Introduction

1. M⁸-H duality implies Hubble's law

2. Allais effect

   CP₂ type extremals as blow-ups and birational cognition

M⁸-H duality implies generalized Hubble's law

1. M⁸-H duality

2. M⁸-H duality generalizes Hubble law

3. Ordinary Hubble law follows from M⁸-H duality

4. Estimate for the density of the Universe

5. Some implications of the generalized Hubble law

Allais effect as a key to the understanding of gravitational Planck constant in terms of warping

1. Empirical findings

2. Anomalies and their brief explanations

3. Warping as an explanation for the reduction of the pendulum's oscillation frequency

4. The simplest model of Allais effect found hitherto

Number theoretic aspects of holography = holomorphy  principle

1. Holography = holomorphy  principle

2. How do CP₂ type extremals emerge?

3. Could classical action have interpretation as a number theoretic invariant?

4. The maps g: C²→ C² as symmetries of H-H princple

5. Could birational maps g: C²→ C² play a special role?