The particular equivalence
relationship between money and energy
Using the
kilograms-meters-seconds system comporting with the price units in dollars per
kilowatt-hour, the particular equivalence relationship between money and energy
is emphasized in the postulated mechanism creating a vacuum against the
barometric pressure of the impending atmosphere wherein A is the surface area of the opposing ram in square meter units, pb is the presumed
barometric pressure in Newton per square meters, and h is the stroke distance in meters, so that the potential energy
difference from the initial position of the ram to its final stroke distance h is ΔE = (h)(A)(pb) measured in joules. The thermal energy
in the atmospheric volume is ΔE = (nR)T.
Therefore for n moles of
atmospheric gas and a gas constant R
in energy per mole-degree Kelvin temperature T
(h)(A)(pb) =Vpb = (nR)T
Suppose that
the relationship encountered in the Internet search is accurate at a given time
so that $2.66x10-5/ Newton-meter
is the price paid i.e. therefore the value of the necessary total evacuated
region of space (h)(A) is calculated
as its volume times the impending external atmospheric pressure pb times the price $2.66x10-5)/ Newton-meter as
the formula
(((h)(A))(pb)Newton-meters)(($2.66x10-5)/Newton-meter)
= $(2.66x10-5)((h)(A)(pb)
The method
of lifting the atmosphere is judiciously selected as that of placing the
atmosphere onto a barge (pontoon) that is buoyed in tidal water that rises
periodically. When the period of time is Δt
within which the water reaches the paramount position h thereafter the average power potential derived is
(ΔE/Δt)
watts = (((h)(A))(pb)Newton-meters)/Δt.
At a repayment rate of a mere one
million dollars per hour the total national debt cannot become paid in thirty
years; for the total national debt of perhaps $800x1012 how big must
the evacuated region be for all transducers combined in order to pay off the
debt in thirty years if the stroke velocity (the estimated rate of cumulative distance
traveled by the rising tidal surface) is 4 meters per 24 hour period i.e.
(4/24)(meters/hours) = h/Δt.
Note that within analytical mechanics velocity times force is defined as the power (ΔE/Δt) in watts. The compelling unbalanced force is that of the impending pressure pb applied over the buoyed
ram horizontal plan section area A i.e. force = Apb.
Every penny
saved is deemed a penny earned so that we can conclude that the energy from a
non-fuel based transducer generated over the time span Δt is equivalent in
monetary value to the money not spent in the payment for energy cost derived
from combusted or otherwise depleted fuels.
Since ((h)(A)(pb))joule
$(2.66x10-5/joule) = $800x1012 total debt
then (H)(A) = $800x1012/$((2.66x10-5)(pb))
is the magnitude of the coefficient of the total necessary volume measured in cubic
meters for the total volume of the evacuated displaced atmosphere. If this
evacuated space is accrued constantly over the thirty years of a long term thirty year
debentures issuance then only 30x(8
765.81277 hours) = 262974.3831 hours are available to accomplish the repayment
of the debt. The debt prescriptively must become repaid at the end maturity date.
There are 9.8 Newton per each 2.2 pounds; therefore there are 4.45
Newton/lbs so that an atmospheric pressure of pb = 14.2 lbs per
square inch is 63.254 Newton per each (2.54 x 10-2)2 squared
meters
i.e. 63.254
Newton/(2.54 x 10-2)2 square meters
= 98044.742
Newton/(squared meters) = pb(Newton)/(squared meters).
Thus multiplying
98044.742 Newton/(squared meters) by unity (using the meter
divided by the meter) we derive the energy per
unit volume
= 98044.742
Newton-meters /(cubic meters)
i.e. 98044.742
joules/(cubic meters). The price of a joule of energy, according to
Internet research is $2.66x10-5/
Newton-meters.
The resultant dollar
value of one cubic meter of evacuated space is therefore
($2.66x10-5/
Newton-meters)(98044.742 Newton-meters)/(cubic meters)
= $2.6079901372/(cubic
meter). It is therefore obvious that the needed
meta-volume is derived
as
($800x1012)/($2.6079901372/cubic
meter)=
(306,749,626,307,597.52552640903445822) cubic
meter =
3.0674962630759752552640903445822x1014cubic
meters.
The tidal surface velocity
(h/Δt)(meters/hour)=(4/24)(meters/hour) multiplied by the horizontal planar
cross section area (A) of the pontoons is the displaced volume per unit time.
Thus after thirty years the displacement is
(30x8 765.81277 hours)(A square meters)(4/24)(meters/hour)
= 3.0674962630759752552640903445822x1014cubic
meters so that
(A)=(24/4)(30x(8 765.81277)square meters = 180x(8 765.81277)square meters
(A)= 1577846.2986 square meters throughout
the thirty year period.