Elementary Calculus - An Infnitesimal Approach by H. Keisler

By H. Keisler

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A few considerations should be added, about t h e fictitious fields in t h e general case of time dependence and magnetic-charge density distributed over a finite region of space. T h e magnetic charge of the pole is now given by (49a) and besides Qm one has to consider also J m which obeys t h e continuity equation (2b). I n this case one has to consider a b u n d l e of strings, each attached t o a v o › lume element where qm=£ 0 and moving along a « sheet» in t h e four-dimensional « w o r l d » .

4 4) give t h e operation often called « duality transformation in t h e strict sense» (or Dirac duality) introduced by DIRA C in his second paper [ 8 ] ( 4 8) m ) Jm r Me j while, for = 9 0 , o n e obviously obtains t h e duality operation in t h e strict sense combined with a change of sign of all quantities. I n this connection it m a y b e noticed that t h e transformation ( 4 ), 42 ¯. e. t h e transforma› tion (44) for = 90 ) and time reversal (see eqs. (49) below). T h e last remark brings us to consider t h e symmetry properties of the generalized eqs.

A second reason is t h a t in t h e meteorite entry into t h e atmosphere t h e i m p o r t a n t surface layer (within a cosmic-ray mean free p a t h of t h e t r u e original surface) is often ablated away. Finally t h e absence in t h e case of t h e M o o n of an atmosphere and of a magnetic field eliminates a n u m b e r of complicated effects which, in t h e case of t h e E a r t h , make difficult to predict with certainty the fate of monopoles. T h e experiments on t h e M o o n materials will be m a d e by A L V A R E Z , E B E R H A R D and W A L T with an electromagnetic detector similar t o t h a t shown in Fig.

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