Saturday, March 13, 2010

Course 3 on Lorentz-Four-Contractions, Solutions to Test 2, Part 1

1) One person stands still in the middle of one pedestrian lane that is parallel to two other pedestrian lanes. A second person travels smoothly down one of the two remaining lanes in a craft that is moving at .8c in a given direction. A third person travels smoothly down the third lave in a craft that is moving at cos(30degrees)*c. The initial person described would have a mass, time, and length that would agree with a terrestrial observation. The second person described would have a mass that would be (1/.6) times as much as the initial person, experience .6 the time as the initial person, and would appear to the initial person as having a length (if he/she could theoretically detect the second person) of .6 of the length of the said initial person. The third person, from the perspective of the first person, would experience half the time, have twice the mass, and wold have half the length of the first person, relative to the described first person.

2) The slowest object, (1m/s), from a stander by, would have the least mass, would have the largest length, and the slow moving object would experience the most time. The "moderate" speed, (.01c), would have a barely noticeably smaller length, a larger mass, and would experience less time relative to a stander by. The object traveling at .1c would have significantly less length, would have significantly more mass, and would experience significantly less time relative to a stander by.

3) At the speed of the fastest electron, if you traveled for one-fourth of a relativistic day, over a million years wold have occurred on earth.

4) A mass that has a light-cone-gauge topology that is Kaluza-Klein cannot travel right at light speed because then it would then have all of the mass in the universe. This is shown by the equation m=(1/(1-(v^2/c^2)^.5)). As will be discussed in later courses, this is because a phenomenon with Yau-Exact exterialized singularities that has an abelian topology can not have more than the substringular maximum of fractal and tinsel modulae without fraying.

5) An object that travels just over light speed would have a relatively short imaginary length, would experience a relatively short imaginary time (causing the person to then go back in time), and would have a relatively large imaginary mass relative to a stander by. The object traveling moderately faster than light would experience a larger imaginary length relative to a stander by, would notice time go by in a worm-hole, yet basically no terrestrial time would happen then. The person just spoken of would experience a larger imaginary mass relative to a stander by. A person who travels way faster than light on paper would actually experience the largest imaginary length, would notice way more time within ultimon flow than otherwise ( a stander by cannot experience ultimon flow), and would have a mass that would be quantized with ultimon flow.

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