iSoul In the beginning is reality

Time Space Glossary

In order to speak with precision about 3D time + 1D space I’ve had to invent many new terms. I’ve tried to make them parallel to the corresponding 3D space + 1 D time terms and to follow scientific practice of using Greek and Latin roots. These new time-space terms are placed parallel to their corresponding space-time terms in two pdf’s, Parallel Glossary for Classical Physics and Parallel Glossary for Relativity Physics.

The terms below are presented in this format: term in bold, definition, units, etymology, corresponding 3D space + 1D time term, and in some cases a suggested symbol. Other terms in this glossary are in italics. Space (length, distance) is symbolized by r and time (duration) is symbolized by t. The speed of light in a vacuum is symbolized by c. Velocity and speed are symbolized by the letter v.

3D position space (or 3D space) is a 3D vector space of space position vectors.

3D time position space (or 3D time) is a 3D vector space of time position vectors.

allegrity (al∙leg′∙ri∙ty) is the space rate of change of the distimement of a motion. A vector with direction in 3D time and magnitude. From allegr(o) + (veloc)ity. Symbol u. Mean allegrity is Δtr. Punctaneous allegrity is dt/dr. (cf. velocity)

angular celentum for a point particle is the cross product of the particle’s time vector, t (relative to some origin), and its celentum vector, q = nu. (cf. angular momentum)

arc length (or 1D space) of a body in motion is the length along the curve it traces out. Measured by an odologe or odometer symmacronized with the motion.

body is a collection of related points in 3D space that rest or move together and has mass.

celentum (ce∙len′∙tum) is the progressity weighted by (times) the vass. From Latin cel(er), swift + –entum. Units of s kg-1 m-1. Symbol q = nu.

center of vass is the mean point in 3D time of the moticles of a movement, weighted by their vasses.

distimement (dis∙time′∙ment) is the directed duration or vector difference between two instants in 3D time. From dis + time + ment. Symbol t.  (cf. displacement)

energy in 1+3 dimensions is a substance that has vass and occupies time.

epimony is the capacity for persistence.

exertion is the space rate of making effort: V/s = Γu (cf. power)

facilia (linear) is the nonresistance of a movement to a change in its state of motion. (cf. inertia)

figure is a substance with vass that occupies 3D time. (cf. matter)

Galilei (or Galilean) time-space is a context in which the measurement of space is the same for all observers (i.e., absolute space), whereas the measurement of time is relative to the motion of each observer. The Galilean time-space transformation is: = t – ur, and for all other coordinates the primed and unprimed values are equal.

length or distance is what is measured by a ruler, or by the difference between two readings on an odologe. Units of length in meters, kilometers, etc. Symbol r.

Lorentz time-space is the relativistic 1D space + 3D time. It includes a factor, γ, along with the modal pace, ç: r′ = γ (rt/u) and t′ = γ (trç²/u), with γ = (1 – ç²/)–1/2. This applies only if |u| > ç. The superluminal case is: t′ = γ (t – ur) and r′ = γ (rut/ç²) with γ = (1 – /ç²)–1/2, which applies only if |u| < ç.

matter in 3+1 dimensions is a substance that has mass and occupies space. (cf. figure)

modal pace is the pace of the mode of observation. It is independent of any observed movement. It serves as a general conversion between time and space. Paces greater than the modal pace are submodal (cf. subluminal). Paces less than the modal pace are supermodal (cf. superluminal). Symbolized by ç (c-cedilla).

modulation (mod∙u∙la′∙tion) is the space rate of change of progressity of a movement. Negative modulation is demodulation. Verb is modulate. Units of s/m². Symbolized by b (cf. acceleration)

moticle (point vass) is (1) a very quick movement with vass or other property; (2) an idealized instant movement with time position and vass. From mot(ion) + (part)icle.

motion in time is a continuous change of the time position of a movement as its arc length increases.

movement is a collection of related points in 3D time that move together and has vass.

odologe (o′∙do∙loje) is a nonstop length-measuring device symmacronized with a common point in space at a constant rate. From Greek odo(s), way/path + (horo)loge, clock.

odometer is a length-measuring device with start and stop capability, normally symmacronized with a motion.

pace is the space rate of movement, the ratio of the arc time per unit arc length. It is a scalar quantity with magnitude but no direction. From racing. Units of s/m, min/km, etc. Mean pace is Δtr. Punctaneous pace is dt/dr. (cf. speed)

pace of light is the pace of light in a vacuum, which equals 3.335641 ns/m. Symbolized by ç (c-cedilla).

persistence is a constant surge, Γ, that changes a movement the distimement t: V = Γt. (cf. work)

position (or space position) is a point in a 3D Euclidean space of distances. Represented by a position vector, r.

rotational facilia (moment of facilia) is the second moment of vass with respect to time from an axis, t: J = ∫ t2 dn (cf. moment of inertia)

strophence is the rate of change of angular celentum of a movement, σ = Iβ. From Greek strophe, turn + (e)nce. (cf. torque)

surge is the space rate of change of celentum. Units of s kg-1 m-2. Symbol Γ = nb. (cf. force)

symmacronized movements occur with the same amount of length (or distance). From sym + macron + ize. (cf. synchronize)

temporal direction is direction in a time space, an angle measured from a reference ray in 3D time.

time or duration is what is measured by a stopwatch, or by the difference between two readings on a clock. Units of time in seconds, hours, etc. Symbol t.

time position (or time) is a point in a 3D Euclidean space of durations. Represented by a time vector, t.

time-space is a four-dimensional continuum with one dimension of distance and three dimensions of time. (cf. frame of reference).

vass is the nonresistance of a movement to a change in its condition when a net surge is applied; it equals the inverse of mass. Related to vast, as in sparse mass. Units of kg-1. Symbol n.