{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "code", "execution_count": 18, "metadata": { "id": "WqaoKE5aLtf-" }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "steps = 400\n", "\n", "I = np.zeros(steps) # interpretive capacity\n", "S = np.zeros(steps) # structure\n", "E = np.zeros(steps) # entropy\n", "C = np.zeros(steps) # coherence\n", "\n", "noise_strength = 0.3\n", "\n", "for t in range(1, steps):\n", "\n", " # entropy influx\n", " E[t] = np.random.normal(0.2, noise_strength)\n", "\n", " # interpretation grows\n", " I[t] = I[t-1] + np.random.normal(0.25, 0.05)\n", "\n", " # structure formation depends on interpretation\n", " S[t] = S[t-1] + 0.3 * I[t] - E[t]\n", "\n", " # coherence definition\n", " C[t] = I[t] + S[t] - E[t]" ] }, { "cell_type": "code", "metadata": { "id": "5b95a497" }, "source": [ "import pandas as pd\n", "\n", "df = pd.DataFrame({\n", " \"entropy_strength\": entropy_levels,\n", " \"final_coherence\": final_coherence\n", "})\n", "\n", "df.to_csv(\"coherence_phase_results.csv\", index=False)" ], "execution_count": 24, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "084bb441" }, "source": [ "dI = np.gradient(I)\n", "dS = np.gradient(S)\n", "dE = np.gradient(E)\n", "dC = np.gradient(C)" ], "execution_count": 19, "outputs": [] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 310 }, "id": "f1aad06c", "outputId": "28fd10d7-c3fc-428e-a31d-db4e79ede505" }, "source": [ "plt.figure(figsize=(12,5))\n", "plt.plot(C,label=\"Coherence\")\n", "plt.plot(I,label=\"Interpretation\")\n", "plt.plot(S,label=\"Structure\")\n", "plt.plot(E,label=\"Entropy\")\n", "plt.legend()\n", "plt.title(\"System Dynamics\")\n", "plt.show()" ], "execution_count": 20, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 310 }, "id": "519076fd", "outputId": "ad05fb92-4147-482a-8cee-da92914793fa" }, "source": [ "condition = (dI > 0) & (dS > 0) & (dE <= dI)\n", "\n", "plt.figure(figsize=(12,5))\n", "plt.plot(C,label=\"Coherence\")\n", "\n", "for t in range(len(condition)):\n", " if condition[t]:\n", " plt.scatter(t,C[t],color=\"red\",s=5)\n", "\n", "plt.title(\"Coherence Growth Under Generative Conditions\")\n", "plt.legend()\n", "plt.show()" ], "execution_count": 21, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "code", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 472 }, "id": "f384d13a", "outputId": "c5b458df-6e31-486a-95a6-7255ad97493b" }, "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "steps = 300\n", "entropy_levels = np.linspace(0,1.5,40)\n", "\n", "final_coherence = []\n", "\n", "for entropy_strength in entropy_levels:\n", "\n", " I = 0\n", " S = 0\n", " C = 0\n", "\n", " for t in range(steps):\n", "\n", " entropy = np.random.normal(entropy_strength,0.1)\n", " interpretation = np.random.normal(0.3,0.05)\n", "\n", " I += interpretation\n", " S += 0.3*I - entropy\n", "\n", " C = I + S - entropy\n", "\n", " final_coherence.append(C)\n", "\n", "plt.plot(entropy_levels,final_coherence)\n", "plt.xlabel(\"Entropy Strength\")\n", "plt.ylabel(\"Final Coherence\")\n", "plt.title(\"Phase Transition of Coherence Under Entropy Pressure\")\n", "plt.savefig(\"coherence_phase_transition.png\", dpi=300)\n", "plt.show()" ], "execution_count": 23, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" 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