In order to speak with precision about the chronocosm I’ve had to invent many new terms. I’ve tried to make them parallel to the corresponding chorocosm 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; verb accelerate; negative is decelerate; zero is unaccelerated; instantaneous acceleration is the derivative of velocity with respect to independent 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 point vasses.
carrier is a body with vass that takes time; a measure of the lethargy content of a body.
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.
chorocosm is a world of length space with time, ℝ3 × ℝ.
chronation is a reference to a point of duration space; symbol z (cf German Zeit).
chronocosm is a world of duration space with stance, ℝ3 × ℝ.
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/pointers 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 chronocosm.
diatopic events occur through the chorocosm.
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 or the arc length along a curve in length space.
distime is the magnitude of a dischronment or the arc duration along a curve in duration space.
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 pointing to its length rod value.
duration is the interval between two points on the duration frame indicated by a mark on the length frame.
duration space is the 3D vector space of a duration frame.
dynacosm is the six-dimensional world of weighted motion.
elapsed stance is the arc length along a path between two points.
elapsed time is the arc duration along a path between two events.
energy: the capacity for doing work; units, J ≡ N·m = W·s; symbol E; energy is conserved over time.
event is an occurrence; specifically, a point in a frame of reference.
facilia is the nonresistance of a body to a change in its state of motion; Latin for easy.
facilial frame bodies are not relented unless acted upon by external releases.
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 bodies are not accelerated unless acted upon by external forces.
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 simuldistant 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 pointing to its duration rod value.
length is the interval between two points on the length frame indicated by a mark on the duration frame.
length scale (or distance sc) is a ratio of map length vs actual length.
length space is the 3D vector space of a length frame.
lenticity (len·tic′·i·ty) is the stance rate of dischronment, Δz/Δs; punctaneous lenticity is the derivative of dischronment with respect to stance, 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 distance.
levage is the release exerted on a body by levity (from French).
levamentum is the inverse momentum, vass times the lenticity; the stance 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 a reference 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 that occupies a place; a measure of the energy content of a body.
metre is the SI unit of length, stance, and distance.
moment is the product of a physical quantity such as mass or force and its length 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-length moment; plural, momenta; units in kg m s−1; symbol p = mv.
motion is a continuous change of a body’s position.
pace is the stance rate of change of chronation apart from direction, Δz/Δs; punctaneous pace is the differential change of chronation with respect to stance: dz/ds; symbol w; units of s/m; from racing (cf ritmo).
paradistance (or stance) is a reference distance or the distance of a reference particle in uniform motion, symbol s.
paradistime (or time) is a reference distime or the distime of a reference tempicle in uniform motion (cf a clock); symbol t.
particle is a very small body similar to a point mass.
phase ϕ is displacement at the initial time.
placidity is the stance rate of repose effected: Q ≡ dV/ds = R·u; units: 1/J·m = O·s/m.
point mass is a weighted chorocosm point.
point vass is a weighted chronocosm point.
position is a reference to a point of the kinecosm, ℝ3 × ℝ3.
posture χ is dischronment at the initial stance.
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 stance 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; stance rate of change of levamentum; units in oldtons, O = kg−1 s m−2; symbol R ≡ dq/ds, eg: nb.
relentation is the stance rate of lenticity; verb relentate; negative is derelentate; zero is unrelentated; punctaneous relentation is the derivative of lenticity with respect to stance, dw/ds; symbol b; units s/m²; from Spanish for slow down.
remove is a release G applied over a 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.
second is the SI unit of duration, time, and distime.
stance – see paradistance.
simuldistant events all occur at the same stance; n. simuldistance.
simultaneous events all occur at the same time; n. simultaneity.
speed of a body is the time rate of change of location apart from direction, Δx/Δt; instantaneous speed is the differential change of location with respect to time, 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 occur at the same times; vb. synchronise, to make synchronous.
syndistant events occur at the same stances; vb. syndistantise, to make syndistant.
tempicle is a very brief body similar to a point vass.
time – see paradistime.
time scale (or duration sc) 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 (in)v(erse) (m)ass; units of kg−1; symbol n.
velocity is the time rate of displacement, Δx/Δt; instantaneous velocity is the derivative of displacement with respect to independent 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.