...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,               TABLE BHE: Integer = -8
 BRUNARDOT  HARMONIC  ELLIPSES with radius "r" and vector "v" as squares of integers; and, diagonal "d," perigee "p," and Brunardot Iteration "i," above the first iteration, 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, so described, are generated by . . . any, single integer . . . with limitless iterations. (Except for "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 = 1st Iteration 1st Cycle -8 2nd Iteration 1st Cycle -8 3rd Iteration 1st Cycle -8 4th Iteration 1st Cycle -8 1st Iteration 2nd Cycle -8 2nd Iteration 2nd Cycle -8 3rd Iteration 2nd Cycle -8 4th Iteration 2nd Cycle -8 Alpha (Any lnteger) h = 144 144 144 144 144 144 144 144 Harmonic f(A) i = -17 161 143 145 **  127 305 287 289 Brunardot Iteration  f(A) inc. = -18 178 -18 2 -18 178 -18 2 Increment f(i) T = 1 90 71 73 56 323 286 290 Tau: f(h,i); f(A) p = 145 12961 10225 10513 8065 46513 41185 41761 s = 20880 167974560 104540400 110512656 65036160 2163412656 1696163040 1743939360 Fibonacci v = 21025 167987521 104550625 110523169 65044225 2163459169 1696204225 1743981121 Sequence a = 41905 335962081 209091025 221035825 130080385 4326871825 3392367265 3487920481 r = 289 25921 20449 21025 16129 93025 82369 83521 Generating d = 41761 335949121 209080801 221025313 130072321 4326825313 3392326081 3487878721 Right L = 41760 335949120 209080800 221025312 130072320 4326825312 3392326080 3487878720 Triangle U = 1 1 1 1 1 1 1 1 Natural Unit HR = 290 2332980 1451950 1534898 903280 30047398 23557820 24221380 Harmonic Ratio v2 = 442050625 28219807211725441 10930833187890625 12215370885802561 4230751205850625 4680555575930170561 2877108772907850625 3041470150404416641 Vector Energy s2 = 435974400 8215452807193600 10928695232160000 12213047136174336 4229702107545600 4680354320140974336 2876969058262041600 3041324491357209600 Soliton Energy E = 6076225 4354404531841 2137955730625 2323749628225 1049098305025 201255789196225 139714645809025 145659047207041 Internal Energy F = 2465 2086721 1462175 1524385 1024255 14186465 11820095 12068929 Force c2 = 448126850 28224161616257282 10932971143621250 12217694635430786 4231800304155650 4680756831719366786 2877248487553659650 3041615809451623682 Chord Energy Minor Harmonics for -8: None **Note: Fifth Increment    Red Numerals are    the same for BHE +8
 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. The Integer One is a Relativistic Function of Alpha (Motion) and Tau.  (Speed, Spin, Space, and Time)
 h = 2(A2 - A); or, A2 - A
 i1 = 2A - 1 i1 = square root of (2h + 1) i2 = 2A2 - 4A + 1; i2 = h - (2A - 1) = h - i1 i3 = 2(A2-A) - 1; i3 = h - 1 i4 = 2(A2-A) + 1; i4 = h + 1 i5 = 2A2 - 1; i5 = h + i1; i5   = i1 + h . . . i6 = 4A2 - 6A + 1; i6 = 2h - i1; i6   = i2 + h . . . i7 = 4A2 - 4A - 1; i7 = 2h - 1; i7   = i3 + h . . . i8 = 4A2 - 4A + 1; i8 = 2h + 1; i8   = i4 + h . . . i8 = (2A - 1)2 = i2 i12 = i8 + h . . . in   = in-4 + h . . .
 Tau (T) = ((i2 - 1) / 2) / 2A(A - 1)
 Tau (T) = (((i2 + 1) / 2) - 1) / h
 Tau (T) = L / 2hp
 Tau (T) = (p - 1) / h
 p = (i2 + 1) / 2
 s = p2 - p
 v = p + s
 a = s + v
 M = s2 / v
 r = i2; or, v - M
 d = (i4 + 1) / 2; or 2M + r
 L = d - 1
 HR= L / h
 E = v2 - s2
 F = square root of E
 c2  = E + v2
 And, thus, some Secondary Corollaries:
 a = 2p2 - p
 a = 2s + p
 c2  = 2E + s2
 c2  = F2 + v2
 d = L + 1
 d = L + 2p - r
 d  = r2 - L
 d = 2v - r
 d = i4 - L
 E = rv
 E = c2 - v2
 E = ( c2 - s2) / 2
 E = F2
 F = square root of c2 - v2
 F = square root of v2 - s2
 F = square root of rv
 F = ip
 HR = T(r + 1)
 HR = 2pT
 L = i4 - d
 L = (i4 - 1) / 2
 L = 2hpT
 p = 2AT (A - 1) + 1 = hT  + 1
 p = (i2 + 1) / 2
 p = L / 2hT
 r = 2v - d
 r = 2p - 1
 r2 = d + L
 s = (i4 - 1) / 4
 s = p(p - 1)
 s2 = v2 - E
 U = 2p - r
 U = i4 - 2L
 U = i4 - 4hpT
 U = p - 2AT (A - 1)
 U = HR /T - r
 U = p - hT
 v = p2
 v = E / r
 v2 = E + s2
 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.