...nature's thing for geometry has gotten so out of hand, some scientists would say, that she
  has kissed fields such as physics goodbye for good.

Forget forces, particles, fields, gravity, matter, motion -- even space and time.
Physics has become a chapter in a geometry book.
"It almost appears that the physics has been absorbed into the geometry,"
 wrote: Sir Arthur Eddington.

 Los Angeles Times  
November 4, 1999  

Eddington: An English scientist involved in the fields of mathematics, relativity, cosmology, and astronomy. While professor of astronomy at Cambridge, he worked on the structure of stars. He also made significant and pioneering contributions to the general theory of relativity, 

       Limitless Series,
              BHE CONSOLIDATED TABLE: Integers -8 through +4
                      Brunardot Iteration: Six

BRUNARDOT  HARMONIC  ELLIPSES

with radius "r" and vector "v" as squares of integers; and, diagonal "d," Brunardot Iteration "i," and perigee "p" as Natural Prime numbers; also, force "F," energy "E," and the Harmonic Ratio "HR" are integers; soliton "s" is an even integer and Light "L" is an integer divisible by 4; and also, included is a simple series and a right triangle; all components are generated by . . . any, single integer.
(Except "0" and +1, which generate the quaquaversal axes of Reality.)

h=f(A), i=f(A), T=f(h,i); therefore, T = f(A)

A

 =

 6th Iteration
-8


-7


-6


-5


-4


-3


-2


-1


+2


+3


+4

Alpha (lnteger)

h

 =

144

112

84

60

40

24

12

4

4

12

24

Harmonic f(A)

i6

 =

305

239

181

131

89

55

29

11

5

19

41

Brunardot Iteration
 f(A)

inc.

=

178

142

110

82

58

38

22

10

-2

2

10

Increment f(i)

T

 =

323

255

195

143

99

63

35

15

3

15

35

Tau: f(h,i); f(A)

p

 =

46513

28561

16381

8581

3961

1513

421

61

13

181

841

Fibonacci

s

 =

2163412656

815702160

268320780

73624980

15685560

2287656

17680

3660

156

32580

706440

Sequence

r

 =

93025

57121

32761

17161

7921

3025

841

121

25

361

1681

Generating

d

 =

4326825313

1631404321

536641561

147249961

31371121

4575313

363641

7321

313

65161

1412881

Right

L

 =

4326825312

1631404320

536641560

147249960

31371120

4575312

363640

7320

312

65160

1412880

Triangle

HR

=

30047398

14566110

6388590

2454166

784278

190638

29470

1830

78

5430

58870

Harmonic Ratio

F

=

14186465

6826079

2964961

1124111

352529

83215

12209

671

65

3439

34481

Force

A

=

Alpha (motion = y-axis)

l

=

Light

a = apogee M = Mean (s2 / v)
c = chord, major o = opposing wave crest
d = diagonal p = perigee
E = Energy, Internal r = radius
f = Force s = soliton
H = Harmonic T = Tau (time, etc. = x-axis)

HR

 = Harmonic Ratio

CU

 = Conceptual Unit
i = Brunardot Iteration v = vector
I = Infinity line (x-axis) w = wave crest
inc. = increment between "i"s x = foci
K = Unimetric Factor


The following is true for:

         Every integer value of
                        Alpha (A) except zero and +1

d

 = A Natural Prime number (Nature's Scale)

r

 = A Perfect square

L

 = An Integer divisible by four

d,r,L
=
A Right Triangle that Generates BHE's


a, c2, d, f, i, L, p, and s and  are integers.
E, r, v, and U are perfect squares.
d, i, and p are Natural Prime numbers.
p, s, v and a are consecutive terms of a series.
p, s, and Tau are functions of Alpha.


An Infinity line "I" and a motion line "m" are at
right angles to one another and are both infinite in length and infinitesimal in width.

Corollary formulas derived from
               the Brunardot Theorem:  c2 = 2v2 - s2

          Primary Corollaries:

U = d - L = 1

 The Natural Unit, U, establishes the relative unit value for all other integers.

U = A Proof of One.

 One is a Relativistic Function of Alpha and Tau.  (Speed, Spin, Space, and Time)


h = 2(A2 - A)


i1 = 2A - 1


i1 = square root of (2h + 1)

i2 = 2A2 - 4A + 1;

i2 = h - (2A - 1)

i3 = 2(A2-A) - 1;

i3 = h - 1

i4 = 2(A2-A) + 1;

i4 = h + 1

i5 = 2A2 - 1;

i5 = h + (2A - 1);

 i5   = i1  + h . . .

i6 = 4A2 - 6A + 1;

i6 = 2(h - A) + 1;

 i6   = i2 + h . . .

i7 = 4A2 - 4A - 1;

i7 = 2h - 1;

 i7   = i3 + h . . .

i8 = 4A2 - 4A + 1;

i8 = 2h + 1;

 i8   = i4 + h . . .

i12 = i8 + h . . .

in   = in-4 + h . . .


Tau (T) = (((i2 + 1) / 2) - 1) / h;
Tau (T) = ((p - 1) / h

d = (i4 + 1) / 2

Switch Order

L = d - 1

r = i2

p = (i2 + 1) / 2

s = p2 - p

v = p + s

a = s + v

HR= L / h

e = v2 - s2

c2  = e + v2

c2  = 2e + s2

F = square root of e


And, thus, some Secondary Corollaries:

a = 2p2 - p

a = 2s + p
c2  = F2 + v2
d = L + 1
d = L + 2p - r
d  = r2 - L
e = c2 - v2
e = ( c2 - s2)/2
e = F2
F = square root of c2 - v2
F = square root of v2 - s2
r = 2v - d
r = 2p - 1
r2 = d + L
s = p(p - 1)
s2 = v2 - e
U = 2p - r
v = p2
v2 = s2 + e
v2 = (c2 + s2)/2









E-mail :  Brunardot@Brunardot.com







There is one Universe.

It is perpetual, in equilibrium;

and, a manifestation of the
 Unified Concept; thus;

. . . the Fundamental Postulate.


also,

are a single discipline, Philogic,
which proclaims perpetuity

and the nexus of Life; such is


. . . Conceptualism.

 

This symbol indicates:
not complete, or more information needed . . .
please E-mail
your information, corrections, documents, photos,
inquiries, or any other needs to:
Brunardot@Brunardot.com
Return to Top of Page

 
  Brunardot.com website

Dedicated to Giordano Bruno, Leonardo da Vinci.
Leonardo da Pisa, Arturo Meniot, & Denis Diderot

 Terms of:  © Copyright 1999-2017 by Brunardot



CONCEPTUAL Applications
Family of Informational Websites
 Emphasizing Philogic, a discipline that overarches
Science, Theology, and Philosophy (STP)

Website Design by:   CONCEPTUAL  Applications
a division of: WebComm21

 

 

 

 

 

000101 0:01 am