| import numpy as np | |
| import matplotlib.pyplot as plt | |
| # PUH v25: Rebound Asymmetry Factor Sim — Dipole Amplitude vs Asymmetry Factor | |
| f_asym = np.linspace(1, 1.2, 500) # Asymmetry factor arb. | |
| dipole_amp = (f_asym - 1) * 0.01 # Amplitude toy linear | |
| plt.figure(figsize=(10,6)) | |
| plt.plot(f_asym, dipole_amp, label='Dipole Amplitude vs Asymmetry', color='cyan', lw=2) | |
| plt.axvline(1.06, color='gold', ls='--', label='Observed Asymmetry ~1.06') |
Author: Brian Martell
Date: December 27, 2025
PUH v25 rebound asymmetry f_{asym} = E_{matter}/E_{antimatter} >1 twin-conical jets collapse instability kick geometric imbalance ~1.06 central maxima dipole direction observed amplitude side lobes m=0 aligned Axis low-l primordial frozen patchy EoR high-z mature. From July 14, 2025.
| @article{secrest2025, | |
| author = {Secrest, Nathan and others}, | |
| title = {Colloquium: The cosmic dipole anomaly}, | |
| journal = {Rev. Mod. Phys.}, | |
| year = {2025}, | |
| note = {Dipole amplitude tension} | |
| } | |
| @article{copi2010, | |
| author = {Copi, C. J. and others}, |
| % Gist-ready — upload as: puh_rebound_asymmetry_factor_derivation_v25.tex | |
| \documentclass[11pt,a4paper]{article} | |
| \usepackage[utf8]{inputenc} | |
| \usepackage{amsmath,amssymb,amsthm} | |
| \usepackage{siunitx} | |
| \usepackage{geometry} | |
| \usepackage{booktabs} | |
| \usepackage{xcolor} | |
| \usepackage{hyperref} | |
| \usepackage{graphicx} |
| import numpy as np | |
| import matplotlib.pyplot as plt | |
| # PUH v25: SPF Density Factor Sim — Density vs Rebound Compression Factor | |
| f_rebound = np.linspace(1, 10, 500) # Rebound asymmetry factor arb. | |
| V_8 = np.pi**4 / 24 # Unit 8D volume | |
| rho_base = 240 / V_8 | |
| rho_spf = rho_base * f_rebound # Compressed density | |
| plt.figure(figsize=(10,6)) |
Author: Brian Martell
Date: December 27, 2025
PUH v25 SPF density \rho_{SPF} = 240 / V_8 \times f_{rebound}: E8 240 roots 8D V_8 = \pi^4 / 24 rebound asymmetry compression f_{rebound} jet ratio stiffness impedance throat tachyonic substrate grain. From July 14, 2025.
| @misc{e8vol2025, | |
| author = {{Mathematics Community}}, | |
| title = {E8 8D Unit Ball Volume \pi^4 / 24}, | |
| howpublished = {\url{https://mathworld.wolfram.com/Hypersphere.html}}, | |
| year = {2025}, | |
| note = {Volume formula} | |
| } | |
| @misc{rebound2025, | |
| author = {Martell, Brian}, |
| % Gist-ready — upload as: puh_spf_density_factor_derivation_v25.tex | |
| \documentclass[11pt,a4paper]{article} | |
| \usepackage[utf8]{inputenc} | |
| \usepackage{amsmath,amssymb,amsthm} | |
| \usepackage{siunitx} | |
| \usepackage{geometry} | |
| \usepackage{booktabs} | |
| \usepackage{xcolor} | |
| \usepackage{hyperref} | |
| \usepackage{graphicx} |
| import numpy as np | |
| import matplotlib.pyplot as plt | |
| # PUH v25: Throat Impedance Formula Sim — Z vs Frequency (Sharp Dip Zero) | |
| f = np.linspace(0.5, 1.5, 500) # Normalized frequency | |
| f_res = 1 # Resonance | |
| eta_density = 100 # Rebound density factor | |
| Z_standard = np.ones_like(f) # Standard constant Z_0 | |
| Z_throat = 1 / (1 + (f / f_res)**2 * eta_density) # PUH sharp dip |
Author: Brian Martell
Date: December 27, 2025
PUH v25 throat impedance Z_{throat} = Z_0 / (1 + (f / f_{res})^2 \eta_{density}) dense entangled SPF high-energy lowers stiffness sharp dip Z\to 0 resonance f_{res} tachyonic v_p > c zero-lag sync twins multiverse query mechanical substrate. From July 14, 2025.