49 Summary of the General Field Theory
Fundamental Geometric Law of Standard Substitutional Economics.
Spanned footage by the money supply
and the area
spanned by merchandise
has to be
equal over time:
which can be thus also written as
General nonlinear QE:
Or taking the root:
Here
and
are pseudo-complex
matrices with matrix-summation norm
, vector norm
and the
sub-index
denotes the
time-derivative respectively.
Field Equations of Economy using geometric tensor:
with
External contributions
are given in the case of closed, or 
for
quasi-closed national economies.
net compound complex business:
or
Complex Cashflow
;complex interest
rate
;complex rate of
inflation
.
limits on investment trade to the possible growth rate of GDP:
with
we get the growth rate
inflation rate
.
Introducing labor and wages:
and
sample special field equations
which are to be solved simultaneous and consistently. Capital supply and demand function
for the FRG: 
Savings rate
Commercial bank share
Non-linear equations fundamental approach
Euler-Lagrange equation
Lotka-Volterra equations
LVE of economy:
FRG regression Y(K)
with regression coefficients
GDP
Compounded Offset GCO
Average
Capital Efficiency ACE
Capital
Repression Coefficient CRC
Maximum capital raising ability until begin of collapse (without external contributions)
FRG: 
bn. €.
Economic Pythagoras
three solutions
Monetary Velocity: The magnitude of the complex solution vector
With 
or
Approximate solutions of higher order
With
and for n=2 :
inclusive of the total amount of the radical:
Trading Volume
(42.11)
And 
Price level and Inflation
with the abbreviations:
,
,
,
,
,
and
Inflation or Pricing
Back-transformation
and 
is the time where the GDP has dropped to zero in
theory.
and
General Lagrangian of the economy
Energy definition
Kinetic energy 
; Potential
energy 
Total energy
Operator Notation
with operators
and 
Commutator Residue
and 