To the pure geometer the radius of curvature is an incidental characteristic - like the grin of the Cheshire cat. To the physicist it is an indispensable characteristic. It would be going too far to say that to the physicist the cat is merely incidental to the grin. Physics is concerned with interrelatedness such as the interrelatedness of cats and grins. In this case the "cat without a grin" and the "grin without a cat" are equally set aside as purely mathematical phantasies.
Arthur EddingtonIt is reasonable to hope that in the not too distant future we shall be competent to understand so simple a thing as a star.
Arthur EddingtonWhatever else there may be in our nature, responsibility toward truth is one of its attributes.
Arthur Eddington