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.

alacrity (linear) is the nonresistance of a time body (or vehicle) to a change in its state of motion.

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).

body (or space body) is a collection of points in 3D space that can change space position while the time increases.

celentum (ce∙len′∙tum) is the vass times the celerity. From Latin cele(r), swift, + (mome)ntum. Units of s kg–1 m–1. Symbolized by q = nu (cf. momentum)

celerity (ce∙ler′∙i∙ty) is the ratio of the distimement of a motion to the distance of the same motion. It is a vector with temporal direction and magnitude (which is a pace). From Latin celeritas, swiftness. Symbol u. Mean celerity is Δtr. Instantaneous celerity is dt/dr. (cf. velocity)

center of vass is the mean point in 3D time of the time particles of a time body (or vehicle), weighted by their vasses.

distance is that which is measured by a ruler, or by the difference between two positions on an odologe. Units of length in metres, etc. Symbol r.

distimement (dis∙time′∙ment) is a vector from an initial point to a final point in 3D time. From dis + time + ment. Symbol t. (cf. displacement)

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

effort is a constant surge, Γ, that moves a time body (or vehicle) the distimement t: V = Γt. (cf. work)

eventicle (point vass) is (1) an idealized entity with time position and vass only, or (2) a very small time body. (cf. particle)

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

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.

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

modal pace is the pace of the mode of observation. It is independent of any observed motion. 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).

odologe (o′∙do∙loje) is a means to measure distance indefinitely, such as a measuring wheel. From Greek odo(s), way/path + (horo)loge, clock. A reading on an odologe is the space length. (cf. a clock)

pace is the ratio of the duration of motion to the distance of the same motion. It is a scalar quantity with magnitude but no direction. The magnitude of a celerity is a pace. A racing term. Units of s/m, min/km, etc. Mean pace is Δtr. Instantaneous 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).

plime is a particular portion of 3D time, whether of definite or indefinite extent. From pl(ace) + (t)ime. (cf. place).

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

prestination (pres∙ti∙na′∙tion) is the rate of change of celerity with respect to the magnitude of displacement. Negative prestination is deprestination. Verb is prestinate. From Italian, presto, quickly. Units of s/m². Symbolized by b (cf. acceleration)

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

space length (or 1D space) is what is measured by a reference odometer. (cf. time)

strophence is the rate of change of angular celentum of a time body (or vehicle), 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)

synmacronize means to calibrate measuring rods for 3D time + 1D space. From syn + macron + ize (“to occur at the same length”) (cf. synchronize)

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

tempus is a location in time, or the set of all points in 3D time whose location is determined by specified conditions. From the Latin word for time.

time body (or vehicle) is a collection of related points in 3D time that move together. In some contexts a time body is an event.

time motion is a continuous change of the time position of a time body (or vehicle) as its distance increases.

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 time body (or vehicle) to a change in its state of motion when a net surge is applied; it is the inverse of mass. Units of kg-1. Related to vast, as in sparse mass. Symbol ℓ. (cf. mass)