Energy conversion corresponding to time dilation in question:

[Author ORCID: 0000-0003-1871-7803] 

Time is not considered a form of mass or energy, and mass or energy cannot be transformed directly into time. In physics, time is considered a fundamental dimension or parameter in which events occur. It is often treated as an independent concept that is separate from mass and energy.

In a fixed frame of reference, energy is not covariant but invariant.

However, the Lorentz transformation implies that energy can change when one moves from one reference frame to another, hence, energy is covariant between reference frames.

While logically and physically, the Lorentz transformation is the space-time transformation of special relativity.

According to relativistic law, energy and momentum are transformed under Lorentz transformation.

Therefore, according to the above messages time dilation is a consequence between two reference frames which corresponds to energy conversion.

However, time, whether proper time or relativistic time, is not a form of mass or energy, so mass or energy cannot be transformed into time, as per the law of conservation of energy.

Therefore, this physical and mathematical observation raises deep questions about the validity of relativistic time dilation with the application of the Lorentz transformation.

Reference https://physics.stackexchange.com/questions/364152/energy-conservation-violation

Alternative Source: Energy and momentum are transformed under the Lorentz transformation in special relativity. The Lorentz transformation describes how physical quantities, including energy and momentum, change when transitioning between different inertial reference frames that are moving relative to each other.

Time dilation is indeed a consequence of relative motion between two reference frames. When an observer is in relative motion with respect to another observer, they will perceive time to be dilated or stretched out compared to the stationary observer. This means that the moving observer's clock will appear to run slower from the perspective of the stationary observer.

The relationship between time dilation and energy can be understood within the framework of special relativity. As an object moves relative to an observer, its energy and momentum are transformed according to the Lorentz transformation. This transformation includes a factor known as the time dilation factor, which is related to the relative velocity between the two frames. The change in energy observed between reference frames can be attributed to the time dilation effect.

Therefore, this physical and mathematical observation raises deep questions about the validity of relativistic time dilation with the application of the Lorentz transformation. 

#covariantenergy #invariantenergy #Lorentztransformation