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Skyrmion propulsion boundary
The full topology and orbit analysis now lives on Skyrmions. This propulsion page inherits its boundary: integer winding, moving solitons, collective coordinates, low effective mass, and modeled metric responses do not establish reactionless thrust, total-inertia cancellation, spacetime engineering, or transmedium propulsion.
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Computational consolidation notice
The site-wide source of truth for all Python and numerical validation is now Python and Numerical Validation. This propulsion page remains the domain-specific simulation branch. Its local code examples and runnable harness are interpreted through the canonical audit: exact software behavior where stated, but no measured thrust, force, inertial modification, spacetime curvature, reactionless momentum transfer, HFGW detection, or novel GEM field.
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Computational inclusion rule
This page contains only propulsion-adjacent formalisms represented by executable Python, NumPy/SciPy simulation, QuTiP quantum simulation, or explicit VQE circuit specifications found in Google Drive. Prose-only propulsion claims, hardware-only descriptions, and symbolic documents without a simulation layer are excluded.
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Status key: [PY] Python/NumPy/SciPy code · [QSIM] quantum simulation · [SPEC] circuit or solver specification · [PROTO] code-bearing prototype requiring correction · [MODEL] internal computational model, not experimental propulsion validation
$V_2^{\otimes3}\xrightarrow{C}\xrightarrow{K=(C-6I)(C-30I)}E_{47}\xrightarrow{P_{47}}\text{simulated dynamics}$
The Drive corpus divides into five executable or simulation-specified layers:
| Layer | Runtime | Role | Status |
|---|---|---|---|
| E47 spectral substrate | NumPy / QuTiP | Constructs the 125-dimensional carrier, Casimir selector, and 47-dimensional kernel | [PY] [QSIM] |
| GEM / gravito-inertial model | QuTiP | Couples a two-qubit superconducting sector to a truncated bosonic GEM mode | [QSIM] [PROTO] [MODEL] |
| Scalar / spectral model | NumPy / Matplotlib | Evaluates kernel rank, scalar recursion, mass scaling, and attractor surfaces | [PY] [MODEL] |
| Geodesic / metric model | SciPy / NumPy | Integrates an augmented geodesic flow with singularity detection | [PY] [MODEL] |
| E47 VQE model | Native-circuit specification | Defines a parameterized ansatz and hybrid optimization loop | [SPEC] [PROTO] |
Drive source: KKP Spectral Validation and QuTiP Emulation Report
The computationally stable core constructs the spin-2 generators, their tensor cube, the total Casimir, and the selector:
import numpy as np
import qutip as qt
j_x = qt.jmat(2, "x")
j_y = qt.jmat(2, "y")
j_z = qt.jmat(2, "z")
I5 = qt.qeye(5)
Jx = qt.tensor(j_x, I5, I5) + qt.tensor(I5, j_x, I5) + qt.tensor(I5, I5, j_x)
Jy = qt.tensor(j_y, I5, I5) + qt.tensor(I5, j_y, I5) + qt.tensor(I5, I5, j_y)
Jz = qt.tensor(j_z, I5, I5) + qt.tensor(I5, j_z, I5) + qt.tensor(I5, I5, j_z)
C = Jx**2 + Jy**2 + Jz**2
I125 = qt.tensor(I5, I5, I5)
K = (C - 6 * I125) * (C - 30 * I125)
evals = K.eigenenergies()
dim_E47 = int(np.count_nonzero(np.abs(evals) < 1e-10))
omega_c = dim_E47 / 125
assert dim_E47 == 47
assert np.isclose(omega_c, 47 / 125)
Normalized result:
$\dim\ker K=47,\qquad \Omega_c=47/125=0.376.$
Code audit: the Drive version uses qeye(125), whose QuTiP tensor metadata can differ from the $5\otimes5\otimes5$ operator metadata. The normalized form above uses tensor(I5,I5,I5) so the dimensions match exactly.
Drive source: Gravito-Magnetic Fields
The source defines a simulated Hamiltonian family
$H=H_{\mathrm{SC}}+H_{\mathrm{GEM}}+H_{\mathrm{RI}}$
with