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<header>
<h1>SHIVYA</h1>
<p class="subtitle">The Non-Dual Substrate (NDS)</p>
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<img src="assets/hero.svg" alt="SHIVYA HodgeMesh Causal Manifold">
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<section id="philosophy">
<h2>The Philosophical Shift</h2>
<p>
SHIVYA completely abandons classical consensus models in distributed state networks. Instead of forcing replicas to agree on a global sequential sequence of events, SHIVYA models history as a continuous causal manifold and transactions as geometric flows.
</p>
<p>
By applying the <strong>Hodge Decomposition Theorem</strong> on graph simplicial complexes, we isolate local transaction updates (gradient flow) from circular double spends and race conditions (curl flow). Replicas sync and merge states homeostatically without a central coordinator.
</p>
</section>
<section id="documentation">
<h2>Documentation & Core Reading</h2>
<div class="links-grid">
<a class="link-card" href="manifesto.html">The Manifesto</a>
<a class="link-card" href="philosophy.html">Core Philosophy</a>
<a class="link-card" href="architecture.html">Technical Architecture</a>
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</section>
<section id="quickstart">
<h2>Quickstart</h2>
<p>To run the live distributed ledger conflict simulation locally:</p>
<pre>PYTHONPATH=. python3 -u examples/01_mesh_simulation.py</pre>
<p>Then open the dashboard locally at <code>http://localhost:8000</code> or <code>http://localhost:8001</code> to view real-time state reconciliation.</p>
</section>
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SHIVYA Project © 2026. Released under the MIT License.
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