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<!-- SPDX-License-Identifier: Apache-2.0 © 2026 Lutar, Stephen P. — SZL Holdings · Doctrine v11+ -->
<!-- AYNI-OS surface — reciprocity organism + event-sourced replay + Tinkuy flow. ADDITIVE. -->
<!-- HONEST: Ayni = game-theory primitive (Axelrod-Hamilton 1981). Replay = event-sourcing,
     NOT time-travel. Tinkuy = Kuramoto 1975 order parameter. No mysticism. -->
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<title>a11oy · AYNI-OS — reciprocity organism &amp; time-reversible replay</title>
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<div class="wrap">
  <div class="top">
    <div><span class="brand">a11oy</span> <span class="tag">· AYNI-OS</span></div>
    <div class="nav"><a href="/">home</a><a href="/chaski">chaski</a><a href="/ayni">ayni</a></div>
  </div>

  <h1>AYNI-OS — reciprocity organism &amp; time-reversible replay</h1>
  <p class="sub">A time-reversible (event-sourced), forkable runtime governed by an
  <b>Ayni Conservation Law</b>. <b>Honest framing:</b> Ayni is a game-theory primitive
  (Axelrod&nbsp;&amp;&nbsp;Hamilton 1981; Trivers 1971), <i>not</i> mysticism;
  "time-reversal" is <i>event-sourcing replay</i>, <i>not</i> time-travel; Tinkuy is the
  Kuramoto (1975) order parameter. Locked Doctrine&nbsp;v11 numbers preserved
  (749/14/163, 13-axis yuyay_v3, replay bacf5443…631fc5).</p>

  <!-- AYNI GAUGES -->
  <div class="card">
    <h2>Ayni gauges — per-organ reciprocity coefficient α<sub>o</sub></h2>
    <div class="path">GET /v1/ayni · α = In/(In+Out) · α&lt;0.45 ⇒ HUKLLA T24 fires</div>
    <div class="row"><span id="ayniStatus" class="pill ok">loading…</span>
      <span class="mut">balanced α = 0.50 · deficit threshold 0.45</span></div>
    <div id="gauges" class="gauges"></div>
  </div>

  <!-- REPLAY SCRUBBER -->
  <div class="card">
    <h2>Replay timeline scrubber — verifiable state at past moment T</h2>
    <div class="path">GET /v1/replay?at=&lt;timestamp&gt; · mechanism = event-sourcing-replay</div>
    <div class="row">
      <span class="mut">T = <span id="tlabel" style="font-family:var(--mono)">—</span></span>
      <span id="chainPill" class="pill ok">chain —</span>
    </div>
    <input id="scrub" type="range" min="0" max="100" value="100"/>
    <pre id="replayOut">drag the scrubber to reconstruct empire state at past timestamp T…</pre>
  </div>

  <!-- TINKUY METER -->
  <div class="card">
    <h2>Tinkuy r meter — Kuramoto order parameter across organ phases</h2>
    <div class="path">GET /v1/tinkuy · r = |1/N · Σ e^{iθ}| · r&gt;0.85 ⇒ flow (suppress Reflexion)</div>
    <div class="meter"><i id="rbar" style="width:0%"></i></div>
    <div class="row"><span class="mut">r = <b id="rval">—</b></span>
      <span id="flowPill" class="pill ok">—</span></div>
  </div>

  <div class="cite">
    <b>Citations (peer-reviewed):</b>
    Axelrod &amp; Hamilton, "The Evolution of Cooperation," <i>Science</i> 211(4489):1390–1396, 1981 (DOI 10.1126/science.7466396).
    Trivers, "The Evolution of Reciprocal Altruism," <i>Q. Rev. Biol.</i> 46(1):35–57, 1971 (DOI 10.1086/406755).
    Kuramoto, Lecture Notes in Physics 39, Springer, 1975.
    Csikszentmihalyi, <i>Beyond Boredom and Anxiety</i>, 1975. Strogatz, <i>Sync</i>, 2003.
    Noether, "Invariante Variationsprobleme," Göttingen, 1918.
    <br/>Signed — <b>Yachay</b> (CTO). ADDITIVE only; yuyay_v3 hash untouched.
  </div>
</div>

<script>
const T0 = Math.floor(Date.now()/1000) - 3700;  // window start (≈ seed)
const T1 = Math.floor(Date.now()/1000);          // now
function color(a){ return a < 0.45 ? 'var(--bad)' : (a < 0.55 ? 'var(--warn)' : 'var(--ok)'); }

async function loadAyni(){
  try{
    const r = await fetch('/v1/ayni'); const d = await r.json();
    const g = document.getElementById('gauges'); g.innerHTML='';
    Object.entries(d.alphas||{}).forEach(([o,a])=>{
      const c = color(a);
      g.insertAdjacentHTML('beforeend',
        `<div class="g"><div class="name">${o}</div>
         <div class="val" style="color:${c}">${a.toFixed(2)}</div>
         <div class="bar"><i style="width:${Math.round(a*100)}%;background:${c}"></i></div></div>`);
    });
    const s = document.getElementById('ayniStatus');
    if(d.halt){ s.className='pill bad'; s.textContent='HUKLLA T24 — organ drained'; }
    else { s.className='pill ok'; s.textContent='balanced — no deficit'; }
  }catch(e){ document.getElementById('ayniStatus').textContent='offline'; }
}

async function loadReplay(frac){
  const T = Math.round(T0 + (T1-T0)*frac);
  document.getElementById('tlabel').textContent = new Date(T*1000).toISOString().replace('T',' ').slice(0,19);
  try{
    const r = await fetch('/v1/replay?at='+T); const d = await r.json();
    document.getElementById('replayOut').textContent = JSON.stringify(d, null, 2);
    const cp = document.getElementById('chainPill');
    if(d.chain_verified){ cp.className='pill ok'; cp.textContent='chain verified'; }
    else { cp.className='pill bad'; cp.textContent='chain BROKEN'; }
  }catch(e){ document.getElementById('replayOut').textContent='replay offline'; }
}

async function loadTinkuy(){
  try{
    const r = await fetch('/v1/tinkuy'); const d = await r.json();
    const pct = Math.round((d.r||0)*100);
    document.getElementById('rbar').style.width = pct+'%';
    document.getElementById('rval').textContent = (d.r||0).toFixed(3);
    const p = document.getElementById('flowPill');
    if(d.in_tinkuy){ p.className='pill ok'; p.textContent='TINKUY — flow (Reflexion suppressed)'; }
    else { p.className='pill bad'; p.textContent='incoherent — no flow'; }
  }catch(e){ document.getElementById('rval').textContent='offline'; }
}

document.getElementById('scrub').addEventListener('input', e=>loadReplay(e.target.value/100));
loadAyni(); loadReplay(1.0); loadTinkuy();
setInterval(loadAyni, 15000); setInterval(loadTinkuy, 15000);
</script>
  <script src="/assets/szl-flow.js" defer data-szl-flow-asset="script"></script>
  <script src="/assets/szl-holo-v2.js" defer data-szl-holo-asset="script-v2"></script>
</body>
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