In order to speak with precision about the distance domain I’ve had to invent many new terms. I’ve tried to make them parallel to the corresponding time domain terms and to follow scientific practice of using Greek and Latin roots. These new terms are placed parallel to their corresponding terms in this pdf: Parallel Glossary for Classical Physics.
The terms below are from the Parallel Glossary for Classical Physics 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 time rate of velocity variation; verb accelerate; negative is decelerate; zero is unaccelerated; instantaneous acceleration is the derivative of velocity with respect to time, dv/dt; symbol a; units of m/s².
angular levamentum for a tempicle chronocosm point is the punctum of levamentum, Γ ≡ t × h, the cross product of the tempicle’s chronation vector, z, and its levamentum vector, h = nw.
angular momentum for a particle chorocosm point is the moment of momentum, L ≡ x × p, the cross product of the particle’s location vector, x, and its momentum vector, p = mv.
arc duration is the duration along a curve in duration space.
arc length is the length along a curve in length space.
arithmetic addition is scalar or vector addition; symbol +, for adding rates with a common denominator.
body is a continuous set of point masses or vasses.
centre of mass (or barycentre) is the normalized moment of mass; M = Σi xi mi/Σi mi.
centre of vass (or elaphrocentre) is the normalized punctum of vass; N = Σi zi ni/Σi ni.
chorology is the order of events over elapsed distance.
chronation is a position vector to a point of duration space; symbol z (cf German Zeit).
chronology is the order of events over time.
circular motion: circumference S = wavelength λ = 1/h = v/f; circular arc s; length radius R; length angle θ = x/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-rod is a measuring device with two adjacent rods in relative uniform motion at the clock rate; marks are at regular intervals on each rod.
cyclic motion: period T = wavetime μ = 1/f = w/h; rotation duration t; duration radius Q; duration (turn) angle ψ = z/Q; periodicity h = 1/S = w/μ; angular lenticity w = T/S = μh; if T = 1, then w = h; if Q = 1, then w = κ = 2πh = θ/s.
diachronic events occur through the time domain.
diatopic events occur through the distance domain.
differential distance (ds)² = (dx1)² + (dx2)² + (dx3)².
differential time (dt)² = (dz1)² + (dz2)² + (dz3)².
direction is a position toward which a body moves.
dischronment is a vector from one point to another in duration space.
displacement is a vector from one point to another in length space.
distance is the magnitude of a displacement.
distance domain is elapsed distance with duration space.
distime is the magnitude of a dischronment.
duration frame is a 3D lattice of clock-rods as an ℝ3 × ℝ coordinate system with each duration rod at rest relative to an observer and the length rod.
duration is the interval between two points on a duration frame indicated by a point on its length frame.
duration space is the 3D vector space of a duration frame.
dynacosm is the six-dimensional world of weighted motion measured by length with time and mass along with duration with elapsed distance and vass.
elapsed distance is an independent distance; symbol s.
elapsed time is the arc duration of motion in duration space.
energy: the capacity for doing work; units, J ≡ N·m = W·s; symbol E; energy is conserved over time.
equidistant events are an equal distance apart or an equal distance from a common point; vb. equidistancise, to make equidistant.
event (eventicle) is an occurrence; specifically, a point in a frame of reference.
event space is length and duration space.
facilia is the nonresistance of a body to a change in its state of motion; Latin for easy.
facilial frame is a duration frame in which free particles have no relentation.
force is the agency that tends to change the momentum of a body; time rate of change of momentum; units in newtons, N = kg m s−2; symbol F ≡ dp/dt, eg: ma.
frame of reference is a method to project every event onto a coordinate system.
gravitation is the mutual force that all bodies have, which is directed toward their mutual centre of mass.
harmonic addition (or reciprocal or parallel addition) is the reciprocal of the addend reciprocals; symbol ⊞, for adding rates with a common numerator.
harmonic lenticity is the reciprocal of velocity, which adds harmonically.
harmonic pace is the reciprocal of speed, which adds harmonically.
harmonic speed is the reciprocal of pace, which adds harmonically.
harmonic velocity is the reciprocal of lenticity, which adds harmonically.
impulse is a force F applied over a time dt, or the change in momentum; units N·s; symbol J ≡ F·dt = dp.
inertia is the resistance of a body to any change in its state of motion.
inertial frame is a length frame in which free particles have no acceleration.
instantaneous event occurs in a single time point.
isochron (contour) line links simultaneous events.
isodistance (contour) line links equidistant events.
kinecosm is the six-dimensional world of motion measured by length and duration.
kinetic energy KE = ½mv².
kinetic lethargy KL = ½nw².
length frame is a 3D lattice of clock-rods as an ℝ3 × ℝ coordinate system with each length rod at rest relative to an observer and the duration rod.
length is the interval between two points on a length frame indicated by a point on its duration frame.
length scale (or distance scale) is a ratio of map length vs actual length.
length space is the 3D vector space of a length frame.
length-duration domain is the domain with length and duration independent (elapsed time and distance can be secondary independent variables).
lenticity is the elapsed distance rate of dischronment, Δz/Δs; punctaneous lenticity is the derivative of the duration trajectory with respect to elapsed distance, dz/ds; symbol w; from Latin lentus, slow.
lethargy is the capacity for repose; units, 1/J ≡ O·s; symbol D = 1/E; lethargy is conserved over elapsed distance.
levage is the release exerted on a body by levity (from French).
levamentum is the inverse momentum, vass times the lenticity; the distance rate of change of the vass-time punctum; plural, puncta; Latin, point; units of kg−1 s m−1; symbol q = nw.
levitation is the mutual release that all bodies have, which is directed toward their mutual centre of vass.
location is position vector to a point of length space; symbol x.
mass is a measure of a body’s inertia; 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 a body with mass and 3D length; a measure of the energy content of a body.
moment is the product of a physical quantity such as mass or force and its distance from/to a space point/axis.
moment of inertia is the second moment of mass; I ≡ Σi xi2mi.
momentum (linear) is the mass times the velocity; the time rate of change of the mass-distance moment; plural, momenta; units in kg m s−1; symbol p = mv.
motion is a continuous change of a body’s position.
pace of a body is the elapsed distance rate of dischronment magnitude, Δz/Δs; punctaneous pace is the magnitude of the instantaneous lenticity, |dz/ds|; symbol w; units of s/m; from racing (cf ritmo).
patter is a body with vass and 3D duration; a measure of the lethargy content of a body.
phase ϕ is displacement at an initial or given time.
placidity is the elapsed distance rate of repose effected: Q ≡ dV/ds = R·u; units: 1/J·m = O·s/m.
point mass (or particle) is a weighted length-time point.
point vass (or tempicle) is a weighted duration with elapsed distance point.
position is a reference to a point of the kinecosm, ℝ3 × ℝ3; an ordered pair of the location and chronation of the same event.
posture χ is dischronment at an initial or elapsed distance.
power is the time rate of work done: P ≡ dW/dt = F ·v; units: Watt, W = J/s = N·m/s.
punctaneous event occurs in a single elapsed distance point.
punctum is the product of a physical quantity such as vass or release and its time from/to a time point.
punctum of facilia is the second punctum of vass; J ≡ Σi zi2ni.
release is the agency that tends to change the levamentum of a body; elapsed distance rate of change of levamentum; units in oldtons, O = kg−1 s m−2; symbol R ≡ dq/ds, eg: nb.
relentation is the elapsed distance rate of lenticity variation; verb relentate; negative is derelentate; zero is unrelentated; punctaneous relentation is the derivative of lenticity with respect to elapsed distance, dw/ds; symbol b; units s/m²; Sp.
remove is a release G applied over a elapsed distance dx or change in levamentum; units O·m; symbol K ≡ R·ds = dh.
repose is a release R = F−1 applied over a dischronment z: Z ≡ R·z; for a constant release: Y = R dw = Q ds; units O·s.
simuldistance events occur at the same elapsed distance; n. simuldistanceity.
simultaneous events occur at the same time; n. simultaneity.
speed of a body is the time rate of displacement magnitude, Δx/Δt; instantaneous speed is the magnitude of the instantaneous velocity, |dx/dt|; symbol v; units of m/s, etc.
strophence is the punctum of release; the rate of change of angular levamentum, σ = Iβ = z ∧ R; from Greek strophe, turn + (e)nce.
synchronous events are an equal time apart or from a common event; vb. synchronise, to make synchronous.
time domain is time with length space, ℝ3 × ℝ.
time is an independent duration; symbol t.
time scale (or duration scale) is a ratio of map duration vs actual duration.
torque is the moment of force; the rate of change of angular momentum, τ = Iα = x ∧ F; units: N·m.
vass measures a body’s facilia; nonresistance of a body to a change in its condition of motion as a net release is applied; inverse of mass; from inverse mass; units of kg−1; symbol n.
velocity is the time rate of displacement, Δx/Δt; instantaneous velocity is the derivative of the length trajectory with respect to time, dx/dt; symbol v; from Latin velocitas, rapidity.
weight is the force exerted on a body by gravity.
work is a force F applied over a displacement x: W ≡ F· x; for a constant force: W = F dx = P dt; units: J = N·m.