The Cube of Light

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The Cube of Light

Rodney G. Heydon

Killara Australia 2071.

May 2016

[email protected]


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Figure 1. Extraction of a 1/8

th

cube from acube of arbitrary volume. See text.

D

A

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Figure 2. ABCD is an end on view of the 1/8th cube.

Extraction of a 3/13th

cube FGHD from the 1/8th

cube to formthe fraction 3/104 of the full cube follows. The very small cornercube at D represents the smallest cube in the subdivision ofABCD, see figure 3 for further explanation.

A

C

B

D

A B

CD H

GF

.


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Figure 3. Formation of the fraction 3/104 by the extraction of 3/13th cube

from 1/8th

cube. Top: Full cube. Middle: 1/8th

cube, DABC. Bottom: 3/13th

cube, EFGH. The very small corner cube at E represents the smallest

subdivision of the 1/8

th

cube.

E

A

B

C

D

H

F

G

.

.


25/28

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1 m

299792458 m

Figure 4. Onlookers examining the cube of light


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OO

Figure 5. (a) ABCD is the 1/8th cube of light end-on and marked up with 22

subdivisions. Prism AJKD is 7/22 of the 1/8th cube of light. (b) When melted down and

cast the prism, to a good approximation, becomes the cube with face FGHE. (c) Shows

mark-up ready for extraction of the fourth convergent of the 1/ ! th

cube of light.

The very small corner cube at E represents the smallest subdivision of the 1/8th

cube.

149, 896, 229 m

SCALE

A B

CD(a)

(b)

(c)

HE

F G

J

K

E


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O?

Figure 6. Final convergent. One more convergentsees edge of smallest cube fall far below the planck

length. This next convergent is therefore forbidden.

103993/33102

333/106

355/113

!"# $ & !'planck length

.

.


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Figure 7. Whole number line 0 to infinity depicting the numerator portion

between the 70th

and 71st

convergents. The bell shaped curve

represents the normal distribution of the reciprocal of the planck length

between its stated uncertainty limits. The mid point is shown boxed, the

calculation of which gives the planck wave number as 6.187353(16)x1034

m-1

. It lies [(6.18-3.84)/(21.2-3.84)]x100 or 13.5% of the way between the

numerators of the 70th

and 71st

convergents.

0 1 2 3

70th

Convergent

!"#!$%'(#'#&%&)*$

71st

Convergent*"(&+%#!&$$!!%+%)*&!"

*"(&+%#!&$$!!%+%)*&

*"(&+%#!&$$!!%+%)*&!#

!"#!$%'(#'#&%&)*$$"

!"#!$%'(#'#&%&)*$$#

0.00000000000000000000000000000000001616296

1

0.00000000000000000000000000000000001616102

1

.

0.00000000000000000000000000000000001616199

1

The Cube of Light

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Transcript of The Cube of Light