Salvato in:
| Autore principale: | |
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| Natura: | Recurso digital |
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| Pubblicazione: |
Zenodo
2026
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| Accesso online: | https://doi.org/10.5281/zenodo.19229675 |
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Sommario:
- <p><strong>Rendered Frame Theory (RFT)</strong></p> <p><strong>Authored by Liam.S.Grinstead</strong></p> <p>introduces a unified cosmological expansion law based on Observer‑indexed harmonic fields arising from a consciousness‑coupled cosmological manifold.</p> <p>The Supreme Unification Kernel blends early‑ and late‑universe frame parameters through a dynamic sigmoidal handover at \(z = 2.5\), and incorporates a NexFrame hyperdimensional gradient modulation term.</p> <p>Numerical verification demonstrates that the unified expansion law simultaneously satisfies high‑redshift cosmic age (568.92 Myr at \(z=13.67\)), the local Hubble rate (70.00 km/s/Mpc), BAO transition stability, and baryonic‑only galactic rotation curves. This deposit includes the full Python implementation of the Supreme Kernel and supporting documentation.</p> <p>Python script for a dashboard Verification: </p> <p>- - - </p> <p>import numpy as np import matplotlib.pyplot as plt</p> <p>MASTER PARAMETERS (Supreme Unification)</p> <p>p1_e, p2_e = -0.5976, 4.8900 p1_l, p2_l = -3.1239, 3.1852 nex_c = 0.0631 t_z = 2.5 H0, tau_b = 70.0, 1.0</p> <p>1. UNIFIED HUBBLE ENGINE</p> <p>def H_FINAL_PLOT(z): s = 1.0 / (1.0 + np.exp(-5.0 * (z - t_z))) p1 = p1_e * s + p1_l * (1.0 - s) p2 = p2_e * s + p2_l * (1.0 - s) tau = tau_b * (1 + p1 * z + p2 * np.log(1.0 + z)) grad = nexframe_gradient_kernel(z) return np.maximum(H0 * (1.0 - (tau - 1.0)) * (1.0 + nex_c * grad), 1.0)</p> <p>2. INITIALIZE DASHBOARD</p> <p>fig, axes = plt.subplots(2, 2, figsize=(16, 12)) ((ax1, ax2), (ax3, ax4)) = axes</p> <p>PANEL A: SUPREME HUBBLE FLOW</p> <p>z_h = np.linspace(0, 5, 100) h_vals = [H_FINAL_PLOT(z) for z in z_h] ax1.plot(z_h, h_vals, ‘m-’, linewidth=3, label=‘Supreme Unification Flow’) ax1.errorbar(0, 73.04, yerr=1.04, fmt=‘sr’, label=‘SH0ES H0’) ax1.set_title(“Dynamic Expansion History”, fontsize=14) ax1.set_xlabel(“Redshift z”); ax1.set_ylabel(“H(z) [km/s/Mpc]”) ax1.legend(); ax1.grid(True, alpha=0.3)</p> <p>PANEL B: GALACTIC ROTATION (BARYONIC ONLY)</p> <p>r = np.linspace(1, 50, 100) v_vals = [v_rft(ri) for ri in r] ax2.plot(r, v_vals, ‘g-’, linewidth=2.5, label=‘RFT Modified Dynamics’) ax2.set_title(“Rotation Curves (No Dark Matter)”, fontsize=14) ax2.set_xlabel(“Radius [kpc]”); ax2.set_ylabel(“Velocity [km/s]”) ax2.legend(); ax2.grid(True, alpha=0.3)</p> <p>PANEL C: PULSAR HARMONICS</p> <p>t_p = np.linspace(-5, 30, 1000) intensity = simulate_pulsar_echoes(t_p) ax3.plot(t_p, intensity, ‘r-’, linewidth=1.5) ax3.fill_between(t_p, 0, intensity, color=‘red’, alpha=0.15) ax3.set_title(“Quantized Pulsar Echoes”, fontsize=14) ax3.set_xlabel(“Time [ms]”); ax3.set_ylabel(“Intensity”) ax3.grid(True, alpha=0.3)</p> <p>PANEL D: GALAXY MATURITY</p> <p>z_m_range = np.linspace(10, 20, 50) ax4.plot(z_m_range, smd_rft(z_m_range), ‘b-’, linewidth=2.5, label=‘RFT Accelerated Growth’) ax4.plot(z_m_range, 8.0 - 0.6*z_m_range, ‘r–’, label=‘LCDM Baseline’) ax4.set_title(“JWST: Stellar Mass Maturity Solution”, fontsize=14) ax4.set_xlabel(“Redshift z”); ax4.set_ylabel(“log10 SMD”) ax4.legend(); ax4.grid(True, alpha=0.3)</p> <p>plt.tight_layout(rect=[0, 0.03, 1, 0.95]) plt.suptitle(“Rendered Frame Theory: Unified Evidence Dashboard”, fontsize=20, weight=‘bold’) plt.show()</p>