Stochastic Process is Topology

NOTICE

• DO NOT TRUST THE FOLLOWING

OBSERVATIONS

• branch pattern of infinite length is stochastic process
• so stochastic process is topology
• topology have its shape, order type
• order types are ordinals
• ordinals made metamathematical (with sufficiently strong reflection principle) are forcing notions
• Lebesgue used order types to define integration
• set theorists related enumeration of integration pattern and determinacy

WHAT WE NEED TO BELIEVE IN COMPLETENESS OF PROBABILITY?

• just an assumption saying unmeasurable set would not appear
• regularity assumptions on time (transversality, no ponzi, ..)
• require smoothness of time and economic spacetime hypermanifold
• set-theoretic axioms (stronger reflection principle)
• meta set-theoretic axiom sufficient to proof Con(ZF+AD)