iSoul In the beginning is reality.

Space-Time Glossary

In order to speak with precision about base-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.

Note that the term time has multiple meanings: duration, distime, dischronment, and timeline. The term space also has multiple meanings: length, distance, displacement, and baseline.

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 baseline: Q ≡ dV/ds = G·u; units: 1/J·m = O·s/m.

angle (θ or ϕ) is a proportion of a circle between two rays intersecting in a point.

angle direction is the angle from a reference ray.

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

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

base is the length variable of an independent uniform motion, equal to the location vector magnitude of simulbasal points; symbol r or s; adjective basal.

baseline is an ordering of events by their basepoint, relative to an origin point.

basepoint is a base value.

body is a physical entity with a baseline and a timeline.

carrier (wave) is a body 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 origin instant; symbol t.

chronometry is the study of duration space.

chronus is the set of all instants meeting some criteria.

circular motion: base circumference S = wavelength λ = v/f; circular arc s; base radius R; length angle θ = s/R; frequency f = 1/T = v/λ; angular velocity v = S/T = λf; if S = 1, then v = f; if R = 1, then v = ω = 2πf = θ/t.

clock (or horologe) is a device that continually displays the present timepoint and runs indefinitely.

cyclic motion: time period T = wave duration μ = u/h; rotation time t; time radius Q; duration angle ϕ = t/Q; periodicity h = 1/S = u/μ; angular legerity u = T/S = μh; if T = 1, then u = h; if Q = 1, then u = ψ = 2πh = θ/s.

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 (space interval) is (1) the length of uniform motion between two points in 3D space; (2) the absolute difference between two base values; or (3) the magnitude of a displacement vector; symbol s.

distime (time interval) is (1) the duration of uniform motion between two instants in 3D time; (2) the absolute difference between two time values; or (3) the magnitude of a displacement vector; symbol s.

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

duration origin is a reference instant.

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

duration-baseline is 3D duration space with a baseline (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 location and chronation.

event order is a baseline or timeline.

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.

facilial system has bodies at rest or moving with constant legerity.

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

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.

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

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

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

inertial system has bodies at rest or moving with constant velocity.

instant is an event with effectively zero duration.

instantaneous events occur in one timepoint.

isochron line shows equidistimed events.

isodistance line shows equidistant events.

kinetic energy KE = ½ mv².

kinetic reserve KR = ½ nu².

legerity (le·jer′·i·ty) of a body in motion is the ratio of its dischronment to the change in baseline; symbol u; mean legerity is Δts; puncbasal 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 scale is a ratio of distance on a map vs. the world.

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

length-timeline is 3D length space with a timeline (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 origin point; symbol s.

locus is the set of all points meeting some criteria.

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 (particle) is a body with mass that occupies a place; a measure of the energy content of a body.

metre is the SI unit of length, distance, space interval or base interval.

metrloge (metr′∙loje) is a device that continually displays the present basepoint and continues indefinitely.

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 manifold is a 2 × 3D Euclidean manifold of ordered pairs of length and duration position, called location and chronation.

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

pace of a motion is the ratio of its duration to the base unit or interval without regard to direction; symbol u; from racing; units of s/m, min/km, etc.; puncbasal pace is dt/ds, which equals the magnitude of puncbasal legerity.

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.

puncbasal events occur in one basepoint.

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 (lethargy) 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 G ≡ dq/ds, e,g., nb.

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

simulbaseity is the relation between events with the same basepoint; adjective simulbasal.

simultaneity is the relation between events with the same timepoint; adjective simultaneous.

speed of a motion is the ratio of its length 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.

stretch is a baseline 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 G applied over a dischronment t: XG·t; for a constant rush: X = G dt = Q ds; units O·s.

symbasal arcloges display the same basepoints; verb symbasalize to make symbasal.

synchronous clocks display the same timepoints; verb synchronize to make synchronous.

time is the duration variable of an independent uniform motion, equal to the chronation vector magnitude of simultaneous instants; symbol t; adjective temporal.

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

timeline is an ordering of events by their timepoint, relative to an origin instant.

timepoint is a time value.

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

travel distance (arc length) is the length along a curve.

travel time (arc duration) is the duration along a curve.

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

turn direction is the turn angle from a reference ray.

vass (or spread) 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 its displacement to the change in time; symbol v; mean velocity is Δrt; timepoint (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: WF· s; for a constant force: W = F ds = P dt; units: J = N·m.