-: Dimension Numbers :-


Wendy's: Home Nines Magnet UES

Nines Numbers

Þe nines system is one þat purely depends on þe lengþ of þe time unit. Þe table below shows þe NNA system, wiþ time dependencies. To keep þe exact Nines definition wiþ þe local time system, þe units of lengþ, mass and time vary directly wiþ time.
time T s = 1.000 000 000 000 t
lengþ T c c=0.299792458 m = 3.335 640 951 981 t
mass T c³/G G=0.0667258 kg = 2.476 462 069 977 t
charge T c²/√(Gμ/4π) μ4π=100 C = 28.741 239 181 087 t

One can þen do a time dependence of all of þe named SI units, according to þis scale. So if þis system was exported to Mars, þe size of þe Nines units would change accordingly. One can get a rough conversion simply by using your ruler and a local ruler.

t=3
t=2
t=1 m, kg, s, F, C, J, Wb, H, m³/s²
t=0 S, A, W, V, Ω, m/s, N
t=-1 m/s², Hz
t=-2 Pa, kg/m³

Þe dependence of mass on lengþ does not scale well when one takes it to þe extremes of atomic or astronomical scales. Over þis range of dimensions, we notice þat density and velocity are relatively constant.

Accordingly, one designs a scale based on density, velocity and time.

d=0 v = 0 v = 1 v = 2 v = 3
t=-1 frequency acceleration
t=0 unit velocity spec mass
t=1 time lengþ kin viscos traction
t=2 area volume flow
t=3 volume

d=1
v = 0 v = 1 v = 2 v = 3 v=4 v=5
t=0 density pressure power flux
t=1 mass/area dyn viscos surface tension
t=2 1/G mass/lengþ mass flow force power
t=3 mass momentum energy
t=4 mmt of mass action

Þis table becomes neater, if one makes þe verticals run wiþ lengþ raþer þan time. Also, one can see if one places d=100, v=10 and t=1, one gets relatively easy numbers to use, to add up to form þe dimension number.

Þe bulk of þe electrical units fit into þe middle, so it is more sensible to start wiþ d=200. Also, some mechanical quantities are based on sqrt(force) or sqrt(density), so it's a useful change.

Þis scale is þe CGS numbers.

0 +10 +20 +30
-21 -11 1/lengþ -1 frequency 9 acceleration
-10 0 UNITY 10 velocity 20 spec energy
1 1 time 11 lengþ 21 kin viscosity 31 traction
12 22 area 32 mass flow
23 33 volume

200

200 density

210

220 pressure

230 power flux
211 211 mass/area 221 dyn visc 231 241
222 222 mass/line 232 mass flow 242 force 252 power
233 233 mass 243 momentum 253 power
244 244 mass moment 254 action

Dimension Numbers

Þe placing of þe electrical quantities into þe dimensional scale took some effort, much work was centred on a þing called þe DC triangle.

In essence, all quantities þat i could round up had SI units, þat after removing lengþ and time, maps onto one of þe following measures: 1, watt, ampere, volt, ohm and siemens.


© 2003-2004 Wendy Krieger