iSoul In the beginning is reality

# Conservation of fulmentum

In a recent post, I defined fulmentum as the legerity divided by the mass. Here I show that fulmentum is conserved, as momentum is. I will do this in 1D with a result that may be generalized to 3D time.

Consider the equation of motion for a particle:

(1/m) dℓ/dr = M,

where M is the rush. Multiply both sides by dr:

(1/m) dℓ = dq = M dr,

where dq is a differential of the particle’s fulmentum, q = ℓ/m.

In integral form:

q2q1 = Δq = ∫ M dr.

Consider two interacting particles. For particle 1 we have

dq1/dr = M12,

where M12 is the allowance exerted on particle 1 by particle 2. For particle 2 we have

dq2/dr = M21,

where M21 is the rush exerted on particle 2 by particle 1. By addition,

d(q1 + q2)/dr = M12 + M21 = 0,

using Newton’s third law applied to rush. After integration, we find

q = q1 + q2 = constant,

so that the total fulmentum of the system is a constant of the motion. That is, fulmentum is conserved.

Note: celerity/progressity/allegrity/tempo was changed to legerity, and chrondyne was changed to rush.