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The thought experiment:

Two spaceships are passing each other some distance from a star.
Both ships are at relativistic speed, one toward and one away from the star.
Should the total energy observed by each ship be equal?

I observe that the light reaching each ship is not shifted to the same frequency, from which I suspect a difference in energy.

If the energy involved is small but nonzero, does it go anywhere specifically?

Speculation: Gravity and lumens both use the inverse square, so perhaps this involves gravitational potential? Is this just a case breaking energy conservation?

The thought experiment:

Two spaceships are passing each other some distance from a star. Both ships are at relativistic speed, one toward and one away from the star. Should the total energy observed by each ship be equal?

I observe that the light reaching each ship is not shifted to the same frequency, from which I suspect a difference in energy.

If the energy involved is small but nonzero, does it go anywhere specifically?

Speculation: Gravity and lumens both use the inverse square, so perhaps this involves gravitational potential? Is this just a case breaking energy conservation?

The thought experiment:

Two spaceships are passing each other some distance from a star.
Both ships are at relativistic speed, one toward and one away from the star.
Should the total energy observed by each ship be equal?

I observe that the light reaching each ship is not shifted to the same frequency, from which I suspect a difference in energy.

If the energy involved is small but nonzero, does it go anywhere specifically?

Speculation: Gravity and lumens both use the inverse square, so perhaps this involves gravitational potential?

The thought experiment:

Two spaceships are passing each other some distance from a star.
Both ships are at relativistic speed, one toward and one away from the star.
Should the total energy observed by each ship be equal?

I observe that the light reaching each ship is not shifted to the same frequency, from which I suspect a difference in energy.

If the energy involved is small but nonzero, does it go anywhere specifically?

Speculation: Gravity and lumens both use the inverse square, so perhaps this involves gravitational potential? Is this just a case breaking energy conservation?

The thought experiment:

Two spaceships are passing each other some distance from a star.
Both ships are traveling at relativistic speed, one toward and one away from the star.
Should the total energy observed by each ship be equal?

I observe that the light reaching each ship is not shifted to the same frequency, from which I suspect a difference in energy.

If the energy involved is small but nonzero, does it go anywhere specifically?

Speculation: Gravity and lumens both use the inverse square, so perhaps this involves gravitational potential?

The thought experiment:

Two spaceships are passing each other some distance from a star.
Both ships are at relativistic speed, one toward and one away from the star.
Should the total energy observed by each ship be equal?

I observe that the light reaching each ship is not shifted to the same frequency, from which I suspect a difference in energy.

If the energy involved is small but nonzero, does it go anywhere specifically?

Speculation: Gravity and lumens both use the inverse square, so perhaps this involves gravitational potential?