Design of Measurement and Detection Devices of Curvature Through the Synergic Integral Operators of the Mechanics on Light Waves
Of a theory of integrals for the determination of observables of fields and particles in mathematics and mechanics [1–3], and applying a generalization of the principle from the minimum action to an entire field of objects to obtain a combined action of all the useful movement trajectories in the evaluation of an observable through synergic integral operators, [1, 4], it is designed and it develops an electromagnetic device to measure the curvature of objects using the values of these integrals on geodesic and movement trajectories generated by the field and the deviations of the waves generated by the device. The most concrete case is the obtaining of a device that measures the curvature through waves of light and its reflections with tomography on the surfaces of bodies. As future addresses of this investigation it is wanted to use this device to measure curvature and torsion of the universe, as well as to detect fields, particles and regions of the susceptible space-time for the interstellar trips.