Realization
Currently the tallest building in the world is the more than famous Burj Khalifa
with an elevation of 828 m.
Arabian luxury hotel where you can satisfy any desire you may have.
For the evaluations concerning the construction of this Megastructure, we followed the logic of proportioning the values of the Burj Khalifa to those of our ellipsoid.
Burj Khalifa data
Volume (estimated): 1,628,853 m³
Elevation: 828m
Production cost: € 1.220 billion
Construction time: 6 years
Overall workers: 12 thousand
Total mass: 500,000 tons
Of which steel: 39,000 tons
Since volume is the only data about the ellipsoid that we already know, we'll use that for aspect ratio.
Vu.a.= 262,720.92164 ua³
Initially we transform the volume from ua 3 to m 3 (1 ua=149.597.870.707 m)
Vm3= (3 262,720.92164 149,597,870,707 ) ³ 8.7939510 38m3
Let us now evaluate the various constructive aspects of the structure:
A) Steel required.
Simply, by proportioning the volume of the building to that of the De-Sideribus we calculate the amount of steel required:
(8.7939510 38 39,000)/ 1,628,853 2.10556 x 10 38 t
Considering that a fast furnace for steel production consumes 532 kWh per ton and that the pouring time for this amount of steel averages 52 minutes (0.87), we can derive an estimate of the energy required for the production of required steel:
energy for melting 1 t of steel (fast furnaces) = 532 kwh
casting time = 52 m = 0.87 h
energy per heat = 0.87h X 532,000 Wh = 462,849 W/h
energy for production= 2.10556 10 38 462.849= 9.7455634044 x 10 44 W
The Kardashev scale is an exponential scale used to categorize civilizations by the amount of energy they are capable of producing. It was conceived by Nikolaj Kardašëv , a renowned Russian astronomer, as a starting point for the hypothetical alien civilizations that were being sought with the Soviet SETI (Search of Extra-Terrestrial Intelligence) project.
Using the formula devised by Carl Sagan (famous American astronomer and science fiction writer), we calculate the degree of civilization necessary for the production of the required steel:
Civilization Degree= Log10( W) -6 10 Log10( 9 .7455634044 1044) -6 10 3.90
which roughly corresponds to the amount of energy that can be obtained by exploiting an entire supercluster of galaxies.
Human civilization (currently) has a grade of 0.724 failing to harness even all of Earth's energy (that would be grade I)
Let's now evaluate the amount of raw materials needed to produce this gargantuan amount of steel. This metal is an alloy composed of (approximately) 95% iron and the remaining 5% carbon. Iron is one of the most abundant material on Earth and makes up 34.6% of the Earth's mass, so let's calculate how many "Earths" it would be necessary to extract all the iron to build our megastructure:
iron percentage in steel = 95%
percentage iron in the landmass = 34.6%
earth mass= 5.9726×10 21 t
No. of Lands= 2.10556 10 38 /[( 5.9726×10 21 0.346)0.95]= 1.07252 x 10 16
Which, for the record, could enter almost 76 times inside the structure (see earth = 1.083X10 21 m 3 ).
B) Cost for the realization.
Let's calculate this value again in proportion to the Burj Khalifa
( 8.7939510 38 1.220)/ 1,628,853 6.58661 x 10 32 billion €
Which is equivalent to about 2.55 10 18 times the current world heritage (€ 258,258,118,221,425.00), which is to say, if you want to listen to Holst, you end up destroying the world economy…
C) Implementation times.
Let us assume a constant that relates the number of workers, the time needed to build a structure and the volume of the latter:
Construction efficiency constant (Burji Khalifa data)=
(work xt)/V=k → (12,000 x 6)/ 1,628,853= 0.0442029
Consequently we are going to evaluate the time that would be necessary by putting different quantities of workers to work.
Let's find out that
Current percentage of construction workers (Italy)= 6%
Workers in the world (2021) = 3,352 million
Years required to build the facility employing all construction workers worldwide (estimate) = 55,866,667
t= kv/lav → (0.0442029x 8.7939510 38 )/55,866,667= 6.9579610 29
7 x 10 20 billion years
Years to build using the entire current world population=
Current world population = 7.96 billion people
Annual population growth rate= 1%
(0.0442029x 8.7939510 38 )/7,960,000,000= 4.9211610 27
5 x 10 18 billion years →
about 3.6 x 10 17 times the current age of the Universe (13.8 x 10 9 years)
For informational purposes we also report the equation already set for the calculation of the time taking into account the rate of increase in the population, however it was not possible to calculate the result as we did not have sufficiently powerful calculation systems: ,
Assuming instead of wanting to build it humanly over time
permissible, as 100 years, the workers needed would be:
kv/t→ ( 0.0442029x 8.7939510 38 )/100= 3.887180925 x 10 35
Approximately (5 x 10 27 )% of the current one, or every woman should give birth to this number of children:
(3.887180925 x 10 35 -7,960,000,000)/3,710,295,643= 1.04767174 x 10 26
Which is undoubtedly much higher than the already surprising record of Valentina Vassilyeva who, with 69 children over 27 travails, was the most fertile woman in history.