Pressure of aether
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Corresponding Wikipedia articles: Radiation pressure
The volumetric energy density of an aetheric beam ("Mass and inertia", 1): \[w=\rho v^2\tag{1}\] The absorption of this energy by the surface of area \(S\) makes a work by the force \(F\) on the path \(\Delta L\): \[A=wS\Delta L=F\Delta L\tag{2}\] The total pressure of an aetheric beam is the volumetric density of its energy: \[P=\frac{F}{S}=w=\rho v^2\tag{3}\] According to the material particle model, a non-magnetic surrounding aether or the space is pressing on a particle with the particle beam pressure. Similarly to the beam pressure, this pressure is the average energy density of a particle ("Mass and inertia", 11) : \[P=\frac{E}{V}\approx\frac{1}{V}\left(mc^2+\frac{mv^2}{2}\right)=\rho c^2+\frac{\rho v^2}{2}\tag{4}\] Introducing the relativistic mass concept, the pressure formula simplifies to: \[P=\rho c^2\tag{5}\] The pressure depends on the particle total energy and produces also a potential energy field and a force according to the Euler’s equation: \[\rho\mathbf{\overrightarrow{a}}=-grad\;P\tag{6}\]
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