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	<html lang="en">
	<head>
	<meta charset="UTF-8">
	<meta name="viewport" content="width=device-width, initial-scale=1.0">
	<title>Collaborative Holographic Universe Simulation</title>
	<style>
	body {
	font-family: 'Arial', sans-serif;
	background: linear-gradient(135deg, #000, #111);
	margin: 0;
	padding: 0;
	color: #ccf;
	min-height: 100vh;
	display: flex;
	flex-direction: column;
	justify-content: center;
	align-items: center;
	}
	.container {
	width: 90%;
	max-width: 1200px;
	margin: 0 auto;
	padding: 20px;
	}
	.header {
	text-align: center;
	margin-bottom: 20px;
	}
	h1 {
	font-size: 2.5rem;
	color: #7cf;
	text-shadow: 0 0 10px rgba(124, 255, 255, 0.7);
	}
	.quantum-simulator {
	background: rgba(0, 0, 15, 0.7);
	border-radius: 15px;
	padding: 20px;
	margin-bottom: 30px;
	box-shadow: 0 0 20px rgba(124, 200, 255, 0.3);
	}
	.env-setup {
	background: rgba(15, 0, 30, 0.7);
	border-radius: 15px;
	padding: 20px;
	margin-bottom: 30px;
	box-shadow: 0 0 20px rgba(180, 120, 255, 0.3);
	}
	.analysis {
	background: rgba(0, 30, 15, 0.7);
	border-radius: 15px;
	padding: 20px;
	box-shadow: 0 0 20px rgba(120, 255, 170, 0.3);
	}
	.section-title {
	color: #adf;
	font-size: 1.6rem;
	margin-bottom: 15px;
	}
	.row {
	display: flex;
	flex-wrap: wrap;
	margin: 0 -10px;
	}
	.column {
	flex: 1 1 300px;
	margin: 10px;
	}
	canvas {
	width: 100%;
	height: auto;
	background: #000;
	border-radius: 10px;
	max-height: 300px;
	}
	button {
	background: linear-gradient(45deg, #4a7bd1, #7a4ad1);
	color: white;
	border: none;
	padding: 12px 20px;
	border-radius: 5px;
	font-size: 16px;
	cursor: pointer;
	margin-top: 10px;
	transition: all 0.3s;
	}
	button:hover {
	transform: scale(1.05);
	box-shadow: 0 0 15px rgba(124, 200, 255, 0.6);
	}
	.control-panel {
	display: flex;
	flex-wrap: wrap;
	gap: 10px;
	margin-bottom: 15px;
	}
	.parameter-control {
	display: flex;
	flex-direction: column;
	min-width: 120px;
	}
	label {
	margin-bottom: 5px;
	color: #8cf;
	}
	input {
	padding: 8px;
	border-radius: 4px;
	border: 1px solid #446;
	background: #112;
	color: #ddf;
	}
	.code-block {
	background: #001;
	padding: 15px;
	border-radius: 5px;
	font-family: monospace;
	overflow-x: auto;
	color: #8df;
	margin-top: 10px;
	}
	.visualization {
	width: 100%;
	height: 280px;
	margin-top: 15px;
	position: relative;
	}
	.visualizer-canvas {
	background: linear-gradient(to bottom, #000510, #001030);
	border: 1px solid #333366;
	width: 100%;
	height: 100%;
	border-radius: 8px;
	}
	.metrics {
	display: grid;
	grid-template-columns: repeat(auto-fill, minmax(200px, 1fr));
	gap: 15px;
	margin-top: 15px;
	}
	.metric-card {
	background: rgba(20, 30, 50, 0.6);
	padding: 15px;
	border-radius: 8px;
	text-align: center;
	}
	.metric-value {
	font-size: 1.8rem;
	color: #7df;
	margin: 10px 0;
	font-weight: bold;
	}
	.metric-label {
	color: #adf;
	font-size: 0.9rem;
	}
	@media (max-width: 768px) {
	.column {
	flex: 1 1 100%;
	}
	}

	.user-avatar {
	width: 30px;
	height: 30px;
	border-radius: 50%;
	margin-right: 5px;
	}

	.users-list {
	background: rgba(10, 20, 40, 0.7);
	border-radius: 10px;
	padding: 15px;
	margin-bottom: 20px;
	max-height: 150px;
	overflow-y: auto;
	}

	.user-container {
	display: flex;
	align-items: center;
	margin-bottom: 8px;
	color: #adf;
	font-size: 0.9rem;
	}

	.user-cursor {
	position: absolute;
	pointer-events: none;
	z-index: 1000;
	font-size: 12px;
	display: flex;
	flex-direction: column;
	align-items: center;
	}

	.cursor-pointer {
	width: 20px;
	height: 20px;
	border-radius: 50%;
	}

	.cursor-label {
	background: rgba(0, 0, 0, 0.7);
	color: white;
	padding: 2px 5px;
	border-radius: 3px;
	margin-top: 5px;
	white-space: nowrap;
	}

	.chat-container {
	background: rgba(10, 20, 40, 0.7);
	border-radius: 10px;
	padding: 15px;
	margin-top: 20px;
	display: flex;
	flex-direction: column;
	height: 200px;
	}

	.chat-messages {
	flex-grow: 1;
	overflow-y: auto;
	margin-bottom: 10px;
	color: #ddf;
	}

	.chat-input-container {
	display: flex;
	}

	.chat-input {
	flex-grow: 1;
	padding: 8px;
	border-radius: 4px;
	border: 1px solid #446;
	background: #112;
	color: #ddf;
	margin-right: 5px;
	}

	.chat-send {
	background: linear-gradient(45deg, #4a7bd1, #7a4ad1);
	color: white;
	border: none;
	padding: 8px 15px;
	border-radius: 5px;
	cursor: pointer;
	}

	.message {
	margin-bottom: 8px;
	}

	.message-user {
	font-weight: bold;
	color: #7cf;
	}

	.message-text {
	color: #ccf;
	}
	</style>
	</head>
	<body>
	<div class="container">
	<div class="header">
	<h1>Collaborative Holographic Universe Simulation</h1>
	<p>Explore quantum circuits and holographic frameworks together in real-time</p>
	</div>

	<div class="users-list" id="users-list">
	<h3>Connected Users</h3>
	<div id="users-container"></div>
	</div>

	<div class="quantum-simulator">
	<h2 class="section-title">Quantum Circuit Setup</h2>
	<div class="row">
	<div class="column">
	<div class="control-panel">
	<div class="parameter-control">
	<label for="num-qubits">Number of Qubits</label>
	<input type="number" id="num-qubits" min="1" max="8" value="3">
	</div>
	<div class="parameter-control">
	<label for="num-shots">Number of Shots</label>
	<input type="number" id="num-shots" min="100" max="10000" value="1024">
	</div>
	</div>
	<div class="code-block">
	<pre>
	# Define a quantum register and circuit
	qr = QuantumRegister(3, 'q')
	cr = ClassicalRegister(3, 'c')
	qc = QuantumCircuit(qr, cr)

	# Apply Hadamard gates to create superposition
	for i in range(qr.size()):
	qc.h(qr[i])

	# Apply CNOT gate to entangle qubits
	qc.cx(qr[0], qr[1])

	# Measure all qubits
	qc.measure(qr, cr)</pre>
	</div>
	<button id="run-circuit">Run Quantum Circuit</button>
	</div>
	<div class="column">
	<div class="visualization">
	<canvas id="circuit-canvas" class="visualizer-canvas"></canvas>
	</div>
	<div class="metrics">
	<div class="metric-card">
	<div class="metric-label">Entanglement Measure</div>
	<div class="metric-value" id="entanglement-value">0.82</div>
	</div>
	<div class="metric-card">
	<div class="metric-label">Coherence</div>
	<div class="metric-value" id="coherence-value">0.65</div>
	</div>
	</div>
	</div>
	</div>
	</div>

	<div class="env-setup">
	<h2 class="section-title">Holographic Environment Setup</h2>
	<div class="row">
	<div class="column">
	<div class="control-panel">
	<div class="parameter-control">
	<label for="time-const">Time Constant (t)</label>
	<input type="number" id="time-const" min="0" max="3" value="1">
	</div>
	<div class="parameter-control">
	<label for="space-scale">Space Scale (s)</label>
	<input type="number" id="space-scale" min="0" max="3" value="2">
	</div>
	<div class="parameter-control">
	<label for="mass-value">Mass Value (m)</label>
	<input type="number" id="mass-value" min="0" max="3" value="3">
	</div>
	<div class="parameter-control">
	<label for="dimension-num">Dimensions (d)</label>
	<input type="number" id="dimension-num" min="0" max="3" value="1">
	</div>
	</div>
	<div class="code-block">
	<pre>
	# Define environment variables (2-bit representations)
	t = 0b01 # Planck time (scaled)
	s = 0b10 # Scale of space
	m = 0b11 # Simplified number of atoms
	d = 0b01 # Number of dimensions

	# Concatenate to form 8-bit environment label
	env_label = f"{t:02b}{s:02b}{m:02b}{d:02b}"

	# Create environment state vector
	env_state = Statevector.from_label(env_label)</pre>
	</div>
	<button id="update-env">Update Environment</button>
	</div>
	<div class="column">
	<div class="visualization">
	<canvas id="environment-canvas" class="visualizer-canvas"></canvas>
	</div>
	<div class="metrics">
	<div class="metric-card">
	<div class="metric-label">Environment Label</div>
	<div class="metric-value" id="env-label-value">01101101</div>
	</div>
	<div class="metric-card">
	<div class="metric-label">State Complexity</div>
	<div class="metric-value" id="complexity-value">3.14</div>
	</div>
	</div>
	</div>
	</div>
	</div>

	<div class="analysis">
	<h2 class="section-title">Analysis and Results</h2>
	<div class="row">
	<div class="column">
	<div class="visualization">
	<canvas id="histogram-canvas" class="visualizer-canvas"></canvas>
	</div>
	<div class="metrics">
	<div class="metric-card">
	<div class="metric-label">Mean Count</div>
	<div class="metric-value" id="mean-count">128.00</div>
	</div>
	<div class="metric-card">
	<div class="metric-label">Variance</div>
	<div class="metric-value" id="variance-count">42.56</div>
	</div>
	</div>
	</div>
	<div class="column">
	<div class="visualization">
	<canvas id="evolution-canvas" class="visualizer-canvas"></canvas>
	</div>
	<div class="metrics">
	<div class="metric-card">
	<div class="metric-label">State Fidelity</div>
	<div class="metric-value" id="fidelity-value">0.78</div>
	</div>
	<div class="metric-card">
	<div class="metric-label">Quantum Entropy</div>
	<div class="metric-value" id="entropy-value">1.23</div>
	</div>
	</div>
	</div>
	</div>
	<button id="run-analysis">Run Full Analysis</button>
	</div>

	<div class="chat-container">
	<div class="chat-messages" id="chat-messages"></div>
	<div class="chat-input-container">
	<input type="text" class="chat-input" id="chat-input" placeholder="Type your message...">
	<button class="chat-send" id="chat-send">Send</button>
	</div>
	</div>
	</div>

	<script>
	// Initialize WebSocket for multiplayer functionality
	const room = new WebsimSocket();
	let clientId, username;
	const cursors = {};

	// Map to track user colors
	const userColors = {};

	// Track when user last moved cursor (to avoid too many updates)
	let lastCursorUpdate = 0;

	// Initialize canvases
	const canvases = {
	circuit: document.getElementById('circuit-canvas'),
	environment: document.getElementById('environment-canvas'),
	histogram: document.getElementById('histogram-canvas'),
	evolution: document.getElementById('evolution-canvas')
	};

	// Initialize contexts
	const contexts = {};
	for (const [key, canvas] of Object.entries(canvases)) {
	contexts[key] = canvas.getContext('2d');
	canvas.width = canvas.clientWidth;
	canvas.height = canvas.clientHeight;
	}

	// Simulation state
	const state = {
	qubits: 3,
	shots: 1024,
	environmentParams: {
	t: 1, // Time constant
	s: 2, // Space scale
	m: 3, // Mass value
	d: 1 // Dimensions
	},
	measurements: {},
	environmentState: {},
	statistics: {
	mean: 128.0,
	variance: 42.56,
	fidelity: 0.78,
	entropy: 1.23,
	entanglement: 0.82,
	coherence: 0.65,
	complexity: 3.14
	}
	};

	// Draw quantum circuit visualization
	function drawCircuit() {
	const ctx = contexts.circuit;
	const width = canvases.circuit.width;
	const height = canvases.circuit.height;

	ctx.clearRect(0, 0, width, height);

	// Draw background grid
	ctx.strokeStyle = 'rgba(100, 150, 255, 0.1)';
	ctx.lineWidth = 1;

	const gridSize = 20;

	for (let x = 0; x <= width; x += gridSize) {
	ctx.beginPath();
	ctx.moveTo(x, 0);
	ctx.lineTo(x, height);
	ctx.stroke();
	}

	for (let y = 0; y <= height; y += gridSize) {
	ctx.beginPath();
	ctx.moveTo(0, y);
	ctx.lineTo(width, y);
	ctx.stroke();
	}

	// Draw qubit lines
	const qubitSpacing = height / (state.qubits + 1);

	ctx.strokeStyle = 'rgba(100, 200, 255, 0.8)';
	ctx.lineWidth = 2;

	for (let i = 0; i < state.qubits; i++) {
	const y = (i + 1) * qubitSpacing;

	ctx.beginPath();
	ctx.moveTo(50, y);
	ctx.lineTo(width - 50, y);
	ctx.stroke();

	// Qubit label
	ctx.fillStyle = 'rgba(150, 220, 255, 0.8)';
	ctx.font = '12px Arial';
	ctx.textAlign = 'right';
	ctx.fillText(`q${i}`, 40, y + 4);
	}

	// Draw Hadamard gates
	const gateWidth = 30;
	const gateHeight = 30;
	const hGateX = 100;

	for (let i = 0; i < state.qubits; i++) {
	const y = (i + 1) * qubitSpacing - gateHeight / 2;

	ctx.fillStyle = 'rgba(100, 150, 255, 0.7)';
	ctx.fillRect(hGateX, y, gateWidth, gateHeight);

	ctx.fillStyle = 'white';
	ctx.font = 'bold 16px Arial';
	ctx.textAlign = 'center';
	ctx.textBaseline = 'middle';
	ctx.fillText('H', hGateX + gateWidth / 2, y + gateHeight / 2);
	}

	// Draw CNOT gate
	const cnotX = 200;
	const controlY = 1 * qubitSpacing;
	const targetY = 2 * qubitSpacing;

	// Control point
	ctx.fillStyle = 'rgba(255, 100, 100, 0.8)';
	ctx.beginPath();
	ctx.arc(cnotX, controlY, 5, 0, Math.PI * 2);
	ctx.fill();

	// Line connecting control and target
	ctx.strokeStyle = 'rgba(255, 100, 100, 0.8)';
	ctx.beginPath();
	ctx.moveTo(cnotX, controlY);
	ctx.lineTo(cnotX, targetY);
	ctx.stroke();

	// Target circle
	ctx.beginPath();
	ctx.arc(cnotX, targetY, 15, 0, Math.PI * 2);
	ctx.stroke();

	// Plus symbol
	ctx.beginPath();
	ctx.moveTo(cnotX - 10, targetY);
	ctx.lineTo(cnotX + 10, targetY);
	ctx.moveTo(cnotX, targetY - 10);
	ctx.lineTo(cnotX, targetY + 10);
	ctx.stroke();

	// Draw measurement operations
	const measureX = 300;

	for (let i = 0; i < state.qubits; i++) {
	const y = (i + 1) * qubitSpacing;

	// Measurement symbol
	ctx.strokeStyle = 'rgba(150, 255, 150, 0.8)';
	ctx.fillStyle = 'rgba(100, 200, 100, 0.3)';

	// Box
	ctx.fillRect(measureX, y - 15, 40, 30);
	ctx.strokeRect(measureX, y - 15, 40, 30);

	// Meter symbol
	ctx.beginPath();
	ctx.moveTo(measureX + 10, y - 5);
	ctx.lineTo(measureX + 10, y + 5);
	ctx.lineTo(measureX + 30, y - 5);
	ctx.lineTo(measureX + 30, y + 5);
	ctx.stroke();
	}
	}

	// Draw holographic environment visualization
	function drawEnvironment() {
	const ctx = contexts.environment;
	const width = canvases.environment.width;
	const height = canvases.environment.height;

	ctx.clearRect(0, 0, width, height);

	// Draw background
	const gradient = ctx.createLinearGradient(0, 0, width, height);
	gradient.addColorStop(0, 'rgba(0, 10, 30, 0.5)');
	gradient.addColorStop(1, 'rgba(30, 0, 60, 0.5)');

	ctx.fillStyle = gradient;
	ctx.fillRect(0, 0, width, height);

	// Update environment label display
	const envLabel = `${state.environmentParams.t.toString(2).padStart(2, '0')}${state.environmentParams.s.toString(2).padStart(2, '0')}${state.environmentParams.m.toString(2).padStart(2, '0')}${state.environmentParams.d.toString(2).padStart(2, '0')}`;
	document.getElementById('env-label-value').textContent = envLabel;

	// Draw bit representations
	const bitSize = 30;
	const startX = width / 2 - (8 * bitSize) / 2;
	const y = height / 2;

	for (let i = 0; i < 8; i++) {
	const x = startX + i * bitSize;
	const bitValue = envLabel[i];

	ctx.fillStyle = bitValue === '1' ? 'rgba(100, 200, 255, 0.8)' : 'rgba(50, 50, 100, 0.5)';
	ctx.fillRect(x, y - bitSize / 2, bitSize - 2, bitSize);

	ctx.fillStyle = 'white';
	ctx.font = '14px Arial';
	ctx.textAlign = 'center';
	ctx.textBaseline = 'middle';
	ctx.fillText(bitValue, x + bitSize / 2 - 1, y);
	}

	// Draw parameter indicators
	const paramRadius = 50;
	const centerX = width / 2;
	const centerY = height / 2 - 70;

	// Draw parameter circles
	const params = [
	{ name: 't', value: state.environmentParams.t, color: 'rgba(255, 100, 100, 0.7)' },
	{ name: 's', value: state.environmentParams.s, color: 'rgba(100, 255, 100, 0.7)' },
	{ name: 'm', value: state.environmentParams.m, color: 'rgba(100, 100, 255, 0.7)' },
	{ name: 'd', value: state.environmentParams.d, color: 'rgba(255, 255, 100, 0.7)' }
	];

	for (let i = 0; i < params.length; i++) {
	const angle = (i * Math.PI / 2) - Math.PI / 4;
	const x = centerX + Math.cos(angle) * paramRadius;
	const y = centerY + Math.sin(angle) * paramRadius;
	const param = params[i];

	// Circle
	ctx.fillStyle = param.color;
	ctx.beginPath();
	ctx.arc(x, y, 20, 0, Math.PI * 2);
	ctx.fill();

	// Label
	ctx.fillStyle = 'white';
	ctx.font = 'bold 16px Arial';
	ctx.textAlign = 'center';
	ctx.textBaseline = 'middle';
	ctx.fillText(param.name, x, y - 2);

	// Value
	ctx.font = '12px Arial';
	ctx.fillText(param.value, x, y + 12);
	}

	// Draw connecting lines
	ctx.strokeStyle = 'rgba(150, 150, 255, 0.4)';
	ctx.lineWidth = 1;

	for (let i = 0; i < params.length; i++) {
	const angle1 = (i * Math.PI / 2) - Math.PI / 4;
	const x1 = centerX + Math.cos(angle1) * paramRadius;
	const y1 = centerY + Math.sin(angle1) * paramRadius;

	for (let j = i + 1; j < params.length; j++) {
	const angle2 = (j * Math.PI / 2) - Math.PI / 4;
	const x2 = centerX + Math.cos(angle2) * paramRadius;
	const y2 = centerY + Math.sin(angle2) * paramRadius;

	ctx.beginPath();
	ctx.moveTo(x1, y1);
	ctx.lineTo(x2, y2);
	ctx.stroke();
	}
	}

	// Draw holographic effect
	for (let i = 0; i < 50; i++) {
	const angle = Math.random() * Math.PI * 2;
	const distance = Math.random() * 100 + 30;
	const x = centerX + Math.cos(angle) * distance;
	const y = centerY + Math.sin(angle) * distance;

	ctx.fillStyle = `rgba(150, 220, 255, ${Math.random() * 0.2})`;
	ctx.beginPath();
	ctx.arc(x, y, Math.random() * 5 + 1, 0, Math.PI * 2);
	ctx.fill();
	}

	// Update complexity metric
	const complexity = (1 + Math.sin(Date.now() / 1000) * 0.1) * 3.14;
	document.getElementById('complexity-value').textContent = complexity.toFixed(2);
	}

	// Draw measurement histogram
	function drawHistogram() {
	const ctx = contexts.histogram;
	const width = canvases.histogram.width;
	const height = canvases.histogram.height;

	ctx.clearRect(0, 0, width, height);

	// Generate some sample measurement data based on current qubits
	const possibleOutcomes = Math.pow(2, state.qubits);
	const measurements = {};
	let total = 0;

	// Create plausible quantum distribution
	for (let i = 0; i < possibleOutcomes; i++) {
	const bitString = i.toString(2).padStart(state.qubits, '0');

	// Generate values with a slight bias towards balanced states
	let probability = Math.random();

	// Add interference pattern for more realistic quantum results
	const hammingWeight = bitString.split('').filter(bit => bit === '1').length;
	const balance = Math.abs(hammingWeight - state.qubits / 2) / state.qubits;
	probability = probability * (1 - balance * 0.5);

	// Add entanglement effect (correlations between bits 0 and 1)
	if (state.qubits >= 2 && bitString[0] === bitString[1]) {
	probability *= 1.5;
	}

	const count = Math.floor(probability * state.shots / possibleOutcomes * 2);
	measurements[bitString] = count;
	total += count;
	}

	// Normalize to ensure total equals shots
	for (const outcome in measurements) {
	measurements[outcome] = Math.floor(measurements[outcome] * state.shots / total);
	}

	// Calculate statistics
	const values = Object.values(measurements);
	const mean = values.reduce((sum, val) => sum + val, 0) / values.length;
	const variance = values.reduce((sum, val) => sum + Math.pow(val - mean, 2), 0) / values.length;

	state.statistics.mean = mean;
	state.statistics.variance = variance;

	// Update metrics display
	document.getElementById('mean-count').textContent = mean.toFixed(2);
	document.getElementById('variance-count').textContent = variance.toFixed(2);

	// Draw histogram
	const outcomes = Object.keys(measurements).sort();
	const barWidth = width / outcomes.length;
	const maxHeight = height - 40;
	const maxCount = Math.max(...Object.values(measurements));

	// Draw bars
	for (let i = 0; i < outcomes.length; i++) {
	const outcome = outcomes[i];
	const count = measurements[outcome];
	const barHeight = (count / maxCount) * maxHeight;

	const hue = 240 - (i / outcomes.length) * 60;
	ctx.fillStyle = `hsla(${hue}, 80%, 60%, 0.7)`;

	ctx.fillRect(i * barWidth, height - barHeight - 30, barWidth - 2, barHeight);

	// Label for bar
	if (barWidth > 25) {
	ctx.fillStyle = 'white';
	ctx.font = '10px Arial';
	ctx.textAlign = 'center';
	ctx.textBaseline = 'top';
	ctx.fillText(outcome, i * barWidth + barWidth / 2, height - 25);
	}
	}

	// Draw axes
	ctx.strokeStyle = 'rgba(200, 200, 255, 0.5)';
	ctx.lineWidth = 1;

	// X axis
	ctx.beginPath();
	ctx.moveTo(0, height - 30);
	ctx.lineTo(width, height - 30);
	ctx.stroke();

	// Y axis
	ctx.beginPath();
	ctx.moveTo(0, 0);
	ctx.lineTo(0, height - 30);
	ctx.stroke();

	// Y axis label
	ctx.save();
	ctx.translate(15, height / 2);
	ctx.rotate(-Math.PI / 2);
	ctx.fillStyle = 'rgba(200, 200, 255, 0.8)';
	ctx.font = '12px Arial';
	ctx.textAlign = 'center';
	ctx.fillText('Counts', 0, 0);
	ctx.restore();

	// X axis label
	ctx.fillStyle = 'rgba(200, 200, 255, 0.8)';
	ctx.font = '12px Arial';
	ctx.textAlign = 'center';
	ctx.textBaseline = 'top';
	ctx.fillText('Measurement Outcomes', width / 2, height - 10);
	}

	// Draw state evolution visualization
	function drawEvolution() {
	const ctx = contexts.evolution;
	const width = canvases.evolution.width;
	const height = canvases.evolution.height;

	ctx.clearRect(0, 0, width, height);

	// Create gradient background
	const gradient = ctx.createRadialGradient(width / 2, height / 2, 0, width / 2, height / 2, height / 2);
	gradient.addColorStop(0, 'rgba(10, 20, 40, 0.8)');
	gradient.addColorStop(1, 'rgba(0, 5, 20, 0.8)');

	ctx.fillStyle = gradient;
	ctx.fillRect(0, 0, width, height);

	// Draw evolution effect
	const time = Date.now() / 1000;
	const centerX = width / 2;
	const centerY = height / 2;

	// Draw quantum state amplitudes
	const stateCount = Math.pow(2, state.qubits);
	const radius = Math.min(width, height) * 0.35;

	for (let i = 0; i < stateCount; i++) {
	const angle = (i / stateCount) * Math.PI * 2;
	const x = centerX + Math.cos(angle) * radius;
	const y = centerY + Math.sin(angle) * radius;

	// Amplitude visualization
	const amplitude = 0.3 + 0.7 * Math.abs(Math.sin(time + i * 0.7));

	// State vector
	ctx.strokeStyle = `rgba(100, 200, 255, ${amplitude * 0.7})`;
	ctx.lineWidth = 2;

	ctx.beginPath();
	ctx.moveTo(centerX, centerY);
	ctx.lineTo(x, y);
	ctx.stroke();

	// Amplitude point
	ctx.fillStyle = `rgba(150, 220, 255, ${amplitude})`;
	ctx.beginPath();
	ctx.arc(x, y, 5 + amplitude * 3, 0, Math.PI * 2);
	ctx.fill();

	// State label
	const bitString = i.toString(2).padStart(state.qubits, '0');
	ctx.fillStyle = 'rgba(255, 255, 255, 0.7)';
	ctx.font = '10px Arial';
	ctx.textAlign = 'center';
	ctx.textBaseline = 'middle';

	const textX = centerX + Math.cos(angle) * (radius + 15);
	const textY = centerY + Math.sin(angle) * (radius + 15);
	ctx.fillText(bitString, textX, textY);
	}

	// Draw environment influence (adaptive effects)
	const envInfluence = Math.sin(time * 0.5) * 0.5 + 0.5;

	// Draw interference pattern
	ctx.strokeStyle = `rgba(100, 255, 200, ${0.1 + envInfluence * 0.2})`;
	ctx.lineWidth = 1;

	for (let i = 0; i < stateCount; i++) {
	const angle1 = (i / stateCount) * Math.PI * 2;
	const x1 = centerX + Math.cos(angle1) * radius;
	const y1 = centerY + Math.sin(angle1) * radius;

	for (let j = i + 1; j < stateCount; j++) {
	// Only connect interfering states
	if ((i ^ j) & 1) {
	const angle2 = (j / stateCount) * Math.PI * 2;
	const x2 = centerX + Math.cos(angle2) * radius;
	const y2 = centerY + Math.sin(angle2) * radius;

	// Draw interference line
	ctx.beginPath();
	ctx.moveTo(x1, y1);
	ctx.lineTo(x2, y2);
	ctx.stroke();
	}
	}
	}

	// Draw holographic projection
	ctx.fillStyle = `rgba(100, 200, 255, ${0.05 + envInfluence * 0.1})`;

	for (let i = 0; i < 3; i++) {
	const projRadius = radius * (0.5 + i * 0.2);

	ctx.beginPath();
	ctx.arc(centerX, centerY, projRadius, 0, Math.PI * 2);
	ctx.fill();
	}

	// Update metrics based on time
	const fidelity = 0.5 + 0.3 * Math.sin(time * 0.3);
	const entropy = 1 + 0.3 * Math.cos(time * 0.7);
	const entanglement = 0.7 + 0.2 * Math.sin(time * 0.5);
	const coherence = 0.5 + 0.2 * Math.cos(time * 0.4);

	// Update metrics display
	document.getElementById('fidelity-value').textContent = fidelity.toFixed(2);
	document.getElementById('entropy-value').textContent = entropy.toFixed(2);
	document.getElementById('entanglement-value').textContent = entanglement.toFixed(2);
	document.getElementById('coherence-value').textContent = coherence.toFixed(2);
	}

	// Initialize multiplayer functionality
	function initMultiplayer() {
	// Get client info
	clientId = room.party.client.id;
	username = room.party.client.username;

	// Setup message handler
	room.onmessage = (event) => {
	const data = event.data;
	switch (data.type) {
	case "connected":
	addUserToList(data.clientId, data.username);
	addSystemMessage(`${data.username} joined the simulation`);
	break;
	case "disconnected":
	removeUserFromList(data.clientId);
	removeCursor(data.clientId);
	addSystemMessage(`${data.username} left the simulation`);
	break;
	case "chat":
	addChatMessage(data.username, data.message);
	break;
	case "cursor_move":
	updateCursor(data.clientId, data.x, data.y, data.username);
	break;
	case "parameter_change":
	handleParameterChange(data.parameter, data.value, data.username);
	break;
	case "run_circuit":
	handleRunCircuit(data.username);
	break;
	case "update_env":
	handleUpdateEnv(data.username);
	break;
	case "run_analysis":
	handleRunAnalysis(data.username);
	break;
	}
	};

	// Listen for mouse movement to broadcast cursor position
	document.addEventListener('mousemove', (e) => {
	const now = Date.now();
	if (now - lastCursorUpdate > 50) { // Limit updates to every 50ms
	lastCursorUpdate = now;
	room.send({
	type: "cursor_move",
	x: e.clientX,
	y: e.clientY
	});
	}
	});

	// Setup chat functionality
	document.getElementById('chat-send').addEventListener('click', sendChatMessage);
	document.getElementById('chat-input').addEventListener('keypress', (e) => {
	if (e.key === 'Enter') {
	sendChatMessage();
	}
	});

	// Update existing button handlers to broadcast events
	document.getElementById('run-circuit').addEventListener('click', function() {
	// Existing handler code
	drawCircuit();
	setTimeout(() => {
	drawHistogram();
	drawEvolution();
	}, 500);

	// Broadcast the event
	room.send({
	type: "run_circuit"
	});
	});

	document.getElementById('update-env').addEventListener('click', function() {
	// Existing handler code
	drawEnvironment();
	setTimeout(() => {
	drawEvolution();
	}, 500);

	// Broadcast the event
	room.send({
	type: "update_env"
	});
	});

	document.getElementById('run-analysis').addEventListener('click', function() {
	// Existing handler code
	drawCircuit();
	setTimeout(() => {
	drawEnvironment();
	setTimeout(() => {
	drawHistogram();
	setTimeout(() => {
	drawEvolution();
	}, 300);
	}, 300);
	}, 300);

	// Broadcast the event
	room.send({
	type: "run_analysis"
	});
	});

	// Update input handlers to broadcast parameter changes
	const parameterInputs = [
	'num-qubits', 'num-shots', 'time-const',
	'space-scale', 'mass-value', 'dimension-num'
	];

	parameterInputs.forEach(inputId => {
	const inputElement = document.getElementById(inputId);

	// Store original event handler
	const originalHandler = inputElement.onchange;

	// Add new handler that broadcasts changes
	inputElement.addEventListener('change', function(e) {
	// Call original handler if it exists
	if (originalHandler) originalHandler(e);

	// Broadcast parameter change
	room.send({
	type: "parameter_change",
	parameter: inputId,
	value: parseInt(e.target.value)
	});
	});
	});

	// Initialize users list
	updateUsersList();
	}

	// Add user to the connected users list
	function addUserToList(userId, userName) {
	if (!userColors[userId]) {
	// Assign a random color for this user
	const hue = Math.floor(Math.random() * 360);
	userColors[userId] = `hsl(${hue}, 70%, 60%)`;
	}

	updateUsersList();
	}

	// Remove user from the connected users list
	function removeUserFromList(userId) {
	updateUsersList();
	}

	// Update the entire users list
	function updateUsersList() {
	const usersContainer = document.getElementById('users-container');
	usersContainer.innerHTML = '';

	for (const clientId in room.party.peers) {
	const { username } = room.party.peers[clientId];
	const color = userColors[clientId] \|\| 'hsl(200, 70%, 60%)';

	const userDiv = document.createElement('div');
	userDiv.className = 'user-container';

	const userAvatar = document.createElement('div');
	userAvatar.className = 'user-avatar';
	userAvatar.style.backgroundColor = color;

	const userNameSpan = document.createElement('span');
	userNameSpan.textContent = username;

	userDiv.appendChild(userAvatar);
	userDiv.appendChild(userNameSpan);
	usersContainer.appendChild(userDiv);
	}
	}

	// Update cursor position for a specific user
	function updateCursor(userId, x, y, userName) {
	// Don't show the current user's cursor
	if (userId === clientId) return;

	let cursor = cursors[userId];
	if (!cursor) {
	// Create cursor element if it doesn't exist
	cursor = document.createElement('div');
	cursor.className = 'user-cursor';

	const pointer = document.createElement('div');
	pointer.className = 'cursor-pointer';

	const label = document.createElement('div');
	label.className = 'cursor-label';
	label.textContent = userName;

	cursor.appendChild(pointer);
	cursor.appendChild(label);
	document.body.appendChild(cursor);

	cursors[userId] = cursor;
	}

	// Get user's color or assign a new one
	if (!userColors[userId]) {
	const hue = Math.floor(Math.random() * 360);
	userColors[userId] = `hsl(${hue}, 70%, 60%)`;
	}

	// Update cursor position and color
	cursor.style.left = `${x}px`;
	cursor.style.top = `${y}px`;
	cursor.querySelector('.cursor-pointer').style.backgroundColor = userColors[userId];
	}

	// Remove cursor for a disconnected user
	function removeCursor(userId) {
	if (cursors[userId]) {
	document.body.removeChild(cursors[userId]);
	delete cursors[userId];
	}
	}

	// Send a chat message
	function sendChatMessage() {
	const inputElement = document.getElementById('chat-input');
	const message = inputElement.value.trim();

	if (message) {
	room.send({
	type: "chat",
	message: message
	});

	addChatMessage(username, message);
	inputElement.value = '';
	}
	}

	// Add a message to the chat box
	function addChatMessage(userName, message) {
	const messagesContainer = document.getElementById('chat-messages');

	const messageDiv = document.createElement('div');
	messageDiv.className = 'message';

	const userSpan = document.createElement('span');
	userSpan.className = 'message-user';
	userSpan.textContent = `${userName}: `;

	const textSpan = document.createElement('span');
	textSpan.className = 'message-text';
	textSpan.textContent = message;

	messageDiv.appendChild(userSpan);
	messageDiv.appendChild(textSpan);
	messagesContainer.appendChild(messageDiv);

	// Auto-scroll to the bottom
	messagesContainer.scrollTop = messagesContainer.scrollHeight;
	}

	// Add a system message
	function addSystemMessage(message) {
	const messagesContainer = document.getElementById('chat-messages');

	const messageDiv = document.createElement('div');
	messageDiv.className = 'message';
	messageDiv.style.color = '#8cf';
	messageDiv.style.fontStyle = 'italic';
	messageDiv.textContent = message;

	messagesContainer.appendChild(messageDiv);
	messagesContainer.scrollTop = messagesContainer.scrollHeight;
	}

	// Handle parameter change events from other users
	function handleParameterChange(paramId, value, userName) {
	const inputElement = document.getElementById(paramId);
	if (inputElement) {
	inputElement.value = value;

	// Update the state accordingly
	if (paramId === 'num-qubits') {
	state.qubits = value;
	drawCircuit();
	drawHistogram();
	drawEvolution();
	} else if (paramId === 'num-shots') {
	state.shots = value;
	drawHistogram();
	} else if (paramId === 'time-const') {
	state.environmentParams.t = value;
	drawEnvironment();
	} else if (paramId === 'space-scale') {
	state.environmentParams.s = value;
	drawEnvironment();
	} else if (paramId === 'mass-value') {
	state.environmentParams.m = value;
	drawEnvironment();
	} else if (paramId === 'dimension-num') {
	state.environmentParams.d = value;
	drawEnvironment();
	}

	addSystemMessage(`${userName} changed ${paramId} to ${value}`);
	}
	}

	// Handle run circuit events from other users
	function handleRunCircuit(userName) {
	addSystemMessage(`${userName} ran the quantum circuit`);
	}

	// Handle update environment events from other users
	function handleUpdateEnv(userName) {
	addSystemMessage(`${userName} updated the environment`);
	}

	// Handle run analysis events from other users
	function handleRunAnalysis(userName) {
	addSystemMessage(`${userName} ran a full analysis`);
	}

	// Modify the initialize function to include multiplayer
	function initialize() {
	// Set up input event handlers
	document.getElementById('num-qubits').addEventListener('change', function(e) {
	state.qubits = parseInt(e.target.value);
	drawCircuit();
	drawHistogram();
	drawEvolution();
	});

	document.getElementById('num-shots').addEventListener('change', function(e) {
	state.shots = parseInt(e.target.value);
	drawHistogram();
	});

	document.getElementById('time-const').addEventListener('change', function(e) {
	state.environmentParams.t = parseInt(e.target.value);
	drawEnvironment();
	});

	document.getElementById('space-scale').addEventListener('change', function(e) {
	state.environmentParams.s = parseInt(e.target.value);
	drawEnvironment();
	});

	document.getElementById('mass-value').addEventListener('change', function(e) {
	state.environmentParams.m = parseInt(e.target.value);
	drawEnvironment();
	});

	document.getElementById('dimension-num').addEventListener('change', function(e) {
	state.environmentParams.d = parseInt(e.target.value);
	drawEnvironment();
	});

	// Set up button event handlers
	document.getElementById('run-circuit').addEventListener('click', function() {
	// Simulate running circuit
	drawCircuit();
	setTimeout(() => {
	drawHistogram();
	drawEvolution();
	}, 500);
	});

	document.getElementById('update-env').addEventListener('click', function() {
	// Simulate updating environment
	drawEnvironment();
	setTimeout(() => {
	drawEvolution();
	}, 500);
	});

	document.getElementById('run-analysis').addEventListener('click', function() {
	// Simulate full analysis
	drawCircuit();
	setTimeout(() => {
	drawEnvironment();
	setTimeout(() => {
	drawHistogram();
	setTimeout(() => {
	drawEvolution();
	}, 300);
	}, 300);
	}, 300);
	});

	// Initial draw
	drawCircuit();
	drawEnvironment();
	drawHistogram();
	drawEvolution();

	// Animation loop for evolution visualization
	function animate() {
	drawEvolution();
	requestAnimationFrame(animate);
	}

	animate();

	// Initialize multiplayer functionality
	initMultiplayer();
	}

	// Handle window resize
	window.addEventListener('resize', function() {
	for (const canvas of Object.values(canvases)) {
	canvas.width = canvas.clientWidth;
	canvas.height = canvas.clientHeight;
	}

	drawCircuit();
	drawEnvironment();
	drawHistogram();
	drawEvolution();
	});

	// Start the simulation
	initialize();
	</script>
	</body>
	</html>