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The holographic essence of the Universe and Nature is implicit in the Hermetic maxim – “As Above, So Below, and As Below, So Above,” but what is it that links the Above and the Below? It is the “Lost Chord” – the Golden Section that bonds the Above and Below together in golden proportional symmetry. This is illustrated in the diagrams: A) where we see that F is the geometric mean bonding together F2 and 1; and B) where 1 is the geometric mean bonding together F and 1/F; and C) where the Fibonacci number 8 acts as an “approximate” geometric mean bonding together 13 and 5. This is demonstrated, for example, in the Venus Kiss (see below). Like the pentagonal flower, Venus’ dance with the Earth creates a pentagram in the sky.1 This Silent Pulse or Philosophical Stone rooted in the Primordial Scission or Golden Section permeates all of Nature and the Cosmos, and is holographically and fractally present at all levels.

Kiss of Venus, John Martineau, Little Book of Coincidences

Here is a list of cosmic anomalies displaying golden section relationships:

  1. The orbits of the planets of the Trappist-1 solar system are in Fibonacci resonance [69,117]. While planet g completes one orbit around its star, planets b, c, d, and e complete 8, 5, 3, and 2 orbits respectively, in descending Fibonacci order, and planet f completes 4/3 orbits – a musical fourth. Planet h with an approximate 20-day orbit is very close to the Lesser golden ratio relative to the 12.35-day orbit of adjacent planet g (i.e. 12.35 / 20 = 0.6175 ≈ ϕ, first noted by Aaron Schmidt).
  2. The adjacent orbits of all six planets of the Kepler-11 (or HD 158259) solar system are virtually in 3:2 Fibonacci resonance (the musical fifth), beginning with the first inner planet and moving out. That means for every three orbits each planet makes, the next one out completes two orbits [151]. “All the planets are locked in rhythmic harmony, like a waltz in a cosmic ballroom.” [154]
  3. The orbits of Neptune and Pluto are in 3:2 Fibonacci resonance, a musical fifth.
  4. The relative mean orbits and mean diameters of Earth and Mercury approximate Φ2:1 [73].
  5. Paul Davies discovered that rotating black holes flip from a negative to a positive specific heat when the ratio of the square of the mass to the square of the spin parameter (rotation speed) equals Φ [72].
  6. The cosmic background radiation anomalies abductively suggest a dodecahedral universe (see Luminet) [63]. And the recent reassessment of the Planck satellite data now makes it more probable than not that the universe is spherical-like than flat [64].

1 John Martineau. A Little Book of Coincidence. Wooden Books, Bloomsbury USA, 2002.