OVERVIEW
By Accepting the M Theory and Brane Cosmology as law, our understanding of Space travel had shifted forever.
The Archangels discovered AdS (Anti-De-Sitter) Drive allows for ships to warp into 4th dimension through Anti De Sitter space and travel in brane with greatly contracted distances
The Ship’s reactors produce significant amount of energy to power the cyclotron rings which create a “lift” into the 4th dimension from our 3 spacial dimensions which allows for travel through AdS in greatly contracted lengths
Between our Brane, are located Brane Above and Below between which is curved geometry Anti-De-Sitter space, Geometry allowing distances to be greatly stretch above and below our universe such that gravity cannot escape, in AdS, gravity mostly remains confined within our universe and still behaves as
F ≈ GMm⁄r2 in expection of Gravitons interact with D-particles. The other 2 Branes help delimit this warping leaving enough volume outside for adventures within the 4th spacial dimension
Human known reactor encahanted with Supersymmetric Reactor only able to withstand travel of equivallent 2533 light years, but discovered metals that Archangels grew in a system they had created nicknamed “Kentara” could potentially erase the travel limit into infinity with greater energy cost
Such Absurd methods were needed after discovery of “Bridge” tunnels in Archangels databases which connect to vast network across galaxies, Bridge is located near Galactic Center of Milky Way.
The Drive is based on discovered Archangels military vessel buried by winds and storms on Venus, Sol System which had AdS Technologies, reverse engineered drive made by humans only half capable of actual drives used by extinct guardians of milky way
GENERAL ACTION OF ADS DRIVE DYNAMICS
S = \int d\tau \, \mathcal{L}_{\text{AdS}}(x^\mu, \dot{x}^\mu, \phi, g_{\mu\nu}, \epsilon, E)
Where:
\tau\: is the proper time experienced by the ship.
x^\mu: represents the position coordinates in 4D space (including the 3D + 1 extra dimension).
\dot{x}^\mu: is the velocity of the ship in this extended space.
\phi\: is the field that describes the AdS space curvature and connection between the branes.
g_{\mu\nu}\: is the metric tensor that describes the curvature of the AdS space.
\epsilon\: is a coupling constant related to the energy provided by the ship’s reactor. E\ is the total energy used by the drive.
LAGRANGIAN FOR ADS DRIVE DYNAMICS
\mathcal{L}_{\text{AdS}} = \frac{1}{2} m \left( g_{\mu\nu} \dot{x}^\mu \dot{x}^\nu - 1 \right) - \epsilon \, g_{\mu\nu} \, \phi \, F(\dot{x}^\mu, \partial_\mu \phi) + \frac{\alpha}{2} \dot{x}^\mu \frac{d}{d\tau} \dot{x}_\mu - \frac{\beta}{r^2 + \gamma} + \mathcal{L}_{\text{AdS Transition}}
Where:
\frac{1}{2} m \left( g_{\mu\nu} \dot{x}^\mu \dot{x}^\nu - 1 \right): Represents the kinetic energy of the ship’s mass \ m \ traveling through the 4D curved AdS space.
\epsilon \, g_{\mu\nu} \, \phi \, F(\dot{x}^\mu, \partial_\mu \phi): Accounts for the interaction between the ship’s energy field and the AdS space. It includes how energy from the reactor \epsilon \ interacts with the field \phi \ governing the AdS curvature.
\frac{\alpha}{2} \dot{x}^\mu \frac{d}{d\tau} \dot{x}_\mu: Captures the acceleration and deceleration processes.
\frac{\beta}{r^2 + \gamma}: Models gravity-like forces within AdS, where \ r \ is the distance traveled within the AdS space.
\mathcal{L}_{\text{AdS Transition}}\: Accounts for the transition phases (entry and exit) of the ship into and out of AdS space, describing the forces and energies involved in shifting dimensions.
EQUATION OF MOTION
\frac{d}{d\tau} \left( \frac{\partial \mathcal{L}_{\text{AdS}}}{\partial \dot{x}^\mu} \right) - \frac{\partial \mathcal{L}_{\text{AdS}}}{\partial x^\mu} = 0
Where:
Entering AdS (Warp Transition): The energy \epsilon\ from the ship’s reactor powers a cyclotron ring, creating a "lift" into AdS. The term \epsilon \, g_{\mu\nu} \, \phi ensures the curvature interacts with the energy and mass, facilitating the ship's entry.
Travel Through AdS: The contracted distances effectively shorten the travel path. The metric g_{\mu\nu} describes the shortened distance, allowing rapid transit.
Acceleration/Deceleration Dynamics: The term \frac{\alpha}{2} \dot{x}^\mu \frac{d}{d\tau} \dot{x}_\mu regulates momentum change, smooth acceleration and deceleration within the warped space.
Exit Phase: The term \mathcal{L}_{\text{AdS Transition}} represents the energy changes and interactions needed to revert to 3D space.
