Dynamic Universe Model: a Singularity Free N-Body Problem Solution

Authors: Satyavarapu Naga Parameswara Gupta

The failure to arrive at a singularity free solution for a general N-body problem for nearly 300 years has led people to treat this case of N-body simulations as being very turbulent. But I would like to reiterate and say that there is no reason for chaos here in Dynamic Universe Model. I am able to say this confidently after having worked on this Model for the last 18 years and creating 100,000 simulations using this SITA algorithm. The trick here is to follow the law of Newtonian Gravitation fully without any deviation to calculate the Universal Gravitational force (UGF) on each mass. Other N-body simulations either deviated from this law or did not calculate UGF. Apprehensions abound in any new field. As pointed earlier, my work in the last 18 years has given me enough confidence and I can say that the solution proposed hereunder will work almost in any physical situation and explain all the anomalies which arose due to the earlier theories. I can prove the working of the algorithm to any technical team. Many people asked me the reason for selecting 133 masses. There are many reasons for this ‘why133 masses?’ question. It was in the beginning of the 1990’s that the Dynamic Universal Model project began. The common man had minimal access to computers during this period in India. Processor 8088 prevailed. PC with two floppy drives was becoming redundant and was being slowly replaced by the hard drive. This resulted in limitations to data handling capacity. Computers used to take a few hours to calculate something like 50 iterations. Today, these iterations can be done in 8 to 10 minutes with a five – year old laptop. The Milkyway, our Galaxy has 1011 Stars approximately with number of planets being an additional 10 times. Estimated number of dwarf planets would be 1000 times the number of planets, say about to 1015. Chunks of planets and asteroids may be a million times the number of planets, say about 1018. All these figures are on the lower side. Hence, about 1019 masses and their positional data is required to simulate a Galaxy. The total number of masses required to simulate would be about 1025 to 1028. Is there any Super computer on Earth, which can handle such huge amount of data, today? Do we have all such data to feed the computer? May be 133 masses are too less a number to begin a simulation. However, even 3 body problem is not simple to solve directly with the usual differential equations method. Even if we create a simulation with a million or 10 million masses, it will approximately be 1020 less than what is required for simulating the universe. My resources being limited and having no access to higher computers, the best I can do is testing this SITA algorithm of Dynamic Universe model for the various situations within the available resources and time. I have carried out this work out of my own interest and have not sought any Government or University funding for the same. I came up with the Dynamic Universe Model after 18 years after much effort and hard work. The Model uses Newtonian Gravitation for calculating the resultant Universal Gravitational force on every mass. No special assumptions have been made for arriving at the Model. In those days I did not think of lower side at all like N=2,3 4..etc. What I was aiming is to accommodate as many numbers of masses as possible. I did not take it in the way of mathematical induction process, i.e., if it is true for n=2, and n=3, then test for n and n+1. I have no way of testing that approach. People asked me why I worked with only 133 masses. The SITA simulations can be done with higher number of masses on any Supercomputer provided funds and resources are available. I have successfully tested the SITA solution for 2, 3, 4, 133, 25000 point masses. I am sure we can arrive at the same results when tried with higher masses also. Now I can say, this Dynamic Universe model is no more a fantasy, but it is reality …………..

Comments: 120 Pages. This Book was published in Germany ISBN 978-3-639-29436-1

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[v1] 2016-09-10 19:13:01

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