Articles for tag: life, existence, evolution, alternative, adventure, exploration

18 May 2024

Upsetting Drake – with the SETI Complexity Equation

In the grand cosmic saga of life in the universe, the Drake equation has long stood as a guiding light for those seeking to understand the prevalence of extraterrestrial intelligence. This elegant mathematical formula, conceived by astronomer Frank Drake in 1961, has captured the imaginations of scientists and dreamers alike, offering a tantalising framework for ...

12 December 2021

Humanities Psychology & Philosophy

Comfortably unbound

What happens when you – meaning me – breaks all rules and imperatives of bonds? What the devil am I talking about!? The bonds are those rules that say what we ought to do and be – to appear normal – and be part of the ‘herd’. Departing from the rules given to the herd, ...

4 February 2021

Humanities Psychology & Philosophy

Schrödinger’s microwave!

Some will have heard of Schrödinger’s Cat and some will not have heard of it. Those who have not heard of it may reach for Google or YouTube – but they may be too dim to understand any of that. Oooo.. how condescending! You can’t speak reality these days on social media without infantilising, insulting, ...

For those who want to spend their life understanding

The Analysis Tool (also called REPL) – is JavaScript code used by Claude.ai to perform the thermal calculations and generate the data. This was invoked using the repl command.

React Component – This is the visualization code Claude.ai created as an artifact using React and the Recharts library to display the temperature profiles. This was created with the identifier “temp-profile” and used the artifact type “application/vnd.ant.react”.

It now all makes perfect sense – right? 🤣😂

import React from 'react';
import { LineChart, Line, XAxis, YAxis, CartesianGrid, Tooltip, Legend, ResponsiveContainer } from 'recharts';

const TempProfile = () => {
  const [data, setData] = React.useState([]);

  React.useEffect(() => {
    // Using properties from Table 3
    const albumenFraction = 0.58;
    const shellFraction = 0.11;
    const yolkFraction = 1 - albumenFraction - shellFraction;
    
    const avgSpecificHeat = 
        albumenFraction * 3935 +
        yolkFraction * 3266 +
        shellFraction * 888;
    
    const eggMass = 0.06;
    const eggRadius = 0.025;
    const eggSurfaceArea = 4 * Math.PI * Math.pow(eggRadius, 2);
    
    const timePoints = [];
    const fridgeTemps = [];
    const eggTemps = [];
    const timeStep = 1;
    const totalTime = 7 * 60;
    
    for (let t = 0; t <= totalTime; t += timeStep) {
      let fridgeTemp;
      if (t <= 20) {
        fridgeTemp = 4 + (10 - 4) * (t / 20);
      } else {
        fridgeTemp = 4 + (10 - 4) * Math.exp(-0.01 * (t - 20));
      }
      
      const h = 10;
      const tempDiff = fridgeTemp - (eggTemps.length > 0 ? eggTemps[eggTemps.length - 1] : 4);
      const heatTransfer = h * eggSurfaceArea * tempDiff * timeStep;
      const tempChange = heatTransfer / (eggMass * avgSpecificHeat);
      
      const newEggTemp = (eggTemps.length > 0 ? eggTemps[eggTemps.length - 1] : 4) + tempChange;
      
      timePoints.push(t);
      fridgeTemps.push(fridgeTemp);
      eggTemps.push(newEggTemp);
    }
    
    const chartData = timePoints.map((t, i) => ({
      time: Math.round(t / 60 * 10) / 10,  // Convert to minutes with 1 decimal
      fridgeTemp: Math.round(fridgeTemps[i] * 1000) / 1000,
      eggTemp: Math.round(eggTemps[i] * 1000) / 1000
    }));
    
    // Sample every 3rd point to reduce data size
    setData(chartData.filter((_, i) => i % 3 === 0));
  }, []);

  return (
    <div className="w-full h-96 p-4">
      <ResponsiveContainer width="100%" height="100%">
        <LineChart data={data}>
          <CartesianGrid strokeDasharray="3 3" />
          <XAxis 
            label={{ value: 'Time (minutes)', position: 'bottom', offset: 0 }}
            dataKey="time"
          />
          <YAxis
            label={{ value: 'Temperature (°C)', angle: -90, position: 'insideLeft' }}
            domain={[3, 11]}
          />
          <Tooltip />
          <Legend />
          <Line 
            type="monotone" 
            dataKey="fridgeTemp" 
            stroke="#8884d8" 
            name="Fridge Temperature"
            dot={false}
          />
          <Line 
            type="monotone" 
            dataKey="eggTemp" 
            stroke="#82ca9d" 
            name="Egg Temperature"
            dot={false}
          />
        </LineChart>
      </ResponsiveContainer>
    </div>
  );
};

export default TempProfile;