REPORT ON A DREAM & RELATED

MATTERS & THE GOD PARTICLE

In June 1995, the writer noticed that the inverse 256th root of 1E33 is
approximately the product of the fine structure constant and the edge of the 'absolute
dead center cube', 10368^{.5}.^{1 }He also noted that if 1E33 is first multiplied by the square root of 1.1 (the
ratio of the body-diagonal to the face-diagonal of the triple-cube^{2}) before
taking this root, the result is then 0.007297 353 93, which is the physics value of
the fine structure constant, 0.007297 352 533, exact to the 8th place.

About a week after this observation the writer had a dream. In his dream he was in a large hotel looking for a room. The room number on his key was 2808. He was having a great deal of difficulty finding this room. He asked some vaguely defined hotel person for help. He was told he was on the wrong floor and that he needed to go down 2 floors. But when he went down the 2 floors he still couldn't find room 2808. He discovered that he was now on the 27th floor. He failed initially because he had been on the 29th floor. Because of the peculiar elevator arrangements in the hotel in the dream he had to go down to the lobby and start all over in his attempt to get to the 28th floor. At this point he woke up.

Since the writer had never considered the number 2808 in his waking state, he puzzled over its significance after his dream. What he eventually discovered is this: first of all, the ratio of the 2 of the 3 floors in his dream on which he actually found himself to have been, the ratio of these two to each other, 29/27, raised to the power 2/3, and multiplied by 1E33, when raised to the inverse 256th root and divided by the length of the edge of the 'absolute dead center cube', is the fine structure constant exact to the 8th place:

[(29/27)^{2/3} × 1E33]^{-1/256}/10368^{.5} = 0.007297 354 38. . ..

It turns out that 2808 is approximately the square root of the division in extreme and mean ratio, φ, raised to the 33rd power,

2808
(φ^{33})^{.5},

or, 2808 is approximately 36/100 the inverse square of the fine
structure constant divided by the inverse alternating *L* series sum,^{3}

2808
.36(.007297 352
533/.6444762592780)^{-2}.

**What was known before the dream.
**

It was known that if the Fibonacci sequence was anchored in the trinary
logic, thereby renumbering the traditional sequence so that **F*_{1} is 1 and **F*_{2} is 2,
etc., then, when the first hundred numbers in the newly numbered sequence are arranged in
a 10 × 10 grid,^{4} the final 3 × 3 subsquare in the grid (lower right corner) has the following
properties: it corresponds, in its arrangement *qua* logical, to the pattern of
digits in the 'cornerstone' arrangement of
the logic (bottom row, 0 1, middle row,
1 0, top row, 1 0
) and the numerical products of the end values of each diagonal
row and middle vertical and horizontal row (the products of **F*_{78} × **F*_{100,} **F*_{79} × **F*_{99,} **F*_{80} × **F*_{98,} and **F*_{90} × **F*_{88)} in this
subsquare are each approximately 8.2944E36. It was also known that the products of the
place numbers themselves of the opposite ends of these rows were, respectively, 7800,
7821, 7840, and 7920, with an average of 7845.25, and 7800 having logical priority as the
product of the diagonal each of whose three places is inhabited by a logical 1. It was
also known before the dream that

7800
(0.007297 352
533/.6444762592780)^{-2}

and that

.6444762592780/[(**F*_{{78,
79, 80, or 90}} × **F*_{{100,
99, 98, or 88}})/1E36]^{.5 }
0.007297 352 533.

**What the dream added.
**

Prior to the dream it was also noticed that (1.1^{.5
}× 1E33)^{-1/256}/10368^{.5}
0.007297 352 533. Both the 1.1 and the 10368 are functions of the triple
'absolute dead center cube', the latter a specific function of just that cubic arrangement. But
there was no explanation for the fact that the multiple of 1.1^{.5} is 1E33. The dream, in effect, substituted (29/27)^{2/3} for 1.1^{.5}. It did so by
focusing on the search for room number 2808 (
[φ^{33}]^{.5}
[φ^{11}]^{1.5}
[φ^{5.5}]^{3}). It is this focus of the dream which leads to
an appreciation of the significance of 1E33. The room number on the key in the dream,
2808, is exactly 36 × 7800/100 or 36/100 × 7800. .36 times the product of the opposed
place numbers on the left-handed diagonal in the final subsquare of the unum-founded
Fibonacci sequence. The dream calls attention to the deep relationship between the
logically renumbered place numbers and the numerical relationships existing between the
contents of the places so renumbered, and to the relation of the 10 × 10 grid to the
fundamental parameters of physics in a beautifully general way. The dream says there is no
need to strip the final square constant 8.2944E36 of 1E36, as is done above, in order to
demonstrate that the fine structure constant is one of its functions. The equivalent of
(1.1^{.5} × 1E33)^{-1/256}/10368^{.5}
0.007297 352 533 or [(29/27)^{2/3} × 1E33]^{-1/256}/10368^{.5}
0.007297 352 533, it
turns out, is, where 2808/.36 = 7800,

(7800/8.2944E36)^{1/256}/10368^{.5}
0.007297 352 533.

The results are, first, that the 1E33 is accounted for. (1.1^{.5} × 1E33)^{-1/256} = 9.534625894E-34^{1/256}
and [(29/27)^{2/3} × 1E33]^{-1/256} = 9.53477636E-34^{1/256
}are of the specified order of magnitude because the relevant
operation of the fundamental logically grounded mathematics is. That is, (7800/8.2944E36)^{1/256} = 9.403935189E-34^{1/256}. Second, the fine structure constant is defined *entirely* in terms of the
logical and numerical parameters of the trinary logic, and it is they which account for
what otherwise would be unaccounted for, the role of 1E33. Third, it is clear that the
logical structure, independently of any element outside of its domain, defines the order
of magnitude of the Planck constant of action, 6.62606876E-34, where 7800/8.2944E36 =
9.403935189E-34, and

9.403935189E-34 - 6.62606876E-34
3.6E33^{-1}.

Now, consider that the first 100 numbers in the unum-founded Fibonacci
sequence arranged in the 10 × 10 grid may be replaced by the first 100 numbers of the
traditionally numbered sequence. The additional 1 of the traditional sequence will move
each subsequent number one place forward in the grid, with the obvious result that the
final 3 × 3 subsquare will now consist of different numbers and have a different common
product of the end values of each diagonal row and middle vertical and horizontal row, in
the event, approximately 3.168E36. Since this subsquare already exists in the unum-founded
arrangement, with the last two of its columns coinciding with the first two columns of the
final subsquare of the unum-founded set, and with 3.168E36 the approximate common product
of **F*_{77} × **F*_{99}, **F*_{78} × **F*_{98}, **F*_{79} × **F*_{97}, and **F*_{89} × **F*_{87}, let this subsquare be compared, as it stands
in the unum-founded arrangement, to the final subsquare previously analyzed. The products
of the place numbers themselves of the opposite ends of the specified rows in this square
are, respectively, 7623, 7644, 7663, and 7743, with an average of 7668.25, with 7623
having logical priority as the product of the diagonal each of whose three places contains
the identical logical digit (in this case an
).^{5}

This comparison yields a further equivalent to (1.1^{.5} × 1E33)^{-1/256}/10368^{.5}
0.007297 352 533, and
to [(29/27)^{2/3} × 1E33]^{-1/256}/10368^{.5}
0.007297 352 533, and to (7800/8.2944E36)^{1/256}/10368^{.5}
0.007297 352 533.^{6} The
square of the ratio of the products of opposite place numbers on the left-handed diagonal
in the alternative final squares is the equivalent of the hotel-floor factor previously
discovered in the production of the fine structure constant. Where 7800/7623 is the ratio,
approximating 1.1^{.25},

[(7800/7623)^{2} × 1E33]^{-1/256}/10368^{.5}
0.007297 352 533.

Also, the sum of the independently derived inverse alternating *L*
series, .6444762592780, is approximately the square root of the division, by the key order
of magnitude, 1E33, of the ratio of the numerical and place-number constants in the
alternative final subsquare:

[(3.168E36/7623)/1E33]^{.5}
.6444762592780.

Recalling that the length of the edge of a cube whose surface area is
the sum of the only three numbers in the infinite series of natural numbers whose integral
products are the very numbers, 1 + 784 + 82944 = 83729,
(101.8233765/α)^{1/2}, the square root of the edge of the 'absolute dead center' cube divided by the
electromagnetic coupling constant, and that the ratio of the surface of the 'absolute
dead center cube', 62208, to the surface of this 83729-cube 101.8233765 ×
α, and that (where 1.1^{.5} is the body-diagonal to face-diagonal ratio of the triple-cube) (1.1^{.5} × 1E33)^{-1/256}/101.8233765
α, what is now to be
noticed is that (where *h* is the Planck constant) the area of the face of the
83729-cube (1.1^{.5} × *h*)^{-.125}.^{7}

As of April 2002, with approximately 14 billion calculations performed,
the writer's computer program calculating the alternating inverse *L* series sum
(where the logic dictates a value of .5 for both 0 and
, the *L* series = the arithmetic transcription of the
sequential summing of the infinite repetition of 1, 0,
, 1, 0,
, 1, 0,
, . . ., 1, 1.5, 2, 3, 3.5, 4, 5, 5.5, . . .)
projects the sum of the series to be .6444762592780 . . .. The ninth place after the
decimal of the raw number was settled upon after approximately 2.7 billion
calculations. The program is now calculating the tenth place of the raw
number. The 0 in the thirteenth place of the projected number has not varied since
April 2000 (when the program had completed approximately 6.5 billion calculations).

Let this 0 in the sum of the series represent a break in the string of digits, so that the set of the first 12 digits might be considered in itself. To make matters easy, move the decimal to replace the zero in the string of numbers. Then investigate the properties of the number 644476259278. Its linear product, 6×4×4×4×7×6×2×5×9×2×7×8 = 162570240, is exactly the quotient of 82944 divided by 1/1960.

But what is 1/1960? The
.125
root or
power may be understood to
be especially fundamental because it is the base power of the denominators of the
infinitely alternating sequence of the infinite series of natural numbers and the infinite
series of odd numbers which produces the infinite lattice composed of the natural numbers,
the differences of their squares, the differences of the squares of those differences, the
differences of the squares of those differences, etc., etc., etc. (The exponents of .125
in the odd-numbered rows of the lattice are 0, 1, 1 + *x*, 1 + *x + x*^{2}, 1 + *x + x*^{2} + *x*^{3}, . . ., and,
in the even-numbered rows, their respective doubles, where *x* = 4.)^{8} Notice above that the face area of the 83729-cube
(1.1^{.5} × *h*)^{-.125}.

In 1985 the writer had taken the first four sets of numbers in the first
two tiers of this infinite lattice created by the aforesaid squaring of the differences,
reduced each set to a single number by a common operation, and, as is fundamentally
consistent with the thinking now occurring, took the resulting four numbers to be elements
in a proportion. He then calculated the rational product of this proportion, the product
of the ratios which compose it. The result was 1/1.96.^{9} Thus,
the factors of the linear product of 644476259278 are two most fundamental numbers.

The rational product and the integral product of 644476259278, are,
respectively, 6/4×4/4×7/6×2/5×9/2×7/8 = 2.75625, and, (6×4×7×2×9×7)^{2} = 448084224. The rational product, 2.75625,
(1/1.96e7 × φ^{37}). That is interesting, of course because of
the role of the extreme and mean ratio, but especially because 37 is the total number of
prenumeral blue, green, and yellow diagonals in the logically outfitted triple-cube. In fact
φ^{37}/1E8
α^{.125} (the .125 power of the fine structure constant) or the ratio of the 20 green and yellow diagonals to the
total of 37.^{10}

The integral product of 644476259278 is the approximate product of
8.2944 and φ^{37}, *plus* 33000. What could this 33000 be? It turns out that 33000
the fourth root of the cube of (φ^{37} × 1.96E-2), so that the integral product of
the first 12 digits before the zero in the alternating inverse *L* series, 448084224,

(8.2944 ×
φ^{37}) + (φ^{37} × 1.96E-2)^{3/4},

precisely, 448084227.051706.

Now,

448084227.051706/448084224 = 1 + (1/146830715.261863),

where

146830715.261863^{.125}
10 × 1.1^{.5},

the .125 power of 146830715.261863, ten times the triple-cube
body-diagonal to face-diagonal ratio. If the decimal is not moved in .644476259278, then
the integral product is 4.48084224E-64, which is interesting because, in the form of the
equations above, 146830715.261863^{-1/64} divided by the edge of the 'absolute
dead center cube'
the fine
structure constant:

146830715.261863^{-1/64}/101.8233765
α.

**2808, 82944, and the 'God Particle'.**

the better to supplement the meager, but potentially crucial, evidence for the Higgs boson, the particle widely thought to be responsible for endowing other known particles with mass. Theorists have said that in some collisions a Higgs boson (h) might be produced back to back with a Z boson, one of the carriers of the weak force and itself the object of a dramatic particle hunt at CERN 20 years ago. In these rare events, both h and Z are expected to decay quickly into two sprays, or jets, of particles. One tactic then is to search 4-jet events for signs that the combined mass of two jets at a special energy seems to stand out above pedestrian "background" events in which no true exotic particle had been produced. What has caught LEP physicists' attention is just such an enhancement, at a mass around 114 GeV/c ^{2}. |

114 GeV/c^{2}
2808^{-2 }×
10 eV m^{-1} s [(82944 -
[δ/π]^{8}) × 10^{-5}]^{83}
kg.^{11}

As of November 3, 2000, CERN produced the following tentative results:
with a current bound on the Higgs boson mass of *m _{H}* > 113.5 GeV/c

*m _{H}* = 115.0 (+1.3, -0.9) GeV/c

With respect to the current value, note that

*m _{H}* = 115 GeV/c

With respect to the expected value, note that

*m _{H}* = 115.3 GeV/c

Using the reported results, the possible range of the Higgs boson mass in
electron volts is approximately between *m _{H}*
(2808 - 2

Finally, where the masses of the weak force carrier bosons, *Z* and
*W*, are, respectively, *m _{Z}* = 91.1882 GeV/c

*m _{H}*
~ π(

and, at the high end of the range of the possible Higgs boson mass,

*m _{H}* +

Director-General Luciano Maiani announced today that the LEP accelerator had been switched off for the last time. LEP was scheduled to close at the end of September 2000 but tantalizing signs of possible new physics led to LEP's run being extended until 2 November. At the end of this extra period, the four LEP experiments had produced a number of collisions compatible with the production of Higgs particles with a mass of around 115 GeV. These events were also compatible with other known processes. CERN Council will be asked at its next December session to confirm the start of the dismantling of the LEP accelerator. Precision measurements made by the four LEP experiments have confirmed the Standard Model to an extraordinary degree of precision. They have also demonstrated conclusively that three and only three families of matter particles exist. |

**Addenda
**

On September 4, 2000, Mr. J. Iuliano communicated to the writer his observation that 82944/2808 = 29.53846154, which approximates the number of days in the mean lunar synodic month, 29.5306.

On September 20, 2000, Mr. Iuliano forwarded a formula employing "the
π
dimensional constant 23" (where π^{5}/(π + 23)
α^{-.5}) and linking the fine structure
constant with 2808 in the production of 82944, as follows: (2808 + α^{-.5}/100)^{1/π} × 23
82944^{.5}. The writer's transcription of this
formula, in terms of the analysis above, including note 6, below, (where
is the rational product of
Yahweh's triple designation in Exodus 3:6), is as follows: (2808 + α^{-.5}/100)^{1/π} × ([δ/π]^{8}
- φ/2)
82944^{.5} +
^{-2}/100.
This equation squared is approximately: [(2808 + α^{-.5}/100)^{1/π} × ([δ/π]^{8}
- φ/2)]^{2}
82944 + .82944^{8}.

**4 July 2012 Higgs Boson**

See, on this web, The Higgs Boson & the Absolute Dead Center Cube: Predictions Within the Probable Range

Notes

^{1} For the 'absolute
dead center cube', see, on this web,
**Logically Outfitted Cube(s)**, and
D.G. Leahy, *Foundation: Matter the Body Itself *(Albany, 1996), Section III.5, et
passim. For the significance of 256 (=16^{2}), see, on this web,
**Real Trinary Logic Geometric
Series Infinite Iterative Sequential Summing**. 1E33 is the inverse
order of magnitude of the Planck length (*l _{P}* = 1.6160 ×
10