Wendy's: Home Nines Magnet UES
| time | T | s = 1.000 000 000 000 t | |
| length | 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 then do a time dependence of all of the named SI units, according to this scale. So if this system was exported to Mars, the size of the Nines units would change accordingly. One can get a rough conversion simply by using your ruler and a local ruler.
| t=3 | m³ |
|---|---|
| t=2 | m² |
| 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 |
The dependence of mass on length does not scale well when one takes it to the extremes of atomic or astronomical scales. Over this range of dimensions, we notice that 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 | length | 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/length | mass flow | force | power | |
| t=3 | mass | momentum | energy | |||
| t=4 | mmt of mass | action |
This table becomes neater, if one makes the verticals run with length rather than 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 the dimension number.
The bulk of the electrical units fit into the middle, so it is more sensible to start with d=200. Also, some mechanical quantities are based on sqrt(force) or sqrt(density), so it's a useful change.
This scale is the CGS numbers.
| 0 | +10 | +20 | +30 | |
|---|---|---|---|---|
| -21 | -11 1/length | -1 frequency | 9 acceleration | |
| -10 | 0 UNITY | 10 velocity | 20 spec energy | |
| 1 | 1 time | 11 length | 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 |
The placing of the electrical quantities into the dimensional scale took some effort, much work was centred on a thing called the DC triangle.
In essence, all quantities that i could round up had SI units, that after removing length and time, maps onto one of the following measures: 1, watt, ampere, volt, ohm and siemens.