Paradox at the heart of mathematics makes physics problem unanswerable

Escher’s Print Gallery

(notice that the boy is part of the painting that he is looking at)

A logical paradox at the heart of mathematics and computer science turns out to have implications for the real world, making a basic question about matter fundamentally unanswerable. In 1931, Austrian-born mathematician Kurt Gödel shook the academic world when he announced that some statements are ‘undecidable’, meaning that it is impossible to prove them either true or false. Three researchers have now found that the same principle makes it impossible to calculate an important property of a material — the gaps between the lowest energy levels of its electrons — from an idealized model of its atoms. Dec.9  http://www.nature.com/news/paradox-at-the-heart-of-mathematics-makes-physics-problem-unanswerable-1.18983?WT.mc_id=TWT_NatureNews

Godel’s Incompleteness Theorem is often illustrated by the “liar paradox”. The liar paradox is attributed to Epimenides of Crete, who said "All Cretans are liars" (although it should be noted that, in the original context, he probably meant "All Cretans but me are liars about this one thing").  Because of the  self-reference, statements like these are ‘undecidable’, meaning that it is impossible to prove them either true or false.

This  paradox interwoven into the fabric of our being is revealed  through astrological pairing of Saturn and Neptune. Saturn with its concern for well defined boundaries, order and structure has been linked to logic and mathematics.  On the other hand, Neptune with its fluid nature is an enemy of boundaries, it  cannot be pinned down by  the “true or false” Saturnian binary logic. Like the dual sign Pisces that Neptune rules it can relate to membership of two different worlds simultaneously.

It is, therefore,  quite appropriate that  Godel’s Incompleteness Theorem was presented as a paper on November 17, 1930 with Saturn [8cp] transiting opposite his radix Neptune [8cn]. But  in the context of the news  it is even more relevant that  Godel’s  paradox is now extended to the realm of physics at the current Saturn-Neptune square  that straddles the meridian at London where Toby Cubitt, a quantum-information theorist at University College London and one of the authors of the study is based.

Finally, we also note that the current sidereal Capricorn Ingress chart (often referred to as the Annual Chart) when progressed to Dec.9, the date of the  news, brings the Saturn-Neptune square to the meridian thereby triggering it.