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@pveierland
Last active January 2, 2024 00:56
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "90bd6e46-0bed-45ff-9746-10288836fca0",
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f5784122-470f-4d9b-ad1e-091b9ada0137",
"metadata": {},
"outputs": [],
"source": [
"growth_rate = 0.02\n",
"earth_utilization_current = 0.001\n",
"evaluate_years = 10_000"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "eac996b3-691b-418a-8c0f-e07d9a0474c2",
"metadata": {},
"outputs": [],
"source": [
"earth_atoms = 1.3e50\n",
"solar_system_atoms = 1.2e56\n",
"light_travel_distance_per_year = 3e8 * 86400 * 365\n",
"universe_atoms = 1e80\n",
"universe_volume = 4/3 * math.pi * 4.4e26**3\n",
"universe_atomic_density = universe_atoms / universe_volume"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "34701118-14f4-4781-a0e3-fbed14c5e90a",
"metadata": {},
"outputs": [],
"source": [
"def sphere_volume_to_radius(V):\n",
" return (3 * V / (4 * math.pi)) ** (1/3)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "17535704-6701-4b8a-9a52-3f9eb19c343a",
"metadata": {},
"outputs": [],
"source": [
"years = np.arange(evaluate_years + 1)\n",
"atoms_utilized_initial = earth_atoms * earth_utilization_current\n",
"atoms_utilized_by_year = (atoms_utilized_initial * np.power((1 + growth_rate), years))\n",
"matter_utilization_radius_by_year = sphere_volume_to_radius(atoms_utilized_by_year / universe_atomic_density)\n",
"matter_availability_radius_initial = sphere_volume_to_radius(solar_system_atoms / universe_atomic_density)\n",
"matter_availability_radius_by_year = matter_availability_radius_initial + light_travel_distance_per_year * years"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a1ea4d17-6616-4c4c-8b08-5394fa54c33d",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n",
"ax1, ax2 = axes\n",
"\n",
"ax1_years = np.s_[:1500]\n",
"ax2_years = np.s_[:5000]\n",
"\n",
"ax1.set_yscale('log')\n",
"ax1.plot(years[ax1_years], matter_utilization_radius_by_year[ax1_years], label=\"Matter radius (Utilization)\")\n",
"ax1.plot(years[ax1_years], matter_availability_radius_by_year[ax1_years], label=\"Matter radius (Availability)\")\n",
"ax1.set_xlabel(\"Years in future\")\n",
"ax1.set_ylabel(\"Meters\")\n",
"ax1.legend(loc=\"upper left\")\n",
"ax1.title.set_text('Matter utilization vs availability (at light speed)')\n",
"\n",
"ax2.set_yscale('log')\n",
"ax2.plot(years[ax2_years], atoms_utilized_by_year[ax2_years], label=\"Atoms (Utilization)\")\n",
"ax2.axhline(y=universe_atoms, color='r', linestyle='-')\n",
"ax2.set_xlabel(\"Years in future\")\n",
"ax2.set_ylabel(\"Atoms\")\n",
"ax2.legend(loc=\"upper left\")\n",
"ax2.title.set_text(\"Matter utilization vs availability (total)\")\n",
"\n",
"fig.tight_layout()\n",
"plt.suptitle(\n",
" f\"Assuming: Humans utilize {earth_utilization_current*100:.1f}% of Earth's matter (2024) and \"\n",
" f\"matter utilization grows annually at {growth_rate*100:.1f}%.\\n\"\n",
" \"Left plot shows radius of utilized space at average atomic density vs estimated available space,\\n\"\n",
" \"starting with the matter available in solar system at year 0, and growing at light speed.\\n\"\n",
" \"Right plot shows utilized matter vs estimated matter available in observable universe.\",\n",
" y=0.0,\n",
" fontsize=10,\n",
")\n",
"plt.savefig('growth.png', dpi=600, bbox_inches = \"tight\")\n",
"plt.show()"
]
}
],
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