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<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Quantum State Explorer</title>
<script src="https://cdn.tailwindcss.com"></script>
<script src="https://unpkg.com/feather-icons"></script>
<script src="https://cdn.jsdelivr.net/npm/vanta@latest/dist/vanta.globe.min.js"></script>
<script src="https://cdn.jsdelivr.net/npm/three@0.121.1/build/three.min.js"></script>
<style>
.quantum-orb {
transition: all 0.5s ease;
}
.particle-path {
stroke-dasharray: 1000;
stroke-dashoffset: 1000;
animation: dash 5s linear forwards infinite;
}
@keyframes dash {
to {
stroke-dashoffset: 0;
}
}
.wave-function {
background: linear-gradient(90deg, rgba(255,255,255,0) 0%, rgba(124,58,237,0.5) 50%, rgba(255,255,255,0) 100%);
height: 2px;
width: 100%;
position: absolute;
bottom: 0;
animation: pulse 3s ease-in-out infinite;
}
@keyframes pulse {
0%, 100% { opacity: 0.3; }
50% { opacity: 1; }
}
</style>
</head>
<body class="bg-gray-900 text-white min-h-screen overflow-x-hidden" id="vanta-bg">
<div class="container mx-auto px-4 py-12">
<header class="text-center mb-16">
<h1 class="text-5xl md:text-6xl font-bold mb-4 bg-clip-text text-transparent bg-gradient-to-r from-purple-400 to-pink-600">
Quantum State Explorer
</h1>
<p class="text-xl md:text-2xl text-gray-300 max-w-3xl mx-auto">
Visualize and explore the mysterious quantum states of subatomic particles
</p>
</header>
<main class="grid grid-cols-1 lg:grid-cols-2 gap-12">
<div class="bg-gray-800 rounded-2xl p-8 shadow-2xl relative overflow-hidden">
<div class="wave-function"></div>
<h2 class="text-3xl font-bold mb-6 text-purple-300">Particle State Generator</h2>
<div class="mb-8">
<label class="block text-gray-300 mb-2">Select Particle Type</label>
<div class="grid grid-cols-4 gap-2 mb-4">
<button class="particle-btn bg-purple-900 hover:bg-purple-700 text-white py-3 px-4 rounded-lg transition" data-particle="electron">
<i data-feather="zap" class="inline mr-2"></i> Electron
</button>
<button class="particle-btn bg-blue-900 hover:bg-blue-700 text-white py-3 px-4 rounded-lg transition" data-particle="photon">
<i data-feather="sun" class="inline mr-2"></i> Photon
</button>
<button class="particle-btn bg-pink-900 hover:bg-pink-700 text-white py-3 px-4 rounded-lg transition" data-particle="quark">
<i data-feather="activity" class="inline mr-2"></i> Quark
</button>
<button class="particle-btn bg-green-900 hover:bg-green-700 text-white py-3 px-4 rounded-lg transition" data-particle="ion">
<i data-feather="atom" class="inline mr-2"></i> Ion
</button>
</div>
</div>
<div class="mb-8">
<label class="block text-gray-300 mb-2">Quantum State Parameters</label>
<div class="space-y-4">
<div>
<div class="flex justify-between text-gray-400 mb-1">
<label>Superposition</label>
<span id="superposition-value">50%</span>
</div>
<input type="range" min="0" max="100" step="5" value="50" class="w-full h-2 bg-gray-700 rounded-lg appearance-none cursor-pointer" id="superposition">
<div class="text-xs text-gray-500 mt-1">
<span>Collapsed</span>
<span class="float-right">Superposed</span>
</div>
</div>
<div>
<div class="flex justify-between text-gray-400 mb-1">
<label>Entanglement</label>
<span id="entanglement-value">25%</span>
</div>
<input type="range" min="0" max="100" step="5" value="25" class="w-full h-2 bg-gray-700 rounded-lg appearance-none cursor-pointer" id="entanglement">
<div class="text-xs text-gray-500 mt-1">
<span>Independent</span>
<span class="float-right">Entangled</span>
</div>
</div>
<div>
<label class="text-gray-400">Spin</label>
<div class="flex space-x-4">
<button class="spin-btn bg-gray-700 hover:bg-gray-600 text-white py-2 px-4 rounded-lg transition" data-spin="up">↑ Up</button>
<button class="spin-btn bg-gray-700 hover:bg-gray-600 text-white py-2 px-4 rounded-lg transition" data-spin="down">↓ Down</button>
<button class="spin-btn bg-gray-700 hover:bg-gray-600 text-white py-2 px-4 rounded-lg transition" data-spin="super">🌀 Superposition</button>
</div>
</div>
</div>
</div>
<div class="grid grid-cols-2 gap-4">
<button id="generate-btn" class="bg-gradient-to-r from-purple-600 to-pink-600 hover:from-purple-700 hover:to-pink-700 text-white font-bold py-4 px-6 rounded-lg shadow-lg transition-all transform hover:scale-105">
Generate Quantum State
</button>
<button id="analyze-btn" class="bg-gradient-to-r from-blue-600 to-indigo-600 hover:from-blue-700 hover:to-indigo-700 text-white font-bold py-4 px-6 rounded-lg shadow-lg transition-all transform hover:scale-105">
Analyze State
</button>
</div>
</div>
<div class="bg-gray-800 rounded-2xl p-8 shadow-2xl relative overflow-hidden min-h-[500px] flex items-center justify-center">
<div class="wave-function"></div>
<h2 class="text-3xl font-bold mb-6 text-purple-300 absolute top-8 left-8">Visualization</h2>
<div id="visualization-container" class="w-full h-full flex items-center justify-center">
<div class="text-center">
<svg width="300" height="300" viewBox="0 0 300 300" id="quantum-visualization">
<circle cx="150" cy="150" r="30" fill="url(#particle-gradient)" class="quantum-orb" opacity="0" />
<path d="M150,50 A100,100 0 0,1 250,150 A100,100 0 0,1 150,250 A100,100 0 0,1 50,150 A100,100 0 0,1 150,50"
fill="none" stroke="rgba(124, 58, 237, 0.2)" stroke-width="2" class="particle-path" />
<defs>
<radialGradient id="particle-gradient" cx="50%" cy="50%" r="50%" fx="50%" fy="50%">
<stop offset="0%" stop-color="#8B5CF6" />
<stop offset="100%" stop-color="#EC4899" />
</radialGradient>
</defs>
</svg>
<div id="state-description" class="mt-8 text-gray-300 text-lg">
<p>Select a particle and adjust parameters to see its quantum state</p>
</div>
<div id="state-equation" class="mt-4 text-xl font-mono bg-gray-900 p-4 rounded-lg hidden">
|ψ⟩ = <span id="equation-content"></span>
</div>
</div>
</div>
</div>
</main>
<section class="mt-24 bg-gray-800 rounded-2xl p-8 shadow-2xl">
<h2 class="text-3xl font-bold mb-6 text-purple-300">Quantum Mechanics Basics</h2>
<div class="grid md:grid-cols-3 gap-8">
<div class="bg-gray-700 p-6 rounded-lg">
<i data-feather="box" class="text-purple-400 w-8 h-8 mb-4"></i>
<h3 class="text-xl font-bold mb-2">Wave-Particle Duality</h3>
<p class="text-gray-300">Quantum entities exhibit both particle-like and wave-like properties depending on how they're observed.</p>
</div>
<div class="bg-gray-700 p-6 rounded-lg">
<i data-feather="git-merge" class="text-purple-400 w-8 h-8 mb-4"></i>
<h3 class="text-xl font-bold mb-2">Superposition</h3>
<p class="text-gray-300">A quantum system can exist in multiple states simultaneously until measured or observed.</p>
</div>
<div class="bg-gray-700 p-6 rounded-lg">
<i data-feather="link" class="text-purple-400 w-8 h-8 mb-4"></i>
<h3 class="text-xl font-bold mb-2">Entanglement</h3>
<p class="text-gray-300">When particles become entangled, the state of one instantly influences the state of the other, regardless of distance.</p>
</div>
</div>
</section>
<footer class="mt-24 text-center text-gray-400 pb-12">
<p>Explore the quantum realm at your own risk! Schrödinger's cat not included.</p>
<p class="mt-2">© 2023 Quantum State Explorer | Built with quantum magic</p>
</footer>
</div>
<script>
// Initialize Vanta.js background
VANTA.GLOBE({
el: "#vanta-bg",
mouseControls: true,
touchControls: true,
gyroControls: false,
minHeight: 200.00,
minWidth: 200.00,
scale: 1.00,
scaleMobile: 1.00,
color: 0x7c3aed,
backgroundColor: 0x111827,
size: 0.8
});
// Particle data
const particles = {
electron: {
name: "Electron",
color: "#8B5CF6",
description: "A fundamental subatomic particle with negative charge.",
states: ["Spin Up", "Spin Down", "Superposition"]
},
photon: {
name: "Photon",
color: "#3B82F6",
description: "A quantum of electromagnetic radiation exhibiting wave-particle duality.",
states: ["Vertical Polarization", "Horizontal Polarization", "Circular Polarization"]
},
quark: {
name: "Quark",
color: "#EC4899",
description: "An elementary particle that combines to form hadrons like protons and neutrons.",
states: ["Up", "Down", "Strange", "Charm", "Bottom", "Top"]
},
ion: {
name: "Ion",
color: "#10B981",
description: "An atom or molecule with a net electric charge due to loss or gain of electrons.",
states: ["Ground State", "Excited State", "Rydberg State"]
}
};
// Current state
let currentParticle = null;
let currentSuperposition = 50;
let currentEntanglement = 25;
let currentSpin = "super";
let analyzing = false;
// DOM elements
const particleBtns = document.querySelectorAll('.particle-btn');
const spinBtns = document.querySelectorAll('.spin-btn');
const generateBtn = document.getElementById('generate-btn');
const superpositionSlider = document.getElementById('superposition');
const entanglementSlider = document.getElementById('entanglement');
const visualizationContainer = document.getElementById('visualization-container');
const stateDescription = document.getElementById('state-description');
const stateEquation = document.getElementById('state-equation');
const equationContent = document.getElementById('equation-content');
const quantumOrb = document.querySelector('.quantum-orb');
const svg = document.getElementById('quantum-visualization');
// Event listeners
particleBtns.forEach(btn => {
btn.addEventListener('click', () => {
particleBtns.forEach(b => b.classList.remove('ring-2', 'ring-white'));
btn.classList.add('ring-2', 'ring-white');
currentParticle = btn.dataset.particle;
updateVisualization();
});
});
spinBtns.forEach(btn => {
btn.addEventListener('click', () => {
spinBtns.forEach(b => b.classList.remove('ring-2', 'ring-white'));
btn.classList.add('ring-2', 'ring-white');
currentSpin = btn.dataset.spin;
updateVisualization();
});
});
superpositionSlider.addEventListener('input', () => {
currentSuperposition = superpositionSlider.value;
document.getElementById('superposition-value').textContent = `${currentSuperposition}%`;
updateVisualization();
});
entanglementSlider.addEventListener('input', () => {
currentEntanglement = entanglementSlider.value;
document.getElementById('entanglement-value').textContent = `${currentEntanglement}%`;
updateVisualization();
});
generateBtn.addEventListener('click', () => {
if (!currentParticle) {
alert("Please select a particle type first!");
return;
}
analyzing = false;
animateState();
});
document.getElementById('analyze-btn').addEventListener('click', () => {
if (!currentParticle) {
alert("Please select a particle type first!");
return;
}
analyzing = true;
analyzeState();
});
// Update visualization
function updateVisualization() {
if (!currentParticle) return;
const particle = particles[currentParticle];
// Update particle color
document.querySelector('#particle-gradient stop:first-child').setAttribute('stop-color', particle.color);
// Update description
let description = `<strong class="text-${currentParticle === 'electron' ? 'purple' : currentParticle === 'photon' ? 'blue' : 'pink'}-400">${particle.name}</strong>: ${particle.description}<br><br>`;
description += `Superposition: ${currentSuperposition}%<br>`;
description += `Entanglement: ${currentEntanglement}%<br>`;
description += `Spin: ${currentSpin === 'up' ? '↑ Up' : currentSpin === 'down' ? '↓ Down' : '🌀 Superposition'}`;
stateDescription.innerHTML = description;
stateEquation.classList.add('hidden');
}
// Analyze quantum state
function analyzeState() {
// Calculate quantum properties with physical accuracy
const wavelength = 100 + Math.random() * 700; // nm (visible light range 100-800nm)
const energy = 1240 / wavelength; // eV (E = hc/λ simplified)
currentSuperposition = Math.floor(Math.random() * 100);
currentEntanglement = Math.floor(Math.random() * 100);
currentSpin = Math.random() > 0.5 ? (Math.random() > 0.5 ? 'up' : 'down') : 'super';
// Update UI
superpositionSlider.value = currentSuperposition;
entanglementSlider.value = currentEntanglement;
document.getElementById('superposition-value').textContent = `${currentSuperposition}%`;
document.getElementById('entanglement-value').textContent = `${currentEntanglement}%`;
// Highlight selected spin
spinBtns.forEach(b => b.classList.remove('ring-2', 'ring-white'));
document.querySelector(`.spin-btn[data-spin="${currentSpin}"]`).classList.add('ring-2', 'ring-white');
// Animate with analysis effect
analyzeEffect().then(() => animateState());
}
function analyzeEffect() {
return new Promise((resolve) => {
const analysisSteps = [
"Measuring particle state...",
`Calculating wavelength: ${wavelength.toFixed(2)} nm...`,
`Calculating energy: ${energy.toFixed(2)} eV...`,
"Analyzing superposition coherence...",
"Measuring entanglement correlation...",
"Resolving spin direction...",
"Analysis complete!"
];
let i = 0;
stateDescription.innerHTML = `<div class="text-center"><div class="inline-block animate-pulse"><i data-feather="loader" class="w-8 h-8"></i></div><p class="mt-2">${analysisSteps[i]}</p></div>`;
feather.replace();
const interval = setInterval(() => {
i++;
if (i >= analysisSteps.length) {
clearInterval(interval);
resolve();
return;
}
stateDescription.innerHTML = `<div class="text-center"><div class="inline-block animate-pulse"><i data-feather="loader" class="w-8 h-8"></i></div><p class="mt-2">${analysisSteps[i]}</p></div>`;
feather.replace();
}, 800);
});
}
// Animate quantum state
function animateState() {
const particle = particles[currentParticle];
// Show quantum orb with different effect if analyzing
quantumOrb.style.opacity = '1';
if (analyzing) {
quantumOrb.style.filter = 'drop-shadow(0 0 10px rgba(59, 130, 246, 0.8))';
setTimeout(() => {
quantumOrb.style.filter = 'none';
}, 1500);
}
// Animation
anime({
targets: '.quantum-orb',
r: [10, 30, 10],
opacity: [0.5, 1, 0.8],
duration: 2000,
loop: true,
easing: 'easeInOutSine'
});
// Generate random path for particle
const paths = [];
for (let i = 0; i < 5; i++) {
const startX = 150;
const startY = 150;
const cp1x = Math.random() * 300;
const cp1y = Math.random() * 300;
const cp2x = Math.random() * 300;
const cp2y = Math.random() * 300;
const endX = 150;
const endY = 150;
paths.push(`M${startX},${startY} C${cp1x},${cp1y} ${cp2x},${cp2y} ${endX},${endY}`);
}
// Update SVG paths
const existingPaths = svg.querySelectorAll('.dynamic-path');
existingPaths.forEach(path => path.remove());
paths.forEach((path, i) => {
const newPath = document.createElementNS("http://www.w3.org/2000/svg", "path");
newPath.setAttribute("d", path);
newPath.setAttribute("fill", "none");
newPath.setAttribute("stroke", `rgba(${hexToRgb(particle.color)}, ${0.3 + (i * 0.1)})`);
newPath.setAttribute("stroke-width", "2");
newPath.setAttribute("class", "dynamic-path particle-path");
newPath.style.animationDelay = `${i * 0.5}s`;
svg.appendChild(newPath);
});
// Generate quantum state equation with more detail
let equation = '';
if (currentSpin === 'super') {
const alpha = (currentSuperposition / 100).toFixed(2);
const beta = (1 - (currentSuperposition / 100)).toFixed(2);
const phase = (energy * 0.123).toFixed(2); // Arbitrary phase factor based on energy
equation = `${alpha}|↑⟩ + ${beta}e<sup>i${phase}π</sup>|↓⟩`;
} else {
equation = currentSpin === 'up' ? '|↑⟩' : '|↓⟩';
}
// Include energy in the equation
equation += ` @ ${energy.toFixed(2)}eV`;
if (currentEntanglement > 30) {
const entanglementStrength = (currentEntanglement / 100).toFixed(2);
equation += ` ⊗ (${entanglementStrength}|00⟩ + ${Math.sqrt(1 - entanglementStrength**2).toFixed(2)}|11⟩)`;
}
equationContent.innerHTML = equation;
stateEquation.classList.remove('hidden');
// Update background and add analysis annotation if needed
const bgColor = `rgba(${hexToRgb(particle.color)}, ${currentEntanglement / 200})`;
visualizationContainer.style.backgroundColor = bgColor;
if (analyzing) {
stateDescription.innerHTML += `
<div class="mt-4 p-4 bg-gray-700 rounded-lg text-left">
<h4 class="font-bold text-blue-300 mb-2">Analysis Results</h4>
<p class="mb-1">Wavelength: <span class="text-purple-300">${wavelength.toFixed(2)} nm</span></p>
<p class="mb-1">Energy: <span class="text-blue-300">${energy.toFixed(2)} eV</span></p>
<p class="mb-1">Superposition Coherence: <span class="text-purple-300">${currentSuperposition}%</span></p>
<p class="mb-1">Entanglement Correlation: <span class="text-blue-300">${currentEntanglement}%</span></p>
<p class="mb-1">Spin State: <span class="text-pink-300">${currentSpin === 'up' ? '↑ Up' : currentSpin === 'down' ? '↓ Down' : '🌀 Superposition'}</span></p>
<div class="mt-2 text-xs text-gray-400">
<p>λ = hc/E = ${wavelength.toFixed(2)}nm</p>
<p>E = hc/λ = ${energy.toFixed(2)}eV</p>
</div>
</div>
`;
}
}
// Helper function to convert hex to rgb
function hexToRgb(hex) {
const r = parseInt(hex.slice(1, 3), 16);
const g = parseInt(hex.slice(3, 5), 16);
const b = parseInt(hex.slice(5, 7), 16);
return `${r}, ${g}, ${b}`;
}
// Initialize feather icons
feather.replace();
</script>
</body>
</html>
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