iSoul Time has three dimensions

Time Space Glossary

In order to speak with precision about time-space (1D space + 3D time) I’ve had to invent many new terms. I’ve tried to make them parallel to the corresponding space-time (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 & Transportation and Parallel Glossary for Relativity Physics.

Note that the term time has multiple meanings: duration, distime, distimement, 3D time, scalar time. These correspond to the meanings of space: length, distance, displacement, 3D space.

The terms below are presented in this format: term in bold, definition, units, etymology, and in some cases a suggested symbol. Other terms in this glossary are in italics.

acceleration is the change in the displacement per unit of its distimement magnitude. Verb is accelerate with negative decelerate. Faster acceleration is in the direction of motion. Units of m/s². Symbol a.

angular fulmentum for a transicle is the cross product of the particle’s time position vector, w (relative to an origin), and its fulmentum vector, q = nu.

angular momentum for a point particle is the cross product of the particle’s position vector, r (relative to an origin), and its momentum vector, p = mv.

body (space body) of an event is composed of contiguous points.

center of mass is the mean point in space of the particles of an object, weighted by their masses.

center of vass is the mean instant in time of the transicles of a subject, weighted by their vasses.

chronological is ordered by a time line. Greek chron, time.

circular angle is a proportion of a circle between two rays intersecting in a point.

circular direction is the circular angle from a reference ray.

clock (or horologe) is a nonstop stopwatch; it displays the time; clocks should be synchronous (s.v.).

cyclic (or turn) angle is a proportion of a revolution between two rays intersecting in an instant.

cyclic direction is the cyclic angle from a reference ray.

displacement is the vector of distance and circular direction between two points.

distance is the length of linear motion between two points.

distime is the duration of straight motion between two instants.

distimement is the vector of distime and cyclic direction between two instants. From dis+time+ment.

duration is the extent of a motion as measured by a stopwatch.

effort (1/work) is a rush Γ applied over a distimement w: X = Γ·w. Const. rush: X = Γ Δt = Q Δs. Units O·s.

elaphra is the rush exerted on a subject by levity.

energy is the capacity for doing work. Units, J = N·m = W·s. Symbol E.

episode (time body) is composed of continuous instants.

event is a physical occurrence.

exertion is the space (length) rate of effort: Q = dV/ds = Γ·u. Units: 1/J·m = O·s/m.

expedience is the change in the distimement per unit of its displacement magnitude. Verb is expedite with negative de-expedite. Faster expedience is in the opposite direction of motion. Units of s/m². Symbol b.

extent is the range of values.

facilia (linear) is the nonresistance of a subject to a change in its state of movement. Latin for easy.

figure is a substance with vass that occupies a period.

force is the time (duration) rate of change of momentum. Units in newtons, N = kg m s‑2. Symbol F = ma = Δpt.

fulment is the product of a physical quantity such as rush times its distime from or toward an instant or line in time

fulmentum (ful∙men′∙tum) is the legerity weighted by (times) the vass. Latin, prop, support. Units of kg‑1 s m‑1. Symbol q = nu.

gravitation is the mutual force that all bodies have, which is directed toward the body with greater mass.

impetus is a rush Γ applied over a length Δs, or change in fulmentum. Units O·m. Symbol K = Γ·Δs = Δq.

impulse is a force F applied over a duration Δt, or the change in momentum. Units N·s. Symbol J = F·Δt = Δp.

inertia (linear) is the resistance of an object to any change in its state of motion.

instant is an event of minimal or no duration.

instantaneous events occur in an instant.

legerity (le·jer′·i·ty) of a motion is the distimement per unit of its displacement magnitude. Symbol u. Mean legerity is Δws. Puncstanceous legerity is dw/ds = dw/|dr|. From Middle French legereté, quickness or lightness in movement.

length is the extent of a motion as measured by a rigid rod or an odometer.

lethargy is the capacity for effort. Units, 1/J = O·s. Symbol X = 1/E.

levitation is the mutual rush that all bodies have, which is directed toward the body with greater vass.

linear motion is motion with constant circular direction.

macronological is ordered by a stance line. Greek macron, long.

mass is the resistance of an object to a change in its condition of motion when a net force is applied. Units of kg. Symbol m.

matter is a substance with mass that occupies a place.

moment is the product of a physical quantity such as force times its distance from or toward a point or line in space.

momentum (linear) is the velocity weighted by (times) the mass. Latin. Units in kg m s‑1. Symbol p = mv.

motion is a measurable physical change.

motion of an object is a continuous change of its place in space and instant in a time line.

movement of a subject is a continuous change of its period in time and point in a stance line.

object is a body associated with a time.

odologe (o′∙do∙loje) is a nonstop odometer; it displays the stance; odologes should be symmacronous (s.v.).

pace of a motion is the space rate of arc time change, that is, the time interval with respect to a stance line interval without regard to direction. Symbol u. From racing. Units of s/m, min/km, etc. Puncstanceous pace is dt/ds, which equals the magnitude of puncstanceous legerity.

particle (point mass) is (1) a very small object with motion and mass; (2) an idealized point object with space position and mass.

period is an interval of a time line.

placement (or position) of a point is the displacement vector to it from a reference point.

point is an event of minimal or no length.

power is the time (duration) rate of doing work: P = dW/dt = F · v. Units: Watt, W = J/s = N·m/s.

pseudo-duration is measured by length and expressed as time, as with multiplying length by the free-flow pace.

pseudo-length is measured by time and expressed as length, as with multiplying time by the free-flow speed.

puncstanceous events occur in a point.

reference frame is a space-time coordinate system and set of reference points in space-time.

reference timeframe is a time-space coordinate system and set of reference points in time-space.

rotational facilia (fulment of facilia) is the second fulment of vass with respect to distimement w from an axis: J = ∫ w2 dn.

rotational inertia (moment of inertia) is the second moment of mass with respect to displacement r from an axis: I = ∫ r2 dm.

rush is the space (length) rate of change of fulmentum. Units in oldtons, O = kg-1 s m-2. Symbol Γ = nb = Δqs.

simulstanceous events occur at the same odologe reading relative to a reference point.

simultaneous events occur at the same clock reading relative to a reference instant.

space is a 3D geometry of points with distance metric.

space-time is space with a time line (3+1), i.e., space parameterized by time.

speed of a motion is the time rate of arc length change, that is, the length interval with respect to a time line interval without regard to direction. Symbol v. Units of m/s, km/hr, etc. Instantaneous speed is ds/dt, which equals the magnitude of instantaneous velocity.

stance line is a real number line subdivided by an origin (zero) point; the negative side represents distances to events leading up to the origin point; the positive side represents distances to events leading away from the origin point.

straight motion is motion with constant cyclic direction.

stretch is an interval of a stance line.

strophence is the rate of change of angular fulmentum of a subject, σ = Iβ. From Greek strophe, turn + (e)nce.

subject is a body associated with a place.

symmacronous motions have the same periodicity and no phase difference.

synchronous motions have the same frequency and no phase difference.

the stance is an event’s position on the stance line.

the time is an event’s position on the time line.

time (3D) is a 3D geometry of instants with distime metric.

time line is a real number line subdivided by an origin (zero) instant; the negative side represents distimes to events before the origin instant; the positive side represents distimes to events after the origin instant.

timement of an instant is the distimement vector to it from a reference instant.

time-space is (3D) time with a stance line (1+3), i.e., time parameterized by stance.

torque is the rate of change of angular momentum of an object, τ = Iα. Units: N·m.

transicle (point vass) is (1) a very small subject with movement and vass; (2) an idealized point subject with time position and vass. From transi(t) + (parti)cle.

traversal length (arc length) is the length along a path of motion; or the integral of space positions.

traversal time (arc time) is the duration along a path of motion; or the integral of time positions.

vass is the nonresistance of a subject to a change in its condition of movement when a net rush is applied. Inverse of mass. From vast. Units of kg-1. Symbol n.

velocity (vel∙o′∙ci∙ty) of a motion is the displacement per unit of its distimement magnitude. Symbol v. Mean velocity is Δrt. Instantaneous velocity is dr/dt = dr/|dw|. From Latin velocitas, swiftness, rapidity.

weight is the force exerted on an object by gravity.

work is a force F applied over a displacement r: W = F· r. For a constant force: W = F Δs = P Δt. Units: J = N·m.