"Electroids" is not a term commonly used in physics, so I assume you are referring to electrically charged particles, such as electrons, at speeds close to the speed of light.
According to our current understanding of physics, the behavior of charged particles like electrons is described by the principles of electromagnetism, specifically by Maxwell's equations and the Lorentz force law. These laws govern how charged particles interact with electric and magnetic fields.
As a charged particle approaches the speed of light, several important phenomena occur:
Time dilation: As an object with mass accelerates closer to the speed of light, time dilation occurs. From the perspective of an observer, the time experienced by the moving particle appears to slow down. This effect is not unique to charged particles but applies to any object with mass.
Lorentz contraction: At relativistic speeds, objects appear to contract along their direction of motion. This contraction is known as Lorentz contraction or length contraction. The contraction affects the spatial dimensions of charged particles as well.
Increased relativistic mass: As a charged particle accelerates, its relativistic mass increases due to the energy associated with its motion. This increase in mass affects the particle's response to electromagnetic fields.
Emission of electromagnetic radiation: When charged particles are accelerated or decelerated, they emit electromagnetic radiation in the form of photons. This phenomenon is called bremsstrahlung or synchrotron radiation. As particles approach the speed of light, the emission of electromagnetic radiation becomes more pronounced.
It is important to note that these effects become significant only as the particle's velocity approaches a substantial fraction of the speed of light. At the exact speed of light, the theory of special relativity suggests that massful particles cannot exist or accelerate further.
In summary, as charged particles approach the speed of light, they experience time dilation, length contraction, an increase in relativistic mass, and emit electromagnetic radiation. These relativistic effects play a crucial role in understanding the behavior of charged particles at high speeds.