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.

alacrity (a∙lac′∙ri∙ty) is the nonresistance of an event to a linear 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.

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.

celerity (ce∙ler′∙i∙ty) is the ratio of the distimement to the magnitude of displacement of an event. It is a vector with temporal direction and magnitude, which is a pace. From literary term celerity, swiftness of movement. Units such as s/m or min/km. Symbolized by or u. Mean celerity is Δtr. Instantaneous celerity is dt/dr.

center of vass is the harmonic mean point in time of an event’s points, weighted by their vasses.

distimement (dis∙time′∙ment) is the vector from an initial point in time to a final point in time. From dis + time + ment. Units such as s, hr. Symbolized by t.

effort is a constant gorce, Γ, that moves an event the distimement t: V = Γt.

event is a collection of points in time (eventicles) that can change position over space.

eventicle (point event), also called a point vass, is an idealized entity with vass but no extent in time.

exertion is the space rate of making effort: V/s = Γu.

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.

gorce is the prestination times vass or divided by mass. Units of s kg–1 m–2. Symbolized by Γ = nb.

Lorentz time-space is the relativistic 1D space + 3D time. It includes a factor, γ, along with the modal pace, þ: r′ = γ (rt/u) and t′ = γ (trþ²/u), with γ = (1 – þ²/)–1/2. This applies only if |u| > þ. The superluminal case is: t′ = γ (t – ur) and r′ = γ (rut/þ²) with γ = (1 – /þ²)–1/2, which applies only if |u| < þ.

modal pace is the pace which is characteristic of a mode of travel or motion but independent of any particular motion. It may be the minimum or maximum pace for the mode. It could represent a typical value though that is not strictly independent. It serves as a general conversion between space and time for the mode. Paces greater than the modal pace are submodal (cf. subluminal). Paces less than the modal pace are supermodal (cf. superluminal). Symbolized by þ (thorn).

odologe (o′∙do∙loje) is a device that measures 1D distance continuously. From Greek odo(s), way/path/road + (horo)loge, clock.

pace is the ratio of the magnitude of distimement to the magnitude of displacement of an event. It is a scalar quantity with magnitude but no direction, but it may be a component of a vector. The magnitude of a celerity is a pace. From Latin passus, a step or stride, from the unit of length in the denominator. Units of s/m, min/km, etc. Mean pace is Δtr. Instantaneous pace is dt/dr.

pace of light is the pace of light in a vacuum, which equals 3.335641 ns/m. Symbolized by þ (thorn).

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

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.

reference timeframe is an abstract time-space coordinate system and set of physical reference points in time that uniquely fix the coordinate system and standardize measurements.

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

strophence is the rate of change of angular celentum of an event, σ = Iβ.

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

temporal direction is direction in a 1D + 3D time geometry, which is direction toward an event. Examples: toward the sunrise, toward magnetic north (which moves), toward the final stop (on a transit schedule).

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

time is either (1) the duration of a trajectory synchronously compared with a reference trajectory; (2) distimement; (3) position within a standard of continual change, i.e., a clock. Units of seconds, hours, etc. Symbolized by t (with or without subscripts).

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

travel distance is the 1D distance measured along the world line of a body. Also called proper distance.

vass is the nonresistance of an event to a change in its state of motion when a net gorce is applied; it is the inverse of mass. Units of kg–1. Related to vast, as in sparse mass. Symbolized by n.