Sirsty = Spiral of Inverse Radius Space Time.
Firsty = Fabric of Inverse Radius Space Time.


The Sirsty Firsty website is devoted to studying the inverse distance squared law by means of naive marker points rotating in the inverse distance squared field. These naive marker points embody a set of simple harmonic oscillators. The Sirsty Workbench allows you to setup the parameters that shows these points in their simplest form.

These points can be colored by a set of colors in a repeating cycle. This leaves a trail of contrasting color behind as the points move around in their circular paths. The Firsty Workbench allows you to set up the parameters that show these colorful impressions as they are made.

We see that in the inverse distance squared field, the points produce color patterns that are somewhat distorted in comparison to the patterns produced by points rotating in an inverse distance cubed field. The points animated by the inverse distance cubed field produce color patterns that are spaced out at regular intervals.

This suggests the inverse distance cubed field may be the underpinning of the inverse distance squared field. The inverse distance squared field would then be a product or integration of the inverse distance cubed field.

The Sirsty Firsty model shows how a set of simple harmonic oscillators hold points in a formation.

The Sirsty-Firsty model dubs 3 of these patterns Rat, Ape, and Monkey.  These patterns appear as a result of unique configurations in the Firsty workbench.


The Sirsty Workbench

Figure 1. The spiral points workbench is dubbed Sirsty for Spiral of Inverse Radius Space Time. 
The Sirsty workbench employs naive marker points moving at uniform speed in their respective circles.
(Click on image to use workbench)


Sirsty Type # Tangential velocity V
 as a function of radius R
Inward acceleration a
 as a function of radius R
 
Solid Line  V = R a = R <= solid body rotation 
V = R ^ (1/2) a = 1  
1 V = 1 a = 1 / R   
2 V = 1 / R ^ (1/2) a = 1 / R ^ 2 <= inverse distance squared field 
3 V = 1 / R ^ (1) a = 1 / R ^ 3 <= inverse distance cubed field 
4 V = 1 / R ^ (3/2) a = 1 / R ^ 4  
5 V = 1 / R ^ (2) a = 1 / R ^ 5  

Table 1. The Sirsty types. Each Sirsty type has a different velocity function V ( R ).
The velocity function determines the speed of each of the many black marker points.
The Sirsty tpes obey the equation for circular orbital physics that relates velocity V to acceleration a.
Namely, V^ 2 / R = a.


Figure 2. A graph plotting the velocity profiles for the first 8 points in Sirsty types 1 through 5.  
(Click on graph to see full size)


The Firsty Workbench

Figure 3. Firsty stands for Fabric of Inverse Radius Space Time. 
The Firsty workbench employs Sirsty points to lay out colors as the points move step by step around in their respective circles. 
(Click on image to use workbench)


Introducing the Rat Ape Monkey designs.

Sirsty type (3) is the inverse distance cubed field. This field employs a velocity function of V = 1 / R.
The next three figures are examples of Sirsty Firsty (3) (1) color patterns.

Figure 4. The Sir Fir (3) (1) pattern dubbed 'Rat'. The five orange circles are the main settings that make this pattern appear.
This particular example was made by setting the Color Cycle to 8 at the start, then going through the numbers back to 1.


Figure 5. The Sir Fir (3) (1) pattern dubbed 'Ape'. The five orange circles are the main settings that make this pattern appear.
The green circle indicates the Ape face.


Figure 6. The Sir Fir (3) (1) pattern dubbed 'Monkey'. The five orange circles are the main settings that make this pattern appear.
The monkey face appears at a 45 degree angle.


 

Tour 1 Introduces Rat Ape Monkey

Tour 2

Tour 3

Home = www.sirsty-firsty.org . Email = admin@sirsty-firsty.org  Copyright © 2014-2015 Sirsty-Firsty by Mark Goettsche