paritytech / paritytech/research

Quantum Entropy-CP Dynamics Simulation

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JavaScript
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103
Forks
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1h 25m
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Description

import React, { useState, useEffect } from ‘react’;
import { LineChart, Line, XAxis, YAxis, CartesianGrid, Tooltip, Legend, ResponsiveContainer } from ‘recharts’;
import { Play, Pause, RotateCcw, Settings } from ‘lucide-react’;

const QuantumEntropySimulation = () => {
const [isRunning, setIsRunning] = useState(false);
const [currentTime, setCurrentTime] = useState(0);
const [simulationData, setSimulationData] = useState([]);
const [parameters, setParameters] = useState({
S: 1.5,
D: 3,
N: 7146,
K0: 0.1,
omega_r0: 2 * Math.PI * 1.0,
theta_0: Math.PI / 4,
lambda_base: 0.1,
eta_base: 0.05,
kappa_base: 10.0,
R0: 1.0,
mu: 0.05,
coupling_strength: 0.01
});
const [showSettings, setShowSettings] = useState(false);

// Physics functions
const Phi = (S, D) => (S + D) / 2.0;

const tau_s = (omega_r, S, D) => (1 / omega_r) * Phi(S, D);

const mass = (S, D, K, tau) => S * Math.pow(D, 1) * Math.pow(K, 1) * Math.pow(tau, 1);

const mod_lambda = (m, N, lambda_base) => (lambda_base / (1 + 0.0001 * N)) * (1 + 0.5 / m);

const mod_eta = (m, N, eta_base) => eta_base * (1 + 0.001 * N) * (1 + 0.3 * m);

const mod_kappa = (m, N, kappa_base) => (kappa_base * (1 + 0.0005 * N)) / (1 + 0.2 * m);

const R = (t, R0, mu) => R0 * Math.exp(-mu * t);

// Runge-Kutta 4th order integration
const rungeKutta4 = (f, t, y, h) => {
const k1 = f(t, y).map(val => h * val);
const k2 = f(t + h/2, y.map((yi, i) => yi + k1[i]/2)).map(val => h * val);
const k3 = f(t + h/2, y.map((yi, i) => yi + k2[i]/2)).map(val => h * val);
const k4 = f(t + h, y.map((yi, i) => yi + k3[i])).map(val => h * val);

return y.map((yi, i) => yi + (k1[i] + 2*k2[i] + 2*k3[i] + k4[i])/6);

};

// ODE system
const odes = (t, y) => {
const [E, omega_r] = y;
const tau = tau_s(omega_r, parameters.S, parameters.D);
const m = mass(parameters.S, parameters.D, parameters.K0, tau);
const lam = mod_lambda(m, parameters.N, parameters.lambda_base);
const eta = mod_eta(m, parameters.N, parameters.eta_base);
const reservoir = R(t, parameters.R0, parameters.mu);

const dE_dt = -lam * E + eta * reservoir;
const domega_dt = -parameters.coupling_strength * E * omega_r;

return [dE_dt, domega_dt];

};

// Run simulation step
const simulationStep = () => {
if (!isRunning) return;

const dt = 0.1;
const maxTime = 50;

if (currentTime >= maxTime) {
  setIsRunning(false);
  return;
}

// Current state
const currentState = simulationData.length > 0 ? 
  [simulationData[simulationData.length - 1].E, simulationData[simulationData.length - 1].omega] :
  [1.0, parameters.omega_r0];

// Integrate one step
const newState = rungeKutta4(odes, currentTime, currentState, dt);
const [E, omega_r] = newState;

// Calculate derived quantities
const tau = tau_s(omega_r, parameters.S, parameters.D);
const m = mass(parameters.S, parameters.D, parameters.K0, tau);
const kappa = mod_kappa(m, parameters.N, parameters.kappa_base);
const theta_eff = parameters.theta_0 * Math.exp(-kappa * E);
const reservoir = R(currentTime, parameters.R0, parameters.mu);

const newDataPoint = {
  time: currentTime,
  E: E,
  omega: omega_r,
  frequency: omega_r / (2 * Math.PI),
  tau: tau,
  mass: m,
  kappa: kappa,
  theta_eff: theta_eff,
  reservoir: reservoir,
  cp_violation: Math.abs(Math.sin(theta_eff))
};

setSimulationData(prev => [...prev, newDataPoint]);
setCurrentTime(prev => prev + dt);

};

// Animation loop
useEffect(() => {
let interval;
if (isRunning) {
interval = setInterval(simulationStep, 50);
}
return () => clearInterval(interval);
}, [isRunning, currentTime, simulationData]);

const resetSimulation = () => {
setIsRunning(false);
setCurrentTime(0);
setSimulationData([]);
};

const toggleSimulation = () => {
setIsRunning(!isRunning);
};

const handleParameterChange = (param, value) => {
setParameters(prev => ({
…prev,
[param]: parseFloat(value)
}));
};

const latestData = simulationData[simulationData.length - 1];

return (

Quantum Entropy-CP Dynamics Simulation

Real-time visualization of quantum entropy evolution and CP violation dynamics 

  {/* Control Panel */}
  <div className="mb-6 flex flex-wrap gap-4 justify-center items-center bg-gray-800 p-4 rounded-lg">
    <button
      onClick={toggleSimulation}
      className={`px-6 py-2 rounded-lg font-semibold flex items-center gap-2 transition-all ${
        isRunning 
          ? 'bg-red-600 hover:bg-red-700' 
          : 'bg-green-600 hover:bg-green-700'
      }`}
    >
      {isRunning ? <Pause size={20} /> : <Play size={20} />}
      {isRunning ? 'Pause' : 'Run'}
    </button>
    
    <button
      onClick={resetSimulation}
      className="px-6 py-2 bg-gray-600 hover:bg-gray-700 rounded-lg font-semibold flex items-center gap-2 transition-all"
    >
      <RotateCcw size={20} />
      Reset
    </button>
    
    <button
      onClick={() => setShowSettings(!showSettings)}
      className="px-6 py-2 bg-blue-600 hover:bg-blue-700 rounded-lg font-semibold flex items-center gap-2 transition-all"
    >
      <Settings size={20} />
      Settings
    </button>
    
    <div className="text-sm bg-gray-700 px-3 py-1 rounded">
      Time: {currentTime.toFixed(1)}s
    </div>
    
    <div className="text-sm bg-gray-700 px-3 py-1 rounded">
      Points: {simulationData.length}
    </div>
  </div>

  {/* Parameter Settings */}
  {showSettings && (
    <div className="mb-6 bg-gray-800 p-4 rounded-lg">
      <h3 className="text-lg font-semibold mb-4">Physics Parameters</h3>
      <div className="grid grid-cols-2 md:grid-cols-4 gap-4">
        <div>
          <label className="block text-sm font-medium mb-1">S (Symmetry)</label>
          <input
            type="number"
            step="0.1"
            value={parameters.S}
            onChange={(e) => handleParameterChange('S', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">D (Dimension)</label>
          <input
            type="number"
            step="1"
            value={parameters.D}
            onChange={(e) => handleParameterChange('D', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">Coupling</label>
          <input
            type="number"
            step="0.001"
            value={parameters.coupling_strength}
            onChange={(e) => handleParameterChange('coupling_strength', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">λ Base</label>
          <input
            type="number"
            step="0.01"
            value={parameters.lambda_base}
            onChange={(e) => handleParameterChange('lambda_base', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">η Base</label>
          <input
            type="number"
            step="0.01"
            value={parameters.eta_base}
            onChange={(e) => handleParameterChange('eta_base', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">κ Base</label>
          <input
            type="number"
            step="0.1"
            value={parameters.kappa_base}
            onChange={(e) => handleParameterChange('kappa_base', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">R₀</label>
          <input
            type="number"
            step="0.1"
            value={parameters.R0}
            onChange={(e) => handleParameterChange('R0', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
        <div>
          <label className="block text-sm font-medium mb-1">μ</label>
          <input
            type="number"
            step="0.01"
            value={parameters.mu}
            onChange={(e) => handleParameterChange('mu', e.target.value)}
            className="w-full px-3 py-1 bg-gray-700 rounded border border-gray-600 focus:border-blue-500"
          />
        </div>
      </div>
    </div>
  )}

  {/* Current Values Display */}
  {latestData && (
    <div className="mb-6 grid grid-cols-2 md:grid-cols-4 gap-4">
      <div className="bg-blue-900 p-4 rounded-lg">
        <h3 className="text-sm font-medium text-blue-300">Quantum Entropy</h3>
        <p className="text-2xl font-bold text-blue-100">{latestData.E.toFixed(4)}</p>
      </div>
      <div className="bg-red-900 p-4 rounded-lg">
        <h3 className="text-sm font-medium text-red-300">Frequency (Hz)</h3>
        <p className="text-2xl font-bold text-red-100">{latestData.frequency.toFixed(4)}</p>
      </div>
      <div className="bg-green-900 p-4 rounded-lg">
        <h3 className="text-sm font-medium text-green-300">Emergent Mass</h3>
        <p className="text-2xl font-bold text-green-100">{latestData.mass.toFixed(4)}</p>
      </div>
      <div className="bg-purple-900 p-4 rounded-lg">
        <h3 className="text-sm font-medium text-purple-300">CP Violation</h3>
        <p className="text-2xl font-bold text-purple-100">{latestData.cp_violation.toFixed(4)}</p>
      </div>
    </div>
  )}

  {/* Charts */}
  <div className="grid grid-cols-1 lg:grid-cols-2 gap-6">
    {/* Entropy Evolution */}
    <div className="bg-gray-800 p-4 rounded-lg">
      <h3 className="text-lg font-semibold mb-4">Quantum Entropy Evolution</h3>
      <ResponsiveContainer width="100%" height={300}>
        <LineChart data={simulationData}>
          <CartesianGrid strokeDasharray="3 3" stroke="#374151" />
          <XAxis dataKey="time" stroke="#9CA3AF" />
          <YAxis stroke="#9CA3AF" />
          <Tooltip 
            contentStyle={{ backgroundColor: '#1F2937', border: '1px solid #374151' }}
            labelStyle={{ color: '#9CA3AF' }}
          />
          <Legend />
          <Line type="monotone" dataKey="E" stroke="#3B82F6" strokeWidth={2} dot={false} name="Entropy ε" />
        </LineChart>
      </ResponsiveContainer>
    </div>

    {/* Frequency Evolution */}
    <div className="bg-gray-800 p-4 rounded-lg">
      <h3 className="text-lg font-semibold mb-4">Rotational Frequency</h3>
      <ResponsiveContainer width="100%" height={300}>
        <LineChart data={simulationData}>
          <CartesianGrid strokeDasharray="3 3" stroke="#374151" />
          <XAxis dataKey="time" stroke="#9CA3AF" />
          <YAxis stroke="#9CA3AF" />
          <Tooltip 
            contentStyle={{ backgroundColor: '#1F2937', border: '1px solid #374151' }}
            labelStyle={{ color: '#9CA3AF' }}
          />
          <Legend />
          <Line type="monotone" dataKey="frequency" stroke="#EF4444" strokeWidth={2} dot={false} name="Frequency (Hz)" />
        </LineChart>
      </ResponsiveContainer>
    </div>

    {/* Mass Evolution */}
    <div className="bg-gray-800 p-4 rounded-lg">
      <h3 className="text-lg font-semibold mb-4">Emergent Mass</h3>
      <ResponsiveContainer width="100%" height={300}>
        <LineChart data={simulationData}>
          <CartesianGrid strokeDasharray="3 3" stroke="#374151" />
          <XAxis dataKey="time" stroke="#9CA3AF" />
          <YAxis stroke="#9CA3AF" />
          <Tooltip 
            contentStyle={{ backgroundColor: '#1F2937', border: '1px solid #374151' }}
            labelStyle={{ color: '#9CA3AF' }}
          />
          <Legend />
          <Line type="monotone" dataKey="mass" stroke="#10B981" strokeWidth={2} dot={false} name="Mass m(t)" />
        </LineChart>
      </ResponsiveContainer>
    </div>

    {/* CP Violation */}
    <div className="bg-gray-800 p-4 rounded-lg">
      <h3 className="text-lg font-semibold mb-4">CP Violation Strength</h3>
      <ResponsiveContainer width="100%" height={300}>
        <LineChart data={simulationData}>
          <CartesianGrid strokeDasharray="3 3" stroke="#374151" />
          <XAxis dataKey="time" stroke="#9CA3AF" />
          <YAxis stroke="#9CA3AF" />
          <Tooltip 
            contentStyle={{ backgroundColor: '#1F2937', border: '1px solid #374151' }}
            labelStyle={{ color: '#9CA3AF' }}
          />
          <Legend />
          <Line type="monotone" dataKey="cp_violation" stroke="#8B5CF6" strokeWidth={2} dot={false} name="|sin(θ_eff)|" />
        </LineChart>
      </ResponsiveContainer>
    </div>
  </div>

  {/* Phase Space Plot */}
  <div className="mt-6 bg-gray-800 p-4 rounded-lg">
    <h3 className="text-lg font-semibold mb-4">Phase Space Trajectory (Entropy vs Frequency)</h3>
    <ResponsiveContainer width="100%" height={400}>
      <LineChart data={simulationData}>
        <CartesianGrid strokeDasharray="3 3" stroke="#374151" />
        <XAxis dataKey="E" stroke="#9CA3AF" label={{ value: 'Entropy ε', position: 'insideBottom', offset: -5 }} />
        <YAxis dataKey="frequency" stroke="#9CA3AF" label={{ value: 'Frequency (Hz)', angle: -90, position: 'insideLeft' }} />
        <Tooltip 
          contentStyle={{ backgroundColor: '#1F2937', border: '1px solid #374151' }}
          labelStyle={{ color: '#9CA3AF' }}
          formatter={(value, name) => [value.toFixed(4), name]}
        />
        <Line type="monotone" dataKey="frequency" stroke="#F59E0B" strokeWidth={2} dot={false} name="Trajectory" />
      </LineChart>
    </ResponsiveContainer>
  </div>
</div>

);
};

export default QuantumEntropySimulation;

Contributor guide

No contributing guide indexed for this repository

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

No repository file, entry point, test, or acceptance criteria is identified. Start by locating the frontend entry point and determining where this React simulation component belongs, then clarify the expected physics behavior, controls, charts, and completion criteria before implementation.

Written by the indexing model from the issue text.

Assessment

Tech stack
javascript, react, tailwindcss
Domain
data-visualization, frontend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
15/100

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