Two key expressions for time domain dynamics are the momentum and the kinetic energy. Here we derive the corresponding distance domain expressions, which are called the levamentum and the kinetic lethargy.
The momentum and kinetic energy are the force through time or space:
momentum = mv = F Δt, an
kinetic energy = mv²/2 = F Δs,
where m = mass, v = velocity, F = force, t = duration, and s = distance.
Since F = ma, these formulae come from the related kinematic formulae without mass:
v = a Δt and v²/2 = a Δs,
where a = acceleration, with initial distance and velocity zero.
The corresponding temporo-spatial kinematic formulae are these:
w = b Δs and w²/2 = b Δt,
where w = lenticity and b = relentation, with initial duration and lenticity zero.
These formulae may be multiplied or divided by mass to get the desired result. Since velocity and lenticity are inversely related, the form of mass should also be inversely related. Thus these formulae should be divided by the mass, or multiplied by the inverse of the mass, which I’m calling the vass.
Since R = b/m = nb, the corresponding distance domain dynamic formulae are:
levamentum = w/m = nw = R Δs, and
kinetic lethargy = w²/2m = nw²/2 = R Δt,
where R = release, the temporo-spatial form of force and n = vass, the inverse of mass.
The kinetic energy and kinetic lethargy are related:
1/kinetic energy = 2/mv² = 2nw² = 4(nw²/2) = 4 × kinetic lethargy.