## Monday, October 31, 2005

### Parallel lines to spherical and hyperbolic functions

Like different musical instruments, different types of stars produce different types of sound waves. Small stars produce a sound with a higher pitch than bigger stars, just like the 'piccolo' produces a higher sound than the cello

Did one ever figure out the value of the pitch? So you see, the universe is a concert as well:) You remember Pascal's triangle? The probabilistic valuation asined to the marble drop? Well I created another triangle, but it is a little different model, and does not use numbers for mathematic discretion as a emergent property of first principal. Although mine is distinctive of these characteristics the universe is being applied in sound relation.

An equation means nothing to me unless it expresses a thought of God.
Srinivasa Ramanujan

The most rarified of the matter is a "energy relation in sound", while at the base of this pyramid, all the myriad forms of matter in expression.

Artists such as M. C. Escher have become fascinated with the PoincarĂ© model of hyperbolic geometry and he composed a series of "Circle Limit" illustrations of a hyperbolic universe. In Figure 17.a he uses the backbones of the flying fish as "straight lines", being segments of circles orthogonal to his fundamental circle. In Figure 17.b he does the same with angels and devils. Besides artists and astronomers, many scholars have been shaken by non-Euclidean geometry. Euclidean geometry had been so universally accepted as an eternal and absolute truth that scholars believed they could also find absolute standards in human behavior, in law, ethics, government and economics. The discovery of non-Euclidean geometry shocked them into understanding their error in expecting to determine the "perfect state" by reasoning alone.

Sometimes it is good take this idea of sound as a analogy like fluid dynamics so that you can see how far one can be lead to non-eucildean views, and ideas of resonant points that are localized, yet, recognizing the quantum view here, would be a dynamcial one and as fluid? Putting reverberations aside, and discrete measures, think how such blurring could take on new meaning here in uncertainty?

By studing the early inclinations of people who have this affinity to "sound" how can one not be intrigued by what is to follow after, in the generalizations of mathematcial minds and physicists who are struggling to measure those same gravity waves?

In the late 1950s, Weber became intrigued by the relationship between gravitational theory and laboratory experiments. His book, General Relativity and Gravitational Radiation, was published in 1961, and his paper describing how to build a gravitational wave detector first appeared in 1969. Weber's first detector consisted of a freely suspended aluminium cylinder weighing a few tonnes. In the late 1960s and early 1970s, Weber announced that he had recorded simultaneous oscillations in detectors 1000 km apart, waves he believed originated from an astrophysical event. Many physicists were sceptical about the results, but these early experiments initiated research into gravitational waves that is still ongoing. Current gravitational wave experiments, such as the Laser Interferometer Gravitational Wave Observatory (LIGO) and Laser Interferometer Space Antenna (LISA), are descendants of Weber's original work.

Athena:
The angle of the strikes in relation to the sides of the triangle would be the same as well, delivering similar tones. With other triangle types, depending on the lengths of the sides and the angles, you may have to adjust for the differences while you were playing if you didn’t want those effects.

While one might think of the triangle of consideration, it would not be to hard to figure that architectural features would have also harnessed? Similar respective examples of solutions from angled to parallel lines, leads to hyperspherical "inner" solutions of the dome, as a consequence of dimensional shape exploitation?:)

Bernhard Riemann once claimed:
"The value of non-Euclidean geometry lies in its ability to liberate us from preconceived ideas in preparation for the time when exploration of physical laws might demand some geometry other than the Euclidean."

So how would they overcome this commanding voice and spread out what is focused? A saucer?

An Acoustical Nightmare

"According to one parishioner, the echoes were so bad under the egg-shaped done of Oklahoma City's First Christian Church of Tomorrow that when the minister spoke it sounded 'as though God were repeating every word he said, only much louder." In the hope of deflecting the echoes, a 20-ft saucer was hung from the apex, but it had no effect. An acoustician finally solved the ploblem by overpowering the echoes with an amplifying system. Carefully filtered sound now come from the round speakers on the walls and spreads evenly-and without echoes-over the congregation." Time-Life, Sound and Hearing, p189.

While seeking to provide good journalism and link to hyperphysics I wanted to extend this to a image. It is unfortunate this could not be done. So, you are left with the source for consideration and perspective. I thought it fitting to the struggles of "sound production" and your "tone variation" on the triangle's length and angle being hit.

So let's say Michelango sought to send God's "word" to some mortal human like Adam for consideration in the garden? Would he have done it in the way a artist might see such features of sounds reduced to the "chorus of shape" foculizing this power in mortal man? It had to be a thunderous approach? NOn! Oui

Michelangelo's Creation of Adam in the Sistine Chapel in Rome

Make sure you hit "next" three times