434 Prof. F. Slate on an 



attempt to use that narrowed Newtonian scheme in electronic 

 dynamics. Is it not one typical or even unique function of 

 the electron to effect reversible transformations between 

 mechanical energy and field-structure ? Restoring duly 

 general form to Newton's relations for energy, momentum 

 and force, leads immediately to an adjustment of relativity 

 and Newtonian dynamics, eliminating alleged contradictions 

 and re-establishing them as two properly equivalent pro- 

 cedures. Let us proceed to exhibit and confirm this, limiting 

 the discussion, however, to the simplest case as a conclusive 

 sample : An electronic particle in progressive rectilinear 

 motion under electromagnetic field-forces. 



Assuming a reference-frame (F), the tangential force (T) 

 when inertia (???) is variable becomes 



T _ d . v do dm /1X 



1= -r [mv) = m -=- + v ~j~ (I) 



dt v ' dt dt w 



Forces of this type are not invariant for frames (U) having 

 unaccelerated translations (u) colinear with (v) ; the so-called 

 "Newtonian transformation " loses validity. For any such 

 frame an apparent force ( r JY) will be determined in relation 

 to the observed force (T ) by 



m f dv , N dm m . dm m ,_ N 



!-,„_+(„_„)_. T.'+.^-T.. . . (2) 



The second equation here is significantly parallel with one 

 connecting gravitation and weight. At the equator these 

 are colinear, and 



^-m^G) 2 ^ 7 ,; W 1 + m 1 rofi=Gt l . . . (3) 



Continuing, write for activity (A) and work (W) 



a_ t dv „dm d' . 2 dm , .. 



A = t ? T = m^+tr- i -=^(im W »)+^ w ; . ... (4) 



W = CvTdt= f ^Umv 2 )dt+ fw~dt 



Jo J o dt Jo at 



= [E]+i|\. 2 5<ft;. (5) 



1=0 Jo dt 

 (E) denoting (molar) kinetic energy. 



The first term gives still the aggregate change of kinetic 

 energy, accommodated, however, to instantaneous values of 

 (??i) as well as of (V). But the second term can represent 

 nothing except transformed work. Frequently, in physically 



