The negative (fractal) dimension is introduced by Benoit Mandelbrot, in which, when it is positive gives the known definition, and when it is negative measures the degree of "emptiness" of empty sets.

Benoît B. Mandelbrot is best known as the "father of fractal geometry." Although Mandelbrot invented the word fractal, some objects featured in The Fractal Geometry of Nature had been previously described by other mathematicians. However, they had been regarded as isolated curiosities with unnatural and non-intuitive properties. Mandelbrot brought these objects together for the first time and turned them around into essential tools for the long-stalled effort of extending the scope of science to non-smooth parts of the real world. He highlighted their common properties, such as self-similarity (linear, non-linear, or statistical), scale invariance and (usually) non-integer Hausdorff dimension.He also emphasized the use of fractals as realistic and useful models of many phenomena in the real world that can be viewed as rough. Natural fractals include the shapes of mountains, coastlines and river basins; the structure of plants, blood vessels and lungs; the clustering of galaxies; Brownian motion. Man-made fractals include stock market prices but also music, painting and architecture. Far from being unnatural, Mandelbrot held the view that fractals were, in many ways, more intuitive and natural than the artificially smooth objects of traditional Euclidean geometry.The boundary of the Mandelbrot set is a famous example of a fractal.

Quote from: helenof on May 29, 2006, 07:50:01 PMIndeed, zero is a very curious number. How can nothing be something?Everything can be divided into an infinite amount of pieces, but although the size of the pieces decreases as the amount of pieces increases, the sizes will always approach zero, but never hit it. How can zero exist as a number then? Zero began as a place holder in Babylonian and Mayan societies. It was accepted as a place holder in some societies, while rejected in others. Zero does not conform to the laws of mathematics, and therefore became a difficult concept to accept. Since it did not fit in with laws, it could destroy all logic. Cutting edge physics disagrees. Things are not infinitely dividable. Zero, or (imo) to be more precise, negation, may seem illogical, but mathematically (although i personally can't prove it) it's real, (i.e. matter can come and go / be and not be)

Indeed, zero is a very curious number. How can nothing be something?Everything can be divided into an infinite amount of pieces, but although the size of the pieces decreases as the amount of pieces increases, the sizes will always approach zero, but never hit it. How can zero exist as a number then? Zero began as a place holder in Babylonian and Mayan societies. It was accepted as a place holder in some societies, while rejected in others. Zero does not conform to the laws of mathematics, and therefore became a difficult concept to accept. Since it did not fit in with laws, it could destroy all logic.

Even in its ground state, a quantum system possesses fluctuations and an associated zero-point energy, since otherwise the uncertainty principle would be violated. In particular the vacuum state of a quantum field has these properties. For example, the electric and magnetic fields in the electromagnetic vacuum are fluctuating quantities.

Zero Point Merge is the coming together of the matter and antimatter aspects of your soul. It is accompanied by a tone.

Quote from: 220110 on August 27, 2007, 04:30:48 AM Zero Point Merge is the coming together of the matter and antimatter aspects of your soul. It is accompanied by a tone. Could you expand a little bit?

[...] Hermetic Mythology relates to Hermes Trismegistus, or the works ascribed to him, deal with the occult sciences, especially alchemy and magic - The Emerald Tablets of Tablets of Thoth the Atlantean which takes us to Atlantis [...]

Quote from: electra on June 18, 2006, 08:29:14 PMelectra, couldn't you go to some fee image upload service to adjust your image for this borad???