The 'Completeness Theorem' enables all the derivatives of diversity.

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The 'Completeness Theorem' enables all the derivatives of diversity.

The self-referential property of Phi-derivation is true at any & at all scales.
Emerging at all scales of space and time, these are correlated and demonstrated below.

From the big-bang, with waves creating the space they occupy, significant issues
emerge from the constancy of stringularity signalling and integrating:

  1. [a] Positive and [b] negative entropy [c] all governed by Phi

    [a] pushes outwards accelerating
    [b] pulls inwards decelerating

  2. Symmetry-breaking and symmetry-binding

    [a] is more symmetry-breaking
    [b] is more symmetry binding


  3. [d] Indeterminism and [e] Determinism,

    [d] is more positive entropy than [e]
    [e] is more negative entropy than [e]


  4. [f] Synchronicity and [g] Sequentiality,

    [f] as the completeness theorem is 'source' (stringularity)
    [g] is-are the sequential plurality of consequences of [f]


  5. [h] Universality [i] locality and [k] entanglement

    At the starting point of stringularity
    [h] is the same as [f] and the same as [i]

    As the system evolves and diversifies
    as [h] always precedes [i] it also makes [k] inevitable

  6. The context for the values of [j] Pi [k] Phi & [l] Alpha,

    [j] is integral to [k] at Pythagorean Comma Step 12.618
    [l] ('God's Pencil') is at Pythagorean Comma Step 13


  7. Instability and stability in the Standard Model of Physics,

    The symmetry Binding properties of Phi-Derivation were used
    to restabilise the Standard Model when gravity was introduced
    .


  8. The pentagram is at the heart of the double-helix structure of the DNA molecule,

    Stringularity, the diameter of a circle & the transverse of the
    pentagle it contains, have a clearly phi-defined relationship.



and that from Phyllotaxis to galaxies weather systems to DNA to sub atomic particle decay,

Starting from stringularity, the Phi-derivation of Dynamic Spiral-Structures (DSS)
are ubiquitous throughout Nature.


All musicians and particularly string players (e.g. Albert Einstein) have for eons, completely
and gratefully depended daily on the basic determinism of stringularity in practice and play.

It represents a ‘completeness theorem’ which resolves the so-called ‘Entscheidungsproblem’
(the decision-problem) into an
'Entscheidungslösung' (decision-solution)
as Kurt Gödel might have said, “by a kind of miracle”.

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As Brian Greene observed: -

"Despite centuries of scientific progress, we are no closer to answering the question raised by Gottfried Leibniz;
“Why is there something rather than nothing?” than we were when he first made this lean distillation of the mystery of existence.

Not that there haven’t been creative ideas & provocative theories.
But in asking a question of ultimate origin, we’re seeking

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