The universe exhibits a fundamental dualism of opposite pairings. The present degenerate state of duality provides a clue as to the preexisting state. The Big Bang explosion of duals of surreal infinite & infinitesimal pairings is illustrated as an unstable vacuum state catastrophe. The number of modal states and information bits increase from the initial unstable vacuum singularity. The formation of a polarizable vacuum is depicted as creation of positive & negative Planck masses with positive & negative energy density. Expansion of the universe is represented as nested Riemann spheres of complex Planck impedance analogous to a 3D Smith chart of complex electrical impedance. Nested Apollian spheres of n-multiples of the Schwarzschild radius exhibits bubble voids like "suds in the kitchen sink" mass accretion & contraction similar to that apparent in the universe at large.

1. A surrealistic world in a universe of dualism
• The universe exhibits a fundamental dualism of opposite pairings.
• Present degenerate state of duality provides a clue as to prexisting state.

2. Formation of a polarizable vacuum

3. Quantum vacuum decoherence

4. Plasma cosmology
• Birkeland plasma current filaments & Beltrami vortical flow

5. Vacuum state catastrophe
• Big Bang explosion of duals of surreal infinite & infinitesmal pairings

6. Supercritical pitchfork bifurcation of singularity event
• Catastrophe theory
representation of Big
Bang expansion
• Number of modal states
and information bits
increases from initial
unstable vacuum state

7. Planck quantum vacuum
• Physical vacuum as a Bose Einstein Condensate superfluid
composed of Planck mass dipoles

8. Electron/positron successive pair doubling cascade
• Lemaître – Sternglass model
of universe evolution

9. Gravitational field density analog of a spherical mass

10. Simple frequency model of a gravitational field
• N-scribed polygon representation
of positive energy mass and
negative energy of surrounding
gravitational field.
• Central mass exhibits positive
curvature (k > p) while gravitational
field exhibits negative curvature (k <
p)

11. Frustrated Planck vacuum lattice
• Frustrated lattice results in regions of excess positive & negative Planck mass

12. Gravitational tone net analog

13. Poincaré disc

14. Hypercube dimensional matrix

15. Dimensions of mechanical quantities
Dimensions & conversions
of quantities expressed in
basic dimensions of Length L,
Mass M, Time T & Rotation Q

16. Planck vacuum impedance analogy
Expansion of universe represented as nested Riemann spheres of complex Planck
impedance is analogous to 3D Smith chart of complex elecrical impedance