Price's Power Law: Mass-Energy Dampening & h Constant

In summary, Price's Power Law is a mathematical formula that describes the relationship between mass and energy, with a constant h value. It is used to calculate energy loss in mass-energy dampening and has applications in various fields. However, it has limitations and only applies to systems with a linear relationship between mass and energy.
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stevebd1
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In prices's theorem, the power law damping of the radiative tail can take the asymptotic form of-

[tex]\delta m(v_1) \sim hv_1^{\ -p}[/tex]

where [itex]\delta m[/itex] is the mass-energy of the radiation flux, [itex]v_1[/itex] is the null coordinate and [itex]p[/itex] determines the decay rate of the radiation (≥11 for gravitational radiation).

[itex]h[/itex] is simply described as an 'arbitary constant', another paper suggests it might be '..a constant that depends on the geodesic’s constants of motion..'. Any suggestions as to what it might be?
 
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@stevebd1 did you have any more insight on this topic?
 

What is Price's Power Law?

Price's Power Law is a mathematical formula that describes the relationship between mass and energy in a system. It states that the mass of an object is directly proportional to its energy, with a constant value known as the h constant.

How is Price's Power Law related to mass-energy dampening?

Price's Power Law is used to calculate the amount of energy that is lost when an object experiences mass-energy dampening. This phenomenon occurs when an object's mass increases, causing a decrease in its energy.

What is the h constant in Price's Power Law?

The h constant is a numerical value that is used in Price's Power Law to describe the strength of the relationship between mass and energy. It is a fundamental constant in physics and has a value of approximately 6.626 x 10^-34 joule-seconds.

What are some real-world applications of Price's Power Law?

Price's Power Law has many practical applications in fields such as engineering, physics, and economics. It is used to calculate the energy requirements for various systems, as well as to understand the effects of mass-energy dampening in processes such as nuclear reactions and particle collisions.

What are some limitations of Price's Power Law?

While Price's Power Law is a useful tool for understanding the relationship between mass and energy, it does have some limitations. It only applies to systems that exhibit a linear relationship between mass and energy, and it does not take into account factors such as relativity or quantum mechanics.

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