Detecting Electrons With Electrons

What does,

$\cfrac { \partial ^{ 2 }\, \psi  }{ \partial \, t^{ 2 }_{ c } } =(ic)^{ 2 }\cfrac { \partial ^{ 2 }\, \psi  }{ \partial \, x^{ 2 } } =-c^{ 2 }\cfrac { \partial ^{ 2 }\, \psi  }{ \partial \, x^{ 2 } }$

mean to be a wave in time dimension $t_c$?  Simply, that it has to be detected in the time $t_c$ dimension.  All that is needed is an electric/electronic device.  In the $t_g$ time dimension it is not detected, an weighing machine will not be able to detect the wave, not directly.