Lorentz-violating electrodynamics

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In physics, Rosser's equation aids in understanding the role of displacement current in Maxwell's equations, given that there is no ether in empty space as initially assumed by Maxwell. Due originally to William G.V. Rosser,[1] the equation was labeled by Selvan:[2]

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Equation

Rosser's Equation (Equation (19)) is given by the following:

-µ0J + µ0ε0∇∂ɸ/∂t = -µ0(J – ε0∇∂ɸ/∂t) = -µ0Jt

where:

is the conduction-current density,
is the transverse current density,
is time, and
is the scalar potential.

To understand Selvan's quotation we need the following terms: ρ is charge density, A is vector potential, and D is displacement. Given these, the following hold:

ε0 = ρ/[∇(-∇ɸ - ∂A/∂t)]

µ0 = -∇2A/(J + ∂D/∂t)

The term ∂D/∂t is the displacement current that Selvan notes is "hidden away" in Rosser's Equation. Selvan (ibid.) quotes Rosser himself as follows:

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The simplest way is to contact a real estate agent who's a Advertising Workforce Member The agent will doubtless meet to show you details of the undertaking supplied by the developer. Attending a preview doesn't suggest you are obliged to purchase a unit. You can select not to and your cheque will likely be returned to you. No cost concerned. Your cheque will likely be returned to you in the event you decide to not proceed to purchase. Early hen low cost (up to 10%) at the preview earlier than the official launch. The purpose of that is to stimulate demand and to create a buying house in singapore momentum. As soon as this function is achieved, the developer would then take away the low cost so as to maximize his profitability. 2/3/4 bedrooms units obtainable ! GREATEST PURCHASE NOW !!! AVG $1900psf The Key Commercial Cluster in the North Area

References

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  1. Rosser, W.G.V., 1976, December. "Does the Displacement Current in Empty Space Produce a Magnetic Field?" American Journal of Physics, vol. 44, no. 12, pp. 1221-1223.
  2. Selvan, T. Krishnasamy, 2009, June. "A Revisiting of Scientific and Philosophical Perspectives on Maxwell's Displacement Current," IEEE Antennas and Propagation Magazine, vol. 51, no. 3, pp. 36-46.