How Does Mass Relate to Time in Relativity Theory?

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The discussion explores the relationship between mass and time in the context of relativity theory. It highlights that, unlike classical and quantum mechanics, relativity shows that a particle's mass is influenced by its position in a gravitational field and its velocity, linking these changes to time dilation effects. A reference is made to Jayant Narlikar's work, which suggests that particle masses can vary as a function of time, specifically indicating that mass increases with time squared in flat space. However, it is also noted that in General Relativity, the invariant mass of an object remains constant regardless of its velocity or gravitational influences. The conversation emphasizes the complex interplay between mass, time, and spacetime curvature in understanding gravity.
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I wanted to respond to an older post but it was closed...so perhaps it can be revisited?

It was asked if someone could shed light on any and all relationships between mass and time? A known theory or even an alternative.

It was responded to as not knowing of such relation in classical mechanics or quantum mechanics. However in relativity the mass of a particle depends on the location the particle is in a gravitational field and on the particles velocity. These alterations in mass are directly attributable to time dilation effects. i.e. time dilation and mass changes are one in the same phenomena.
@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@<-----snail stampede!

If I had been around at the time...this would have been my post:

Jayant Narlikar, a student of Fred Hoyle, solved the field equations for particle masses as a function of time... m=m(t)...which in flat space are simply conservation of energy/momentum which requires that elementary particles to gain mass as m=t^2
 
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I don't know what you're talking about. To my knowledge the invariant mass of an object in General Relativity is always the same, no matter the velocity it travels at or the gravitational field it is in. The mass of the object determines the amount of curvature that spacetime experiences around it, and thus the gravity around it.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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