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A Violation Of Energy Conservation

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Posted by Joseph Roser on March 18, 2001 16:50:26 UTC

To a distant observer a black hole increases in mass only by the energy of particles which fall into it as measured at the defined distant zero position. Gravitational potential energy converts to kinetic energy, or blueshift in frequency, as a particle approaches the event horizon and returns to latency, or redshifts in frequency, as the particle climbs back out of the gravity well. It is observable/measurable in only the one frame of reference, that of the observer near the event horizon, and does not contribute to the increase in mass of the black hole upon particle capture.

Neutrinos carry kinetic energy and nothing, or next to nothing else. The kinetic energy carried by the neutrino converts to rest mass of the daughter particles if the neutrino interacts with a nucleus. The weak nuclear force should not be able to discriminate between the original kinetic energy and the blueshift portion of a neutrino's total kinetic energy near the event horizon. Kinetic energy is kinetic energy, period.

Therefore gravitational potential energy converts to kinetic energy as a neutrino approaches the event horizon and then converts to rest mass if the neutrino interacts with a nucleus. Rest mass is observable in all reference frames and does contribute to the increase in mass of the black hole upon particle capture.

This is very simple. Just two particles and two different energy outcomes depending only on whether the two meet near the event horizon or not. One outcome does not violate energy conservation and one does - unless the boundaries of energy conservation are expanded to allow gravitational potential energy to be made real in all frames of reference through the neutrino/matter interaction mechanism.

There is more to this of course. Neutrino/matter coupling should be much stronger near the event horizon than elsewhere, jets are affected in many ways, and there is potentially profound cosmological impact - as long as kinetic energy is kinetic energy, period.

Note also that this process works equally well for a rotating or a non-rotating black hole and in fact will work in minute amounts for any gravitating body. Reflect and enjoy!

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