Sunday, October 30, 2005

Inverse Square Law, Sound

Acoustic Physics

Of course you must remember, that I was influence by the Triangle man, and the idea of sound valuation in the determinatins of how we see differently. While complex math is the desired result of all the efforts of physics explanatory developement, there are ways in analogistc senses, that we may compare the values of the auditorium and how sound is reproduced for us visionaries of a slightly more complex reality we all like to further develope beyond that standard model.

In more technical language, sound "is an alternation in pressure, particle displacement, or particle velocity propagated in an elastic material" (Olson 1957) or series of mechanical compressions and rarefactions or longitudinal waves that successively propagate through media that are at least a little compressible (solid, liquid or gas but not vacuum). In sound waves parts of matter (molecules or groups of molecules) move in a direction of the spreading of the disturbance (as opposite to transversal waves). The cause of sound waves is called the source of waves, e.g. a violin string vibrating upon being bowed or plucked.

So while indeed I am sort of in dismay as to what the reality is in presenting Quantum geometry to the realms of quantum gravity, the mathematical valuation is very real and sealed for those math types, that the issue of "points" become blurred as in any quantum mechanical position of uncertainty, that when we see sound valution take on different energy determinations radiate outward from sources un impeded how smooth does it actually look?

The sound intensity from a point source of sound will obey the inverse square law if there are no reflections or reverberation. A plot of this intensity drop shows that it drops off rapidly.

Amazing Sounds

There are rules we follow and some rules that are defined just as they might be in terms of the inverse square law, we see comparative views must hold, to well defined equations. So can we play the game now.

Examples of Reverberation Times

One way to respond to the question "What is a good range of reverberation times for concert halls?" is to give examples of some of the most famous halls in the world. For the overall average reverberation times:

  • Vienna, Musikvereinsaal : 2.05 seconds

  • Boston, Symphony Hall: 1.8 seconds

  • New York, Carnegie Hall: 1.7 seconds

  • But the overall average reverberation time does not tell the whole story. The variation of reverberation time with frequency is also important

    What is a Phonon/Photon?

    Phonon: A particle of sound. The energy E of a phonon is given by the Einstein relation, E = hf. Here f is the frequency of the sound and h is Planck's constant. The momentum p of a photon is given by the de Broglie relation, p = h/λ. Here λ is the wavelength of the sound.

    Photon: A particle of light. The energy E of a photon is given by the Einstein relation, E = hf. Here f is the frequency of the light and h is Planck's constant. The momentum p of a photon is given by the de Broglie relation, p = h/λ. Here λ is the wavelength of the light.

    But with some help here lmitation have been drawn to compaative valuations where such background non background detrminations have foundthemselves combing in views that sucha raod to a quantum grviaty ppursuate in string has less then what is desirable to what most see as necessary.

    Planck Length

    John Baez:
    The most conservative approach to quantum gravity is to seek a theory that combines the best features of general relativity and quantum field theory. To do this, we must try to find a background-free quantum theory with local degrees of freedom propagating causally. While this approach may not succeed, it is definitely worth pursuing. Given the lack of experimental evidence that would point us towards fundamentally new principles, we should do our best to understand the full implications of the principles we already have!

    This has a quick and sobering effect when our views are drawn to such theoretical formats. We have to seen how "discrete points" and "wave functions in smooth topological valuations could have embolden the view of the dynamics in the concert hall, as effects beyond the normal scope of vision. Lives held, and cherished sounds around the feasibility that our choices had effective circumstances in the envirmoment of time valuation.

    While some would set the order of books derived from synoptic events as illusions, more then journalistic festitudes that we all like to engage in, then why can we not a Michio Kaku, or Brian Greene in words become?

    Shall we not assign such views to the roads travelled, in the words supported by "Three Roads to Quantum Gravity?" A Lee Smolin song about the story and views of the three approaches?

    Let's say you are a Peter Woit and success finds you in your new book. Shall we assign you to a separation of groups. To which lives held in distinct sufferings and restrictions to a "alloted time" with which you may have become part fo the "fabric of the populace?" Your duration or shortness of breath?

    It has no end that some will make their empression, and some will become a deeper marker of the wonders about what has traversed through our our reasoning that the desired results by consensus are recognzied even in this division.

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