TITLE: Basic aspect of relativistic rotation: Franklin rotation of a sphere

SOURCE: Foundations of Physics, v. 33, No. 9 , pp. 1369-1372 ( September 2003).

ABSTRACT: We give a relativistic treatment to the dynamics of spherical
bodies rotating at very
high speed. It is found that most of the mass of a
homogeneous spherical quark with Franklin
rotation, is due to the
relativistic increase of the mass.

9 references:

Franklin, P., "The meaning of rotation in the special theory of
relativity,"
Proceedings of the National Academy of Sciences of the
USA, v. 8, pp. 265-268 (1922)

and more 8 references.

KEY WORDS: relativity; Franklin rotation; relativistic mass.

COMMENT: Lectured 25.6.2002 in
__
IARD2002 Conference__
.

Cited by

Oziewicz, Zbigniew

"Rival theories of relativity: Groupoid relativity versus Lorenz-group relativity,
Non-reciprocal velocity versus reciprocal velocity" (129 pp.)

Short background:

Philip Franklin (1898-1965) was the first to recognize that in relativistic
rotation the
Newtonian formula

*v=ω r*

is not valid. Instead, Franklin showed (1922) that for relativistic rotation
the correct
formula is:

*v=c* tanh*(ω r/c)*

Franklin's formula obeys the requirement of relativity that the
circumferential velocity
*v* never exceeds the velocity of light *c*,
for any radius *r* and
angular velocity *ω*.