Flight from the Milky Way to Neighboring Universes: Routes, Lagrange Saddles, and Travel Durations
Our Universe is not an isolated island, but an expanding gravitational domain surrounded by neighboring universes of varying sizes and ages. At their boundaries, gravitational attractions balance out into neutral cosmic passes — Lagrange Saddles ($\mathcal{S}_L$). Because the Milky Way is shifted $2.5\text{ Gly}$ from the Big Bang epicenter ($O_1$) at an angle $\beta \approx 8^\circ$, travel distances and times to different sectors of the Multiverse vary significantly!
Starship Trajectories from the Milky Way to Neighboring Universe Boundaries
Relativistic Flight Durations: On-Board Time ($\tau$) vs Earth Time ($t$)
Due to the Milky Way's displacement of $2.5\text{ Gly}$ toward universe $M_2$, the route to the Eastern Lagrange Saddle is the shortest ($35.5\text{ Gly}$), while the opposite Western route to $M_3$ is the longest ($49.0\text{ Gly}$).
| Flight Route from Galaxy | Distance to Saddle $\mathcal{S}_L$ | Ship Velocity $v$ | Earth Time $t$ | On-Board Proper Time ($\tau$) |
|---|---|---|---|---|
| 1. East to Giant Universe $M_2$ (Shortest!) | $35.5\text{ Gly}$ | $0.90\,c \ (\gamma \approx 2.29)$ | $39.4\text{ Gyr}$ | $\approx 17.2\text{ Gyr}$ |
| 2. North (+Z) to Universe $M_4$ | $38.0\text{ Gly}$ | $0.90\,c \ (\gamma \approx 2.29)$ | $42.2\text{ Gyr}$ | $\approx 18.4\text{ Gyr (via IC 1101)}$ |
| 3. South (-Z) to Universe $M_5$ | $43.5\text{ Gly}$ | $0.90\,c \ (\gamma \approx 2.29)$ | $48.3\text{ Gyr}$ | $\approx 21.1\text{ Gyr (via Phoenix A)}$ |
| 4. West to Young Universe $M_3$ (Longest) | $49.0\text{ Gly}$ | $0.90\,c \ (\gamma \approx 2.29)$ | $54.4\text{ Gyr}$ | $\approx 23.7\text{ Gyr (via O₁)}$ |
Astrophysical Status: Deceleration of Expansion & Quasistationary Lagrange Boundary ($\mathcal{S}_L$)
In the SGDM cosmological model, our Universe ($M_1$, age $13.8\text{ Gyr}$) is currently undergoing gravitational deceleration of expansion, approaching its terminal boundary envelope ($R_{\max} \approx 46.5\text{ Gly}$). Expansion rate asymptotically levels off ($\ddot{a} < 0$).
Consequently, the gravitational saddle surface ($\mathcal{S}_L$) between our Universe and neighboring domains is quasistationary: the frontier does not run away to infinity, ensuring the spacecraft reliably reaches the gravitational crossover threshold within calculated relativistic proper flight time.
Lagrange Saddle: Point of No Return
Crossing $\mathcal{S}_L$ swaps gravitational pull: home domain attraction is replaced by the neighboring universe, pulling the ship inward effortlessly.
Distance Asymmetry from Offset
Because our position is shifted $2.5\text{ Gly}$, the Eastern route to $M_2$ is $13.5\text{ billion light-years shorter}$ than the Western route to $M_3$.
Relativistic Time Dilation
At $0.90\,c$ ($\gamma \approx 2.29$), onboard time slows down by a factor of 2.29: while $40–54\text{ billion years}$ pass in the external cosmos, the crew proper flight time takes only $17–24\text{ billion years}$ to cross the Multiverse boundary.
Scene 2. Spatial 3D Interferometer: How Orbital Lasers Measure the Universal Polar Axis
While global projects (LISA, TianQin) build planar 2D triangles, the SGDM model proposes a volumetric 3D tetrahedron $(X, Y, Z)$ based on GEO and polar orbits. Laser and RF links in vacuum continuously measure the complete 3D metric tension tensor, calibrated to the Universal Polar Axis ("Axis of Evil").
Patent: SGDM 3D Gravitational-Metric Complex
Complete 3D vector diagram, dual-frequency pipeline (1064 nm + Ka-band), patent claims, and cosmological calibration along IC 1101 — Phoenix A.