How Does Mass Relate to Time in Relativity Theory?

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SUMMARY

The discussion centers on the relationship between mass and time within the framework of relativity theory. It highlights that in General Relativity, the mass of a particle is influenced by its velocity and the gravitational field it occupies, leading to time dilation effects. Jayant Narlikar's work is referenced, where he derived that mass can be expressed as a function of time, specifically m = m(t), indicating that mass increases with time as m = t². The invariant mass remains constant regardless of velocity or gravitational influence, affecting the curvature of spacetime around the mass.

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  • Understanding of General Relativity principles
  • Familiarity with time dilation concepts
  • Knowledge of mass-energy equivalence
  • Basic grasp of gravitational fields and spacetime curvature
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  • Study the implications of time dilation in General Relativity
  • Explore Jayant Narlikar's contributions to mass and time relationships
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Physicists, students of theoretical physics, and anyone interested in the intricate relationships between mass, time, and gravity in the context of relativity theory.

Gabrell
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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.
 

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