Exact parameters
Scope
Absolute Eulerian source energy for the fixed 2c geometry, including
the infinite exterior tail. Values are numerical estimates, not
certified bounds or propulsion requirements. Formal promotion
remains unavailable.
The wireframe solves |∇Φ| = 1 for the selected metric (g₀₀ = 0, a
stationary limit, not an event horizon or a material hull). Dashed
circles mark the 10 m cabin; the 8 m craft is schematic. The 3D
density uses direct metric samples, revolved about x by axisymmetry,
with a fixed symmetric signed color scale. A common asinh contrast
transform makes weak negative regions visible; equal positive and
negative magnitudes receive equal contrast. Both signs use the same
glyph size, opacity and depth treatment. Display samples below
0.005% are omitted; the energy integral retains the tail.
The quiet Hipparcos sky uses measured stellar directions and V
magnitudes (J1991.25). Its orientation relative to the bubble is a
reference choice. Backward null-ray integration predicts angular
deflection for an instantaneous Eulerian observer at the camera.
Colors and exposure stay fixed; spectral shifts and magnification
photometry are not predicted. The geometry is a coordinate overlay.
Lensing applies to the reference sky. The lens icon toggles the
reference sky for comparison.
Optics use a cached, interpolated angular map and finite numerical
integration. Unresolved directions show no stellar light; this does
not establish a horizon. Numerical approximations have no rigorous
global error bound. The floor remains flat because these spatial
slices are Euclidean.
Saturn is a placed reference source, 1.2 million km away, with a
60,268 km equatorial radius, 54,364 km polar radius and measured
principal ring edges. It is shaded as an oblate ellipsoid with thin
rings. The same calculated angular deflection acts on its entire
image. Placement, sunlight, bands and fixed exposure are
illustrative; this is not a Solar System ephemeris. Saturn’s gravity
and detailed atmospheric and ring radiative transfer are omitted.
The density field and selected-metric surface are stationary.
Rotation in the mass comparison is illustrative, not a prediction of
material motion. The ship’s finite outgoing-ray integrations remain
available in the scientific data and light-path details.
The annihilation comparison uses E = 2mc²: m kilograms of antimatter
and the same mass of ordinary matter, with ideal complete conversion
and energy recovery. It compares rest energy only; it is not a fuel
requirement or a way to produce the geometry's stress-energy.
Antimatter has positive rest energy; it does not supply negative
density. Sphere volume represents mass at Earth's mean density, on a
separate scale from the metre-based geometry. The colors distinguish
the two masses, not their predicted appearance.
Light-path details use supplied finite null-ray integrations.
Imported files report their own numerical checks; the browser does
not verify their calculations. History dates are recorded evaluation
times, not certification dates.
CERN · annihilation
·
NASA · Earth mass
·
NIST · c
Rodal, 2025 ↗
·
Hipparcos · NASA HEASARC ↗
·
Saturn rings · NASA ↗