Potential energy contributes to the mass

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The mass of a composite object can differ from the sum of the masses of its individual components due to the contribution of potential energy. This concept is illustrated by atomic nuclei, where the mass is less than the total mass of protons and neutrons. Kinetic energy of components also affects the overall mass when measured in a specific reference frame. References to this topic can be found in "Physics 209" last revised on 3-2-01 and N. David Mermin's "It's About Time" from Princeton University Press, 2005. Understanding how potential energy influences mass is crucial in physics discussions.
bernhard.rothenstein
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i read in many places:even if you put together identical bricks it turns out that the mass of the object you construct depends on how ou put the bricks together.
do they mean that the potential energy contributes to the mass of the constructed object?
 
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Give a reference to one of the many places.
 
Meir Achuz said:
Give a reference to one of the many places.
give google to look for
Physics 209 last revised 3-2-01
 
Meir Achuz said:
Give a reference to one of the many places.
i find the same thing in
n.david.mermin it's about time princeton university press 2005
 
bernhard.rothenstein said:
give google to look for
Physics 209 last revised 3-2-01

OK, I found it. It's obviously using "bricks" as a metaphor for constituents of a composite object.

In what follows, by "mass" I mean what is often called "invariant mass" or "rest mass", as does that article.

Yes, the mass of a composite object or system does not necessarily equal the sum of the masses of its individual components. The potential energy of the system contributes to the mass of the system. Atomic nuclei are a well-known example: the mass of a nucleus is smaller than the sum of the masses of the individual protons and neutrons. If the individual components have kinetic energy in the reference frame in which the system as a whole is at rest (total momentum = 0), that contributes to the mass of the system as well.
 
Physics 209 last revised 3-2-01 is too long for me to read.
I don't always agree with Mermin, especially on EPR, but I'll buy
Bell's answer.
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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