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On the Schwinger Field in the Laser-Matter Interaction
J. Marciak–Kozlowska and M. Kozlowski

In the vicinity of the Ek = mc2 both Einstein and Newton give different values for electrons velocities. The change of the velocity is due to the fact that electrons with Ek>>mc2 are moving in non-Euclidian space-time. The transition from Euclidean space time to non-Euclidean (hyperbolic?) space-time presumably is reflected in the change of the dynamics from Newtonian to Non-Newtonian. This change can be observed with ultrashort laser pulses (∆t<<τ).

Keywords: Laser-matter interaction, ultrashort laser pulses, Schwinger force, Euclidean space-time, Non-Euclidian space-time

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