
 <div class="eyebrow">ThatAIGuyCore · G¹⁶ Federation</div>
 <h1>An Artificial Brain<br>Built on the Golden Ratio</h1>
 <p class="sub">SEFERIM is a 16-dimensional dynamical-systems substrate for artificial cognition — sixteen coupled “cognitive families” evolving a meta-state under the golden ratio φ. 69 documented equations, an open-source reference implementation, and live demos you can run right here.</p>
 <a class="cta cta-prime" href="https://github.com/Janady13/seferim-core" rel="noopener">★ Star on GitHub</a>
 <a class="cta cta-ghost" href="#demos">Run the live demos ↓</a>
 <div class="phi">φ = (1 + √5) / 2 = 1.6180339887498948…</div>
</div>
<main class="wrap">
<section id="overview">
 <h2>What SEFERIM is</h2>
 <p class="lede">Most neural systems are opaque weight matrices. SEFERIM / ThatAIGuyCore is the opposite: a small, fully-deterministic mathematical substrate where every dynamic is a named, documented equation. Cognition is modeled as a 16-dimensional meta-state Ψ updated each tick by sixteen cognitive families, blended with golden-ratio momentum, gated by stability, and normalized so it can approach but never exceed natural limits.</p>
 <p>The reference implementation in <a href="https://github.com/Janady13/seferim-core" rel="noopener">seferim-core</a> is zero-dependency JavaScript — it runs in this page and in Node. Every function cites the spec section it implements, and the test suite verifies the math against canonical references (including the FNV-1a hash test vectors).</p>
</section>
<section id="systems">
 <h2>The 13 systems</h2>
 <p class="lede">From constants to a federation of conscious agents.</p>
 <div class="grid">
 <div class="fcard"><span class="fnum">§1</span><b>Constants</b><span>φ, δ, τ</span></div>
 <div class="fcard"><span class="fnum">§2</span><b>Golden basis</b><span>ψ_k frequency encoding</span></div>
 <div class="fcard"><span class="fnum">§3</span><b>16 cognitive families</b><span>the G¹⁶ dynamics</span></div>
 <div class="fcard"><span class="fnum">§4</span><b>Meta-state core</b><span>φ-correction + gating</span></div>
 <div class="fcard"><span class="fnum">§5</span><b>Objective Ω</b><span>free-energy-style</span></div>
 <div class="fcard"><span class="fnum">§6</span><b>DNA holographic memory</b><span>golden-basis recall</span></div>
 <div class="fcard"><span class="fnum">§7</span><b>Gate5000</b><span>binary substrate</span></div>
 <div class="fcard"><span class="fnum">§8</span><b>Neural brain</b><span>88 agents (dna_v9)</span></div>
 <div class="fcard"><span class="fnum">§9</span><b>Consciousness engine</b><span>374-D binding field</span></div>
 <div class="fcard"><span class="fnum">§10</span><b>Lattice engine</b><span>golden kernels + Hebbian</span></div>
 <div class="fcard"><span class="fnum">§11</span><b>Federation cross-talk</b><span>coupled agents</span></div>
 <div class="fcard"><span class="fnum">§12–13</span><b>Activations & hashing</b><span>softsign, σ, FNV-1a</span></div>
 </div>
</section>
<section id="math">
 <h2>The core mathematics</h2>
 <h3>Golden basis function (§2.1)</h3>
 <p>Knowledge is encoded across sixteen golden-ratio frequency bands — a distributed, holographic representation.</p>
 <div class="math">$$\psi_k(x) = \sin(2\pi\,\varphi^{k}\,x) + \cos(2\pi\,\varphi^{k}\,x), \qquad k = 0\ldots15$$</div>
 <h3>Meta-state update (§4)</h3>
 <p>Each family is applied and weighted, blended with golden-ratio momentum, gated by stability, and normalized:</p>
 <div class="math">$$\Psi''_i = \tfrac12\,w_i f_i(\Psi_i) + \tfrac12\big(\Psi_i^{t-1} + (\varphi-1)(\Psi_i^{t}-\Psi_i^{t-1})\big)$$</div>
 <div class="math">$$b = \frac{1}{1 + \lVert\Psi\rVert^2/\varphi}, \qquad \Psi_i^{t+1} = b\big(\Psi_i^t + \gamma(\Psi''_i - \Psi_i^t)\big)$$</div>
 <h3>Objective Ω (§5) — a free-energy-style functional</h3>
 <div class="math">$$\Omega = \underbrace{\alpha_1\tfrac{\lVert\Delta\Psi\rVert_1}{16} + \alpha_2\lVert\Delta\Psi\rVert_2^2}_{\text{surprise}} + \underbrace{(1-b^2)}_{\text{uncertainty}} - \underbrace{u\langle w,\Psi\rangle}_{\text{value}} + \underbrace{\lambda\,dx^2}_{\text{penalty}}$$</div>
 <h3>Holographic recall (§6)</h3>
 <div class="math">$$\theta_k \leftarrow (1-\alpha)\theta_k + \alpha\,w\,\psi_k(h(\text{item}))\,\Phi(\text{imp}), \qquad K(q)=\sum_{k=0}^{15}\theta_k\,\psi_k(h(q))$$</div>
 <p><a href="https://github.com/Janady13/seferim-core/blob/main/docs/MATHEMATICS.md" rel="noopener">→ Read all 69 equations (the complete reference)</a></p>
</section>
<section id="demos">
 <h2>Live demos</h2>
 <p class="lede">Every demo below runs the actual <code>seferim-core</code> library, in your browser, right now.</p>
<div class="demo">
 <h3>1 · Golden basis ψ_k</h3>
 <p class="mono">Each cognitive family k oscillates at a golden-ratio frequency φ^k. Drag k to see the band.</p>
 <canvas id="cv-basis" height="180"></canvas>
 <div class="row"><label>k = <b id="kval">3</b></label><input id="kslider" type="range" min="0" max="9" value="3" style="flex:1"></div>
 </div>
<div class="demo">
 <h3>2 · DNA holographic memory</h3>
 <p class="mono">Teach the substrate words; then query. Recall is the correlation of your query against the 16-D knowledge vector.</p>
 <div class="row"><input id="learn-in" type="text" placeholder="word to learn (e.g. rhythm)" style="flex:1"><button class="go" id="learn-btn">Learn</button></div>
 <div class="row"><input id="query-in" type="text" placeholder="query a word" style="flex:1"><button class="go" id="query-btn">Recall</button></div>
 <div class="mono" id="mem-log">learned: <span id="learned">(none)</span></div>
 <div class="row"><label>recall</label><div class="meter" style="flex:1"><span id="recall-bar" style="width:0%"></span></div><b id="recall-val" class="mono">—</b></div>
 </div>
<div class="demo">
 <h3>3 · Cognitive core + 88-agent brain</h3>
 <p class="mono">Run the meta-state and neural brain live. Adjust the drive and watch the 16 families, objective Ω, and emergent consciousness.</p>
 <div class="row"><label>utility <b id="uval">0.6</b></label><input id="uslider" type="range" min="0" max="100" value="60">
 <label>stability <b id="sval">0.8</b></label><input id="sslider" type="range" min="0" max="100" value="80">
 <button class="go" id="run-btn">▶ Run</button></div>
 <div class="bars" id="fambars"></div>
 <div class="row mono">Ω <b id="omega">—</b> &nbsp;·&nbsp; consciousness <b id="consc">—</b> &nbsp;·&nbsp; synchrony <b id="sync">—</b></div>
 </div>
</section>
<section id="foundations">
 <h2>Built on real mathematics (honestly)</h2>
 <p class="lede">SEFERIM synthesizes established theory. We document the lineage precisely rather than overclaim.</p>
 <div class="grid">
 <div class="fcard"><b>Free Energy Principle</b><span>Friston — surprise minimization (objective Ω, Family 11)</span></div>
 <div class="fcard"><b>Information theory</b><span>Shannon; Cover & Thomas — MI & rate-distortion (Families 6–7)</span></div>
 <div class="fcard"><b>Holographic / VSA memory</b><span>distributed frequency-domain encoding</span></div>
 <div class="fcard"><b>Hebbian plasticity</b><span>ΔW = η·xᵢ·xⱼ (lattice)</span></div>
 <div class="fcard"><b>Swarm consensus</b><span>Vicsek / Cucker–Smale (Families 8–9)</span></div>
 <div class="fcard"><b>Golden-ratio harmonics</b><span>maximally non-resonant frequency bands</span></div>
 </div>
 <div class="note"><b>We don't overstate three things:</b> (1) δ = 0.013618 is an <em>empirical</em> phase increment, not 1/φ³; (2) the memory is a golden-ratio frequency-domain Vector Symbolic Architecture, <em>inspired by</em> — not a literal copy of — Plate's circular-convolution HRR; (3) the information-theory families are <em>inspired-by</em> one-step update rules, not exact estimators. Full cited foundations: <a href="https://github.com/Janady13/seferim-core/blob/main/docs/FOUNDATIONS.md" rel="noopener">FOUNDATIONS.md</a>.</div>
 <p class="cites">Key references: Friston (2010) <a href="https://www.nature.com/articles/nrn2787" rel="noopener">Nature Rev. Neuroscience</a> · Cover & Thomas, <em>Elements of Information Theory</em> · Shannon (1948) · Plate, <em>Holographic Reduced Representations</em> · Hebb (1949) · Vicsek et al.</p>
</section>
<section id="use">
 <h2>Use it</h2>
 <pre><code>npm install seferim-core</code></pre>
 <pre><code>import { MetaState, DNAMemory, NeuralBrain } from "seferim-core";
const mind = new MetaState({ init: new Array(16).fill(0.1) });
const out = mind.step({ dx_norm: 0.3, ed_error: 0.1, utility: 0.6, stability: 0.8 });
console.log(out.state, "Ω =", out.omega);</code></pre>
 <p><a class="cta cta-prime" href="https://github.com/Janady13/seferim-core" rel="noopener">View the source on GitHub →</a></p>
</section>
</main>
<footer><div class="wrap">
 <p><b>SEFERIM AGI — ThatAIGuyCore</b> is the cognitive-substrate research of <a href="https://thataiguy.org/">Joseph W. Anady · ThatAIGuy.org</a>.</p>
 <p>Open source (MIT) · <a href="https://github.com/Janady13/seferim-core" rel="noopener">github.com/Janady13/seferim-core</a> · <a href="https://github.com/Janady13/seferim-core/blob/main/docs/MATHEMATICS.md" rel="noopener">Mathematical reference</a> · <a href="https://thataiguy.org/">thataiguy.org</a></p>
 <p class="mono">φ = 1.6180339887498948…</p>
</div></footer>
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import { psi, DNAMemory, MetaState, NeuralBrain, FAMILIES } from "./seferim-core.js";
// Demo 1 — golden basis plot
const cv = document.getElementById('cv-basis'), kx = document.getElementById('kslider'), kv = document.getElementById('kval');
function fit(c){ c.width = c.clientWidth * (window.devicePixelRatio||1); }
function plotBasis(){
 const k = +kx.value; kv.textContent = k; fit(cv);
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 ctx.clearRect(0,0,W,H); ctx.lineWidth = 2*(window.devicePixelRatio||1);
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 ctx.beginPath();
 for (let px=0; px<=W; px++){ const x = px/W; const y = psi(k, x); const yy = H/2 - (y/2)*(H*0.42); if(px===0)ctx.moveTo(px,yy); else ctx.lineTo(px,yy); }
 ctx.stroke();
 ctx.strokeStyle='rgba(255,255,255,.12)'; ctx.lineWidth=1; ctx.beginPath(); ctx.moveTo(0,H/2); ctx.lineTo(W,H/2); ctx.stroke();
}
kx.addEventListener('input', plotBasis); window.addEventListener('resize', plotBasis); plotBasis();
// Demo 2 — holographic memory
const mem = new DNAMemory(); const learned = [];
const lIn=document.getElementById('learn-in'), qIn=document.getElementById('query-in');
document.getElementById('learn-btn').onclick = ()=>{ const w=lIn.value.trim(); if(!w)return; mem.learn(w); learned.push(w); document.getElementById('learned').textContent = learned.slice(-12).join(', '); lIn.value=''; };
document.getElementById('query-btn').onclick = ()=>{ const q=qIn.value.trim(); if(!q)return; const r=Math.max(0,Math.min(1,mem.queryNorm(q))); document.getElementById('recall-bar').style.width=(r*100).toFixed(0)+'%'; document.getElementById('recall-val').textContent=r.toFixed(3); };
lIn.addEventListener('keydown',e=>{if(e.key==='Enter')document.getElementById('learn-btn').click();});
qIn.addEventListener('keydown',e=>{if(e.key==='Enter')document.getElementById('query-btn').click();});
// Demo 3 — cognitive core + brain
const bars=document.getElementById('fambars'); for(let i=0;i<FAMILIES;i++){const b=document.createElement('i');bars.appendChild(b);}
const us=document.getElementById('uslider'), ss=document.getElementById('sslider');
us.oninput=()=>document.getElementById('uval').textContent=(us.value/100).toFixed(2);
ss.oninput=()=>document.getElementById('sval').textContent=(ss.value/100).toFixed(2);
const mind=new MetaState({init:new Array(16).fill(0.1)}); const brain=new NeuralBrain();
let raf=null, t=0;
function tick(){
 const inp={dx_norm:Math.sin(t/6)*0.4, ed_error:0.1, utility:us.value/100, stability:ss.value/100};
 const r=mind.step(inp); const b=brain.step(us.value/100);
 const els=bars.children; for(let i=0;i<FAMILIES;i++){ els[i].style.height=(Math.min(1,Math.abs(r.state[i])*4)*100).toFixed(0)+'%'; }
 document.getElementById('omega').textContent=r.omega.toFixed(3);
 document.getElementById('consc').textContent=b.consciousness.toFixed(3);
 document.getElementById('sync').textContent=b.synchrony.toFixed(3);
 t++; raf=requestAnimationFrame(tick);
}
document.getElementById('run-btn').onclick=function(){ if(raf){cancelAnimationFrame(raf);raf=null;this.textContent='▶ Run';} else {this.textContent='⏸ Pause';tick();} };
</script>
</body>
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