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This is the latest draft of a glossary for 3D time compared with 3D space. Modifications include the concept of "base" as a spatial analogue of scalar time.

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Parallel Glossary of Space and Time for Classical Physics
RA Gillmann, 2019-10-12
General Terms
kinematics
is the set of ordered pairs of relative length and duration position, called
location
and
chronation
.
event
is a physical occurrence with location and chronation.
event order
is a baseline or timeline.
body
is a physical entity with location and chronation.
motion of a body
is a continuous change of its location and chronation.
metric of motion
is the extent of motion as measured by length or duration.
Length Terms
Duration Terms
length
is the extent of a motion as measured by a rigid rod or a measuring wheel.
point
is an event with minimum length.
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.
duration
is the extent of a motion as measured by a stopwatch or clock.
instant
is an event with minimum duration.
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.
base
is an independent length variable of uniform motion; equals the location vector magnitudes of
simulbasal
points; symbol
s
;
adj
. basal.
basepoint
n
. is a base value.
baseline
is an ordering of events by their basepoints.
spaces
(of length) are baseline intervals.
time
is an independent duration variable of uniform motion; equals the chronation vector magnitudes of
simultaneous
instants; symbol
t
;
adj
. temporal.
timepoint
n
. is a time value.
timeline
is an ordering of events by their timepoints.
period
(of duration) is a timeline interval.
space interval
(distance) 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
.
displacement
is a vector of distance and angle direction between two points.
time interval
(distime) 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 dischronment vector; symbol
t
.
dischronment
is a vector of distime and turn direction between two instants.
length manifold
(3D space) is a Euclidean manifold of three length dimensions.
length-timeline
is a 3D length manifold with a timeline (3+1).
length srcin
is a reference point.
location
(or length position) of a point in a length manifold is the
displacement
vector to it from the srcin point; symbol
s
.
duration manifold
(3D time) is a Euclidean manifold of three duration dimensions.
duration-baseline
is a 3D duration manifold with a baseline (1+3).
duration srcin
is a reference instant.
chronation
(duration position) of an instant in a duration manifold is the
dischronment
vector to it from the srcin instant; symbol
t
.
simulbaseity
is the relation between events with the same basepoint; adjective
simulbasal
.
symbasal
, has the same basepoints; verb
symbasalize
, to make symbasal.
simultaneity
is the relation between events with the same timepoint; adjective
simultaneous
.
synchronous
, has the same timepoints; verb
synchronize
, to make synchronous.
metre
is the SI unit of length, distance, base, or space interval.
metreloge
device displays the present basepoint.
second
is the SI unit of duration, distime, or time, or time interval.
clock
device displays the present timepoint.
speed
of a motion is the time rate of length change, that is, the ratio of its length to the time unit without regard to direction; symbol
v
; units of m/s, km/hr, etc.; timepoint (instantaneous) speed is d
s
/d
t
, which equals the magnitude of timepoint velocity.
pace
of a motion is the space rate of duration change, that is, the ratio of its duration to the base unit without regard to direction; symbol
u
; from racing; units of s/m, min/km, etc.;
basepoint
pace is d
t
/d
s
, which equals the magnitude of
basepoint
legerity
.
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 Δ
r
/Δ
t
; timepoint (instantaneous) velocity is d
s
/d
t
= d
s
/|d
t
|; from Latin
velocitas
, swiftness, rapidity.
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 Δ
t
/Δ
s
;
basepoint
legerity
is d
t
/d
s
= d
t
/|d
s
|; from Mid. French
legereté
, quickness or lightness in movement.
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
; timepoint acceleration is d
v
/d
t
= d
v
/|d
t
|.
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
; basepoint expedience is d
u
/d
s
= d
u
/|d
s
|.
Parallel Glossary of Space and Time for Classical Physics
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
=
2π
f
=
θ
/
t
.
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
=
2π
h
=
θ
/
s
.
travel distance
(arc length) is the length along a curve.
length scale
is a ratio of map distance vs. actual distance.
isodistance
line shows
equidistant
events.
locus
is the set of all points meeting some criteria.
travel time
(arc duration) is the duration along a curve.
time scale
is a ratio of map time interval vs. actual time interval.
isochron
line shows
equidistimed
events.
chronus
is the set of all instants meeting some criteria.
space mean speed
(SMS) is the harmonic mean of speeds with a common space unit.
time mean speed
(TMS) is the arithmetic mean of speeds with a common time unit.
time mean pace
(TMP) is the harmonic mean of paces with a common time unit.
space mean pace
(SMP) is the arithmetic mean of paces with a common space unit.
reference frame
is a method of describing the location, velocity, and acceleration of a body.
reference timeframe
is a method of describing the chronation, legerity, and expedience of a body.
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.
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.
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
.
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
.
matter
(particle) is a body with
mass
that occupies a place; a measure of the energy content of a body.
carrier
(wave) is a body with
vass
that fills an occasion; a measure of the reserve content of a body.
moment
is the product of a physical quantity such as mass or force and its space interval from or to a point or axis.
fulment
is the product of a physical quantity such as
vass
or
rush
and its time interval from or to an instant.
center of mass
(or
bathycenter
) is the normalized moment of mass;
R
= (1/
M
) Σ
i
r
i
m
i
.
moment of inertia
is the second moment of mass;
I
≡
Σ
i
r
i2
m
i
.
center of vass
(or
elaphrocenter
) is the normalized fulment of vass;
T
= (1/
N
) Σ
i
t
i
n
i
.
fulment of facilia
is the second fulment of vass;
J
≡
Σ
i
t
i2
n
i
.
gravitation
is the mutual force that all bodies have, which is directed toward the mutual center of mass.
weight
is the force exerted on a body by gravity.
levitation
is the mutual
rush
that all bodies have, which is directed toward the mutual center of
vass
.
elaphra
is the
rush
exerted on a body by
levity
.
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
=
m
v
.
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
=
n
u
.
force
is the duration rate of change of
momentum
; units in newtons, N = kg m s
‒2
; symbol
F
≡
d
p
/d
t
, e.g.,
m
a
.
rush
is the length rate of change of
fulmentum
; units in
oldtons
, O = kg
‒1
s m
‒2
; symbol
R
≡
d
q
/d
s
, e,g.,
n
b
.
impulse
is a force
F
applied over a duration d
t
, or the change in momentum; units N·s; symbol
J
≡
F
·d
t
= d
p
.
work
is a force
F
applied over a displacement
s
:
W
≡
F
·
s
; for a constant force:
W = F
d
s
=
P
d
t
; units: J = N·m.
hustle
is a
rush
G
applied over a length d
s
, or change in
fulmentum
; units O·m; symbol
K
≡
R
·d
s
= d
q
.
surge
(inverse of work) is a
rush
R
applied over a
dischronment
t
:
X
≡
R
·
t
; for a constant
rush
:
Y = R
d
t
=
Z
d
s
; units O·s.
power
is the ratio of work per unit of time:
P
≡
d
W
/d
t
=
F
·
v
; units: Watt, W = J/s = N·m/s.
alacrity
is the ratio of surge per unit of baseline:
Z
≡
d
V
/d
s
=
R
·
u
; units: 1/J·m = O·s/m.
energy
is the capacity for doing work; units, J
≡
N·m = W·s; symbol
E
.
kinetic energy
KE = ½
m
v
².
reserve
(lethargy) is the capacity for surge; units, 1/J
≡
O·s; symbol
Q
= 1/
E
.
kinetic reserve
KR = ½
n
u
².
angular momentum
for a point particle is the moment of momentum,
L
≡
r
×
p
, the cross product of the particle's location vector,
r
, and its momentum vector,
p
= m
v
.
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
= n
u
.
torque
is the moment of force; the rate of change of angular momentum of a body,
τ
=
I
α
; units: N·m.
strophence
is the fulment of rush; the rate of change of angular
fulmentum
of a body,
σ
=
I
β
; from Greek
strophe
, turn + (e)
nce.

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