Rest mass or inertial mass?

**GOLD527** · #1 July 21st 03 posted to sci.physics.relativity

Subject: Rest mass or inertial mass?
From: (Radi Khrapko)
Date: 7/19/03 4:43 PM US Mountain Standard Time
Message-id:

(GOLD527) wrote in message
...

The definition of {rest mass}, m_0, is given by P = m_0*u for any
4-velocity u. We must perform 1+3 splitting to get observable
quantities. Energy is E = gamma(v)*m_0, 3-momentum is p =
gamma(v)*m_0*v. The definition of {inertial mass} is m = gamma(v)*m_0.
So, p = m*v.

4-force is F = dP/ds =m_0*du/ds = m_0*A where A is 4-acceleration.
An observable 3-force is
f = dp/dt = d(gamma(v)*m_0*v)/dt = m_0*v*d(gamma)/dt + m_0*gamma*dv/dt
= m_0*v*d(gamma)/dt + m*a where a is 3-acceleration. So the Second
Newtonian law does not fit to define the inertial mass. If v is
non-zero, a direction of f may differ from this of a.

Get with the program. see-
http://www.geocities.com/zcphysicsms/chap3.htm
http://www.geocities.com/zcphysicsms/chap5.htm

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