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Planck Energy

In physics, the unit of energy in the system of natural units known as Planck units is called the Planck energy, denoted by \(E_P\). \(E_P\) is a derived, as opposed to basic, Planck unit. An equivalent definition is:\(E_P = \hbar / T_P\) where \(T_P\) is the Planck time. Also: \(E_P = m_P c^2\) where \(m_P\) is the Planck mass.

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\(E_\rho = \sqrt{\frac{ \hbar c^5}{G}} \approx 1.936 \times 10^9 J \approx 1.22 \times 10^{28} eV \approx 0.5433 MWh\), where \(c\) is the speed of light in a vacuum, \(\hbar\) is the reduced Planck's constant, and \(G\) is the gravitational constant.

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