On the conversion of rest energy in horizon energy

Details On the conversion of rest energy in horizon energy On the conversion of rest energy in horizon energy

2010-05-10

arxiv.org/abs/1005.1570v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures, minor changes, two refs added

Scientific paper

It is shown that the Verlinde formula for the entropy variation of a holographic screen is a consequence of the conversion of the particle energy in horizon energy. The special role played by the particular displacement $\Delta x = c^{2}/a$ is emphasized, $a$ being the particle acceleration. Using the Heisenberg Principle we show that the energy on the causal horizon (viewed as a holographic screen) of an inertial observer is proportional to its radius, as for a black hole.

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