[RascalPuff]

Are Lorentz Transformations - as Einstein applied them to moving matter - exlusively applicable to the microcosms, or, are they covariantly solvent in the macrocosms as well?

[neutralino]

Originally Posted by RascalPuff Are Lorentz Transformations - as Einstein applied them to moving matter - exlusively applicable to the microcosms, or, are they covariantly solvent in the macrocosms as well?

I'm not sure I totally understand your question. What do you mean by microcoms and macrocosms?

[RascalPuff]

Originally Posted by neutralino I'm not sure I totally understand your question. What do you mean by microcoms and macrocosms?

Hi Neutralino:
In more colloquial terms, will a rocket and/or a rhinocerous contract in the direction of its motion at a rate proportional to its linear velocity, as offered in Einstein's application of Lorentz transformations to microcosmic entitites - 'Particles', 'waves', 'fields', etc.

Best regards,
- RP

[RascalPuff]

Dear Neutralino:
Please consider the following review of a previous post, which went unresponded to.

Re: Are Lorentz Transformations exclusive to microcosmic phenomena? - 12-20-2007, 02:06 PM


Quote:
Originally Posted by RascalPuff
Are Lorentz Transformations - as Einstein applied them to moving matter - exlusively applicable to the microcosms, or, are they covariantly solvent in the macrocosms as well?
______________________________________

I'm not sure I totally understand your question. What do you mean by microcoms and macrocosms?

~neutralino
______________________________________

Originally Posted by RascalPuff Hi Neutralino: In more colloquial terms, will a rocket and/or a rhinocerous contract in the direction of its motion at a rate proportional to its linear velocity, as offered in Einstein's application of Lorentz transformations to microcosmic entitites - 'Particles', 'waves', 'fields', etc. Best regards, - RP

A review of the issue, follows:

4-D MassField Doppler Effect
Consider the physical consequences of an expanding field. Such definable field areas of space may have any number of dissimilarities. But all manifestations of expanding field energy have in common one inevitable characteristic.
Consider the comparative relationship of two otherwise totally unrelated fields. Specifically, we will compare the qualities of an expanding field of sound with that of an expanding field of electromagnetism - which is light. (Refer to Drawing 1 Illustrations 5 & 6)


In the example of a field of sound, consider a simple mechanical alarm clock which is ringing, but not otherwise moving relative to an observer. The innermost circle represents the outside diameter of the alarm clock itself; of course the concentricity's emanating from center - the ringing alarm clock - represent the systematic structure of sound waves projecting omnidirectionally from it. In the case of sound, the field is expanding from the alarm clock @ slightly less than 1,100 ft. per-second.

Note, that the sound-Field system which is circumscribed by and contained within the area encompassed by the outermost (largest; oldest) sound wave is completely symmetrical (illustration 5); that is to say, it has the same uniform structure in any direction from the center-source and throughout all of its parts.

Now consider the above diagram of a ringing alarm clock as a source of light rather than sound. Whereas, light does not require a conducting medium to support its motion through space from its source, and sound does, and, whereas light moves at 186,282 miles-per-second as compared to the l,lOO foot seconds of sound. Nevertheless, what these two comparatively considered fields do have in common becomes graphically evident when either or both of them are in motion relative to an observer.

That commonalty is a well known phenomenon, originally discovered in the mid-1800's by the Austrian physicist, Christian J. Doppler. This phenomenon is acknowledged to be invariably characteristic of all expanding fields. It is called 'Doppler effect', or sometimes 'Doppler shift/ contraction'. The definition of which is: 'The contraction of any field system in the direction of its motion at a rate increasingly proportional to the velocity of its (center) source'.


When we consider the field source to be a ringing alarm clock, we observe in that case the indicated left-to-right motion of the alarm clock - or the right-to-left motion of the observer - to be approximately one half the speed of sound.

When we consider the moving source of the field to be a light-field source rather than a sound-field source; we then consider the left-to-right moving source or the right-to-left moving observer to be moving at approximately 4/5ths the speed of light.

Under these circumstances, the field is no longer symmetrical. The structure is not uniform in all directions from the source and throughout all of its parts. It is instead contracted in the direction of its motion; the contraction ratio corroborates to relative speed; forming a non-symmetrical field system; reasonably approximated in the referenced illustration.


Let it be emphasized here that Doppler contraction is not and has never been applied to, or recognized as, applicable to Matter (Matter is stringently relegated as a static, non-expanding 'particle', not a field).


I have said that Einstein proved that matter is 4-Dimensional. Yet, I have also said that Doppler effect has never been applied to matter.


This can only mean that Doppler effect is not applicable to matter; for the inevitable reason that matter is not an accelerating 4-Dimensional field after all. Or, that Doppler field contraction is actually applicable-to and exhibited-by matter, but that this application - like the 4th Dimension itself - has yet to be recognized.


Either, matter is found to exhibit Doppler shift and is therefore reconfirmed to be 4-Dimensional. Or, matter does not exhibit any evidence of Doppler shift, and, therefore, cannot possibly be a 4-Dimensionally expanding; accelerating field.

Presently introducing for review one of the several unexpectedly discovered prevailing conditions of reality; derived yet once again directly from Einstein's combined Theories of Relativity.


Its original technical derivations are the mathematical equations of the Dutch physicist, Hendrik Antoon Lorentz. Einstein's functional incorporation of the Lorentz equations within Relativity Theory, are, for this reason now totally acknowledged among and familiar-to the physical science community at large.

Specifically these equations are termed, 'the Lorentz/Lorentzian Electromagnetic Equations'. Successfully and covariantly employed by Einstein, combined with Maxwell's electromagnetic equations, to describe the behavior of sub-atomic particles (sub-atomic charges of electricity).


Although H. A. Lorentz originally intended their application exclusively to moving sources (particles/charges) of electromagnetism or light, Einstein, very interestingly found another and quite unexpected application for them. Specifically, Einstein discovered that Lorentzian Electromagnetic Field Transformations are descriptively applicable to matter (in motion) itself.

(The term, 'Lorentz Transformations' may sound somewhat formidable. What is mathematically and faithfully described here is still - non-mathematically - already familiar. To quote non-mathematically, what Lorentz Transformations describe, by way of what Einstein categorically proved:
'Matter: contracts in the direction of its motion at a rate increasingly proportional to its velocity'.


That is to say, matter (be it rocket or rhinoceros?), and all of its contents, contracts in the direction of its motion at a Lorentzian measured rate increasingly proportional to its velocity. A brief but excellent non-mathematical elaboration of this fact can be found on page 190 of THE EVOLUTION OF PHYSICS, by Albert Einstein and Leopold Infeld. More elaborate documentation of this fact is available in any advanced physics text on Relativity.

Best regards,
- RP