pul9505.21b

Date: Sun, 21 May 1995 09:13:56 GMT

From: Jim Atwell

Subject: Harmonic 695 and Antigravity

Hello Peter

18 May 95 21:24, Peter Lowrie wrote to All:

PL> For those of you who want to know (and abusive non-descripts

PL> (take note DH)) about Capt Bruce Cathy who wrote a series of

PL> books about the existence of a worldwide natural grid which

PL> UFO's use to navigate the globe.

Some further reading on "Cathie"

================================================================

Alt.Alien.Visitors

From: Peter Yard

Jul-31-94 14:20:12

Subject: Cathie Grid Debunked 1/

The following is an analysis of the calculations and mathematics of

Bruce Cathie's Harmonic Grid ideas based primarily on chapter 4 of

"Anti-Gravity and the World Grid" edited by David Hatcher Childress,

Adventures Unlimited Press, 1987.

=================================================

Chapter 4 of Childress' book is "Mathematics of the World Grid" by

~~~~~~~~~~

Bruce Cathie.

The chapter starts (page 82) with a definition of some words and the

statement: "The fundamental harmonic of light, in free space, in

geometric terms being an angular velocity of 144,000 minutes of arc

per grid second, there being 97,200 grid seconds to one revolution of

the Earth."

And

"It was found that to calculate the values of harmonic wave-forms that

have sympathetic resonance it was possible to disregard zeroes to the

right, or left, of whole numbers and extract the values direct from

teh mathematical tables."

This means that

123 = 1.23 = 0.00000000123 = 123,000,000,000

page 83 then describes the UFO sightings that inspired Cathie on his

investigation and into his grid ideas.

page 84 we see the first calculations.

Cathie says the harmonic of the speed of light is 144. The harmonic of

a half cycle is therefore 144/2 = 72. Cathie constructs a 3,4,5

triangle with lengths 216, 288 and 360 arguing that

216 = 21600 = number of minutes of arc in a circle

360 = number of degrees in a circle

288 = (144x2) = 2 times speed of light.

This is the calculation that convinced Cathie about his harmonic

mathematics

However,

216 = 2x2x2x3x3x3 = 2x2x2x3x3 x 3

288 = 2x2x2x2x2x3x3 = 2x2x2x3x3 x 4

360 = 2x2x2x3x3x5 = 2x2x2x3x3 x 5

So by multiplying by 2x2x2x3x3 (72) he got these numbers. Keep the

above pattern in mind. This is the source of the strange harmonic

behaviour. These numbers have nothing to do with physics it is just a

mathematical quirk. 360 degrees in fact has its origin in the fact

that 360 can be evenly divided by so many numbers because it has the

above structure. The ancient Babylonians could have picked any other

number if they wished, if they (or we) picked 1000 instead the above

relationship would fail. And once you have 360 the 21600 is just that

multiplied by 60.

This by itself invalidates the grid system.

page 84. Cathie says that the spacing on the grid is 30 minutes of

arc which can be divided into 7.5 minute of arc lines.

Notice 30 = 2x3x5 and 7.5 = 3x5 / 2 . The recurring multipliers

2,3,5 again. He says 21,600 minutes of arc in a circle divided by 7.5

gives you 288 (the speed of light harmonic). But remember the 2,3,5 s.

This means that some funny relationship is inevitable it is bound to

be a multiple and is in fact 2880 drop the 10 and you have 288 and

drop the 2 to get 144. If it was 3 times we could drop the 3 as well

until we got what we wanted.

================================================================

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------------------------------

Date: Sun, 21 May 1995 09:14:22 GMT

From: Jim Atwell

Subject: Harmonic 695 and Antigravity

Continued from last...

================================================================

Cathie claims based on one suspicious object on the sea floor to base

his grid as centred on this location.

page 94 (after some pages of photos and diagrams).

The polar square is a set of 4 points around the north and south poles

that when transferred to a flat plane form a perfect square. Why this

should have _any_ significance to a spherical grid escapes me. The

diagonal of this square (of sides 3600 units) is 5091.168825 units

long.

I must comment that spherical geometry is vastly different to the flat

Euclidean geometry done on paper, Cathie's work is Euclidean but he

refers to spherical ... this is totally wrong. For instance this

diagonal may be 5091.168825 units (minutes of arc) long on a flat

piece of paper but it isn't going to be anything like that on a

sphere. And the accuracy is ridiculous anyway. This distance as an

angle on the surface of the Earth is about 84.85 degrees or about

9,445 km, but the precision required by Cathie is that the Earth be a

sphere so that this distance is equal to that of a sphere to the

nearest metre. Then remember that he is using the _wrong_ geometry

and that the Earth is not a sphere to anywhere near that accuracy.

Cathie says

5091.168824 / 2 = 2545.584412

2545.584412 / 7.5 = 3.39411255

3.39411255 ^ 2 = 11.52

11.52 / 8 = 1.44 (speed of light harmonic)

2545.584412 ^ 2 = 6480000 (the 648 harmonic)

But let us look closer. 3600 = 2x2x3x3x10x10 , multiply by square

root of 2 to get the diagonal (5091. etc) .

5091.168824 / 2 = 2545.584412

means 3600 * sqrt(2) / 2 = 1800 * sqrt(2)

2545.584412 / 7.5 = 3.39411255

means 1800 * sqrt(2) * 2 / 15 = 240 * sqrt(2)

240 = 2x2x2x3x10

3.39411255 ^ 2 = 11.52

means square ( 240 * sqrt(2) ) = 57600 * 2

= 2x2x2x3x2x2x2x3x10x10x2 = 115200

11.52 / 8 = 1.44 (speed of light harmonic)

means knock off 3 of the 2s in the number = 3x2x2x2x3x10x10x2

and also knock off the 10s = 2x2x2x2x3x3 = 144 and divide by

100 again.

2545.584412 ^ 2 = 6480000 (the 648 harmonic)

means square( 1800 * sqrt(2) ) = 3240000 * 2 = 6480000

To summarise we can say : so what ? These are trivial little number

games that signify nothing. There is only an illusion of results as

the strange "harmonics" are built into the similarity of all the

numbers Cathie picked in the beginning.

page 96.

1703 is the harmonic of 170,300,000,000 which is the expression in

"cubic minutes of arc" of the mass, or volume of the planet Earth and

its surrounding atmosphere. "mass or volume" these two are nowhere

near the same. The density of planets varies dramatically and yet

Cathie would have us believe that the size of the planet alone (via

the size of the grid) determines the mass ... this does not happen.

What is more how is mass equated to angle. Angle is a relative

measure. You cannot have cubic angles in any meaningful way.

================================================================

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------------------------------

Date: Sun, 21 May 1995 09:15:02 GMT

From: Jim Atwell

Subject: Harmonic 695 and Antigravity

Continued from last...

================================================================

page 97. Now we enter a serious credibility warp starting at this

page.

Cathie gives us his version of relativity.

M (mass) = C + 1 / sqrt(C)

According to this a pea weighs the same as a mountain.

"Einstein declared that physical matter was nothing more than a

concentrated field of force" No he did not.

"Einstein believed that M, the value for mass in the equation, could

eventually be removed and a value substituted that would express the

physical in the form of pure energy." Wrong !

page 98

"and THAT EVERYTHING, NO MATTER WHAT ITS FORM ON THIS PLANET, EXISTS

BY REASON OF MAGNETIC LINES OF FORCE."

Cathie believes this is the secret to UFO propulsion not anti-gravity

etc. There is no evidence in Cathie's discussion or in any physical

text to justify this unless one wants to be pedantic and say that

without mag fields there is no electric fields and then we all die and

the universe snuffs it. This is not what Cathie is saying however.

His description of magnetic fields is totally wrong and shows no

understanding of theory or actual experiments even to the level of

junior high school.

page 99

Here we have many results plucked out of thin air without supporting

arguments. Now we are told the basic unit of calculation is the

geodetic inch which is 1 / 72,000 of a minute of arc. One wonders if

this is at the equator or the pole since the size of a minute of arc

is different at both places.

pages 100 - 107.

The argument drifts into applications to atomic structure,

personality, chemistry. My only comment is that it pays zero

attention to the reality of these topics.

Chapter 8. Acoustic Levitation of Stones by Bruce Cathie.

~~~~~~~~~

This chapter illustrates the confused nature of his applications.

There was a report in a German mag about a witnessed instance of the

levitation of a rock in Tibet.

The details of the ritual and the sizes of the musical instruments and

the positions of everything were given in detail. Which is curious,

how did he measure the length of the instruments to the nearest

centimetre and the exact height of the cliff and distances both linear

and angular, especially when the distance to the cliff is exactly 250

metres ... God uses metric?.

Cathie then applies his grid mathematics. The distance between the

rock and the drums is 63 metres , and between the rock and the end of

the drums 63.75 m. The exact distance Cathie calculates should be

63.7079 m and this converts to 206.2648062 geodetic feet. Which is

harmonically equal to the length of the Earth's radius (which radius

polar or equatorial!) in seconds of arc (complete gobbledygook).

Doubled and squared the number becomes 170180.68 (1703 not good

enough!) which is the theoretical harmonic of mass at the Earth's

surface. Because there were monks behind the drums chanting in a

quarter circle this adds 8.08865 geodetic feet to the radius of the

group. Total radius of 214.3534583 geodetic feet. The circumference

of the circle is therefore 1346.822499 geodetic feet. Which is a half

harmonic of 2693.645 (unified field). The theoretical radius was found

to be 249.8767262 m which converts to 809.016999 geodetic feet.

And so it goes. By this stage the circular nature of the mathematics

has been totally confused and it is no longer possible to see what is

happening. So we should not be surprised to find Cathie concluding

that a bunch of guys banging a drum can lift a 2 cubic metre rock 250

metres into the air.

Do you like me wonder if after all this effort he didn't get some

friends together and actually try it ? I don't think so or otherwise

we would all know about it.

This is psuedo-science at its silliest. The proof of the pudding is in

the eating, I can prove their maths is hopeless but if they can

levitate something in front of me in controlled conditions then I'll

accept they have something. But its always hush hush, about to be

suppressed, a few technical difficulties. A lot of hot air and

detailed description about levitation and how do it but _no_

experiment.

Conclusion:

~~~~~~~~~~~

Cathie's mathematics is false. This is not a theory like a scientific

theory, this is a PROVABLE claim, and I have easily proven it by

showing that it is inconsistent. That by itself ends any credibility

for Cathie. But Cathie makes other claims that are also shown to be

false. Grid Harmonics has no validity at all, and from it you can

prove anything to be true whether the thing is true or false. And

that I am afraid is almost a definition for delusion.

Peter Yard

================================================================

bye for now,

Jim

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