1. Introduction

    1. Topics of the article

  2. Hamilton-Jacobi structure and holography= holomorphy vision

    1. Basic questions

    2. Hypercomplex arithmetics

    3. About the definition of H-J structure

    4. Hypercomplex counterpart of conformal invariance, 4-D conformal structure and H-J structure

  3. About the solutions of Dirac equation in H assuming M4 K\"ahler structure

    1. Dirac equation in H in the presence of M4 K\"ahler potential

    2. A more detailed view

    3. How to obtain massless states in M4 sense and what these states are?

    4. Possible physical implications

    5. Holomorphic solutions of Dirac equation for the induced spinors in X4

  4. Possible generalizations of elliptic curves and corresponding lattices to 4-D situation

    1. Hypercomplex and 4-D analogs of lattices associated with elliptic surfaces

    2. 4-D lattices formed by space-time surfaces

  5. Possible generalizations of elliptic curves and corresponding lattices to 4-D situation

    1. Hypercomplex and 4-D analogs of lattices associated with elliptic surfaces

    2. 4-D lattices formed by space-time surfaces