David Bohm's deep Platonic insights into nature's superimplicate, implicate & explicate orders may be combined with M.S. El Naschie's E-infinity (E∞) theory: This models a harmonic production of quarks and elementary particles through a golden section centered Cantorian space-time. Bohm maintained that there is an inner, hidden implicate order (analogous to Plato's intelligible realm) lying behind the outer explicate order (Plato's sensible realm). He argued that this source of order and structure was discoverable in the so-called vacuum state, the zero-point energy field. In seminars at Birkbeck he asserted: "in one cubic meter of [so-called] empty space, the amount of energy is much greater than the total energy of all the matter in the known universe!" Matter is merely an "excitation on the virtual sea of implicate order."

Reminiscent of Plato's prisoner watching the shadows on the cave wall, Bohm maintained that the fractal "discontinuity or sudden jumps at the quantum level may be considered as a shadow crossing the wall." M.S. El Naschie's contribution provides the detailed content for Bohm's platonic conceptual framework. Beginning with his 1994 paper "Is Quantum Space a Random Cantor Set with a Golden Mean Dimension at the Core?" (PDF) the E∞ space-time theory provides a profound theoretical basis for the central role the golden section plays as the "

*winding number*" in the harmonic manifestation of quark and subatomic particle masses through the continuous symmetry breaking of vacuum state fluctuations:

The appearance of the Golden Mean, its inverse as well as its square value with both negative and positive signs as the frequency of vibration and mass-energy factor indicate that it is the simplest realistic unit from which a Hamiltonian dynamics can start developing a highly complex structure, a so-called nested vibration... The Golden Mean plays a decisive role in nonlinear dynamic stability and chaotic systems as shown in the celebrated KAM theorem [Chaos Border of Kolmogorov, Arnold and Moser] and in high energy particle physics... The KAM theorem asserts that the most stable periodic orbit is that which has an irrational ratio of resonance frequencies. Since the Golden Mean is... the most irrational number... the corresponding orbit is the most stable orbit... In the view of string theory, particles are vibrating strings. Therefore to observe a particle, the corresponding vibration must be stable and that is only possible in the KAM interpretation which we call the VAK Cantorian theory of vacuum fluctuation, when the winding number corresponding to this dynamics is equal to the Golden Mean. -- El Naschie

El Naschie discovered that particle physics seen through the eyes of E∞ appears to be "a cosmic symphony." The particles "are a rather non-complex function of the golden mean and its derivatives." The following E∞ quark masses "are in excellent agreement with the majority of the scarce and difficult to obtain data about the mass of quarks. It takes only one look at these values for anyone to realize that they form a harmonic musical ladder."

Following the extract above there are tables purporting to show the masses of various elementary particles in terms of (-1 + sqrt 5)/2.

Scott Olsen is a professor of philosophy and religion. You might guess that from the quality of the math and physics in this extract; from the use of words like "superimplicate"; and from the citations of Plato.

Hi Jason,

ReplyDeleteYou like to sling mud at everyone, huh? I don't see anything wrong with a Professor of Philosophy writing a book about the Golden Ratio. Scott lives a few hours away in Ocala, FL (my mom was born in Ocala at the Munroe hospital), we have exchanged books, and I recognized the potential importance of Lucas numbers from his book (although I referenced the more recognizable "Math World" by Weisstein and Wolfram). Check out my FQXi essay at:

http://www.fqxi.org/data/essay-contest-files/Munroe_Is_Nature_Continuous_1.pdf

The figure at the bottom of the last page references Scott's book...

Have Fun!

Ray Munroe

Hi Ray,

ReplyDeleteThanks for commenting. Scott Olsen is an E-infinity group member, so of course I go after him. I quoted him. That's not slinging mud.

Here's Ray's link enlivened: Scales Solve the Continuous vs. Discrete Paradox (PDF).