Geodesic Problem in Economic General Inequality

NOTICE

• just speculation, do not trust

MOTIVATION

• Toward "unified field theory of inequality" (Krugman)

PROBLEM

• how long time should be assumed for time horizon in such a too general macroeconomic growth model?
• it could be beyond the origin/doomsday of human nature and so beyond the scope of economic theory in usual sense, but it's not a problem
• the very problem is whether time horizon could be made finite or not

on factorizing transfinites (I)

For some reasons, we should consider "factorization" of transfinite numbers.

Turing(1949) gave a interpretation of transfinite numbers as natural numbers as far as amounts of each orders are bounded

for example: 9w+35 => 9 x 100^2 + 35

we are interested in existence and uniqueness of such "factorization"

refs:
http://en.wikipedia.org/wiki/Ordinal_arithmetic
http://matwbn.icm.edu.pl/ksiazki/aa/aa4/aa432.pdf