It has been thought best to introduce new terms for the physics of time-space since although in some respects the concepts are similar to standard terms of physics, in other respects they mean the opposite to those of space-time physics. Here is a compilation:

*legerity* (le·jer′·i·ty) is the rate of change of *distimement* with respect to length. Mean legerity is Δ**w**/Δ*s*. Punctaneous legerity is d**w**/d*s* = d**w**/|d**r**|. From Middle French *legereté*, quickness or lightness in movement. Symbol ℓ or *u*. (cf. velocity)

*fulmentum* is the *legerity* divided by the mass. Cf. momentum. Symbolized by *q*. [was *prolentum, etc.*]

*modal rate* is the pace or speed which is characteristic of a mode of movement or travel in a region or universally. A *modal rate *has the following properties:

(1) The rate is relative to a mode of movement or travel in a region.

(2) The rate reflects the normal conditions of the mode in the region.

(3) The rate serves as a general conversion between space and time for some region or universally.

Speeds less (paces greater) than the modal speed are submodal (cf. subluminal). Speeds greater (paces less) than the modal speed are supermodal (cf. superluminal).

*rush* is the expedience divided by the mass. Cf. force. Symbolized by M.

*pace* is the space rate of change of temporal position of a body without regard to temporal direction. By space rate of change is meant the rate of change per unit of travel distance (trajectory length). Pace comes from Latin *passus*, a step or stride, which relates to the unit of length in the denominator, as when walking or running. Units of s/m, min/mi, etc. Cf. speed.

*expedience* is the rate of change of legerity with respect to the travel length. A negative expedience may be called *de-expedience*. Symbolized by *b*. [was *retardation, relentation, prestination, modulation*]

*space* is the length of a trajectory asynchronously compared with a reference trajectory. Units of metres, etc. Symbolized by *r* (with or without subscripts) or by *x*, *y*, and *z*.

*space mean speed* is the arithmetic average speed of objects over a common trajectory during a specified period of time, i.e., the average travel time divided by the specified length. If speeds are constant, it equals the harmonic average of objects passing a point in space during a period of time (spot speeds).

*space-time* is a four-dimensional continuum with three dimensions of space and one dimension of time.

*time* is the duration of a trajectory synchronously compared with a reference trajectory. Units of seconds, etc. Symbolized by *t* (with or without subscripts).

*time mean speed* is the arithmetic average speed of objects passing a point in space during a specified period of time (spot speeds). Time-mean speeds are commonly used in reference to a single point along a common trajectory, averaged over a time period.

*time-space* is a four-dimensional continuum with three dimensions of time and one dimension of space.

*Galilean time-space* means the measurement of space is the same for all observers, which is called absolute space, whereas the measurement of time is relative to the motion of each observer. The *Galilean time-space transformation* (also called the co-Galilean transformation) is as follows:

speed: *t´* = *t – r/v*,

pace: *t´* = *t – ur*,

and for all other coordinates the primed and unprimed values are equal. The reason the other coordinates are equal may be either because there is no motion in their direction or other directions are not known to exist.

*Lorentz time-space* is the Galilean time-space plus the principle of relativity, so that the *Lorentz time-space transformation* (also called the co-Lorentz transformation) includes a factor, *γ*, in the equation for the direction of motion, along with the modal rate, *c*:

speed: *t′* = *γ* (*t* – *r*/*v*) with *γ* = (1 − *c²*/*v²*)^{–1/2},

pace: *t′* = *γ* (*t* – *ur*) with *γ* = (1 – *u²*/*b²*)^{–1/2},

and equal values for the other corresponding primed and unprimed coordinates. It applies only if |*v*| > |*c*| or |*u*| < |*b*|.

*trajectory* is the path that a body follows through space and time.

*vass* (from *vast*) is the inverse of mass. Units of kg^{-1}. Symbolized by ℓ or *L*.