ACTION Start revolving an earth small juggling ball about a large basketball and walk around your audience for the Galactic Rotation part of our motion as you say:

JUG:008 JUGGLEOMETRY HISTORY

A most significant historical development for a Science of Juggleometry was

made when Galileo studied falling motion.

His observations of pendulum motion and time

as well as establishing the independence of horizontal motion and vertical falling

motion of an object were also fundemental to our understanding Juggleometry.

FIRST TRANSPARENCY • Galactic Rotation & Planetary Rotation

Galileo demonstrated how we may test if the earth orbits the

sun while rotating on its axis.

From Galilieo's studies came the initial foundation for "relativity" with an idea

of moving frames of reference represented by a Galilean Transformation.

For example:

We juggle and walk down a street say from east to west

and observe each parabola pattern per toss.

Our spectators from the roadside see a different parabola for each toss.

Although flight times of a toss are about equal for spectators and

walker/juggler, the distance a toss travels is very different.

The walker/juggler may see the motion from one hand to the other for a toss.

Spectators see the ball moving down the street compounded with ball

motion from one side to the other side of the juggler.

Earth orbiting astronauts, if they could, may witness yet another pattern.

Oddly these different parabolic paths have virtualy the same space-time curvature.

In fact, different pattern heights for two tosses each going from point A

to point B make different space parabolas that have the same spacetime curvature.

SECOND TRANSPARENCY • Wheeler's Curvature For Spacetime Tosses

How fast are our spectators moving through space together as we walk and juggle?

Just for a start we will consider the turning earth.

Assume the earth has a diameter of 3,963 mi.

Assume our St. Louis latitude is near 38 degrees 38 minuets.

Show me that we are traveling near 810 mi/hr here in St. Louis Missouri?

That is 14,264.08466 inches per second.

That's a whole lot of motion going on! Then there is earth's orbit around

the sun and the sun's orbit about the galactic center contributing

to the speed of our toss.

And we think of our juggling ball as though it is in free fall!

ACTION Lift a heavy object.

400 Earth orbits about the Sun which is around 400 times 365 and a fourth =

146,104 turns of the earth after Galileo's stedfast arguments we find ourselves

thinking "SPACETIME GEOMETRY" rather than "FORCE OF GRAVITY".

Galileo did not FORCE gravity on us - that was Newton.

When we jump or fall we do not feel a force pulling on us, we experience FREE FALL.

FREE FALL is the "straight line" geodesic path of SPACETIME.

Every tossed object is following a geodesic curve of SPACETIME

as it moves from point A to point B.

This geodesic curve followed by a tossed object is a parabola.

And s = .5 a t ² is good fit to the vertical distance - time relationship.

But s = .5 a t ² is not supported by Newton's F = (GmM)/(r²).

The Principle Of Maximal Aging now supports the vertical

distance - time relationship.

ENTER - a new way of looking at the UNIT JUGGLE or any other toss.

To speak to the relevance of our efforts to graph these parabola patterns

I pose a phyiological explanation:

Is the three dimensional path of a tossed object just a figment of the

persistence of an image in our optical neurons?

If you will darken this room I will show you a trick demonstrating the 1/60? image persistence.

ACTION Start juggling the red glow balls or set up the projector with a juggling slide and wave a white yard stick.

Is the motion in time just a vaper trail on our memories?(persistence of time sense)

•Next JUG:009 UFTOJ with Claude E. Shannon

•Next JUG:0010 Rhythmic Juggling with Peter Jan Beek

with all rights reserved by

William V. Thayer, PedLog contact!