Interesting Ideas

Integrity Quest ... in pursuit of a cooperative global consciousness




Interesting Ideas



Einstein's Most Remarkable Conceptual Achievement



Albert Einstein applied his general theory of relativity to model the structure of the universe as a whole.


As part of that work, Einstein indoubtedly recognized and applied the remarkable observation originally attributable to Giodarno Bruno, the 16th century Italian who was a Dominican friar, philosopher, mathematician and astronomer,which is as follows:


"The center of the universe is everywhere and the circumference nowhere".


Being a mathematician, Einstein would have also recognized this was exactly the same observation made about the nature of God by Blaise Pascal. Pascal was the brilliant 17th century mathematician who laid out the highly ordered and graphically elegant tabular arrangement of binomial coefficients now known as "Pascal's triangle". As evidence of this assertion, it should be recalled that Einstein is famous for having observed that "God does not play dice with the Universe".


Astoundingly so, the above observation about "centre and circumference" is identical to the experientially verifiable self-evident cognitive state of the individual. Each of us sees ourself as the centre of our cognitive world, and that cognitive world extends infintely around us, from our immediate experiential domain into our non-immediate intellectual domain, expanding forever outward to the infinity of the unknown.


It is not entirely clear whether Einstein explicitly recognized this congruence of the physical to the cognitive, but we can now clearly see that there is a fundamental correspondence between the physical domain of observed phenomena and the mental domain of the observer of those phenomena. As William Blake, the famous English poet, painter, philosopher and mystic observed, "You are what you behold".


Einstein thus provided what might now well be termed the "missing link" between our conscious recognition of the exterior physical world and the interior mental world. He thereby also recognized the correspondence of the world of the very large which stretches outward from our own perceptual Universe and the world of the very small which is articulated in advanced physices as the sub-atomic realm of Quantum Mechanics.


In religious parlance, the Power and the Glory are One ... the Power orginates in the micro-world of the tiniest sub-atomic particle, where the distinction between energy and object is moot. And the Glory is manifested in the macro-world of the infinitely large Universe.


This represents a massive conceptual breakthrough. Mathematically speaking, dichotomy and unity are just differing mathematical orientations toward one essentially holistic and intrinsically inseparable singularity. The ancient and sacred maxim "As above, so below" represents a profound and ultimate Truth.


Einstein's insight firmly and irrevocably establishes that the observer and the observed are intrinsically mutually interconnected, and that the two are actually mutually complementary manifestations of the same vast "universal object".






A graphic representation of this holistic concept is (fascinatingly enough) provided by the famous symbol for infinity, the leminiscate. When this symbol is represented three dimensionally (in the "reality" of the space-time continuum) it is properly termed a torus.


One well known example of a torus is known as a Moebius strip which a surface with only one side and only one boundary component. The Möbius strip has the mathematical property of being non-orientable. It was discovered independently by the German mathematicians August Ferdinand Möbius and Johann Benedict Listing in 1858.


A torus is a lower order of what may be termed a "trans-dimensional construct" ... it canbe graphically realized in a two-dimensional drawing, but it can only be fully rendered in 3-dimensional space. A hypercube is a higher order trans-dimensional construct in that it cannot be fully realized in 3-dimensional space ... it requires the fourth dimension (time) to render it fully. Higher order trans-dimensional constructs can only be graphically realized in 3 dimensions by using "hyperdimensional" computer tools that incorporate time in their functionality matrix.



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