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kBTU=ℏa/(2πc)k_B T_U = \hbar a / (2\pi c)

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When any of the coefficients βjk\beta_{jk} is nonzero, the vacuum of the a -decomposition is a many-particle state of the a~\tilde a -decomposition, and vice versa: “how many particles are present” is a question whose answer depends on which set of modes was declared fundamental, not on the field configuration by itself. Fulling showed this could happen already in flat, static coordinates on two-dimensional Minkowski space, purely from a nonstandard but perfectly legitimate choice of time coordinate [ 2 ] . Davies showed the same mixing follows Hawking’s black-hole derivation into the Rindler wedge of ordinary flat spacetime, associating a temperature with the horizon an accelerated observer…

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kBTU=ℏa/(2πc)k_B T_U = \hbar a / (2\pi c)

Equation 5 · Evolutionary Physics

No Particle Without a Cosigner

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

When any of the coefficients βjk\beta_{jk} is nonzero, the vacuum of the a -decomposition is a many-particle state of the a~\tilde a -decomposition, and vice versa: “how many particles are present” is a question whose answer depends on which set of modes was declared fundamental, not on the field configuration by itself. Fulling showed this could happen already in flat, static coordinates on two-dimensional Minkowski space, purely from a nonstandard but perfectly legitimate choice of time coordinate [ 2 ] . Davies showed the same mixing follows Hawking’s black-hole derivation into the Rindler wedge of ordinary flat spacetime, associating a temperature with the horizon an accelerated observer…

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