DEFINITION
Fibonacci sequence
Part of the Mathematics glossary:
The Fibonacci sequence is a set of numbers that starts with a one or a zero, followed
by a one, and proceeds based on the rule that each number (called a Fibonacci
number) is equal to the sum of the preceding two numbers. If the Fibonacci
sequence is denoted F ( n ), where n is the first term in the sequence, the following
equation obtains for n = 0, where the first two terms are defined as 0 and 1 by
convention:
F (0) = 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ...
In some texts, it is customary to use n = 1. In that case the first two terms are
defined as 1 and 1 by default, and therefore:
F (1) = 1, 1, 2, 3, 5, 8, 13, 21, 34 ...
The Fibonacci sequence is named for Leonardo Pisano (also known as Leonardo
Pisano or Fibonacci ), an Italian mathematician who lived from 1170 - 1250.
Fibonacci used the arithmetic series to illustrate a problem based on a pair of
breeding rabbits:
"How many pairs of rabbits will be produced in a year, beginning with a single pair, if
in every month each pair bears a new pair which becomes productive from the
second month on?" The result can be expressed numerically as: 1, 1, 2, 3, 5, 8, 13,
21, 34 ...
Fibonacci numbers are of interest to biologists and physicists because they are
frequently observed in various natural objects and phenomena. The branching
patterns in trees and leaves, for example, and the distribution of seeds in a raspberry
are based on Fibonacci numbers.
A Sanskrit grammarian, Pingala, is credited with the first mention of the sequence of
numbers, sometime between the fifth century B.C. and the second or third century
A.D. Since Fibonacci introduced the series to Western civilization, it has had a high
profile from time to time. Recently, in The Da Vinci Code , for example, the Fibonacci
sequence is part of an important clue. Another application, the Fibonacci poem , is a
verse in which the progression of syllable numbers per line follows Fibonacci's
pattern.This was last updated in July 2007Posted by: Margaret Rouse
Related Terms
DEFINITIONS

Leonardo Fibonacci (Pisano)
- Leonardo Pisano, also known as Fibonacci (for filius Bonacci, meaning son of Bonacci), was an Italian
mathematician who lived from 1170 - 1250. (WhatIs.com)

Fibonacci poem (or Fib)
- A Fibonacci poem (or Fib) is a multiple-line verse based on the Fibonacci sequence so that the number of
syllables in each line equals the total number of syllables in the preceding two lines. (WhatIs.com)
http://whatis.techtarget.com/definition/Fibonacci-sequence
Fibonacci poem (or Fib)
Part of the Mathematics glossary:
A Fibonacci poem (or Fib) is a multiple-line verse based on the Fibonacci sequence so
that the number of syllables in each line equals the total number of syllables in the
preceding two lines.
The Fibonacci sequence begins with either zero or one, followed by one, and
proceeds based on the rule that each number (called a Fibonacci number ) is equal
to the sum of the preceding two numbers. Technically, the first line in a Fibonacci
poem with n = 0 has no syllables, and therefore constitutes a moment of silence. This
is an important consideration, just as standard syllable and rhythm patterns are
critical to other forms of verse such as haiku, limerick, and iambic pentameter. (If n =
1, then there is no initial moment of silence.)
Here's an example:
What
is
a Fib?
A poem
mathematical
Syllables are arranged in lines
according to Fibonacci's sequence of numbers:
One, one, two, three, five, eight, thirteen, twenty-one, thirty-four, fifty-five and so on.
Because the lines have ever-increasing syllables, the composition of long Fibonacci
poems is very challenging. As a result, most have only six or seven lines. The last
syllable in each line may rhyme with the last syllable in one or more other lines,
although rhyme is not a requirement.
Fibs have become popular among geeks as well as literati. According to some
enthusiasts, this new poetic structure has the capacity to spark communication
among mathematicians, physicists, chemists, biologists and poets, despite the gulfs
that often seem to prevail between their disciplines in other respects.
The Fibonacci poem, like the mathematical concept it's based on, is named for
Leonardo Pisano (1170 - 1250), an Italian mathematician also known as Fibonacci .
The poetry form probably goes back much earlier than Fibonacci. Fibonacci is said to
have found instances of his sequence used in Sanskrit poetry of the 12th century.
The sequence itself was reportedly discovered by the Sanskrit grammarian Pingala, in
500 BC. Much more recently, Gregory K. Pincus coined the term Fib in his blog , to
refer to a six-line, twenty syllable version of the form. Pincus elicited attempts from
his readers, sparking interest in the Fib, a mention onSlashdot , and a great number
of examples proliferating online as a result.
This was last updated in March 2011Posted by: Margaret Rouse
Leonardo Fibonacci (Pisano)
Leonardo Pisano, also known as Fibonacci ( for filius Bonacci , meaning son of Bonacci ), was an Italian
mathematician who lived from 1170 - 1250. Fibonacci is sometimes called the greatest European
mathematician of the middle ages.
As a boy, Fibonacci travelled, with his father, to North Africa, where he learned the Arabic numeral
system. Subsequently, Fibonacci studied under leading Arabic mathematicians. Fibonacci is best
known for introducing mathematical concepts he learned in the Middle East to the Western world,
including the decimal system and theFibonacci sequence , a series of numbers beginning with zero or
one and proceeding in such a manner that each number is the sum of the two preceding numbers.
Prize-winning Fibbers!

AAA
Part of the Personal computing glossary:
Finest Fibs
We've come to the end of the Fib contest and contest judge Greg Pincus has
made his selections -- not, I might add, without a great deal of difficulty. We had
a LOT of great entries! And now, without further ado (drumroll, please!), it
gives us great pleasure to announce our winners:
Penny Phillips was selected the best Fibber. Penny, we'll get the Web cams on their
way to you. Runners-up, in no particular order: Tom O'Connor, Donna Gagnon, Joe
Hullender and John Petersen. You get neat prizes like coffee mugs and t-shirts.
Here are the winning entries:
First place:
Penny Phillips
We
now
have learned
for certain
after many trials
that repeatedly pushing 'print'
will not fix the problem that the printer is having.
The Runners-Up:
Tom O' Connor:
Night.
Dark.
Sleepless,
Just sitting,
I should be coding,
But the Fibonacci calls me!
Donna Gagnon:
words
can
make me
hot and then
something inside cries
'why don't you own a web cam, eh?'
Joe Hullender:
bit
byte
micro
computer
forty years ago
I did my work with a slide rule!
John Peterson:
Mouse
Clicks.
Keyboard
Fingers tap.
Fans hum and things beep
Technology sounds fill the air
Sweet and melodic like a symphony to us geeks.
The main Fib page has lots more.
Just because the contest is over there's no reason to stop Fibbing. Inspired to write a
geeky Fib? We'd love to post it, along with links to your blog or Web site, if you'd
like.Here's our definition and another example, to get you started.
Send your Fib(s) to editor@whatis.com .
We'll post your Fib online along with your name (let us know if you want to be
anonymous).
This was last updated in May 2006
Posted by: Margaret Rouse
HTTP://CURIOSITY.DISCOVERY.COM/QUESTION/HOW-FIBONACCI-NUMBERS-RELATE-NATURE
Α VIDEO ON FIBONACCI PATTERNS
HOW DO FIBONACCI NUMBERS RELATE TO NATURE?
ANSWERED BY DISCOVERY CHANNEL
1.
GROUP
DISCOVERY CHANNEL
FIBONACCI'S EXPERIMENT SHOWS THAT OVER A PERIOD OF TIME, A PAIR OF RABBITS WILL REPRODUCE AT A
RATE EXPRESSED IN HIS IDENTIFIED SEQUENCE OF NUMBERS. ONE PAIR OF RABBITS WILL CREATE A PAIR OF
OFFSPRING. WHEN THOSE RABBITS MATURE, THEY WILL CREATE ANOTHER PAIR OF OFFSPRING, AND DURING
THAT TIME, THE OLDER, ORIGINAL PAIR OF RABBITS WILL HAVE CREATED AN ADDITIONAL PAIR OF OFFSPRING,
ETC. SCIENTISTS HAVE DOCUMENTED THE OCCURRENCE OF THIS PATTERN AND RELATED SEQUENCE OF
NUMBERS OVER AND OVER AGAIN IN NATURE IN PLANTS, INSECTS AND ANIMALS.
MORE ANSWERS FROM DISCOVERY CHANNEL »
HTTP://WWW.MIT.EDU/~LEVITOV/FIBONACCIPHYLLOTAXIS.PDF
HOW MUCH NUMBER THEORY DO YOU HAVE TO KNOW TO BE A ….? CHECK FILE DOWNLOADED ‘FIBONACCI
PHYLLOTAXIS’
1.
THE FIBONACCI SERIES. EACH NUMBER IS THE SUM OF THE PREVIOUS TWO.. THE RATIO OF
SUCCESSIVE FIBONACCI NUMBERS CONVERGES TO THE FAMOUS GOLDEN SECTION OF ART AND
ARCHITECTURE, (5 - 1) / 2.FOR A SITE DEVOTED TO THE ROLE OF THIS SERIES IN MATHEMATICS, GO
TO. PROFESSOR RON KNOTT'S FIBONACCI NUMBER SITE..
2.
ALAN TURING: A SHORT BIOGRAPHY - 8
ALAN TURING: A SHORT BIOGRAPHY BY. ANDREW HODGES. THIS SHORT ON-LINE BIOGRAPHY OF
ALAN TURING IS BASED ON THE ENTRY I WROTE FOR THE BRITISH. DICTIONARY OF NATIONAL
BIOGRAPHY. IN 1995. THE EIGHT PARTS CORRESPOND ROUGHLY TO THE EIGHT SECTIONS OF MY FULL
BIOGRAPHY. ALAN TURING: THE ENIGMA.. THERE ARE NO HYPERLINKS I
3.
ALAN TURING SCRAPBOOK - WONDROUS LIGHT
THE LAST TWO DRAMATIC YEARS OF ALAN TURING'S LIFE: GAY HISTORY AND THE COLD WAR; NEW
MATHEMATICS OF BIOLOGICAL GROWTH, AND HIS MYSTERIOUS SUDDEN DEATH.
4.
TURING: A NATURAL PHILOSOPHER: PART 12
TURING: A NATURAL PHILOSOPHER - BOOK BY ANDREW HODGES
5.
WHAT WOULD ALAN TURING HAVE DONE...
PHILOSOPHY AREA. WHAT WOULD ALAN TURING HAVE DONE AFTER 1954? LECTURE AT THE TURING
DAY, LAUSANNE, 2002 BY. ANDREW HODGES. ON 28 JUNE 2002 I SPOKE AT THE. TURING DAY. AT THE
SWISS FEDERAL INSTITUTE OF TECHNOLOGY, LAUSANNE (EPFL) CELEBRATING THE 90TH
ANNIVERSARY OF ALAN TURING'S BIRTH. MY LECTURE WAS ON THE IMPOSSIBL
HTTP://WWW.TURING.ORG.UK/SEARCH/RESULTS.ASP
ALAN TURING DARED TO ASK WHETHER A MACHINE COULD THINK. HIS CONTRIBUTIONS TO UNDERSTANDING
AND ANSWERING THIS AND OTHER QUESTIONS DEFY CONVENTIONAL CLASSIFICATION. AT THE CLOSE OF THE
TWENTIETH CENTURY, THE 1936 CONCEPT OF THE TURING MACHINE APPEARS NOT ONLY IN MATHEMATICS
AND COMPUTER SCIENCE, BUT IN COGNITIVE SCIENCE AND THEORETICAL BIOLOGY. HIS 1950 PAPER
'COMPUTING MACHINERY AND INTELLIGENCE,' DESCRIBING THE SO-CALLED TURING TEST, IS A CORNERSTONE
OF THE THEORY OF ARTIFICIAL INTELLIGENCE. IN BETWEEN, TURING PLAYED A VITAL ROLE IN THE OUTCOME
OF THE SECOND WORLD WAR, AND PRODUCED SINGLE-HANDEDLY A FAR-SIGHTED PLAN FOR THE
CONSTRUCTION AND USE OF AN ELECTRONIC COMPUTER. HE THOUGHT AND LIVED A GENERATION AHEAD OF
HIS TIME, AND YET THE FEATURES OF HIS THOUGHT THAT BURST THE BOUNDARIES OF THE 1940S ARE BETTER
DESCRIBED BY THE ANTIQUE WORDS: NATURAL PHILOSOPHY.
ALAN TURING'S IMMERSION IN AND ATTACK UPON NATURE WAS A UNITY; DIVISIONS BETWEEN
MATHEMATICS, SCIENCE, TECHNOLOGY AND PHILOSOPHY IN HIS WORK HAVE TENDED TO OBSCURE HIS IDEAS.
HE WAS NOT A PROLIFIC AUTHOR; MUCH REMAINED UNPUBLISHED IN HIS LIFETIME; SOME REMAINED SECRET
INTO THE 1990S. PRIVATE COMMUNICATIONS SHED A LITTLE MORE LIGHT ON THE DEVELOPMENT OF HIS
THOUGHT, A SUBJECT ON WHICH HE WAS GENERALLY SILENT. WE SHALL SEE, FOR INSTANCE, HOW HE CAME
TO LOGIC AND COMPUTATION FROM A YOUTHFUL FASCINATION WITH THE PHYSICAL DESCRIPTION OF MIND.
BUT WE HAVE ONLY HINTS AS TO THE FORMATION OF HIS CONVICTIONS AMIDST THE SECRECY OF WARTIME
CRYPTANALYSIS, AND SUGGESTIONS OF FRESH IDEAS ARE LOST IN THE DRAMA OF HIS MYSTERIOUS DEATH.
THE NATURE OF TURING'S WORLD
ALAN MATHISON TURING WAS BORN IN LONDON ON 23 JUNE 1912, AND FROM THE BEGINNING SHOWED A
PERSONALITY OUT OF PLACE IN THE UPPER-MIDDLE-CLASS SCHOOLING UNDERGONE BY SONS OF INDIAN CIVIL
SERVICE OFFICERS. CONFORMITY TO CLASS MEANT UNQUESTIONING OBEDIENCE TO THE RITUALS OF THE
BRITISH PREPARATORY AND PUBLIC SCHOOL. BUT THE BOOK NATURAL WONDERS EVERY CHILD SHOULD
KNOW OPENED HIS EYES TO THE CONCEPT OF SCIENTIFIC EXPLANATION, AND FROM THEN ON NATURE AS
OPPOSED TO HUMAN CONVENTION COMMANDED HIS ATTENTION, AS MANY NAGGING REPORTS
DEMONSTRATED. DUTY, HIERARCHY, MASTERS, SERVANTS, RULES AND GAMES WOULD LATER PLAY A
STRIKING ROLE IN THE ILLUSTRATION OF HIS IDEAS; BUT WHILE AT SCHOOL HE WAS MORE BAFFLED AND
INCOMPETENT THAN REBELLIOUS AT THE DEMANDS OF THE BRITISH EMPIRE, IGNORING AS MUCH AS
POSSIBLE WHILE PURSUING HIS OWN PRIORITIES. IN 1925 HE WROTE TO HIS MOTHER [1]: 'I AM MAKING A
COLLECTION OF EXPERIMENTS IN THE ORDER I WANT TO DO THEM IN. I ALWAYS WANT TO MAKE THINGS
FROM THE THING THAT IS COMMONEST IN NATURE AND WITH THE LEAST WASTE OF ENERGY.'
HIS EXPERIMENTAL CHEMISTRY INCURRED DISPLEASURE, AS DID POOR HANDWRITING AND
UNCONVENTIONAL METHODS IN HIS MATHEMATICS. HE WAS BOTTOM OF THE FORM IN ENGLISH. THE
HEADMASTER WROTE, 'IF HE IS TO STAY AT A PUBLIC SCHOOL, HE MUST AIM AT BECOMING EDUCATED. IF HE
IS TO BE SOLELY A SCIENTIFIC SPECIALIST, HE IS WASTING HIS TIME AT A PUBLIC SCHOOL' AND THIS JUDGMENT
ON BRITISH RULING-CLASS PRIORITIES WAS ALMOST CORRECT. TURING WAS NEARLY PREVENTED FROM
TAKING THE EQUIVALENT OF GCSES. THEREAFTER, HE FOUND HIS LEVEL IN EINSTEIN'S OWN EXPOSITION OF
RELATIVITY AND EDDINGTON'S VIEW OF QUANTUM MECHANICS IN THE NATURE OF THE PHYSICAL
WORLD. BUT THIS WAS ISOLATED PRIVATE STUDY, AND HE MIGHT NEVER HAVE FELT THE URGE TO
COMMUNICATE BUT FOR AN IMPOSSIBLY ROMANTIC STORY.
HUMAN NATURE BROUGHT HIM TO LIFE; BUT IT WAS HIS OWN HOMOSEXUAL NATURE, BRINGING
REVELATION AND TRAUMA IN EQUAL MEASURE. HE FELL IN UNREQUITED LOVE WITH CHRISTOPHER
MORCOM, A VERY TALENTED YOUTH IN THE SCHOOL SIXTH FORM, AND HIS LONGING FOR FRIENDSHIP
BROUGHT HIM TO COMMUNICATE. A BRIEF FLOWERING OF SCIENTIFIC COLLABORATION PERISHED WHEN
MORCOM SUDDENLY DIED IN FEBRUARY 1930. TURING'S CORRESPONDENCE WITH THE DEAD BOY'S MOTHER
GIVES INSIGHT INTO THE DEVELOPMENT OF HIS IDEAS IN THE AFTERMATH. HE WAS CONCERNED TO BELIEVE
THE DEAD BOY COULD STILL EXIST IN SPIRIT, AND TO RECONCILE SUCH A BELIEF WITH SCIENCE. TO THIS END
HE WROTE FOR MRS MORCOM AN ESSAY, PROBABLY IN 1932. IT IS THE PRIVATE WRITING OF A TWENTYYEAR-OLD, AND MUST BE READ AS TESTAMENT TO BACKGROUND AND NOT AS A THESIS UPHELD IN PUBLIC;
NEVERTHELESS IT IS A KEY TO TURING'S FUTURE DEVELOPMENT. [2]
NATURE OF SPIRIT
IT USED TO BE SUPPOSED IN SCIENCE THAT IF EVERYTHING WAS KNOWN ABOUT THE UNIVERSE AT ANY
PARTICULAR MOMENT THEN WE CAN PREDICT WHAT IT WILL BE THROUGH ALL THE FUTURE... MORE MODERN
SCIENCE HOWEVER HAS COME TO THE CONCLUSION THAT WHEN WE ARE DEALING WITH ATOMS AND
ELECTRONS WE ARE QUITE UNABLE TO KNOW THE EXACT STATE OF THEM; OUR INSTRUMENTS BEING MADE
OF ATOMS AND ELECTRONS THEMSELVES. THE CONCEPTION THEN OF BEING ABLE TO KNOW THE EXACT STATE
OF THE UNIVERSE THEN MUST REALLY BREAK DOWN ON THE SMALL SCALE. THIS MEANS THAT THE THEORY
WHICH HELD THAT AS ECLIPSES ETC. ARE PREDESTINED SO WERE ALL OUR ACTIONS BREAKS DOWN TOO. WE
HAVE A WILL WHICH IS ABLE TO DETERMINE THE ACTION OF THE ATOMS PROBABLY IN A SMALL PORTION OF
THE BRAIN, OR POSSIBLY ALL OVER IT. THE REST OF THE BODY ACTS SO AS TO AMPLIFY THIS...
IN STATING THE CLASSIC PARADOX OF PHYSICAL DETERMINISM AND FREEWILL, TURING IS INFLUENCED BY
EDDINGTON'S ASSERTION THAT QUANTUM MECHANICAL PHYSICS ('MORE MODERN SCIENCE') YIELDS ROOM
FOR HUMAN WILL. EDDINGTON ASKED HOW COULD 'THIS COLLECTION OF ORDINARY ATOMS BE A THINKING
MACHINE?' AND TURING TRIES TO FIND SOME ANSWER. HIS ESSAY GOES ON TO ESPOUSE BELIEF IN A SPIRIT
UNCONSTRAINED BY THE BODY: 'WHEN THE BODY DIES THE 'MECHANISM' OF THE BODY, HOLDING THE SPIRIT
IS GONE AND THE SPIRIT FINDS A NEW BODY SOONER OR LATER PERHAPS IMMEDIATELY.' LETTERS SHOW HE
RETAINED SUCH IDEAS AT LEAST UNTIL 1933.
TURING WAS MUCH MORE SUCCESSFUL IN UNDERGRADUATE WORK THAN AT SCHOOL, AND KING'S COLLEGE
LENT HIM A PROTECTIVE AMBIENCE SYMPATHETIC TO HOMOSEXUALITY AND UNCONVENTIONAL OPINION. HE
WAS NOT, HOWEVER, ONE OF ITS ÉLITE SOCIAL CIRCLE, NOR IN A POLITICAL GROUP. POLITICALLY, HE
RESPONDED BRIEFLY TO THE 1933 ANTI-WAR MOVEMENT, BUT NOT TO THE COMMUNIST PARTY AS OTHERS
OF HIS CLOSE ACQUAINTANCE DID. NOR DID TURING SHARE THE PACIFISM OF HIS FIRST LOVER, FELLOW
MATHEMATICS STUDENT JAMES ATKINS.
IN A SIMILAR WAY TURING FOUND A HOME IN CAMBRIDGE MATHEMATICAL CULTURE, YET DID NOT BELONG
ENTIRELY TO IT. THE DIVISION BETWEEN 'PURE' AND 'APPLIED' MATHEMATICS WAS AT CAMBRIDGE THEN AS
NOW VERY STRONG, BUT TURING IGNORED IT, AND HE NEVER SHOWED MATHEMATICAL PAROCHIALISM. IF
ANYTHING, IT WAS THE ATTITUDE OF A RUSSELL THAT HE ACQUIRED, ASSUMING THAT MASTERY OF SO
DIFFICULT A SUBJECT GRANTED THE RIGHT TO INVADE OTHERS. TURING SHOWED LITTLE INTELLECTUAL
DIFFIDENCE ONCE IN HIS STRIDE: IN MARCH 1933 HE ACQUIRED RUSSELL'S INTRODUCTION TO
MATHEMATICAL PHILOSOPHY, AND ON 1 DECEMBER 1933, THE PHILOSOPHER R. B. BRAITHWAITE MINUTED IN
THE MORAL SCIENCE CLUB RECORDS: 'A. M. TURING READ A PAPER ON 'MATHEMATICS AND LOGIC.' HE
SUGGESTED THAT A PURELY LOGISTIC VIEW OF MATHEMATICS WAS INADEQUATE; AND THAT MATHEMATICAL
PROPOSITIONS POSSESSED A VARIETY OF INTERPRETATIONS, OF WHICH THE LOGISTIC WAS MERELY ONE.' AT
THE SAME TIME HE WAS STUDYING VON NEUMANN'S 1932 GRUNDLAGEN DEN QUANTENMECHANIK. THUS, IT
MAY BE THAT EDDINGTON'S CLAIMS FOR QUANTUM MECHANICS HAD ENCOURAGED THE SHIFT OF TURING'S
INTEREST TOWARDS LOGICAL FOUNDATIONS. AND IT WAS LOGIC THAT MADE ALAN TURING'S NAME.
[1] LETTER TO TURING'S MOTHER, MRS E. SARA TURING, NOW IN THE TURING ARCHIVE AT KING'S COLLEGE,
CAMBRIDGE.
[2] A COPY OF TURING'S UNDATED MANUSCRIPT NATURE OF SPIRIT IS ALSO IN THE TURING ARCHIVE.
© 1997, ANDREW HODGES.
HTTP://WWW.TURING.ORG.UK/PHILOSOPHY/EX1.HTML
HOLOCOSMICS: BEYOND THE NEW HORIZON OF A UNIFIED THEORY IN THE META-SCIENCES
BY HAJIME FUJIWARA
HISTORICAL REVIEW
TRADITIONAL SCIENCE HAS BEEN DOMINATED BY NEWTON'S LAWS. NEWTON'S THEORY WAS THE FIRST TO
ELUCIDATE AND EXPRESS MOTION AND INERTIA, THOUGH FOLLOWING A LIMITED AND LINEAR MODE OF
THINKING.
AT THE TURN OF THE CENTURY, ALBERT EINSTEIN SUGGESTED THE PRESENCE OF INERTIA IN THE LAWS THAT
CONTROL NATURE. HE REFINED NEWTON'S LAWS THROUGH THE TIME SPACE NEXUS WHICH WAS A MAJESTIC
SIMPLIFICATION OF SCIENTIFIC THOUGHT (#1; EINSTEIN A .; 1905). ACCORDING TO EINSTEIN, THE LAWS OF
NATURE HAD TO BE WRITTEN IN SUCH A WAY THAT THEIR FORMS WERE IDENTICAL NO MATTER HOW TIME
AND SPACE WERE DISTORTED; "THAT LAWS MUST BE INDEPENDENT OF ALL COORDINATE SYSTEM"(#2; PEAT,
D.; 1991).
THIS TRANSFORMATION FROM NEWTON'S F=MA TO EINSTEIN'S E=MC2 FORCED US TO "DIMENSION JUMP"
WHICH IS EQUIVALENT TO "LEAPING" FROM THE LINEAR TO A NON-SPECIFIC, NON-LINEAR, OR A SPECIFIC
CURVILINEAR. THIS SPECIAL THEORY OF RELATIVITY IS MATHEMATICALLY BASED ON LORENTZ'
TRANSFORMATION WHICH EXPLAINS ALL THE BASIC EQUATIONS NECESSARY TO ESTABLISH THE RELATIVITY OF
TIME AND SPACE.
NOBEL PRIZE LAUREATE, RICHARD FEYNMAN WAS AN OFF-BEAT SCHOLAR WITH A CLOUD OF MYTHS LIKE A
GADFLY, A RAKE, A CLOWN, A NAIF, A SUPER-GENIUS AND A MAGICIAN. NEVERTHELESS, HE CONTRIBUTED A
GREAT DEAL TO THE DEVELOPMENT OF QUANTUM MECHANICS.
FEYNMAN SAID TO DAYSON [FREEMAN], AND DAYSON AGREED, THAT
EINSTEIN'S GREAT WORK HAD SPRUNG FROM PHYSICAL INTUITION AND
THAT WHEN EINSTEIN STOPPED CREATING IT WAS BECAUSE 'HE STOPPED
THINKING IN CONCRETE PHYSICAL IMAGES AND BECAME A MANIPULATOR
OF EQUATION'
(#3; GLEICK,J.; 1992)
TO OVERCOME THE CRITICAL WEAKNESS OF EINSTEIN'S GENERAL THEORY OF RELATIVITY, WERNER
HEISENBERG SUGGESTED ABANDONING THE CONCEPT OF PHASE SPACE IN HIS UNCERTAINLY PRINCIPLE. AND,
SOON THEREAFTER, ERWIN SCHRODINGER EXPLAINED QUANTUM STATES WITH HIS WAVE FUNCTION.
FROM LINEAR TO CURVILINEAR
THE THEORETICAL DEVELOPMENT FROM NEWTON TO EINSTEIN, TO QUANTUM MECHANICS, SHOWS AN
EVOLUTION FROM LINEAR TO CURVILINEAR CONCEPTS IN GEOMETRY. THE TRANSITION FROM LINEAR TO
NON-LINEAR IS CHARACTERIZED BY THE EMERGING PHENOMENA TYPICALLY DEMONSTRATED BY THE
COMPLEXITY SYSTEM AT THE EDGE OF CHAOS. THE FRACTAL GROWTH PATTERN OF MINERALS, THE RATIO OF
HUMAN DIASTOLIC AND SYSTOLIC BLOOD PRESSURE LEVEL, THE FLUCTUATING MOVEMENT OF THE STOCK
MARKET AND THE COMMODITY FUTURES PRICES, ALL SYSTEMS FROM ELEMENTARY PARTICLES TO THE
UNIVERSAL SYSTEMS ARE SUBJECT TO THE FIBONACCI NUMBER (#4; FUJII N. & FUJIWARA H.; 1989). THE
FIBONACCI NUMBER IS A DYNAMIC LAW THAT LIES AT THE HEART OF ALL SYSTEMS. AS A COSMIC LAW, IT
CONTROLS THE SPONTANEOUS EMERGENCE OF STRUCTURE AND FORM IN NATURE, WITH A PERPETUATING
PATTERN TOWARDS SELF-ORGANIZATION. THIS FIBONACCI NUMBER, ALSO KNOWN AS THE "GOLDEN
SECTION" (A RATIO OF 1: 1.618 OR F) HAS BEEN WELL KNOWN SINCE EGYPTIAN AND GREEK TIMES. IT IS A
DIVINE PROPORTION, WHICH STATICALLY REPRESENTS THIS FIBONACCI NUMBER. THE SECRET BEAUTY OF THE
GOLDEN SECTION (F) IS DEMONSTRATED WITH THE FOLLOWING "CONTINUED RADICAL" AND "CONTINUED
FRACTION" EQUATIONS:
F (PHI)=
(1-1)
F, A "GENE-LIKE OPERATOR" IS THE DECISIVE LIFE-FORCE OF THE FIBONACCI NUMBER THAT EMBRACES ONLY A
COMBINATION OF THE MOST FUNDAMENTAL NUMBER OF "1". THE SPIRALING MOTION OF THE FIBONACCI
NUMBER TOWARDS INFINITY IS THE VERY FORMULA, WHICH CONTROLS THE HIDDEN SECRETS IN NATURE AND
IN THE COSMOS. THIS FORMULA HAS A LOVELY NAME OF "GO-BACK SPIN-OFF ADVANCEMENT". (FIG 1)
FIG. 1. : "GO-BACK SPIN-OFF ADVANCEMENT" OF THE FIBONACCI NUMBER
THIS ADVANCEMENT DEPENDS MACROSOPICALLY ON THE STATIC REPRESENTATION OF LINEAR GROWTH.
FURTHERMORE, THIS ADVANCEMENT ALSO DEPENDS MICROSCOPICALLY ON THE DYNAMIC REPRESENTATION
OF CURVILINEAR GROWTH. (FIG 2)
FIG. 2. : LINEAR AND CURVILINEAR GROWTH PATTERNS
THE INTRODUCTION OF HOLOCOSMICS
IN ORDER TO COMPLETE OUR PARAMOUNT THEORIZATION OR ADVANCEMENT FROM THE LINEAR TO
CURVILINEAR GEOMETRIFICATION OF THE COSMIC "ONE-NESS-IZATION", WE ARE COMPELLED TO INTRODUCE
THE TERM: "META-SCIENCE", WHICH EMBRACES THE CONCEPT OF HOLOCOSMICS. (FIG 3)
FIG. 3. : HOLOCOSMICS
PHYSICISTS HAVE RESTRICTED THE MEANING OF THE WORD "UNIVERSE". HOWEVER, BASED ON
HOLOCOSMICS' CONCEPT, THE UNIVERSE SIMPLY REPRESENTS A SUBSYSTEM OF THE UNIVERSAL SYSTEM. THIS
NEW CONCEPT LEADS TO A SUPER-SCIENTIFIC REVOLUTION (#5; CHANG K. & FUJIWARA H.; 1994). IN THE
CONCEPT OF HOLOCOSMICS, NOT ONLY DOES A POINT MATHEMATICALLY REPRESENT A ZERO DIMENSION,
BUT ALSO BEYOND THIS SINGULAR POINT, EXISTS "NOTHINGNESS". FURTHERMORE, BEYOND THE UNIVERSAL
SYSTEM, THERE EXISTS "EMPTINESS". NOTHINGNESS IS A KEY CONCEPT OF TAOISM, EMPTINESS IS THE
ESSENCE OF BUDDHIST PHILOSOPHY AND, IN BETWEEN THESE TWO WORLDS EXISTS A "REAL WORLD" WHICH
REPRESENTS THE FOUNDATIONS OF TRADITIONAL SCIENCE.
MINKOWSKY'S "WORLD LINE" AND THE EXCLUSION OF THE "GHOST FIELD"
IN 1905, EINSTEIN PUBLISHED A PAPER ON THE SPECIAL THEORY OF RELATIVITY. THREE YEARS LATER, HERMAN
MINKOWSKY DEFINED THE "WORLD-LINE" WITH A MODEL OF THE "NULL CONE" AND SUCCEEDED IN
EXPRESSING EINSTEIN'S THEORY IN A MORE PRECISE, MATHEMATICAL LANGUAGE. THE EINSTEIN-MINKOWSKY
MODEL HOWEVER, FAILED TO EXPLAIN IDEAS BEYOND THE SPEED OF LIGHT BECAUSE THE CONCEPT OF THE
NULL, CONE WAS LIMITED BY THE PHOTON'S WORLD LINE (WHICH IS EQUAL TO THE SPEED OF LIGHT: 300,000
KM/SEC). (FIG 4)
HOLOCOSMICS CONSISTS OF A MULTI-DIMENSION, WHICH ALLOWS FOR THE BEHAVIOR OF SHRINKEXPANSION BETWEEN EMPTINESS AND NOTHINGNESS, FORMING A REAL WORLD AND GHOST FIELD, WHICH
ARE THE AREAS BEYOND THE PHOTON'S WORLD LINE.
THE GHOST FIELD AND THE REAL WORLD SHOULD BE INTEGRATED INTO THE MOBIUS' CIRCULAR BAND OF
NEVER-ENDING BEGINNINGS WHICH IN TURN, WILL BEGET THE COSMIC ELEMENT OR ALL OTHER STRANGE
AND UNDISCOVERED, ULTIMATE SUB-PARTICLE.
FIG. 4 : NULL CONE
THE FIELD EQUATION AND HOLOCOSMICS
EINSTEIN'S GENERAL THEORY OF RELATIVITY IS BASED ON THE FIELD EQUATIONS, WHICH ARE REPRESENTED
BY THE OPERATOR G.
YOU MAY REGARD G AS AN OPERATOR; WHEN YOU APPLY IT TO ANY
METRIC TENSOR AX, YOU GET A TENSOR GAX (THE EINSTEIN TENSOR),
AND THE FIELD EQUATIONS READ:
GAX=MX.
(1-2)
IN A VACUUM, WHERE THERE IS NO MATTER, THESE EQUATIONS READ:
GAX=0
(1-3)
THERE ARE THE EQUATIONS WHICH GOVERN GRAVITATIONAL FIELDS.
WHEN WRITTEN OUT, THEY CONSIST OF TEN PARTIAL DIFFERENTIAL
EQUATIONS OF A VERY DIFFICULT TYPE, PERHAPS THE MOST DIFFICULT
EQUATIONS OCCURRING IN THE WHOLE OF PHYSICS.
(#6; SYNGE, J.L.; 1970)
HOWEVER, THE FIELD EQUATIONS ARE NOT ADAPTABLE INTO THE GHOST FIELD-WHICH CONSISTS OF THE
MONSTROSITY AND THE IMMENSITY OF NATURE. IN THIS, WE CAN WITNESS THE SPLENDOR OF THE MOBIUS
BAND AND THE SINGULAR POINT OF ONENESSIZATION. THE GHOST FIELD AND THE REAL WORLD, FOUND
BETWEEN THE EMPTINESS AND NOTHINGNESS, FORM THE HOLOCOSMICS THAT CAN BE EXPRESSED AS
FOLLOWS:
THE ABOVE REPRESENTATION OF HOLOCOSMICS DEVELOPS INFINITELY AND IS A VERY INTERESTING
FUNDAMENTAL, COSMIC THOUGHT. THIS CONTROLS THE HIDDEN SECRETS OF NATURE AND OF THE COSMOS.
THIS AREA IS THAT EINSTEIN COULD NOT ACCOMPLISH FOR IT REQUIRES A HIGHER STATE OF
"GEOMETRIFICATION". TOPOLOGICAL AND CURVILINEAR APPROACHES ARE THE MOST POWERFUL WEAPON
NEEDED TO CONCEPTUALIZE THE 21ST CENTURY'S FORM OF GEOMETRY WHICH WAS "EVEN NEGLECTED BY
GREAT GEOMETRICIANS SUCH AS DESCARTES", SAID LEIBNIZ.
THE SIMPLEST MODEL OF COSMIC STRUCTURE
THE RESULTS OF CONTEMPORARY MATHEMATICS INDICATE THAT ONLY THE TOPOLOGICAL APPROACH CAN
EXPAND OUR THOUGHTS BEYOND ZERO AND INFINITY. THE MOST FAMILIAR SPHERICAL MODEL IN TOPOLOGY
IS A TORUS, WHICH IS A DONUT SHAPE WITH THE SURFACE OF A WELL-BEHAVED GEOMETRICAL FIGURE.
HOWEVER, WHEN INTRODUCED TO THE GEOMETRY OF A "STRANGE ATTRACTOR" FROM THE COMPLEXITY
SYSTEM, THE SURFACE OF THE TORUS TRANSFORMS INTO AN INFINITE DIMENSION WITH LIMITLESS AND
ENDLESS DETAIL. THE HIGHER GEOMETRY OF META-SCIENCE CAN CRYSTALLIZE HOLOCOSMICS INTO
WONDERFUL GEOMETRIC CONFIGURATION. HERE IS ONE OF THE SIMPLEST ORIGINS AND STRUCTURES
SHOWN AS A SPHERICAL MODEL. (FIG 5)
FIG. 5 : SPHERICAL COSMOS MODEL
EINSTEIN DESIRED THIS MODEL AS IT REPRESENTS THE CORE OF COSMIC ONENESSIZATION. THIS LED LEIBNIZ
TO DECLARE THAT COSMIC SIMPLIFICATION MUST BE THE TEACHING OF AN ANCIENT ASIAN SAGE. (FIG 6)
FIG. 6 : TORUS COSMOLOGY AND THAI CHI
RECEIVING THE WISDOM OF THE 1 CHING (FUNDAMENTALS OF CHANGE) FROM A MISSIONARY FRIEND,
LEIBNIZ WANTED TO GET THE TRANSFORMATION OF EINSTEIN'S PHILOSOPHY WHICH MEANT ACHIEVING A
HIGHER LEVEL OF THE SYSTEMATIZATION OF EASTERN AND WESTERN SAGES' WISDOM.
CONCLUSION
WITH THE TRANSITION FROM THE 20TH TO 21ST CENTURY, AND AMIDST THE INFORMATION REVOLUTION,
THESE WORKS ARE OF PARAMOUNT IMPORTANCE. THE HOLOCOSMICS OF META-SCIENTIFIC EXPLORATION IS
THE BEST PRINCIPAL TO ACCOMPLISH SUCH A GREAT TASK. IN REALIZING THIS SUCCESS OF INTEGRATING THE
PROMINENT WORKS OF NEWTON'S LAWS AND EINSTEIN'S THEORY OF RELATIVITY, WE CAN ENTER A TOTALLY
NEW HORIZON OF BARTLAND RUSELL'S ADVANCED SCIENCE OF HUMAN INTELLECTUALIZATION". WE ARE
EXPERIENCING THE EXCITEMENT OF DISCOVERY, MUCH LIKE THAT OF THE FAMOUS ENGLISH PHILOSOPHER,
FRANCIS BACON, IN MAKING THIS PRESENTATION "A GIFT TO MANKIND".
REFERENCES
1. EINSTEIN, ALBERT. ON THE ELECTRODYNAMICS OF MOVING BODIES; ANNALEN DER PHYSIK 17, 1905.
TRANSLATED BY W. PERRITT & G. B. JOFFEERY. THE PRINCIPLE OF RELATIVITY; DOVER PUBLICATIONS INC., NY,
1952.
2. PEAT, DAVID F. THE PHILOSOPHER'S STONE; BANTAM BOOKS, NEW YORK, 1991.
3. GLEICK, JAMES. GENIUS; VINTAGE BOOK, NY, 1992.
4. FUJII, NOBUHARU & FUJIWARA, HAJIME. INTER-BRAIN FANTASY (JAPANESE TITLE "KANNOGENSO"); TOKOSHOIN, TOKYO, 1988.
5. CHANG, KINGSHUNG & FUJIWARA, HAJIME. FUTURE WISDOM OF META-SCIENCE (JAPANESE/CHINESE TITLE
"UCHU JUNREI"); TOMEISHA, TOKYO, 1993 AND SOIRYOKU PRESS, TAIPEI, 1997.
6. SYNGE, J. L. TALKING ABOUT RELATIVITY; NORTH-HOLLAND PUBLISHING CO., 1970.
HTTP://FUJIWARAHA01.WEB.FC2.COM/FUJIWARA/PAPER/META/META.HTM
YOU TUBE
ANCIENT KNOWLEDGE PT.1 CONSCIOUSNESS,
SACRED GEOMETRY, CYMATICS, ILLUSION OF
REALITY (RARE FOOTAGE)
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SEQUENCE, GOLDEN RATIO, PHI IN NATURE, DNA,
FINGERPRINT OF GOD
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Mind games: Why
everything you thought you
knew about yourself is
wrong
The decisions we make and even the
memories we hold are based on delusions,
according to a new book
GILLIAN ORR
MONDAY 29 OCTOBER 2012
1/3
So you remember your wedding day like it was yesterday. You can you spot when something is
of high quality. You keep yourself well-informed about current affairs but would be open to
debate and discussion, You love your phone because it's the best, right? Are you sure? David
McRaney from Hattiesburg, Mississippi, is here to tell you that you don't know yourself as
well as you think. The journalist and self-described psychology nerd's new book, You Are Not
So Smart, consists of 48 short chapters on the assorted ways that we mislead ourselves every
day. "The central theme is that you are the unreliable narrator in the story of your life. And
this is because you're unaware of how unaware you are," says McRaney. "It's fun to go through
legitimate scientific research and pull out all of the examples that show how everyone, no
matter how smart or educated or experienced, is radically self-deluded in predictable and
quantifiable ways." Based on the blog of the same name, You Are Not So Smart is not so much
a self-help book as a self-hurt book. Here McRaney gives some key examples
Expectation
The Misconception: Wine is a complicated elixir, full of subtle flavours only an expert can
truly distinguish, and experienced tasters are impervious to deception.
The Truth: Wine experts and consumers can be fooled by altering their expectations.
An experiment in 2001 at the University of Bordeaux had wine experts taste a red and white
wine, to determine which was the best. They dutifully explained what they liked about each
wine but what they didn't realise was that scientists had just dyed the same white wine red
and told them it was red wine. The tasters described the sorts of berries and tannins they
could detect in the red wine as if it really was red. Another test had them judge a cheap bottle
of wine and an expensive one. They rated the expensive wine much more highly than the
cheap, with much more flattering descriptions. It was actually the same wine. It's not to say
wine-tasting is pointless, it's to show that expectation can radically change experience. Yes,
these people were experts, but that doesn't mean they can't be influenced by the same things
as the rest of us, whether it be presentation or advertising or price. This drives home the idea
that reality is a construction of the brain. You don't passively receive the outside world, you
actively construct your experience moment by moment.
The Texas Sharpshooter Fallacy
The Misconception: We take randomness into account when determining cause and effect.
The Truth: We tend to ignore random chance when the results seem meaningful or when we
want a random event to have a meaningful cause.
Imagine a cowboy shooting at the side of a barn over and over again with a gun. The side of
the barn fills up with holes. If you walk over and paint a bullseye around clusters of holes it
will make it look like you have made quite a lot of correct shots. It's a metaphor for the way
the human mind naturally works when trying to make sense out of chaos. The brain is very
invested in taking chaos and turning it into order. For example, in America it's very popular to
discuss how similar the Lincoln and Kennedy assassinations were. Elected 100 years apart,
Lincoln was killed in the Ford theatre; Kennedy was in a Lincoln automobile made by Ford.
They were both killed on a Friday, sitting next to their wives, by men with three names. And
so on and so on. It's not spooky. People take hold of the hits but ignore the misses. They are
pulled into the things that line up, and are similar or coincidental, but they ignore everything
else that's not. The similarities are merely bullseyes drawn around the many random facts.
Confirmation Bias
The Misconception: Your opinions are the result of years of rational, objective analysis.
The Truth: Your opinions are the result of years of paying attention to information that
confirmed what you believed, while ignoring information that challenged your preconceived
notions.
Any cognitive bias is a tendency to think in one way and not another whenever your mind is
on auto-pilot; whenever you're going with the flow. Confirmation bias is a tendency to pay
attention to evidence that confirms pre-existing beliefs and notions and conclusions about life
and to completely ignore other information. This happens so automatically that we don't even
notice. Say you have a flatmate, and you are arguing over who does most of the housework,
and both people believe that they do most of the work. What is really happening is that both
people are noticing when they do the work and not noticing when they don't. The way it plays
into most of our lives is the media that we choose to put into our brains; the television, news,
magazines and books. We tend to only pick out things that line up with our pre-existing
beliefs and rarely choose anything that challenges those beliefs. It relays the backfire effect,
which is a cognitive bias where if we're presented with contradictory evidence, we tend to
reject it and support our initial belief even more firmly. When people watch a news
programme or pundit, they aren't looking for information so much as confirmation of what
they already believe is going in.
Brand Loyalty
The Misconception: We prefer the things we own over the things we don't because we
made rational choices when we bought them.
The Truth: We prefer the things we own because we rationalise our past choices to protect
our sense of self.
Why do people argue over Apple vs Android? Or one car company versus another? After all,
these are just corporations. Why would you defend a brand as if you are their PR
representative? We believe that we prefer the things we own because we made these deep
rational evaluations of them before we bought them, but most of the rationalisation takes
place after you own the thing. It's the choosing of one thing over another that leads to
narratives about why you did it, which usually tie in to your self-image.
There are at least a dozen psychological effects that play into brand loyalty, the most potent of
which is the endowment effect: you feel like the things you own are superior to the things you
don't. When you buy a product you tend to connect the product to your self-image, then once
it's connected to your self-image you will defend it as if you're defending your own ego or
belief structure.
The Misinformation Effect
The Misconception: Memories are played back like recordings.
The Truth: Memories are constructed anew each time from whatever information is
currently available, which makes them highly permeable to influences from the present.
You might think your memory is a little fuzzy but not that it's completely inaccurate. People
believe that memory is like a video or files stored in some sort of computer. But it's not like
that at all. Memories are actually constructed anew each time that you remember something.
Each time you take an old activation sequence in your brain and re-construct it; like building a
toy airplane out of Lego and then smashing the Lego, putting it back into the box, and
building it again. Each time you build it it's going to be a little bit different based on the
context and experience you have had since the last time you created it.
Oddly enough, the least remembered memory is the most accurate. Each time you bring it
into your life you edit it a little more. In 1974 Elizabeth Loftus had people watch a film of two
cars having a collision and divided them into groups. Asking each group the same question,
she used a slightly different description: how fast were the cars going when they contacted,
hit, bumped, collided or smashed? The more violent the wording, the higher they estimated
the speed. The way in which questions were worded altered the memories subjects reported.
They weren't looking back to the memory of the film they watched, they were building a new
experience based on current information. Memory is actually very malleable and it's
dangerous to think that memory is a perfect recording of a past event.
'You Are Not So Smart: Why Your Memory is Mostly Fiction, Why You Have Too Many
Friends on Facebook and 46 Other Ways You're Deluding Yourself' by David McRaney
(Oneworld, £8.99)