feat: complete academic peer upgrades and Grok audit resolution
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+22
-4
@@ -223,14 +223,14 @@ export default function FormalismPage() {
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{/* Metrics Breakdown */}
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<div className="grid grid-cols-2 gap-4">
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<div className="bg-white/5 border border-white/5 p-4 rounded-xl flex flex-col gap-1">
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<span className="font-mono text-[10px] text-slate-500 font-semibold uppercase tracking-wider">Attunement Index</span>
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<span className="font-mono text-[10px] text-slate-500 font-semibold uppercase tracking-wider">Simulated Attunement Index</span>
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<span className="text-2xl font-bold font-outfit text-white">{attunementIndex.toFixed(3)}</span>
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<span className="text-[9px] font-mono text-slate-400">Target goal ≥ 1.0</span>
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<span className="text-[9px] font-mono text-slate-400">Model parameter (target ≥ 1.0)</span>
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</div>
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<div className="bg-white/5 border border-white/5 p-4 rounded-xl flex flex-col gap-1">
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<span className="font-mono text-[10px] text-slate-500 font-semibold uppercase tracking-wider">Coherence Threshold</span>
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<span className="font-mono text-[10px] text-slate-500 font-semibold uppercase tracking-wider">Simulated Coherence Threshold</span>
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<span className="text-2xl font-bold font-outfit text-white">{coherenceThreshold.toFixed(3)}</span>
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<span className="text-[9px] font-mono text-slate-400">Locked above 1.25</span>
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<span className="text-[9px] font-mono text-slate-400">Model threshold (locked above 1.25)</span>
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</div>
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</div>
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</div>
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@@ -250,6 +250,24 @@ export default function FormalismPage() {
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Where <Katex math="\gamma" /> maps the linear feedback loop gain, <Katex math="K" /> models the coupled feedback weight delayed by <Katex math="D" /> steps, and <Katex math="\xi_t" /> represents thermal noise.
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</p>
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</div>
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{/* Modeling Assumptions & Limitations Panel */}
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<div className="glass-panel p-6 sm:p-8 rounded-2xl border border-white/5 flex flex-col gap-4">
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<h3 className="text-sm font-mono font-bold text-white uppercase tracking-wider text-pink-400">
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⚠️ Modeling Assumptions & Limitations
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</h3>
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<ul className="list-disc pl-5 space-y-2 text-xs text-slate-400 leading-relaxed font-sans">
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<li>
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<strong className="text-slate-300">Simplified Discrete Step Delays:</strong> The recursive feedback uses flat integer step delays ($t - D$). Actual biological delays are continuous functions determined by variable spatial myelination/synaptic paths.
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</li>
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<li>
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<strong className="text-slate-300">Closed Intrinsic Noise:</strong> Intrinsic thermal noise ($\xi_t$) is modeled as Gaussian white noise, neglecting colored/correlated environmental interference signals.
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</li>
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<li>
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<strong className="text-slate-300">Activation Saturation:</strong> The hyperbolic tangent ($\tanh$) activation function acts as a mathematical proxy for neuronal firing rate saturation bounds, preventing amplitude explosion under positive feedback loops.
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</li>
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</ul>
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</div>
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</div>
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</section>
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</div>
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