pyhqiv 0.1.0

Horizon-Quantized Informational Vacuum (HQIV) framework — discrete null lattice, phase-horizon Maxwell, octonion algebra, and protein-scale field simulation

pyhqiv — Horizon-Quantized Informational Vacuum (HQIV)

Production-ready, pip-installable Python package implementing the Horizon-Quantized Informational Vacuum (HQIV) framework exactly as defined in the paper:

Ettinger, Steven Jr, Horizon-Quantized Informational Vacuum (HQIV): A Unified Framework from Causal Horizon Monogamy and Discrete Null-Lattice Combinatorics. Zenodo, 2026. https://doi.org/10.5281/zenodo.18794889

Citation

If you use this package in research, please cite the paper:

@misc{ettinger2026hqiv,
  author       = {Ettinger, Steven Jr},
  title        = {Horizon-Quantized Informational Vacuum (HQIV): A Unified Framework from Causal Horizon Monogamy and Discrete Null-Lattice Combinatorics},
  year         = {2026},
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.18794889},
  url          = {https://doi.org/10.5281/zenodo.18794889}
}

Installation

pip install pyhqiv

From source:

git clone https://github.com/disregardfiat/hqvmpy.git && cd hqvmpy
pip install -e .

Optional extras (PDB loading, JAX, QuTiP, visualization):

pip install pyhqiv[ase,mda,qutip,jax,pyvista]
# or
pip install pyhqiv[all]

Quick start

from pyhqiv import DiscreteNullLattice, HQIVSystem

# Paper numbers: Ω_k^true ≈ +0.0098, m_trans = 500, γ ≈ 0.40
lattice = DiscreteNullLattice(m_trans=500, gamma=0.40)
result = lattice.evolve_to_cmb(T0_K=2.725)
print(result["Omega_true_k"])   # ≈ 0.0098
print(result["age_wall_Gyr"])   # ≈ 51.2
print(result["lapse_compression"])  # ≈ 3.96

# Multi-atom system with phase-corrected fields (optional: from PDB)
sys = HQIVSystem.from_atoms([(0, 0, 0), (1.5, 0, 0)], charges=[1, -1], gamma=0.40)
import numpy as np
grid = np.mgrid[-2:2:11j, -2:2:11j, -2:2:11j].reshape(3, -1).T
E, B = sys.compute_fields(grid, t=0.0)

Package layout

Path	Description
src/pyhqiv/algebra.py	Octonion HQIV algebra (so(8) closure, hypercharge 4×4 block)
src/pyhqiv/lattice.py	Discrete null lattice, δE(m), T(m), evolve_to_cmb
src/pyhqiv/phase.py	HQIVPhaseLift: δθ′(E′), ˙δθ′, ADM lapse compression
src/pyhqiv/atom.py	HQIVAtom (position, charge, species, local Θ, φ)
src/pyhqiv/system.py	HQIVSystem (multi-atom, monogamy γ, E/B on grid)
src/pyhqiv/fields.py	Phase-horizon FDTD / spectral Maxwell (γ(φ/c²)(˙δθ′/c) terms)
src/pyhqiv/constants.py	Paper constants (γ, α, T_Pl, 6^7√3, etc.)

Paper numbers (reproduced)

Quantity	Value	Source
Ω_k^true	+0.0098	Shell integral m = 0 … 500
m_trans	500	Discrete–continuous transition
γ	0.40	Entanglement monogamy
α	0.60	G_eff exponent
T_lock	1.8 GeV	QCD lock-in
6^7√3	≈ 4.849×10^5	Combinatorial invariant
Wall-clock age	51.2 Gyr	Lattice → CMB
Apparent age	13.8 Gyr	ADM lapse compression ≈ 3.96×

Tests

pip install -e ".[all]"
pytest tests/ -v

The test tests/test_paper_numbers.py checks Ω_true_k, γ, combinatorial invariant, lapse factor, and lattice δE(m) / mode counts to 6 decimal places.

License

MIT.