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Sunday, July 27, 2014

Terminal Velocity Revisited

Terminal velocity in a helical path,

Terminal velocity as defined is translation along c1,

Terminal Velocity = c1

Not c2 which is circular speed, changing direction all the time.  Nor it is c the instantaneous resultant of c1 and c2

c2=c21+c22

Light speed will be c1.  But terminal velocity as a limiting velocity, as a consequent of space density/viscosity then it should be c.  That is,

c2dragforce

Terminal Velocity = c    and
                                         
c>c1

But c1 is the measured value, as such light speed is less than c.  By symmetry,

c1=c2  

because moving in one direction is the same as moving in another in uniform space.

 c2=2c21

c=2c1=2.lightspeed

The actual terminal velocity of space is 2.lightspeed.  This is the velocity by which electrons orbit around the nucleus.  This is also the velocity that prevents the atom from collapsing.

me.2c2ro=q24πεor2o    and

ro=q28πεomec2<rn

where rn is the radius of the positive nucleus.

In these expressions, c2 has been replaced with 2c2 and in the case for c, to be replaced by 2c.  The speed limit for charge particles in general is 2c.