iSoul In the beginning is reality.

Length-Duration Glossary

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

The term space is the space of motion, not merely the space of length or duration. So there is space measured by length – length space – as well as space measured by duration – duration space. Note that the term time has multiple meanings: duration, distime, dischronment, duration space, 3D time, and scalar time.

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 dischronment magnitude; verb is accelerate with negative decelerate; no acceleration is unaccelerated; units of m/s²; symbol a.

alacrity is the ratio of surge per unit of stance: Q = dV/ds = Y·u; units: 1/J·m = O·s/m.

angle direction is the angle from a reference ray.

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

angular fulmentum for a transicle is the fulment of fulmentum, Γ = t × q, the cross product of the particle’s chronation vector, t, and its fulmentum vector, q = nu.

angular momentum for a point particle the moment of momentum, L = r × p, the cross product of the particle’s location vector, r, and its momentum vector, p = mv.

arcloge (arc′∙loje) is a device that measures length, has a standard starting point, continues indefinitely, and displays the length since the starting point, which is called the stance.

body is a physical entity with chronology and macronology.

carrier is any stance with vass that fills an occasion; a measure of the reserve content of a body.

center of mass (or bathycenter) is the normalized moment of mass; R = (1/M) Σi ri mi.

center of vass (or elaphrocenter) is the normalized fulment of vass; T = (1/N) Σi ti ni.

chronation (duration position) of an instant is the dischronment vector to it from the duration origin.

chronology is an ordering of events by their time.

chronometry is the study of duration space.

clock (or horologe) is a device that measures duration, has a standard starting instant, runs indefinitely, and displays duration since the starting instant, which is called the time.

dischronment is a vector of distime and turn direction between two instants.

displacement is a vector of distance and angle direction between two points.

distance (length) scale is a ratio of distance on a map vs. the world.

distance is (1) the length of uniform motion between two points; (2) the magnitude of a displacement vector; symbol s.

distime (time) is (1) the duration of uniform motion between two instants; (2) the magnitude of a dischronment vector; symbol t.

distime (time) scale is a ratio of distime on a map vs. the world.

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

duration origin is a reference instant.

duration space (3D duration) is a Euclidean space of three duration dimensions.

duration-stance is 3D duration space with a stance coordinate (1+3).

elaphra is the rush exerted on a body by levity.

energy is the capacity for doing work; units, J = N·m = W·s; symbol E.

event is a physical occurrence with (often minimum) length and duration.

expedience is the change in the dischronment per unit of its displacement magnitude; verb is expedite with negative de-expedite; no expedience is inexpedienced; units of s/m²; symbol b.

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

force is the duration rate of change of momentum; units in newtons, N = kg m s‒2; symbol F = ma = dp/dt.

fulment is the product of a physical quantity such as vass or rush and its distime from or to an instant.

fulment of facilia is the second fulment of vass; J = Σi ti2 ni.

fulmentum (ful∙men′∙tum) is the vass times the legerity; the length rate of change of the vass-distime fulment; Latin, prop, support; units of kg‒1 s m‒1; symbol q = nu.

geometry is the study of length space.

gravitation is the mutual force that all bodies have, which is directed toward the mutual center of mass.

impetus is a rush Y applied over a length ds, or change in fulmentum; units O·m; symbol K = Y·ds = dq.

impulse is a force F applied over a duration dt, or the change in momentum; units N·s; symbol J = F·dt = dp.

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

instant is an event with effectively zero duration.

instantaneous events occur in an instant.

isochron line represents simultaneous events.

isodistance line represents simulstancesous events.

legerity (le·jer′·i·ty) of a body in motion is the ratio of the dischronment to the change in stance; symbol u; mean legerity is Δts; puncstanceous legerity is dt/ds = dt/|ds|; from Middle French legereté, quickness or lightness in movement.

length is the extent of a motion as measured by a rigid rod or a measuring wheel.

length origin is a reference point.

length space (3D length) is a Euclidean space of three length dimensions.

length-time is 3D length space with a time coordinate (3+1).

levitation is the mutual rush that all bodies have, which is directed toward the mutual center of vass.

location (or length position) of a point in length space is the displacement vector to it from the length origin.

macronology is an ordering of events by their stance.

mass is the resistance of a body to a change in its condition of motion as a net force is applied; inverse of vass; units of kg; symbol m.

matter is any stance with mass that occupies a place; a measure of the energy content of a body.

metre is the SI unit of length, distance, or stance.

metric of motion is the extent of motion as measured by length or duration.

moment is the product of a physical quantity such as mass or force and its distance from or to a point or axis.

moment of inertia is the second moment of mass; I = Σi ri2 mi.

momentum (linear) is the mass times the velocity; the time rate of change of the mass-distance moment; Latin; units in kg m s‒1; symbol p = mv.

motion of a body is a continuous change of its location and chronation.

pace of a motion is the ratio of the time interval to the stance unit or 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 tiny body with mass and motion; (2) an idealized point object with location and mass.

period is a time interval.

point is an event with effectively zero length.

power is the ratio of work per unit of time: P = dW/dt = F · v; units: Watt, W = J/s = N·m/s.

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.

reserve is the capacity for surge; units, 1/J = O·s; symbol Z = 1/E.

rush is the length rate of change of fulmentum; units in oldtons, O = kg‒1 s m‒2; symbol Y = nb = dq/ds.

second is the SI unit of duration, distime, or time.

simulstanceity is the relation between events with the same stance.

simulstanceous events occur at the same stance.

simultaneity is the relation between events with the same time.

simultaneous events occur at the same time.

space of motion is a pair of relatively convertible 3D Euclidean spaces of length and duration position, called location and chronation.

speed of a motion is the ratio of length interval to the time unit or 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 (location radius) is the magnitude of a location vector; the distance between a point and the length origin; Greek macron, long.

stretch is a stance interval.

strophence is the fulment of rush; the rate of change of angular fulmentum of a body, σ = Iβ; from Greek strophe, turn + (e)nce.

surge (1/work) is a rush Y applied over a dischronment t: X = Y·t; for a constant rush: X = Y dt = Q ds; units O·s.

symmacronous arcloges display the same stance.

synchronous clocks display the same time.

time (chronation radius) is the magnitude of a chronation vector; the distime between an instant and the duration origin.

torque is the moment of force; the rate of change of angular momentum of a body, τ = Iα; units: N·m.

transicle (point vass) is (1) a tiny body with vass and motion; (2) an idealized point body with chronation and vass; from transi(t) + (parti)cle.

travel distance (arc length) is the length along a curve of motion; or the integral of locations of a body.

travel time (arc duration) is the duration along a curve of motion; or the integral of chronations of a body.

turn angle is a proportion of a revolution between two rays intersecting in an instant.

turn direction is the turn angle from a reference ray.

vass (or bulk) is the nonresistance of a body to a change in its condition of movement as a net rush is applied; inverse of mass; from vast; units of kg-1; symbol n.

velocity (vel∙o′∙ci∙ty) of a body in motion is the ratio of the displacement of the body to the change in time; symbol v; mean velocity is Δrt; instantaneous velocity is ds/dt = ds/|dt|; from Latin velocitas, swiftness, rapidity.

weight is the force exerted on a body by gravity.

work is a force F applied over a displacement s: W = F· s; for a constant force: W = F ds = P dt; units: J = N·m.