![]() Special relativity already plays at the location and the instant of the observed event when a difference exist between the observed event and the observer. This defines the eigenspace of such defined operator as a sampled continuum or with other words, as a sampled field. This fact can be exploited for defining a category of defined operators that use the eigenvectors of the reference operator and that specify the eigenvalue for an eigenvector as the target value of a selected quaternionic function that corresponds with the eigenvalue of the reference operator as parameter value for that function. When equipped with Cartesian and polar coordinate systems this reference operator can manage the private parameter space of the separable Hilbert space. For example all rational values of a quaternionic number system can together form an eigenspace of a special reference operator. As eigenvalues of operators they can store discrete sets of such values in the eigenspace of operators that reside in separable Hilbert space. The quaternions are ideally suited for the storage of dynamic geometric data in the form of a scalar time-stamp and a three-dimensional spatial location vector. The real numbers, the complex numbers and the quaternions. Hilbert spaces can only cope with number systems that are division rings. Hilbert spaces exist as separable Hilbert space and as non-separable Hilbert space. They were designed to be long-range communication relays with a transmission speed of about 64c.A suitable platform that is familiar for many physicists is a Hilbert space. Hermes Buoys were communications platforms, equipped with FTL grav-pulse receivers and transmitters, light-speed communication lasers and other standard sub-light communication capabilities. The first known use of FTL technology by Haven was during the Battle of Solon with the Tarantula platforms. The Republic of Haven deployed FTL communications equipment before the early 1920s PD. The first confirmed use was by the IANS Hellbarde while shadowing the HMS Jessica Epps in the Harston System. The Andermani Empire developed and deployed FTL equipped recon drones around 1918 PD. The Solarian League had no known samples and although they were familiar with the theory by 1921 PD, did not appear to have solved the engineering problems as of the Second Battle of Manticore. The defection of Erewhon from the Manticoran Alliance gave the Republic of Haven their first look at functional units almost two decades after their initial deployment. The spread of this technology was extremely slow. This capability was used not only in ships but also in recon drones and twenty years later was compact enough that it was theoretically possible to fit it into an MDM at the expense of one of the impeller drives (although the RMN took a different route developing Apollo). #GRAVITY WAVES FASTER THAN LIGHT GENERATOR#( HH14) By using a specialized gravity generator to create rapid pulses that could be detected by gravity sensors (which can detect gravity waves in real time), the Royal Manticoran Navy was able to communicate in realtime across the full range of their gravity sensors (to all practical purposes, anything short of interstellar range). ( HH1)įaster-than-light communication by anything but courier was something humanity kept looking for for a thousand years, but remained impossible until Manticore's breakthrough at the beginning of the 20th Century PD. In the Post Diaspora era, humans had found means to travel faster than light with the discovery of hyperspace and the invention of the impeller drive, the Hyper generator, and the Warshawski sail. ![]()
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