Calculations for "Wider Lens"

 

A simple rendering of the calculations referenced in "Wider Lens":

60sec x 60min x 24hrs x 365.26days = 31,558,464 seconds experienced per yr on Earth

t' = t/sqrt(1-u~2/c~2) = sqrt (1 - 150000~2/300000~2) = sqrt (.75) = 1/.866 = 1.155 Earth seconds for each Starlapper second

8 Earth years / 1.155 = 6.926 Years by Starlapper clock for entire journey

.926 x 365.26 = 338.23 days (365.26-338.23) = 27 days [8-6.926 = 1yr+27days] ...Observer younger by 1yr+27days

At launch, there were already 15,779,232 blips inscribed in the space between Earth and the first way-point. In the year that it will take the Starlapper to reach the first way-point, a full years worth of blips will pass the first way-point. The Starlapper must implicitly integrate with 15,779,232 blips plus 31,558,464 blips in the Earth year it takes the Starlapper to get to the first way-point. 15,779,232 + 31,558,464 = 47,337,696 total blips are experienced/counted by the Starlapper in one Earth year as it attains the first way-point.

Concurrently, the Starlapper's clock is running slower than the Earth clock it left behind. The inherent 31,558,464 tics are scaled by 1.155; thus the Starlapper's clock reads 31,558,464/1.155 equal 27,323,345 total tics at first way-point.

47,337,696/27,323,345 = 1.732 blips are experienced by the Starlapper per each second on his slowed clock. This suggests that the pulsar is speeding up, except that ALL external criteria are similarly quickening. Either the whole universe has sped up, or the Starlapper's frame has slowed down.

By all earth clocks, the rate at which the Starlapper integrates with the pulses is 47,337,696/31,558,464 = 1.5 seconds.

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