TY - JOUR
T1 - A contribution to modern ideas on the quantum theory
JF - Proceedings of the Royal Society of London. Series A
JO - Proc R Soc Lond A Math Phys Sci
SP - 208
LP - 214
M3 - 10.1098/rspa.1927.0086
VL - 115
IS - 770
AU -
AU -
Y1 - 1927/06/01
UR - http://rspa.royalsocietypublishing.org/content/115/770/208.abstract
N2 - The relativity theory of gravitation indicates that space-time is a four dimensional continuum in which the line element is measured by the equation (ds)2 = gmndxmdxn, (1) the notation being that generally adopted. The world-lines or natural tracks of free particles in this space are geodesics. From (1) we have gmn dxm/ds . dxn/ds = 1, (2) the quantity on the left being an expression corresponding to the kinetic energy of ordinary dynamics for a particle of unit mass. This correspondence is readily appreciated if it be noted that dxm/ds is the natural extension of the velocity, dxm/dt.
ER -