From Cambridge to Eternity: “Dimension Algebra 03”
<Problems and
Applications>
*Note:
“T” for time period, “L” for length, “M” for mass and “U” for value of utility
There are indefinitely
many scales per T, L, L2, L3, M or U.
1.
The time taken in the 100m dash: T= L/ (L∙T-1)
-
El Condor: 8 milli-sec= 100m/ (12.5m/ milli-sec)
-
The winner: 8 sec= 100m/ (12.5m/ sec)
- The laggard: 8 min= 100m/ 12.5m/ min)
-
The Snail: 8 hours= 100m (12.5m/ hour)
*Notwithstanding the Solow
model, no “marathoner”
has ever won in a public event of 100m
dash.
2. The
travel distance of the sunlight: L= T∙(L∙T-1)
-
In two seconds: 600,000 km= 2 sec∙(300,000 km/ sec)
-
In 100 years: 100 light-years= 100
years ∙(1 light-year/ year)
3. The
private “constant” k (= M/ I) as in the Cambridge equation:
T= U∙m/
(U∙m∙T-1)
(More on this tomorrow)
-
The daily bread earner (id):
k= (0.5∙id
in average) / (360 id per annum)=
0.001 year
-
The wage-earner (i2w): k= (0.5/27)= 0.02 year
-
The “salary-person” of “Tokyo style (im):
k=(0.5 /12)= 0.04 year
-
The fund manager of “Manhattan style” (iy):
k=(0.5/ 1) = 0.5 year
-
An Elon Musk (indefinitely large sum at any moment): (definitely unnamable) year
-
The central banker: “Begin this Printing Press Now!” year
4. The
percentage rate of economic growth: (100∙T-1
) %
-
“Finlandia”: 5 % per annum, or (5/
360) % per diem
-
“Failed Nation”: -3 % per
annum, or -(3/ 360) % per diem
-
“The Isle of the Dead”: -123 %,
+(3.14159x 10456) % or any % of convenience
5. The
purchasing force of money: M∙U
-
The dollar (U∙m):
the utility (M∙U)
worth a dollar
-
The euro: the utility worth a euro
-
The thaler: the utility worth a thaler
6. The
speed of time: Flying (= L∙T-1)
vs. Lapsing (= T∙T-1)
-
Flying across space: 300,000 km/ sec
-
Lapsing over time: 1= 1 hour/ hour
= 1 year/ year
→ Oh, time lapses precisely at the speed
of time!
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