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8/17/2019 The Cube of Light
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The Cube of Light
Rodney G. Heydon
Killara Australia 2071.
May 2016
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XbW ]%
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G+,&8$6
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Figure 1. Extraction of a 1/8
th
cube from acube of arbitrary volume. See text.
D
A
B
C
.
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;H
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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O`
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
.
.
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O;
1 m
299792458 m
Figure 4. Onlookers examining the cube of light
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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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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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OC
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