Algebraic rotation -- no transcendental functions

Beyond the boundaries of established science an avalanche of exotic ideas compete for our attention. Experts tell us that these ideas should not be permitted to take up the time of working scientists, and for the most part they are surely correct. But what about the gems in the rubble pile? By what ground-rules might we bring extraordinary new possibilities to light? If you have a personal favorite theory, that is in someway related to the Electric Universe, this is where it can be posted.
User avatar
joebakhos
Posts: 7
Joined: Tue Mar 07, 2023 5:03 am
Location: Big Bear Lake, California
Contact:

Algebraic rotation -- no transcendental functions

Unread post by joebakhos » Fri Mar 24, 2023 2:58 pm

I present a new type of angle measure called quaterns. Measuring rotation in quaterns means that all of the trigonometric functions and their inverses become algebraic, not transcendental. No transcendental functions, no imaginary numbers, no infinite sums. If computer graphics were rendered using quaterns, it would greatly decrease computing time, because the current algorithms use truncated infinite sums, whereas using quatern rotation would be algebraic. Note that the paper and also the comments in the video contain links to the online calculators that greatly speed the work, if you would like to try it for yourself.

This most recent paper is submitted, it demonstrates solving a triangle algebraically. Here is the preprint: https://vixra.org/abs/2303.0144

Here is a video wherein I demonstrate using this method to solve a triangle: https://youtu.be/KDYj4HDBfGs

Here is the paper from two years ago first introducing the idea. At that time, I did not know how to add or subtract quaterns, so they were only good for approximate solutions. The new paper already posted up above shows how to add and subtract quaterns, so now all solutions are exact: https://vixra.org/abs/2102.0114

Who is online

Users browsing this forum: No registered users and 3 guests