Physics of hyperquantum drives
The capabilities and limitations of faster than light travel in Inner Horizon
The primary goal for hyperquantum drives is to match up holographic (horizon) state representations on the approximately spherical 2D spatial boundary of four different causal diamonds: the local causal region defined by the speed of light c times the convergence time T₁ (medium blue region given by c T₁ = R₁), the destination causal region defined by T₃ (the miniscule “write time” on the order of microseconds which defines the small blue sphere R₃ = c T₃), the tangent sphere (red) containing previous two defining the effective teleport range R₂, and finally the extension of the local causal region by Rᴴ = c Tᴴ that propagates the time coordinate (Hamiltonian time evolution) on the patch R₁ to match the causal boundary for R₂ and R₃.
The inherently different curvatures on these boundaries require projection algorithms (including corrections for matter distributions inside the regions). The differences in curvature cannot be completely accounted for resulting in bit errors in addition to a net residual anomalous curvature (i.e. acceleration) with an Unruh temperature — thermal energy that comes from the teleporting system meaning it materializes at a slightly lower temperature (depending on the efficiency of the algorithms). The absolute minimum is the Unruh temperature of the local gravitational field acceleration g.
We want teleport the invariant states which are computationally more tractable in the Heisenberg picture, but requires producing the correct time evolution per the teleporting system’s Hamiltonian for the states on the boundary of the local causal spatial region R₁ at the convergence time to the boundary of the spatial region R₂ (red sphere on left). This is easier if the gravitational field g is uniform and weak (but not so weak it can’t be detected). There are additional gravitational corrections based on the matter distribution inside R₁ per Dr. Miranda Sierra’s thesis. Note that this propagation is on the order of thousands of years in order to travel thousands of light years; typically it is performed in a quasi-static approximation such that it’s mostly just a phase ~ exp(i H t) but gravitational corrections mix time and space coordinates making this one of the most difficult parts of the calculation with many different approaches that vary from algorithm to algorithm. At extreme distances, even the accelerating expansion of the universe due to the cosmological constant needs to be accounted for.
The convergence time is the time to compute horizon mapping of the current quantum state of the system being teleported. If this mapping is not completely determined within the expected convergence time (the expected convergence time is the one used to transform to the tangent boundary), a typical hyperquantum computer will reset and start over. Because of this, convergence time is typically set to be longer than the best case by some margin and some amount of resources are continuously used to monitor the mapping to maintain a good “seed” value, reducing the required convergence time once a teleportation is initiated. Things that can disrupt or prolong convergence are conscious minds moving around (walking around a ship outside of a “seed” pod), additional conscious minds entering the system (someone new comes aboard), as well as black holes or other hyperquantum computers inside the region R₁.
The teleporting system sets up a cellular automaton-like program to perform the proper bit changes in the holographic representation (horizon information entropy changes); this takes a finite period of time T₃ (the “write time” which defines the sphere R₃ = c T₃) and is based entirely on the efficiency of the algorithm. This “agent” “lives” in the boundary theory and transfers the entangled quantum system signal from the source to the destination (double green lines) (see here [pdf]). No observer in the bulk region R₂ sees a signal move past them at a speed faster than light.
The correspondence between 3D bulk states with gravity and 2D states in the holographic representation with entropy/computational complexity means that the direction of the gravitational field g is an emergent (or even in some sense “fictitious”) dimension (typically labeled as the z-axis). However it also means that projections from one representation to another aligned with the local g-field vector create closer to pure horizon states. “Off-g” projections can be handled, but produce mixed states (higher curvature) that are more complex for the algorithms to operate on. In general, this means that “off-g” teleportation has a reduced range. The short range/causal diamond limit is where most planetary teleportation systems operate — in this limit there is no “faster than light” travel and the teleported system does not leave the local causal region.
A hyperquantum computer (or even a sentient being with CHI ability) can “detect” the gravitational deformations in the boundary representation due to high pure qubit density objects near the boundary — a hyperquantum telescope. This allows you create a “star map” of such objects projected onto the horizon. The “brightest” objects are black holes, but at finer resolution (or closer range) you can detect (hyper)quantum computers and sentient beings. The primary use is for navigation, but it also allows you to detect e.g. civilizations1.
There is a possibility to send signals2 “faster than light” by moving the high qubit density objects relative to one another, but a) at the resolution for most hyperquantum systems means this is not practical, b) it is often easier/higher bandwidth to just teleport to the location and get the information, and c) from a physics standpoint this is equivalent to teleporting to the location anyway.
Multiple jumps
It is possible to create a chain of jumps using the initial calculation and propagating the result further (including the intermediate Hamiltonian times). As the first jump is the one that has the longest convergence time — the subsequent jumps are practically starting from a pure horizon state. This can be more efficient for long range than a single jump depending on the matter distributions and algorithm capabilities.
It requires a sufficient density of sentient beings to come together to work at long range. This is how the Uutaruu detected humans during some of their earliest mass gatherings at e.g. Göbekli Tepe.