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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| H0_cmb = 67 | |
| delta_H = 0.09 | |
| H_fast = H0_cmb * (1 + delta_H/2) | |
| H_slow = H0_cmb * (1 - delta_H/2) | |
| print(f"Fast hemisphere: {H_fast:.1f} km/s/Mpc") | |
| print(f"Slow hemisphere: {H_slow:.1f} km/s/Mpc") |
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Resolution of Hubble Tension via Dipolar Rebound} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| ell = np.arange(2, 2500) | |
| # Standard ΛCDM-like power spectrum (mock) | |
| Cl = 1e-10 * ell**(-2) * (1 + np.sin(ell/220 * np.pi)) # very rough peaks | |
| plt.figure(figsize=(10,6)) | |
| plt.loglog(ell, Cl, 'b-', label='PUH v6 (standard physics after rebound)') | |
| plt.xlabel('Multipole $\ell$') |
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Acoustic Peaks from Standard Post-Rebound Physics} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| M = np.logspace(50, 55, 500) # kg | |
| r_S = 2*6.6743e-11 * M / (3e8)**2 | |
| delta = 1.616e-35 / r_S | |
| C_geom = 1e-5 / delta | |
| plt.figure(figsize=(8,5)) | |
| plt.loglog(M, delta, 'b-', label=r'$\delta$') |
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\CMB Anomalies from Rebound Jet Asymmetry} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| M = np.logspace(50, 55, 500) # kg | |
| r_S = 2* G * M / c**2 | |
| delta = ell_P / r_S | |
| C_geom = 1e-5 / delta # amplification needed | |
| plt.figure(figsize=(8,5)) | |
| plt.loglog(M, delta, 'b-', label=r'$\delta$') |
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\CMB Density Contrast from Geometric Flaw} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| delta = np.logspace(-65, -55, 500) | |
| H = np.sqrt(delta) * 1e43 # normalized to Planck frequency | |
| plt.figure(figsize=(8,5)) | |
| plt.loglog(delta, H, 'b-') | |
| plt.xlabel('Geometric asymmetry $\delta$') | |
| plt.ylabel('Initial Hubble $H_{\\rm rebound}$ (arb.)') |
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Big-Bang Trigger from Geometric Flaw} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |