The idea is to store energy, input and output as electricity, as the gravitational potential energy of a heavy mass. I am interested in this for off-grid autonomous facilities because it seems to me it would provide a high level of reliability and a very low level of maintenance (because ...
For instance, scientists believe that probing the continuous gravitational wave (CW) emissions from neutron stars will reveal data on their internal structure and equation of state and can provide tests ofGeneral Relativity. In arecent study, members of theLIGO-Virgo-KAGRA(LVK) Collaboration conducted...
Assuming that the world-line action in Equation (2) describes the source dynamics, the effective potential between two particles with trajectories 𝐱𝑎(𝑡𝑎) can be expressed in terms of the particle energy–momentum tensors (in mixed time/Fourier-space representation) 𝑇˜𝜇𝜈𝑎...
Most GW estimates are based on Equation(1). When bulk mass motions dominate the dynamics, the first term describes the radiation. For example, this term gives the well-known “chirp” associated with binary inspiral. It can be used to model bar-mode and fragmentation instabilities. At least ...
The magnetic field is calculated using the scalar magnetic potential approach. The finite-volume method is applied to solve the coupled equation for flow, energy, and entropy generation. Simulations are conducted to obtain streamlines, isotherms, Nusselt numbers, entropy generation, and the Bejan ...
If we also neglect terms in the form 𝑣𝑖𝑣𝑗𝑐2vivjc2 and limit ourselves to static metric configurations, we find that a geodesic equation for the particle in non-relativistic motion is written as [43,44]: 𝑑𝐯𝑑𝑡=𝐄g+𝐯×𝐁g,dvdt=Eg+v×Bg, (34) which shows...
Equation (1) is valid independently of whether the TM is forced to follow the SC—accelerometer operation—or is an unforced, free-falling reference for SC “drag-free” control. However, the extraction of the differential gravitational measurement is different (see Appendix A), and the presence...
Equation (3) is equivalent to Equation (4) when the two following conditions are satisfied: Condition 1: The noise of measurement in the input is independent from the noise in the target which is used to train the network; Condition 2: The expectation of noise added to the signal is zero...
Step 5: Store individuals with dominance Tier 1 in 𝑟𝑒𝑝rep; Step 6: Calculate the inertial mass 𝑀M, resultant force 𝐹F, velocity 𝑣v, and update the individual Position 𝑥𝑡+1xt+1 with Equation (30); Step 7: Determine whether the random number 𝑟𝑎𝑛𝑑rand is ...
this curvature being caused by the presence of mass (and also energy and momentum of an object). In other words, Einstein's equations match, on the one side, the curvature of local space–time with, on the other side of the equation, local energy and momentum within that space–time. ...