Revisiting Paradise - A New Perspective on Well-Known Hints


Whoever lives by the truth comes into the light...
[John 3:21]


Because I'm working with numbers that I constantly have to round, all kinds of variations keep poking up.  I know how irritating it was to see my original measurements (which ran to 32 significant digits).  So I've been rounding numbers to 1 decimal place (except for some constants and ratios).


The problem with this method is that a high degree of error creeps in and has to be a part of the process.

Here's an example...

The “official” speed of light for both miles and km is approximately:

A. 186,828.4 miles/second


B. 299,792.5 km/second

We know that the official conversion for miles to km is:

C. 1:1.609344 miles:km

A, B and C are all the same number of significant digits (7).  So I should (with reasonable accuracy) be able to say:

A * C = B

But look what happens:

186,828.4 (A) * 1.609344 (C) = 300,671.2 (?)

That's a difference of 878.7 km, as the photon flies that is!  Imagine how those kinds of errors might multiply as one goes through these exercises. 

Some numbers are exact and some are estimates.  This sloppy process highly skews the results, so that the numbers showing somewhere around the right answer.

I would have to work much harder to be consistent enough for purely coherent measurement, but I just don't have the time or energy to do it. 

I apologize for this lack of accuracy.  My motivation is theoretical.  I am only looking for numeric results that are consistent in magnitude, geometrically and algebraically—though not so much arithmetically.

So, I ask for your understanding.  Trust me that the numbers I give are in the neighborhoods where they should live.  And if you must bust out the calculator, have mercy and take the measurements I offer with little grains of salt.  The more important data are the formulas themselves and the most important thing is the geometry behind it all.




We ended Part 1 of this essay with a speed for the inner Havona Circuit (C1) as a lowest limit for the possible velocity of the worlds therein.  I used “earth speed” (67,062 miles per hour or 107,925.8 km per hour), which would make an ellipse 584,336,233,567.7 miles in circumference.  I likened this to a large solar system and indicated that this is probably way too small an orbit for such a grand grouping of 37,000,000 enormous spheres to follow.

Before we move any further I want to convert my measurements to the metric system.  In recent months I have seen the advantages of using a measuring system that is based on physical aspects (as is the metric system), rather than the British system which relies on arbitrary or traditional values.


Here is a table for light speed conversions:

186,828.4 miles/second = 299,792.5 km/second

670,616,640 miles/hour = 1,079,253,000 km/hour

16,094,799,360 miles/day = 25,902,072,000 km/day

5,878,504,660,573.944 miles/year = 9,460,537,532,460 km/year


Now lets' convert that minimum-limit C1 to kilometers:

In this example, Havona Circuit 1 (C1) has a circumference of: 584,336,233,567.7 miles.  We multiply that by 1.609344 (the conversion ratio for miles to kilometers) and that equals: 940,398,011,474.8 km.

That means that the worlds of C1 are at an average distance of 149,668,992,000 km from Paradise center.  This is close to exactly 1,000 farther than the earth is to the sun (the distance from earth to sun is called an “AU”).  And it re-matches what was referred to in Part 1 (a Paradise/Havona {PH} day equaling almost exactly 1,000 earth years). 

Now that we have a bottom limit that has the following attributes and using the first two terms of the Paradise ratio (x:y = 1.167:1).  

We remember the way to find the approximate circumference of an ellipse when x and y axes are known:

ellipse circumference = p * Sqrt of 2 * [(x/2)2 + (y/2)2]

I found that an easy way to get the x and y axes from any Paradise-shaped elliptical orbit - once the circumference is known – is to simply apply these two formulas:

x = (ellipse circumference / p / 13) * 14

y = (ellipse circumference / p / 13) * 12

[Here is an Ellipse Approximate Circumference Calculator.]

Alright!  Back on the path to estimating the size of the Paradise-Havona system.  So far all we have for our trouble is this:

Elliptical Orbit of C1 at Earth Speed
(107,925.8 km per hour)
Circumference = 940,398,011,474.8 km
x axis = 322,363,982,769.2 km
y axis = 276,311,985,230.8 km
r average = 149,668,992,000 km

Well what if we want to really speed things up.  I believe it was Mark Underwood who wondered if perhaps the Havona worlds might move at velocity of the Fine Structure Constant (that being the velocity of the electron around it's nuclear orbit within the atom, or about 1/137th the speed of light, or c/137, or a).  So, I tried it out on the C1 orbit at it greatly increased it

Elliptical Orbit of C1 at Fine Structure Speed (a)
(7,877,759.1 km per hour)
Circumference = 69,258,963,941,993.8 km
x axis = 23,741,644,693,397.4 km
y axis = 20,349,981,165,769.2 km
r average = 11,022,906,464,791.65 km

That's an average of 1.2 LY from the C1 orbit to the center of Paradise. 

Still seems small to me.  That's not even enough distance to reach a nearby star from our solar system.  It is within reason, but still falls short of my personal expectations for the Central Universe.

Elliptical Orbit of C1 at Light Speed (c)
(1,079,252,996,700 km per hour)
Circumference = 9,460,537,532,460,000 km
x axis = 3,243,027,442,517,501.1 km
y axis = 2,779,737,807,872,143.8 km
r average = 1,505,691,312,597,411.2 km

That's an average 159.2 LY from the C1 orbit to the center of Paradise. 

Now this is more like it! 

Perhaps these inner circuit worlds DO travel at the speed of light.  I can't think of any reason why they wouldn't be able to.  They all move at once in the first circuit.  They would still be stationary relative to each other and therefore serviceable via some local technique.  Moving from circuit to circuit might be more daunting.

In fact, each Havona circuit's worlds will all move as one thin processional line.  But there will be a great differential between circuits. 

Though every world in Havona would be moving at the speed of light relative to its surrounding space, from the Paradise perspective the worlds of the inner most circuit (C1) would be speeding by, but the outer circuit (C7, if the other 6 circuits were not in the way) would seem to be barely moving.

So, for now, I am going to assume that the Havona worlds move at the speed of light.  This can be changed and examined later.  I would caution that the Havona worlds probably don't move faster than the speed of light.  This is not because I don't believe that they can move faster.  I don't think there is a speed limit to things in the Central Universe.  However, the faster that C1 moves the larger the Central Universe will end up being.
We will have to figure out Havona's dimensions in a future essay now that we have a realistic estimate for the size of the inner most Havona Circuit and we have the likely world count for each circuit.

First, though, comes a measurement for the Paradise System (the Isle and the three Sacred Sphere circuits).

Essentially we can now label 9 different proportionally concentric ellipses – each one located 360,336,382,501,944.6 km closer in toward the center of Paradise than the last - with a center point right at the Deity Presence, as follows...

10. The Havona Circuit 1 (C1)
Circumference = 9,460,537,532,460,000 km
x axis = 3,243,027,442,517,501.1 km
y axis = 2,779,737,807,872,143.8 km
r average = 1,505,691,312,597,411.2 km

9. The mid-space ellipse between C1 and the Spirit circuit
Circumference = 8,360,241,133,535,417 km
x axis = 2,882,691,060,015,556.5 km
y axis = 2,470,878,051,441,905.6 km
r average = 1338392277864365.5 km

8. The circuit of the Seven Sacred Worlds of the Infinite Spirit
Circumference = 7,379,933,560,841,604 km
x axis = 2,522,354,677,513,611.9 km
y axis = 2,162,018,295,011,667.3 km
r average = 1,081,009,147,505,833.7 km

7. The mid-space ellipse between the Spirit and Son circuits
Circumference = 6,325,657,337,864,232 km
x axis = 2,162,018,295,011,667.3 km
y axis = 1,853,158,538,581,429.1 km
r average = 1,003,794,208,398,274.1 km

6. The circuit of the Seven Sacred Worlds of the Eternal Son
Circumference = 5,271,381,114,886,860 km
x axis = 1,801,681,912,509,722.7 km
y axis = 1,544,298,782151,190.9 km
r average = 836,495,173,665,228.4 km

5. The mid-space ellipse between the Son and Father circuits
Circumference = 4,217,104,891,909,488 km
x axis = 1,441,345,530,007,778.1 km
y axis = 1,235,439,025,720,952.7 km
r average = 669,196,138,932,182.7 km


4. The circuit of the Seven Sacred Worlds of the Universal Father
Circumference = 3,162,828,668,932,115.5 km
x axis = 1,081,009,147,505,833.5 km
y axis = 926,579,269,290,714.4 km
r average = 463,289,634,645,357.2 km

3. The mid-space ellipse between the Father's circuit and Paradise
Circumference = 2,108,552,445,954,743.7 km
x axis = 720,672,765,003,888.9 km
y axis = 617,719,512,860,476.2 km
r average = 334,598,069,466,091.3 km

2. The Isle of Paradise
Circumference = 1,054,276,222,977,371 km
(111.5 LY)
x axis = 360,336,382,501,944.3 km
(38.1 LY)
y axis = 308,859,756,430,237.9 km
(32.7 LY)
r average = (x + y)/4 = 154,429,878,215,118.9 km
(16.3 LY)
z axis = 30,885,975,643,023.8 km
(3.3 LY)

1. The Center of Paradise – Deity Presence

An Interesting Discovery about the
Speed of Light and the Speed of Earth

In some small way we have accomplished our temporary goal of describing the measurements of the Paradise system.  But, while doing all of this, I made what for me was an incredible discovery.

We had talked about the thousand earth-year Paradise/Havona Day.  We saw that the measurement of Paradise days is almost exactly equal to the thousand earth years. 

THEN, I noticed something extraordinary...


The speed of the earth around the sun is very close to 107,925 km per hour.  Well, amazingly, the speed of light per hour is about 1,079,250,000 km/hour.  In other words, the earth moves through space at almost exactly 1/10,000th the speed of light!

Did anyone else know this?  This earth speed relationship to the speed of light seems so obvious that surely someone has seen it before.  Please let me know if you have prior knowledge of this phenomenon.  This blew me away. 

Not only do we have coincidences like the apparent sun and moon sizes in the sky, and the fact that a PH day is equal to 1,000 earth years, but the speed of light seems to be related to the earth's speed around the sun.  The speed of light ALSO has a good chance of being the speed of Havona worlds around the Paradise system. 

How can this be?

I am still looking at how the speed of light relates to the size of Paradise.  And I will be working up those numbers for sizes of the Havona circuits.

I welcome ANY help, suggestions, criticisms or contributions.  This is very exciting for me.  I have always wanted a map of the Master Universe with measurements for as many space bodies and universe levels as possible.  And it IS coming together.

Let's recap briefly about how significant this slow reductive reasoning has been...

* Two years ago we came up with the number of worlds in each Havona circuit, with the Underwood Equation:

106 x (35n + (-1)n + 3)
When Circuit Number n = 1 to 7

Havona Circuit One 37,000,000
Havona Circuit Two 74,000,000
Havona Circuit Three 107,000,000
Havona Circuit Four 144,000,000
Havona Circuit Five 177,000,000
Havona Circuit Six 214,000,000
Havona Circuit Seven 247,000,000

* We have put the “thousand year to 1 PH day” into practical use by examining just how accurate the Urantia Book text is numerically, while helping to set limits to the size of the Paradise system:

Earth Speed < Havona World Speed </= Light Speed

The size of the Havona circuit 1 (C1) was estimated at earth speed, fine structure speed, and light speed.  My decision to choose light speed was arbitrary and is changeable.


* Choosing the speed of light for the inner Havona worlds yield a rough (but clarifying) view of the magnitude of the entire Central Universe.  The measurements for Paradise and the three circuits of the 21 Sacred Spheres is now listed (above).

All of this progress allows us to now estimate real numbers for the size of the Central Universe.  Even if the size ends up larger or smaller, my hope is that the basic geometry and equations presented in this essay will make it easier for future theorists to plug in their own estimates and to assist in the construction of their own theories.  And...  Someday... We WILL have figured out all of these things and more.



Thank you for reading this study and let us continue to pray for the insight that motivates the search for the Truth.


Alex Wall