Brian Martell BrianMartell
BrianMartell
/ PUH_v6_GW_Photon_Redshift_Sim.py
Created
December 6, 2025 06:33
PUH-BrianMartell PUH_v6_GW_Photon_Redshift_Sim.py- updated new Py code
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| z = np.linspace(0, 3, 500) | |
| a = 1/(1+z) | |
| plt.figure(figsize=(8,5)) | |
| plt.plot(z, a, 'b-', label='Scale factor a(z)') | |
| plt.xlabel('Redshift z') | |
| plt.ylabel('Scale factor a') |
BrianMartell
/ PUH_v6_GW_Photon_Redshift.tex
Created
December 6, 2025 06:32
PUH-BrianMartell PUH_v6_GW_Photon_Redshift.tex- Updated Paper v6, In PUH v6 both photons and gravitational waves are pure excitations of the same E₈ lattice — they both travel at exactly c and follow identical null geodesics through the expanding lattice. Cosmological redshift therefore works exactly the same way for both: • As the lattice itsel…
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Identical Redshift of Photons and Gravitational Waves} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
BrianMartell
/ PUH_v6_Time_Emergent_Sim.py
Created
December 6, 2025 05:33
PUH- BrianMartell PUH_v6_Time_Emergent_Sim.py- update new Py code
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| v_over_c = np.linspace(0, 0.999999, 500) | |
| dtau_dt = np.sqrt(1 - v_over_c**2) | |
| plt.figure(figsize=(8,5)) | |
| plt.semilogy(v_over_c, dtau_dt, 'b-') | |
| plt.xlabel('v/c') | |
| plt.ylabel('Proper time rate $d\\tau/dt$') |
BrianMartell
/ PUH_v6_Time_Emergent.tex
Created
December 6, 2025 05:29
PUH- BrianMartell PUH_v6_Time_Emergent.tex- Updated Paper v6, In PUH v6 photons and gravitational waves are pure lattice excitations travelling at c → their proper time τ = 0. Massive particles are topological folds/knots in the lattice → they cannot travel at c, so they experience proper time τ > 0. Time itself is therefore not a fundamental pr…
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Time as Emergent Property of Lattice Folds} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
BrianMartell
/ PUH_v6_Scale_Invariant_Sim.py
Created
December 5, 2025 21:05
PUH-BrianMartell PUH_v6_Scale_Invariant_Sim.py- Updated New Py Code
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| k = np.logspace(-4, 1, 500) | |
| n_s = 0.965 | |
| P_k = k**(n_s - 1) | |
| plt.figure(figsize=(8,5)) | |
| plt.loglog(k, P_k, 'b-', label='PUH v6') | |
| plt.axhline(1, color='k', ls=':', label='Perfect scale-invariant (n_s=1)') |
BrianMartell
/ PUH_v6_Scale_Invariant_Spectrum.tex
Created
December 5, 2025 21:01
PUH-BrianMartell PUH_v6_Scale_Invariant_Spectrum.tex- Updated Paper v6, PUH v6 does not need inflation and produces a nearly scale-invariant power spectrum (nₛ ≈ 0.965) exactly the way the CMB demands. Here’s how: During the long contraction phase that forms the mega-Planck star, the universe is matter-dominated (w ≈ 0). Quantum vacuum fluctuati…
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Nearly Scale-Invariant Spectrum without Inflation} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
BrianMartell
/ PUH_v6_Flatness_Horizon_Sim.py
Created
December 5, 2025 20:55
PUH-BrianMartell PUH_v6_Flatness_Horizon_Sim.py- Updated New Py Code
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| M = 1e51 # kg | |
| G = 6.6743e-11 | |
| c = 3e8 | |
| ell_P = 1.616e-35 | |
| r_S = 2 * G * M / c**2 | |
| Omega_k = (ell_P / r_S)**2 |
BrianMartell
/ PUH_v6_Flatness_Horizon.tex
Created
December 5, 2025 20:51
PUH-BrianMartell PUH_v6_Flatness_Horizon.tex- Updated Paper v6, PUH v6 does not need inflation and solves both the flatness and horizon problems geometrically. • Flatness problem → The mega-Planck star core is so massive that its Schwarzschild radius r_S is essentially the entire observable universe today. At the moment of rebound the curvature …
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| \documentclass[11pt]{article} | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Flatness and Horizon Problems without Inflation} | |
| \author{Brian Martell} | |
| \date{4 December 2025} | |
| \begin{document} |
BrianMartell
/ PUH_v6_DESI_Euclid_Sim.py
Created
December 5, 2025 20:45
PUH-BrianMartell PUH_v6_DESI_Euclid_Sim.py-Updated New Py Code
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| import numpy as np | |
| import matplotlib.pyplot as plt | |
| theta = np.linspace(0, np.pi, 500) | |
| A_H = 0.09 | |
| H_ratio = 1 + A_H * np.cos(theta) | |
| plt.figure(figsize=(8,5)) | |
| plt.plot(np.rad2deg(theta), H_ratio, 'b-') | |
| plt.axhline(1.09, color='r', ls='--', label='Fast pole +9%') |
BrianMartell
/ PUH_v6_DESI_Euclid_Tests.tex
Created
December 5, 2025 20:42
PUH-BrianMartell PUH_v6_DESI_Euclid_Tests.tex- Updated Paper v6, DESI and Euclid are the decisive tests for PUH v6. PUH predicts the universe is not perfectly isotropic — it has a tiny built-in dipole from the 10⁻⁵⁹ geometric flaw in the rebound. This dipole makes the expansion rate and structure growth slightly different in opposite directions.…
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| \documentclass[11pt]{article} | |
| } | |
| \usepackage{amsmath,amssymb} | |
| \usepackage{hyperref} | |
| \usepackage[a4paper,margin=1in]{geometry} | |
| \title{Photonic Universe Hypothesis (PUH v6):\\Definitive Tests with DESI and Euclid} | |
| \author{Brian Martell} | |
| \date{4 December 2025} |
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