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## Main Question or Discussion Point

In Mobius geometry it is assumed that a line is a circle of infinite radius.Does this have any physical significance?

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- Thread starter Layman FJ
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In Mobius geometry it is assumed that a line is a circle of infinite radius.Does this have any physical significance?

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Ssnow

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Mobius transformations transform map every straight line to a line or circle, and map every circle to a line or circle. You obtain these transformations by stereographic projection from a plane to a sphere. In physics they form a group structure well know as ##SL(2,\mathbb{C})## and tell you informations on the group of Lorentz transformations...it is assumed that a line is a circle of infinite radius

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Thanks

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