The M/M/+M® Model (Version 1)
Date: 07/07/07 The second story in Part II, is about a M/M/+M® Model simulation of signal transmission in Phi Mode. The M/M/+M® Model will use Phi Mode to test an alternative set of assumptions. Either mode can be used to simulate signal transmission and to get predictions of end-to-end response time as well as predictions of other performance metrics. However, Phi Mode uses a length contraction equation that does not require the unproven clock synchronization "fudge factor". Since SR as well as the M/M/+M® Model in SR Mode do not use the same mechanics as the M/M/+M® Model in Phi Mode and since they do not predict the same values as Phi Mode for some relativistic phenomena such as one-way response time components and stellar aberration, only one mode can be the most statistically reliable. The Phi Mode story in Part II is not a "Theory" such as SR "Theory" it is simply a predictive model that is based upon queuing theory and can be proven to be a more reliable predictor of some relativistic phenomena. Arguements concerning scientific validity are moot for predictive models because reliability and accuracy of predictions are a predictive model's raison d'être; scientific validity of the underlying theoretical concepts such as queuing theory is irrelevant for the purpose of prediction.
By Ken More
Two stories are presented at this web site that discuss two modes of operation of a generalized model called the M/M/+M® Model, Version 1 (V1). These two stories may be difficult to grasp for someone who has not worked with generalized mathematical models or with Special Relativity. Therefore, if you find these stories to be difficult to follow, it is recommended that you first read the Primer. The Primer "Michelson & Morley + More" discusses a special case of the two stories that is similar to the Special Relativity story told by Albert Einstein about predicting the response time for light to move to the front and return to the back of a speeding train. The primer has a more detailed description of the mechanics of light for this special case and is much easier to understand than the more global and generalized form of the Part I and Part II stories posted at this web site. The Primer is available at the Primer Page of this web site.
The first story in the Part I page on this web site, is about a M/M/+M® Model simulation of signal transmission in SR Mode. This story will describe concepts found in the theory of Special Relativity (SR) but will not use the actual SR equations, instead it will describe the derivation of a new set of equations based upon queuing theory and a Relative Response Time (RRT) Hypothesis. Part I will concentrate on the details of a model that is more generalized than SR theory and can simulate the mechanics of signal transmission between two moving points for a wide range of "What If" scenarios including the assumptions made by SR theory. Special Relativity Theory (SRT) is being taught in schools and universities even though the length contraction and clock synchronization assumptions made by SRT have not been proven; therefore, these assumptions may be nothing more than science fiction. Those who believe that these two assumptions have been proven are very gullible and are out of touch with historic facts.
Two M/M/+M® Model Beta Test Versions (V1 and V2) are available as Microsoft Excel® files to qualified researcher's at Universities for research purposes at no cost and may be acquired upon request by an e-mail to ken-more@ken-more.com. Version 1 (V1) is a generalized model that will operate in SR Mode or Phi Mode. Version 2 (V2) will perform a wide range of starlight aberration "What If" simulations that can be executed in Phi Mode. The modes will improve your range of vision and solve many unresolved mysteries such as understanding the precise cause of starlight aberration, resolution of the twins' paradox, and understanding issues related to preferred vs. relative (or completely symmetric) inertial frames as well as clock synchronization issues. These mysteries are beyond the ken of human intelligence without the aid of a model that visually simulates or emulates the mechanics of electro-magnetic signal transmission. The stories in Part I and Part II will serve as an elementary course on the mechanics of signal transmission and on the RRT Hypothesis. A license for use of the M/M/+M® Model will be required, however, this license will be given to qualified researcher's employed by a University at no cost and a M/M/+M® Model Beta Test Version (V1 and/or V2) will be sent as an e-mail attachment after the license agreement is signed.
PART I: Simulation of Signal Transmission in SR Mode
PART II: Simulation of Signal Transmission in Phi Mode