BrianMartell

@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},

BrianMartell

% 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}

BrianMartell

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))

BrianMartell

Abstract: SPF Density Factor Derivation in PUH v25 (~2,910 Gists)

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.

BrianMartell

@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},

BrianMartell

% 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}

BrianMartell

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

BrianMartell

Abstract: Throat Impedance Formula Derivation in PUH v25 (~2,910 Gists)

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.

BrianMartell

@article{tachyon1967,
  author = {Feinberg, G.},
  title = {Possibility of Faster-Than-Light Particles},
  journal = {Phys. Rev.},
  volume = {159},
  pages = {1089},
  year = {1967},
  note = {Tachyonic modes}
}

BrianMartell

% Gist-ready — upload as: puh_throat_impedance_formula_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}