Hi FEers!

MotivationThe purpose of this post is to begin the formal development for a rigorous FE theory. Part I will lay the foundation for constructing the formalism. After some searching, it appears that there are presently no modern FE theorists, and this inhibits efforts to establish FE theory.

OrganizationPart I will set the basic assumptions and concerns. I would politely ask that replies are limited to these items, simply to keep the information organized and usable. I ask for the help of other FEers in this development, as they have a greater understanding of the current status than I. TomFoolery is investigating experimental designs for testing these theories, and I hope data will soon be forthcoming.

Assumptions1. The surface of the Earth is a plane on large scales.

2. The Earth accelerates upward at a constant 9.8 m/s^2. Additional sig figs to be found later.

3. The Sun is an object located above the Earth (at some yet to be determined distance). It must accelerate at the same rate as the planar Earth (on average), in order to match zetetic everyday observations.

4. The Moon is an object located above the Earth (at some yet to be determined distance). It must accelerate at the same rate as the planar Earth (on average), in order to match zetetic everyday observations.

Initial Definitions1a. An object has the property of mass, which is measurable.

1b. An object has the property of speed, which is defined as displacement/time.

2a. Locations in space can be uniquely defined using three numbers only. For a given chosen origin, an object's position can be uniquely stated as a position vector (r): which points from the origin to its (x,y,z) location.

2b. If an object changes its position, we can trace the change in its position as a derivative of time: dr/dt, this rate of change can be defined as the velocity.

2c. If an object's velocity changes, we can trace the change in its velocity as a derivative of time: dv/dt, this rate of change can be defined as the acceleration.

3a. We are then allowed to define an object's momentum, using 1b and 2b, as: p:=mv, where v:=dr/dt.

3b. We are then allowed to define an object's change in momentum, using 3a and 2c, as dp/dt:=mdv/dt=md^2r/dt^2.

Help Needed1. Descriptions of the Sun's motion across the sky needs to be mapped. Using the definitions above, it should be possible to describe its trajectory, for a given location (chosen origin) on Earth. Generalizing this to any location on Earth will require coordinate transformation equations which should be possible.

2. Same as 1 above, but for the moon.

3. An interpretation for dp/dt.

4. Any amendments to the assumptions or definitions above.

Thanks everyone for any help! This will likely be an involved process, but a worthwhile one