1. Introduction

  2. General view about the construction of scattering amplitudes in TGD framework

    1. General principles behind S-matrix

    2. Classical TGD

    3. Scattering amplitudes in ZEO

  3. The counterpart of the twistor approach in TGD

    1. Could the classical number theoretical dynamics define the hard core of the scattering amplitudes?

    2. General ideas about coupling constant evolution

    3. Do loop contributions to the scattering amplitudes vanish in TGD framework?

    4. Grassmannian approach and TGD

    5. Summary

  4. New insights about quantum criticality for twistor lift inspired by analogy with ordinary criticality

    1. Some background

    2. Analogy of the vacuum functional with thermodynamical partition function

    3. Is the proposed picture consistent with twistor lift of Kähler action?

  5. Are space-time surfaces minimal surfaces everywhere except at 2-D interaction vertices?

  6. Still about twistor lift of TGD

    1. Is the negativity of volume energy acceptable?

    2. Is the cosmological constant really understood?

  7. More about the construction of scattering amplitudes in TGD framework

    1. Some background

    2. Does quantum criticality fail at singular surfaces?

    3. Twistors in TGD and connection with Veneziano duality

    4. Summary

  8. Scattering amplitudes and orbits of cognitive representations under subgroup of symplectic group respecting the extension of rationals

    1. Zero energy states

    2. The action of symplectic isometries on cognitive representations

    3. Zero energy states and generalization of micro-canonical ensemble

    4. How to construct scattering amplitudes?

  9. Minimal surfaces: comparison of the perspectives of mathematician and physicist

    1. Progress in the understanding of closed minimal surfaces

    2. Minimal surfaces and TGD