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Introduction
About the evolution of the concept of M8-H duality
The problems with the original forms of M8-H duality
The view of M8-H duality in 2024
Holography=holomorphy vision
About the geometric description of fermion pair creation vertex in the framework of catastrophe theory
The tension between the holography=holomorphy vision and number-theoretic vision
Catastrophe theoretic vision of TGD
Holography=holomorphy vision as a realization of quantum criticality and the theory of analytic functions
Beltrami flows and holography = holomorphy hypothesis
Some background
Beltrami flows in TGD
Flows in the complex plane
The 2-dimensional flows related to the simplest Hopf fibration S3→ S2
Hopf fibration S5→ CP2
CP2 type extremals
The next level corresponds to space-time surfaces X4 ⊂ H
How to create monopole flux loops?
Some basic facts
Connection with the similar problem related to the creation of fermion pairs
Do also monopole flux tubes turn back in time
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