iSoul In the beginning is reality.

# Instantaneous time and space speed

This post relates to the previous one here.

Speed is the time rate of distance traversed. Pace is the space rate of elapsed time.

The time speed of a body is the distance traversed per unit of independent time without regard to direction, Δx/. The instantaneous speed is the time speed at a point in space and time: dx(t)/dt. It is the reciprocal of the instantaneous pace, 1/(dt(x)/dx).

The space speed of a body is the independent distance traversed per elapsed time, Δx/Δt. The puncstanceous speed is the space speed at a point in time and space: dx(t)/dt.

The space pace of a body is the traversal time per unit of independent distance without regard to direction, Δt(x)/. The puncstanceous pace is time pace at a point in time and space: dt(x)/dx.

The time pace of a body is the independent traversal time per distance traversed, Δt/Δx(t). It is the reciprocal of time speed. The instantaneous pace is the space pace at a point in space and time: dt/dx(t). It is the reciprocal of the puncstanceous speed 1/(dx(t)/dt).

The time velocity of a body is the displacement traversed per unit of independent time, Δx/. The instantaneous velocity is the time velocity at a point in space and time: dx(t)/dt. It is the reciprocal of the puncstanceous lenticity: 1/(dt(x)/dx).

The space velocity of a body is the independent displacement traversed per elapsed time at a location, Δx(t)/Δt. The puncstanceous velocity is the time velocity at a point in time and space: dx(t)/dt.

The space lenticity of a body is the dischronment per unit of independent length, Δt(x)/. The puncstanceous lenticity is the time lenticity at a point in time and space: dt(x)/dx.

The time lenticity of a body is the independent traversal time per distance traversed, Δtx(t). It is  the reciprocal of time velocity. The instantaneous lenticity is the space lenticity at a point in space and time: dt/dx(t). It is the reciprocal of the instantaneous velocity: 1/(dt(x)/dx).

Addition of time speeds or velocities is with arithmetic addition (+) since the time interval in the denominator is the same for all.

Addition of space speeds or velocities is with harmonic addition ⊕ since the space interval in the numerator is the same for all.

Addition of space paces or lenticities is with arithmetic addition (+) since the space interval in the denominator is the same for all.

Addition of time paces or lenticities is with harmonic addition ⊕ since the time interval in the numerator is the same for all.