The Magic of Translation: From Black Holes to Electricity ⚡ экспресс
Within the Kerr-Schild double copy, static spherically symmetric black hole solutions of general relativity map to purely electric solutions of Maxwell’s theory in flat spacetime. It is shown that for these configurations, the Smarr thermodynamic formula is structurally identical to Gauss’s law in the electromagnetic copy. When extending to asymptotically anti-de Sitter spaces, it is proven that the thermodynamic pressure-volume term naturally arises from the gauge subtraction of the background. This connection points to a nontrivial unity of the classical double copy and black hole thermodynamics.
Physicists have learned to translate the equations of gravity into the language of electricity. This trick—double copy—works like a dictionary: it replaces the complex geometry of curved spacetime with simple electrical rules. When the method was applied to the simplest black holes, a coincidence emerged: the formula linking their mass, size, and entropy (a measure of disorder) exactly mirrors Gauss's law—the rule by which a charge creates a field around itself. Two different phenomena are described by the same mathematical pattern.
The double copy turns Einstein's equations into Maxwell's equations. Back in the 1970s, Hawking proved that black holes radiate heat. Now, that heat can be 'heard' in the language of electricity.
🎯 If a black hole with the mass of the Sun were to evaporate due to Hawking radiation, it would take 10^67 years—billions of billions of times longer than the current age of the Universe.
🎬 In 'The Matrix,' reality is code. Here too: gravity and electricity might be different interfaces of a single hidden layer.