"Salen-ga, a Filipino, discovered that the negative electron is actually positive"

In honor of Prof. Edgardo E. Escultura, I am proposing the establishment of the Salen-ga awards. The Salen-ga awards will be given to that exemplary Filipino who has contributed to the development of Filipino's interest in science through the propagation of their crackpot theories.

I propose the creation of the Salen-ga Society. The Salen-ga Society will be the organization to administer the award. Those who wish to join the Salen-ga Society can apply here.

I propose that the award be given every 5th of May to commemorate the day when the Manila Times reported that Prof. EEE had disproven Andrew Wiles proof regarding Fermat's Last theorem.

Nominations to the award are now open, the first nominee, of course is Prof. Edgar Escultura. To nominate people, one must join the Salen-ga Society.

Suggestion for the improvement of the award are welcome, please join the Salen-ga Society.

## 55 comments:

As you know, there's an agreement to create an umbrella organization uniting all the forces against GMA. it's called "bukluran para sa katotohanan." we'd like to get the blogosphere involved by those of us who agree on the points of unity, to come out wthstatement of support on monday,m when the big, and final push for impeachment will begin. the points of unity are: 1. each is a truth seeker 2. gma must go because she does not have the trust of the people 3. we beleive in peaceful, democratic ways of solving this crisis.

let me know if you're interested in joining the common blog effort on monday.

I met Dr. Escultura when I was a consultant for the Clark Development Corporation in Clark Field, Pampanga in 1999. We became friends and have extensive discussion of his work, especially, when he visits Sydney. I followed his many posts and articles in several blogs, websites and forums, especially, Sci Math, Mathforge ISCI (International Society for Compexity, Information and Design). I even tried to read his original work, Exact solution of Fermat’s equations (Definitive resolution of Fermat’s last theorem (Nonlinear Studies, Vol. 5, No. 2, 1998) pp. 227 – 254). Last May when he visited Australia I asked him to summarize his work on Fermat’s last theorem. He agreed and sent me the article below.

I also inserted a statement regarding regarding number theory and inserted a correction to item 6).

MY STRATEGY FOR CAPTURING FLT.

I wondered why FLT remained unresolved for centuries and concluded that its underlying fields –foundations, number theory and the real number system – are defective. In particular, number theory is flawed because its subject matter, the integers have no valid axiomatization. Therefore, I embarked on their critique-rectification that yielded the following:

1) There are sources of contradiction in mathematics including ambiguous and vacuous concepts, large and small numbers (depending on context), unbounded or infinite set and self-reference. Here is an example of vacuous concept: A triquadrilateral is a plane figure with three vertices and four edges. The Richard paradox is an example of self-reference: The barber of Seville shaves those and only those who do not shave themselves; who shaves the barber? Incidentally, the indirect proof is flawed, being self-referent.

2) Among the requirements for a contradiction-free mathematical space are the following:

a) It must be well-defined by consistent axioms and every concept must be well-defined by them. A concept is well-defined if its existence, properties and relationship with other concepts are specified by the axioms. A false proposition cannot be an axiom as it introduces inconsistency. For example, this proposition cannot be used as an axiom of any mathematical space: There exists a triangle with four edges.

b) The rules of inference (mathematical reasoning) must be specific to and well-defined by its axioms.

c) Any proposition involving the universal or existential quantifiers on infinite set is not verifiable and, therefore, cannot be used as an axiom for it would not endow certainty to the conclusion of a theorem.

3) The real number system does not satisfy the requirements for a contradiction-free mathematical space. In particular, the trichotomy axiom is false since it is equivalent to natural ordering which the real number system has none because most of its concepts are ill-defined. Therefore, the real number system is ill-defined or nonsense and FLT being fomulated in it is also nonsense. Consequently, to resolve FLT the real number system must be fixed first and FLT must be reformulated in it. Andrew Wiles failed to do this and his work collapses althogether.

4) It is alright to introduce ambiguity provided it is 'approximable" by certainty. For example, a nonterminating decimal is ambiguous since not all its digits are known but it can be approximated by a segment at the nth decimal digit at margin of error 10^-n.

5) The rectification is to build a new real number system R* with three simple axioms and two operations + and x: 1) R* contains the basic integers 0, 1, ..., 9, and the operations + and x are well-defined by 2) the addition and 3) multiplication tables of arithmetic that we learned in primary school. The rest of the elements of R* are the terminating decimals first which are later extended to the nonterminating decimals.

A new real number is well-defined if every digit is known or computable, i.e., there is some rule or algorithm for determining it uniquely.

6) The new elements of the new real number system are the dark number d* = 1 – 0.99… - N – (N–1), N = 0, 1, … (the ordinary integers), and u* the equivalence class of divergent sequences. The integers are mapped into the decimal parts of the decimals; this is the needed rectification to number theory. Then the integers are embedded in R* by the mapping 0 – > d*, N – > (N–1).99…, the new integers, to well-define them. The well-defined real numbers are embedded in R* as terminating decimals (note that the well-defined real numbers are the terminating decimals. Nonterminating decimals cannot be added or multiplied because the operations + and x require the last element to carry out. In R* the nonterminating decimals are well-defined Cauchy sequences and the operations + and x are well-defined accordingly.

7) Then the counterexamples to FLT are as follows: Let x = (0.99...)10^T, y = d*, z = 10^T, where T is an ordinary integer, T = 1, 2, ... Then x, y, z satisfy Fermat's equation, for n > 2,

x^n + y^n = z^10.

Moreover, if k = 1, 2, ..., is ordinary integer, kx, ky, kz also satisfy Fermat's equation. They are the counterexamples to FLT. They prove that FLT is false and Wiles is wrong.

The critique-rectification of the underlying fields of FLT, the construction of the counterexamples and applications of this new methodology, especially in physics, are developed in the following articles in renowned refereed international journals and conference proceedings:

[18] Escultura, E. E. (1996) Probabilistic mathematics and applications to dynamic systems including Fermat's last theorem, Proc. 2nd International Conference on Dynamic Systems and Applications, Dynamic Publishers, Inc., Atlanta, 147 – 152.

[19] Escultura, E. E. (1997) The flux theory of gravitation (FTG) I. The solution of the gravitational n-body problem, Nonlinear Analysis, 30(Cool, 5021 – 5032.

[20] Escultura, E. E. (1998) FTG VII. Exact solutions of Fermat's equation (Definitive resolution of

Fermat's last theorem, J. Nonlinear Studies, 5(2), 227 – 254.

[21] Escultura, E. E. (1999) VIII. Superstring loop dynamics and applications to astronomy and biology, J. Nonlinear Analysis, 35(Cool, 259 – 285.

[22] Escultura, E. E. (1999) FTG II. Recent verification and applications, Proc. 2rd International Conf.: Tools for Mathematical Modeling, St. Petersburg, vol. 4, 74 – 89.

[23] Escultura, E. E. (2000) FTG IX. Set-valued differential equations and applications to quantum gravity, Mathematical Research, Vol. 6, 2000, St. Petersburg, 58 – 69.

[24] Escultura, E. E. (2001) FTG X. From macro to quantum gravity, J. Problems of Nonlinear Analysis in Engineering Systems, 7(1), 56 – 78.

[25] Escultura, E. E. (2001) FTG XI. Quantum gravity, Proc. 3rd International Conference on Dynamic Systems and Applications, Atlanta, 201 – 208.

[26] Escultura, E. E. (2001) FTG. XII. Turbulence: theory, verification and applications, J. Nonlinear Analysis, 47(2001), 5955 – 5966.

[27] Escultura, E. E. (2001) FTG III: Vortex Interactions, J. Problems of Nonlinear Analysis in Engineering Systems, Vol. 7(2), 30 – 44.

[28] Escultura, E. E. (2001) FTG IV. Chaos, turbulence and fractal, Indian J. Pure and Applied Mathematics, 32(10), 1539 – 1551.

[29] Escultura, E. E. (2002) FTG V. The mathematics of the new physics, J. Applied Mathematics and Computations, 130(1), 145 – 169.

[30] Escultura, E. E. (2003) FTG VI. The theory of intelligence and evolution, Indian J. Pure and Applied Mathematics, 33(1), 111 – 129.

[31] Escultura, E. E. (2003) FTG XVII: The new mathematics and physics, J. Applied Mathematics and Computation, 138(1), 127 – 149.

[32] Escultura, E. E. (2003) FTG XVIII. Macro and quantum gravity and the dynamics of cosmic waves, J. Applied Mathematics and Computation, 139(1), 23 – 36.

[33] Escultura, E. E. (2001) FTG. XIV. The mathematics of chaos, turbulence, fractal and tornado breaker, deflector and aborter, Proc. Symposium on Development through Basic Research, National Research Council of the Philippines, University of the Philippines, 1 – 13.

[34] Escultura, E. E. FTG XIX. Recent results, new inventions and the new cosmology, accepted, J. Problems of Nonlinear Analysis in Engineering System.

[35] Escultura, E. E. FTG XV. The new nonstandard analysis and the intuitive calculus, submitted.

[36] Escultura, E. E. (2002) FTG VI. The philosophical and mathematical foundations of FLT’s resolution, rectification and extension of underlying fields and applications, accepted, J. Nonlinear Differential Equations.

[37] Escultura, E. E. (2002) FTG XXII. Extending the reach of computation, submitted.

[38] Escultura, E. E. (2003) The theory of learning and implications for Math-Science Education, submitted.

[39] Escultura, E. E. (2003) FTG XXIII. The complex plane revisited, accepted, Journal of Nonlinear Differential Equations.

[40] Escultura, E. E. (2002) FTG XXIV. Columbia: the crossroads for science, accepted, J. Nonlinear Differential Equations.

[41] Escultura, E. E. (2003) FTG XXV. Dynamic Modeling and Applications, Proc. 3rd International Conference on Tools for Mathematical Modeling, State Technical University of St. Petersburg, St. Petersburg.

[42] Escultura, E. E. (2004) FRG XXVII – XXVIII. Part I. The new frontiers of mathematics and physics. Part I. Theoretical Construction and Resolution of Issues, Problems and Unanswered Questions.

[43] Escultura, E. E. (2005) FRG XXVII – XXVIII. The new frontiers of mathematics and physics. Part II. The new real number system: Introduction to the new nonstandard analysis, Nonlinear Analysis and Phenomena, II(1), January, 15 – 30.

[44] Escultura, E. E. (2005) FTG XXVI. Dynamic Modeling of Chaos and Turbulence, Proc. 4th World Congress of Nonlinear Analysts, Orlando, June 30 – July 7, 2004.

[45] Escultura, E. E. FTG. XXVII (2005). The theory of everything, Nonlinear Analysis and Phenomena, II(2), 1 – 45.

[46] Escultura, E. E. Escultura (2006) FTG XXXIV. Foundations of Analysis and the New Arithmetic,

Nonlinear Analysis and Phenomena, January 2006.

[47} Escultura, E. E. FTG XXXV (2006) The Pillars of FTG and some updates, Nonlinear Analysis and Phenomena, III(2), 1 – 22.

[48] Escultura, E. E. FTG XXXVI (2006) The New Nonstandard Calculus, accepted, Nonlinear Analysis.

For more info see my website: http://home.iprimus.com.au/pidro/

E. E. Escultura

Correction: Fermat's equation should be,

x^n + y^n = z^n, n > 2, and the counterexamples are:

x = (0.99...)10^T, y = d*, z = 10^T, where T is an ordinary integer, T = 1, 2, ..., d* = 1 - 0.99... = N - (N - 1).99... Then x, y, z satisfy

Fermat's equation, for n > 2, x^n + y^n = z^n. Moreover, the triple kx, ky, kz, k = 1, 2, ..., also satisfy Fermat's equation.

E. E. Escultura

WHAT IS THE TAKE ON FLT?

Since 1997 my work in Math and Physics, especially, FLT, has been widely discussed and debated across the Internet in various fora, websites and newsgroups. In the math forum Sci Math I have several threads on topics related to FLT. One of the earliest was the thread, Is 1 = 0.99…? This alone generated about 700 posts and has been resolved in my favour. Since January I posted in Sci Math the thread, Contradiction-Free Mathematical Space, The Adics and Other Nonsense, My Strategy for Capturing the Basic Constituent of Matter and The State-of-the-Art in Mathematics. The first thread alone generated 153 posts and all of them were resolved in my favour. They are all quiet now and consigned to the archives with me having the last words. All threads in Sci Math since 1997 have generated over 2,000 posts. I also have several threads in Mathforge that generated about 700 posts and another in ISCID (International Society for Complexity, Information and Design), New Approach to Physics, covering 5 pages. Now, all is quiet not just in the Western Front but in all Fronts for these threads and websites because the issues have all been resolved in my favour with me having the last words.

When the Manila Times carried the news story, UP Prof Proves Princeton Man Wrong, Blogs and threads sprouted like mushrooms attacking my work as a hoax, calling me names and chastising me for taking the Manila Times for a ride. None of them knew the issues involved and they all blurted nonsense all along. Unfortunately, I knew about them only last April. Now that I have responded to them, except the “monologues” or blogs that disallow posts of contrary opinions, they are also quiet now. But their booh-boohs have come home to roost and one of the bloggers, Alex of pcij, after having slandered me for over a year, cried, “moTHERRRR…….!!!!!” and threatened to sue me for slander. I told him to send the subpoena soon so that I can tell it to the Marines. His threat is posted on my Message Board at http://home.iprimus.com.au/pidro/ .

But here is the rub:

After more than 9 years of discussion and debate NOT A SINGLE HOLE HAS BEEN PUNCH ON MY WORK. A blog reported that my name ranks 4th in successful searches next to the mathematician Euler and followed by analyst Danzig, a poor 5th, with my share of 1.7%. On top of these, neither Andrew Wiles nor his three supporters, Ribet of UC Berkeley, Mazur of Harvard and Saranak of Princeton, refuted my criticisms of Wiles’ work or challenged my counterexamples to FLT to prove it false and Wiles wrong.

Where, oh, where art thou smart guys from the UP Math Department? Enliven this blog and debate with me. You don’t have to identify yourself if you are embarrassed by your own feeble ideas and empty publication list.

E. E. Escultura

For the benefit of the doubting Thomases, here is an aspirin:

The ScienceDirect TOP25 Hottest Articles is a free quarterly service from ScienceDirect. When you subscribe to the ScienceDirect TOP25, you'll receive an e-mail every three months listing the ScienceDirect users' 25 most frequently downloaded journal articles, from any selected journal among more than 2,000 titles in the ScienceDirect database, or from any of 24 subject areas.

TOP25 articles within the journal:

Nonlinear Analysis

OCT - DEC 2005

1. Initial value problems for higher-order fuzzy differential equations • Article

Nonlinear Analysis, Volume 63, Issue 4, 1 November 2005, Pages 587-600

Georgiou, D.N.; Nieto, J.J.; Rodriguez-Lopez, R.

2. Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces • Article

Nonlinear Analysis, Volume 64, Issue 3, 1 February 2006, Pages 558-567

Shahzad, N.; Udomene, A.

3. Variational approach to nonlinear problems and a review on mathematical model of electrospinning • Article

Nonlinear Analysis, Volume 63, Issue 5-7, 1 November 2005, Pages e919-e929

He, J.-H.; Liu, H.-M.

4. Approximation of common fixed points for a family of finite nonexpansive mappings in Banach space • Article

Nonlinear Analysis, Volume 63, Issue 5-7, 1 November 2005, Pages 987-999

Wu, D.; Chang, S.-S.; Yuan, G.X.

5. Nonlinear differential equations with nonlocal conditions in Banach spaces • Article

Nonlinear Analysis, Volume 63, Issue 4, 1 November 2005, Pages 575-586

Xue, X.

6. A survey on piecewise-linear models of regulatory dynamical systems • Article

Nonlinear Analysis, Volume 63, Issue 3, 1 November 2005, Pages 336-349

Oktem, H.

7. Fixed point theorems in metric spaces • Article

Nonlinear Analysis, Volume 64, Issue 3, 1 February 2006, Pages 546-557

Proinov, P.D.

8. Dynamic modeling of chaos and turbulence • Article

Nonlinear Analysis, Volume 63, Issue 5-7, 1 November 2005, Pages e519-e532

Escultura, E.E.

9. Existence result for periodic solutions of a class of Hamiltonian systems with super quadratic potential • Article

Nonlinear Analysis, Volume 63, Issue 4, 1 November 2005, Pages 565-574

Karshima Shilgba, L.K.

10. Multiple positive solutions of a boundary value problem for nth-order impulsive integro-differential equations in Banach spaces • Article

Nonlinear Analysis, Volume 63, Issue 4, 1 November 2005, Pages 618-641

Guo, D.

11. Fixed points of uniformly lipschitzian mappings • Article

Nonlinear Analysis

Dhompongsa, S.; Kirk, W.A.; Sims, B.

12. High regularity of the solutions of the telegraph system subjected to nonlinear boundary conditions • Article

Nonlinear Analysis, Volume 63, Issue 4, 1 November 2005, Pages 491-512

Apreutesei, N.

13. Viscosity approximation methods for a family of finite nonexpansive mappings in Banach spaces • Article

Nonlinear Analysis

Jung, J.S.

14. New modelling approach concerning integrated disease control and cost-effectivity • Article

Nonlinear Analysis, Volume 63, Issue 3, 1 November 2005, Pages 439-471

Tang, S.; Xiao, Y.; Clancy, D.

15. Existence and approximation of solutions of second-order nonlinear four point boundary value problems • Article

Nonlinear Analysis, Volume 63, Issue 8, 1 December 2005, Pages 1094-1115

Khan, R.A.; Lopez, R.R.

16. Autonomous steering control for electric vehicles using nonlinear state feedback H"~ control • Article

Nonlinear Analysis, Volume 63, Issue 5-7, 1 November 2005, Pages e2257-e2268

Moriwaki, K.

17. A Petri net-based object-oriented approach for the modelling of hybrid productive systems • Article

Nonlinear Analysis, Volume 62, Issue 8, 1 September 2005, Pages 1394-1418

Villani, E.; Pascal, J.C.; Miyagi, P.E.; Valette, R.

18. Existence and uniqueness of a wavefront in a delayed hyperbolic-parabolic model • Article

Nonlinear Analysis, Volume 63, Issue 3, 1 November 2005, Pages 364-387

Ou, C.; Wu, J.

19. Positive solutions of second-order two-delay differential systems with twin-parameter • Article

Nonlinear Analysis, Volume 63, Issue 4, 1 November 2005, Pages 601-617

Bai, D.; Xu, Y.

20. Multiple positive and sign-changing solutions for a singular Schrodinger equation with critical growth • Article

Nonlinear Analysis, Volume 64, Issue 3, 1 February 2006, Pages 381-400

Chen, J.

21. Strong convergence of the CQ method for fixed point iteration processes • Article

Nonlinear Analysis

Martinez-Yanes, C.; Xu, H.-K.

22. Nonlinear analysis of arterial blood flow-steady streaming effect • Article

Nonlinear Analysis, Volume 63, Issue 5-7, 1 November 2005, Pages 880-890

Jayaraman, G.; Sarkar, A.

23. Existence and exponential stability of periodic solution for impulsive delay differential equations and applications • Article

Nonlinear Analysis, Volume 64, Issue 1, 1 January 2006, Pages 130-145

Yang, Z.; Xu, D.

24. Uniqueness results for nonlinear elliptic equations with a lower order term • Article

Nonlinear Analysis, Volume 63, Issue 2, 1 October 2005, Pages 153-170

Betta, M.F.; Mercaldo, A.; Murat, F.; Porzio, M.M.

25. Positive solutions of a second-order singular ordinary differential equation • Article

Nonlinear Analysis, Volume 61, Issue 8, 1 June 2005, Pages 1383-1399

Bonheure, D.; Gomes, J.M.; Sanchez, L.

View this website at: http://top25.sciencedirect.com/index.php?subject_area_id=16&journal_id=0362546X

Paper No. 8, Dynamic Modelling of Chaos and Turbulence, presented by the author at a plenary session of the 4th World Congress of Nonlinear Analysts, Orlando, FL, July 5, 2004, provides, for the first time, the most comprehensive explanation of gravity as part of the dynamics of turbulence, specifically, vortex flux of superstrings (the superstring is the basic constituent of matter), such as galaxy, star, planet and moon (note their spins as vortices). Dynamic modelling (an off-shoot of the resolution of FLT), the new methodology introduced by the author as an alternative to the present methodology of physics called mathematical modelling (that describes nature in terms of numbers, equations, functions, etc.) explains nature in terms of its laws. To-date 43 laws of nature have been discovered using this new methodology.

E. E. Escultura

Actually, Salen-ga is partly correct. There is such a thing as a positive electron and they are called "positrons". This idea is scientifically accepted and was the basis for the discovery of the anti-matter. The idea of Positrons have been postulated since 1928 by Paul Dirac and its existence was confirmed by Carl D. Anderson in 1932 and aptly named it the Positron. Today, Positrons are routinely produced in positron emission tomography (PET) scanners used in hospitals and in accelerator physics laboratories used in electron-positron collider experiments.

So, it is just the generealization that the electron is positive that was wrong but, he was partly correct.

No, im not a member of the Salen-ga society but i am a crack-pot that likes to challenge scientific and religious dogma.

Remember that crack-pots were the major discoverers of yesterday. So, the persecution still exists even today.

Think outside the box.

Challenging scientific dogma does not necessarily make you a crackpot, challenging scientific dogma without reason or proof makes you a crackpot.

IM ANGELITO SALENGA HIMSELF. MANY MATHEMATICIAN HATE ME FOR EXPOSING THE QUARK OR THE HOLY GRAIL OF MATHEMATICS. THE SALENGA-NEAN THEOREM-"THE TANGENT OF A STRAIGHT LINE TO A CIRCULAR ARCH IS >> MUCH GREATER THAN A SINGLE POINT." THIS MATHEMATICAL PYTHAGOREAN EQUIVALENT STATEMENT WAS LABELLED TOP SECRET BY THE NATIONAL SECURITY AGENCY OF AMERICA FOR POSSIBLE INTEL POTENTIAL SO I HAD TO WAIT FOR SO LONG TO SECURE A U.S.LIBRARY OF CONGRESS DEPOSIT OF DOCUMENTATION. MY THEOREM MATHEMATICALLY CHANGES THE MEANING IN THE DICTIONARY OF THE MEANING OF THE TERM "CIRCLE".CIRCLE- A SERIES OF VERY SHORT STRAIGHT LINES WHOSE TWO ENDS MEET WITH A COMMON EQUADISTANT RADIUS AS THE CENTER OF ITS PERIMETER.THE METAPHYSICAL MEANING IS THAT THE SEA WATER LEVEL HORIZON AND THE STREETS OF THE GLOBALLY ROUND EARTH IS LOCALLY FLAT!!!! YES ITS THE HOLY GRAIL OF THE 1ST CLASSIC EUCLIDIAN NON MANDELBROT SET FRACTAL!!!. I ALSO DISCOVERD THAT THE POSITRON IS NEGATIVE AND THE NEGATRON IS POSITIVE. ALESSANDRO VOLTA THE INVENTOR OF THE IST WET CELL BATTERY MADE A MISTAKE IN LABELING THE STANDARD ISO RECOGNIZED INK BATTERY LABELS. THE ELECTRON THEORY IS DEAD. THE SUBJECTIVE SIGN OF THE ATOMIC BHOR MODEL HAS BEEN OVERTHROWN!!! THE NUCLEUS HAS THE NEGATIVE LABEL THE GENIUS BEHIND ME IS THE LORD YHWH. I AM THE GODSEND OR PROPHET WHO FULFILLED ISAIAH 29:14-16 WRERE GOD PROMISED THAT HE WILL DESTROY THE WIZDOM OF THE LEARNED!!!

i am salenga himself. i have discovered that there is no such thing as VISIBLE LIGHT. OUTER SPACE WC IS A VACUUM CANNOT REFLECT LIGHT. LIGHT WHILE IT HAS YET TO STRIKE AN OBJECT IN SPACE IS INVISIBLE BECAUSE THE LIGHT FLOODED VACUUM OF OUTER SPACE REMAINS BLACK. THERE IS NO SUCH THING AS VISIBLE LIGHT.

SALENGA IM ONE OF YOUR ARDENT ADMIRERS. HOW MAY WE REACH YOU?

SALENGA IKAW NA BI SI SALEN-GALILEO at si KJEANO REEVES SALENGA?

I WOULD LIKE TO IMPLORE YOUR HLP RELIGIOUS PEOPLE WHO BELIEVE IN GOD. GOD EMBARRASSED D SCIENCECOMMUNITY FOR A VERY IMPORTANT REASON. LOSS OF BELIEF IN HIM MEANS A MUCH MORE CHAOTIC END OF D WORLD.

THE SALENGA PHYSICS LAW ON CURRENT ELECTIC CURRENT DIRECTION DIRECTION:

STATEMENT-"A POINT OF INTEREST IN ANY CLOSED CIRCUIT IS POSITIVE AND NEGATIVE AT THE SAME TIME. THE POINT OF INTEREST IS POSITIVE TO A CURRENT FLOWING TOWARDS THE POINT AND IS NEGATIVE TO A CURRENT FLOWING AWAY FROM IT." SUPPORTING PHYSICS LAWS:

1.LAW OF CHAGE ATTRACTION AND REPULSION

2.LAW OF CHARGE CONSERVATION

3.THE QUANTUM ANTI LOGIC LAW OF THE INCLUDED MIDDLE

3.HENRI POINCARE'S PRINCIPLE OF RELATIVITY OF SIMULTANEITY.

ALTHOUGH IM NOT A CELEBRITY BUT ONLY A TRYING HARD FOR THE GLORY OF GOD, IM WARY OF STALKERS WHO COULD NOT FIND A FEELING OF IMPORTANCE OTHER THAN A MORBID DESIRE TO DESTROY OR KILL SOMEONE WITH A NOTED ACCOMPLISHMENT LIKE ME. IF D SCIENCE COMMUNITY IS NOT EMBARRASSED ACCORDING TO ISAIAH 29:14 MILLIONS OF PE0PLE WILL LOSE BELIEF IN GOD AND COINCIDE WITH THE THE GREAT TRIBULATION, PRODUCING MILLIONS OF THIEVES, ADULTERERS BOTH MALE AND FEMALE AND OTHER SINNERS,AND ADD TO THE CHAOS IN THE "END OF DAYS" OR DAY OF JUDGEMENT WHICH HAS BEGAN WITH THE ECONOMIC MELTDOWN OF THE WORLD'S ECONOMY. PLEASE HELP ME SPREAD THESE TRUTHS.

Ako si Patrick Co at kilala ko yang si Salen-ga. usa yang SIRAULO na pumupunta sa brahma kumaris at nakikikain duon. Tapos nakikipagdebate sa mga teacher duon hanggang sa mabwiset ang mge tao ruon. YUCK!!! KAPAL NG MUKHA NG BAKULAW!!! palaging me dalang bag yun at visual aids na malamang pinulot lang sa BASURAHAN. KADIRI!! totoong panglan nya ay Angelito "BUANG" Salenga. naabutan ko yang nagsusulat sa mga dingding. Kung me makakita kay SAlenga, pakiforward sa akin ang number nya My cell number is 09272950302 Thanks

HELLO PATRIC CO NAALALA KO NOONG ARAW GALIT NA GALIT KA SA AKIN AT DI MO KO TINIGILAN NG KA TE TXT. AT BINALIGTAD MO PA HA. AKO PA KAMO ANG PESTERING YOU. NOONG MAKITA KITA AY PARA KANG BABOY NA HALAHALA NA TINAMAAN NG RESTON EBOLA VIRUS. NANDITO NA AKO SA U.S.A. PERO ASAR INGET AT ASAR TALO KA PA RIN. TALAGANG MERON KANG LAHI NI SATANAS. YOU HAVE D SERPENT SEED. THAT IS WHY UNRELENTING KA SA PANG AASAR SA AKIN.PATRIC CO IS THE MAN WHO PUT MY CELL NO.IN D FREE ADS NEWS PAPER TO GET MY CELL FLOODED WT APPLICATIONS FOR VETERINARY CLINIC SECRETARY. I WAS ONE OF D 1ST USER OF D NEW 1GIG MEMORY THEN BUT THE POOR LITTLE STUPID PIG DOESNT EVEN KNOW OR HEARD OF THE TERM GIG. HE IS BY D WAY A VETERINARIAN. UNSCRUPULOUS,EVIL AND WANTS TO GO INTO HISTORY AT MY EXPENSE. YOU BELONG TO THE REALM OF YOUR FATHER SATAN.ROAST IN HELL DEVIL PIG. AAAAHAHAHAHAHA.ANG TABA MO SINGKIT NA BABOY. AAAAAAHAHAHAHAHAHIHIHIHIHIHI. PH LANG SA CHEMISTRY ITANONG MO MEANING NG pH HINDI NYA ALAM. GAGO NA YAN BOBO PA. ANG TANGA.

alam ko yang gimmick ni Salenga, isa lang yang BOBOng umaakyat sa mga bus . KULANG SA PANSIN yang si SAlenga, kaya nga ^) years old na yan pero WALANG BINATBAT pa rin sa buhay. pumapasok yan sa mga bus, jeep at LRT, at kunwari me kausap sa cellphone. ang kausap sarili lang nya.. wal namang me tiyagang kumausap dyan eh... 60 YEAR OLD VIRGIN!! PWE!!!

Patric Co is my friend and inspiration. And he is not the son of SATAN. He is the SON of GOD.

That's because he loves GOD and has accepted GOD's LOVE...

Salenga on the other hand, is a PHEDOPHILE and a RAPIST... HE RAPED my DOG and my VOLSWAGEN BEETLE when He he was young...

Now, however, he is so OLD AND UGLY... THAT"S PERHAPS the REASON WHY he has not gotten LAID yet and THAT;s why he has CRAZY IDEAS...

THE ELECTRON IS NOT POSITIVE - SALENGAS FACE IS THE ELECTRON...

CORRECTION----

SALENGA"S FACE IS SO HORRIBLE BECAUSE OF ELECTRON SHOCK THERAPY...

THANK YOU QUEZON CITY INTITUTE FOR THE MENTALLY RETAREDED...

WHen you die, your mother should sell your body to the U.P. College of MEDICINE...

HAHAHAHA...

STOP IMPERSONATING AS BLUBBER MIKE CRAZY VETERINARIAN. WHY NOT ADMIT TO YOURSELF I DISCOVERED IT ALL BECAUSE GOD KNOWS IM HIS FOLLOWER. YOU REALLY ARE ONE HELL OF A CRAZY STALKER. I SEE HOW SATAN WORKS THROUGH A DEVIL PIG LIKE YOU. AAAAAAHAHAHAHAHA.THETIC NOT COCONUT CASE SHOULD BE YOUR NAME. PAT THETICOCO NUTCASE.

SALEN-GA IS THE 60 YEAR OLD VIRGIN!!! HAHAHAHA

SI SALENGA SIRAULONG ABNOY!!!! HAHAHAHAHA

SI SALENGA SUPOT NA PATAY GUTOM HAHAHAHAHA

SI SALENGA TAMBAY SA KANTO NA ANAK NG POKPOK NA ILANGBESES PINAGPASAASAAN NG 50 LALAKE KAYA NAGKAGANYAN SYA HAHAHAHA

Guys and members of the Salenga Society... Check Salengas new BLOG at Salengashrine.blogspot.com.

Nagladlad na si Salenga. Pictures of Salenga himself. Watch him lambast all of you with hi CRACKPOT theories and praises. Wow!

I surfed the net and luckily found it in another blog. Its a must see.

Salenga should be apointed as the SERETARY of the DEPARTMENT of SCIENCE AND TECHNOLOGY! He Rules!

Although I truly abhor Salenga's STYLE, FACE and SMELL and VOMIT upon hearing his name - I have to admit that I agree with at least one of his arguments. (SALENGA did not DISCOVER this since he has not PROVEN it QUANTITATIVELY yet.)

"THERE IS NO SUCH THING AS VISIBLE LIGHT. OUTER SPACE WC IS A VACUUM CANNOT REFLECT LIGHT. LIGHT WHILE IT HAS YET TO STRIKE AN OBJECT IN SPACE IS INVISIBLE BECAUSE THE LIGHT FLOODED VACUUM OF OUTER SPACE REMAINS BLACK. THERE IS NO SUCH THING AS VISIBLE LIGHT."

Light in the vacuum of space is truly invisible. It only becomes visible when it hits an object in space. (ESPCIALLY when it hits a large object with a great

gravitational force)

Don't believe me?

Look up GRAVITATIONAL MICROLENSING in WIKIPEDIA and you will at least have an idea of what I am talking about.

GRAVITATIONAL MICROLENSING is a technique used by scientists to DETECT and LOCATE GRAVITY WELLS or what many call BLACKHOLES in space.

Upon contact with light, supposedly INVISIBLE and UNDETECTIBLE black holes can be viewed even here on earth.

I am NOT a SCIENTIST like SALENGA and many members of this BLOG, and people often call me STUPID.

But I do have COMMON SENSE and a photgraphic memory. Aso I watch the DISCOVERY channel everyday.

So, please give Salenga a BREAK. And tolerate his almost unbearable smell and ugly face.

As for you Salenga, listen to my advice. If you truly want to be respected and if you not want people to ignore and insult you -

START ACTING LIKE AN ADULT!

STOP BLABBERING YOUR THEORIES AND PROVE THEM ONCE AND FOR ALL WITH QUANTITAVE PROOF!

PROVE THEM ALL WRONG DUDE! AND BECOME THE SCIENTIST YOU TRULY WANT TO BE!

GOOD LUCK!

Salenga debe ser el Presidente de Filipinas, ya que algÃºn dÃa tiene sentido.

DespuÃ©s de todo, el Gobierno de Filipinas no tiene sentido, si bien es supuestamente gestionados por profesionales aprendido!

MR.XXX. THE REFRACTION AND REFLECTION INDEX OF LIGHT IN A VACUUM IS ZERO. HOW CAN YOU EXPECT ME IF YOU ARE NOT TRULY STUPID AS YOU SAY YOU ARE TO QUANTIFY ZERO?I DID NOT CHALLENGE EVERY ONE TO FIND THE MEANING OF pH. ONLY THE DEVIL PIG WHO FULFILLED THE WORDS OF THE CHRIST THAT ALL WHO WILL NOT BE SAVED WILL INSULT ALL PROPHETS SENT BY GOD. IF I WAS BORN IN GALLILEO'S TIME, IT LOOKS AS IF YOU WANT TO BURN ME AT PLAZA MIRANDA. JESUS SAID "IF THEY CAN DO THIS TO ME THEY WILL ALSO DO ALL KINDS OF UNSPEAKABLE(ONLY THE DEVIL SHALL SAY SUCH)THINGS TO YOU BECAUSE I AM YOUR MASTER"

Okkay you have a point. However, your blog is still truly a masterpiece. Also your face.

SALENGA, PURO KA WRONG GRAMMAR HAHAHAHAHA.... WRONG GRAMMAR. WRONG SPELLING PA.. PROFESSOR KA SA SAMSON UNIVERSITY HAHAHAHA

FOR THAT MR.MR.XXX. YOU SHOULD HAVE SEEN D MOVIES " PITCH BLACK & "THE CHRONICLES OF RIDDICK" SO YOU WONT HAVE TO INSULT ME IN ORDER TO BRING OUT THE EQUATIONS OF A CLOAKING DEVICE THEORY OF LIGHT. THE NSA TOOK INTEREST AND THE AMERICANS ARE ALREADY AT IT. WHO ARE YOU WORKING FOR CHENG PAO CHINESE INTELLIGENCE? I AM WELL GUARDED, SORRY. THANK YOU FOR ADMITTING YOU ARE STUPID MR.XXX.

FOR THAT MR.MR.XXX. YOU SHOULD HAVE SEEN D MOVIES "PITCH BLACK" & "THE CHRONICLES OF RIDDICK" SO YOU WONT HAVE TO INSULT ME IN ORDER TO BRING OUT THE EQUATIONS OF A CLOAKING DEVICE THEORY OF LIGHT. THE NSA TOOK INTEREST AND THE AMERICANS ARE ALREADY AT IT. WHO ARE YOU WORKING FOR CHENG PAO, CHINESE INTELLIGENCE? I AM WELL GUARDED, SORRY. THANK YOU FOR ADMITTING YOU ARE STUPID MR.XXX.

YES... I am stupid.. but at least i am not ugly like you.

My Stupidity can be fixed through stufying. YOur ugly face cannot be fixed even with plastic surgery.

question" do you even have the money for plastic surgery? do you have a job? co'z you sound ugly and jobless.

http://salengashrine.blogspot.com

I ALREADY HAVE SAID MY PIECE IN THIS THREAD AND I LOVE THE ADULATION YOU ARE WASTING ON ME BECAUSE YOU WERE INSULTED FOR NOT NOTICING THE OBVIOUS AS GOD WANTED, JUST LIKE ALL THE OTHERS. KEEP UP THE GOOD WORK. DONT YOU KNOW THAT WITHOUT DETRACTORS AND BETRAYERS THE SCRIPTURES IN THE HOLY BIBLE WILL NOT BE FULFILLED??? POWER ME WT YOUR HATE. I WILL BE IN THE GUINNESS BOOK OF WORLD RECORDS DESPITE THE NEWSBLACKOUT MADE BY MEDIA DEPRIVING ME THE RIGHT TO REPLY, AND ALL OF YOU WILL BE ON THE DARK SIDE OF THE FORCE. I AM A JESUS DIEHARD(JEDI)FOR SHORT. GO TO THE REALM OF YOUR SITH BAAL (LORD SITH)WHO SAT-AN-ASS ON GOD'S THRONE MENTALLY. AAAAAHHHHHHHHHAHAHAHAHA

to salenga...

what is your ambition in life mr. angelito salenga? do you have a family mr. angelito salenga? do you love them? what about people that surrounds you? do they hate you? I know you believe in God. I know you love Him. But why using the words of God in the bible alarming your enemies? God don't do that. God love His enemies. All are equal. Show me that you love your enemies mr. angelito salenga...

WHEN MOSES CAUGHT THE ISRAELITES WT A GOLDEN CALF WHICH THEY FORCED UPON AARON, MOSES TOLD THEM TO CHOOSE THEIR GOD. HE THEN TOLD THE ONES WHO HAVE CHOSEN YAHWEH TO KILL ALL THE ISRAELITES WHO CHOSE THE GOLDEN CALF,LIKE THE WAY HE COMMANDED THEIR FOREFATHERS TO KILL ALL THE WORSHIPERS OF BAAL DOWN TO THE INNOCENT INFANTS. BUT JESUS IN HIS MINISTRY SAID LOVE YOUR PERSONAL ENEMIES, MEANING YOU STILL HAVE THE COMMANDMENT OF GOD TO KILL GOD'S ENEMIES.DID YOU UNDERSTAND THE DIFFERENCE BETWEEN YOUR'S AND GOD'S ENEMY?

WHEN MOSES CAUGHT THE ISRAELITES WT A GOLDEN CALF WHICH THEY FORCED UPON AARON, MOSES TOLD THEM TO CHOOSE THEIR GOD. HE THEN TOLD THE ONES WHO HAVE CHOSEN YAHWEH TO KILL ALL THE ISRAELITES WHO CHOSE THE GOLDEN CALF,LIKE THE WAY HE COMMANDED THEIR FOREFATHERS TO KILL ALL THE WORSHIPERS OF BAAL DOWN TO THE INNOCENT INFANTS. BUT JESUS IN HIS MINISTRY SAID LOVE YOUR PERSONAL ENEMIES, MEANING YOU STILL HAVE THE COMMANDMENT OF GOD TO KILL GOD'S ENEMIES.DID YOU UNDERSTAND THE DIFFERENCE BETWEEN YOUR'S AND GOD'S ENEMY?

PLEASE, IF YOU ARE NOT SPIRITUALLY ENLIGTHTENED; DONT MAKE STATEMENTS OR ASK QUESTIONS THAT WILL GET YOU EMBARRASSED, AND PLEASE NO PERSONAL QUESTIONS. AS A NABIH(HEBREW FOR PROPHET)IM NOT IMPORTANT. ONLY THE LORD'S MESSAGE IS IMPORTANT. WHAT IS IMPORTANT IS THAT WE OBEY GOD; LIKE THE WAY I EMBARRASSED ALL SCIENTISTS AND ALL THE MATHEMATICAL GENIUSES WORLDWIDE BEGINNING FROM EUCLID. GOD IS NOW INTERACTIVE BECAUSE THE SCIENCE COMMUNITY CLAIMS THAT GOD DOES NOT EXIST. WHOM HE LOVES, HE CHASTISES. HALLEL(PRASES)U YAH(TO GOD).

Summation of the Debate on the New Real Number System and the Resolution of Fermat’s last theorem – by E. E. Escultura

The debate started in 1997 with my post on the math forum SciMath that says 1 and 0.99… are distinct. This simple post unleashed an avalanche of opposition complete with expletives and name-calls that generated hundreds of threads of discussion and debate on the issue. The debate moved focus when I pointed out the two main defects of Andrew Wiles’ proof of FLT and, further on, the discussion shifted to the new real number system and the rationale for it. Naturally, the debate spilled over to many blogs and websites across the internet except narrow minded ones that accommodate only unanimous opinions, e.g., Widipedia and its family of websites, as well as websites that cannot stand contrary opinion like HaloScan and its sister website, Don’t Let Me Stop You. SciMath stands out as the best forum for discussion of various mathematical issues from different perspectives. There was one regular at SciMath who did not debate me online but through e-mail. We debated for about a year and I learned much from him. The few who only had expletives and name-calls to throw at me are nowhere to be heard from.

E. E. Escultura

There was one unsigned feeble attempt from the UP Mathematics Department to counter my arguments online. But it wilted without a response from the science community because it lacked grasp of what mathematics is all about.

The most recent credible challenge to my positions on these issues was registered by Bart van Donselaar in the online article, Edgar E. Escultura and the Inequality of 1 and 0.99…, to which I responded with the article, Reply to Bart van Donselaar’s article, Edgar E. Escultura and the inequality of 1 and 0.99…; a website on the Donselaar’s paper has been set up:

http://www.reddit.com/r/math/comments/93n3i/edgar_e_escultura_and_the_inequality_of_1_and/

and the discussion is coming to a close as no new issues are being raised. Needless to say, none of my criticisms of Wiles’ proof of FLT or my critique of the real and complex number systems have been challenged successfully on this website or across the internet. In peer reviewed publications there is not even a single attempt to refute my positions on these issues.

We highlight some of the most contentious issues of the debate.

1) Consider the equation 1 = 0.99… that almost everyone accepts. There are a number of defects here. Among the decimals only terminating decimals are well-defined. The rest are ill-defined or ambiguous. In this equation the left side is well-defined as the multiplicative identity element while the right side is ill-defined. The equation, therefore, is nonsense.

2) The second point is: David Hilbert already knew almost a century ago that the concepts of individual thought cannot be the subject matter of mathematics since they are unknown to others and, therefore, cannot be studied collectively, analyzed or axiomatized. Therefore, the subject matter of mathematics must be objects in the real world including symbols that everyone can look at, analyze and study collectively provided they are subject to consistent premises or axioms. Consistency of a mathematical system is important, otherwise, every conclusion drawn from it is contradicted by another. In order words, inconsistency collapses a mathematical system. Consider 1 and 0.99…; they are certainly distinct objects like apple and orange and to write apple = orange is simply nonsense.

E. E. Escukura

3) The field axioms of the real number system is inconsistent. Felix Brouwer and myself constructed counterexamples to the trichotomy axiom which means that it is false. Banach-Tarski constructed a contradiction to the axiom of choice, one of the field axioms. One version says that if a soft ball is sliced into suitably little pieces and rearranged without distortion they can be reconstituted into a ball the size of Earth. This is a topological contradiction in R^3.

4) Vacuous concept generally yields a contradiction. For example, consider this vacuous concept: the root of the equation x^2 + 1 = 0. That root has been denoted by i = sqrt(-1). The notation itself is a problem since sqrt is a well-defined operation in the real number system that applies only to perfect square. Certainly, -1 is not a perfect square. Mathematicians extended the operation to non-negative numbers. However, the counterexamples to the trichotomy axiom show at the same time that an irrational number cannot be represented by a sequence of rationals. In fact, a theorem in the paper, The new mathematics and physics, Applied Mathematics and Computation, 138(1), 127 – 149, says that the rationals and irrationals are separated, i.e., the union of disjoint open sets.

At any rate, if one is not convinced of the mischief that vacuous concept can play, consider this:

i .= sqrt(-1) = sqrt1/sqrt(-1) = 1/i = -i or i = 0. 1 = 0, and both the real and complex number systems collapse.

E. E. Escultura

5) With respect to Andrew Wiles’ proof of FLT it has two main defects: a) Since FLT is formulated in the inconsistent real number system it is nonsense and, naturally, the proof is also nonsense. The remedy is to first remove the inconsistency of the real number system which I did and reformulate FLT in the consistent number system, the new real number system. b) The use of complex analysis deals another fatal blow to Wiles’ proof. The remedy for complex analysis is in the appendix to the paper, The generalized integral as dual to Schwarz Distribution, in press, Nonlinear Studies.

6) By reconstructing the defective real number system into the contradiction-free new real number system and reformulating FLT in the latter, countably infinite counterexamples to it have been constructed showing the theorem false and Wiles wrong.

E. E. Escultura

7) In the course of making a critique of the real number system some new results have been found: a) Gauss diagonal method of proving the existence of nondenumerable set only generates a countably infinite set; b) as of this time there does not exist a nondenumerable set; c) only discrete set has cardinality, a continuum has none..

8) The new real number system is a continuum, countably infinite, non-Hausdorff and Non-Archimedean and the subset of decimals is also countably infinite but discrete, Hausdorff and Archimedean. The g-norm simplifies computation considerably.

Ee. E. Escultura

References

[1] Benacerraf, P. and Putnam, H. (1985) Philosophy of Mathematics, Cambridge University Press, Cambridge, 52 - 61.

[2] Brania, A., and Sambandham, M., Symbolic Dynamics of the Shift Map in R*, Proc. 5th International

Conference on Dynamic Systems and Applications, 5 (2008), 68–72.

[3] Escultura, E. E. (1997) Exact solutions of Fermat's equation (Definitive resolution of Fermat’s last theorem, 5(2), 227 – 2254.

[4] Escultura, E. E. (2002) The mathematics of the new physics, J. Applied Mathematics and Computations, 130(1), 145 – 169.

[5] Escultura, E. E. (2003) The new mathematics and physics, J. Applied Mathematics and Computation, 138(1), 127 – 149.

[6] Escultura, E. E., The new real number system and discrete computation and calculus, 17 (2009), 59 – 84.

[7] Escultura, E. E., Extending the reach of computation, Applied Mathematics Letters, Applied Mathematics Letters 21(10), 2007, 1074-1081.

[8] Escultura, E. E., The mathematics of the grand unified theory, in press, Nonlinear Analysis, Series A:

Theory, Methods and Applications; online at Science Direct website

[9] Escultura, E. E., The generalized integral as dual of Schwarz distribution, in press, Nonlinear Studies.

[10] Escultura, E. E., Revisiting the hybrid real number system, Nonlinear Analysis, Series C: Hybrid Systems, 3(2) May 2009, 101-107.

[11] Escultura, E. E., Lakshmikantham, V., and Leela, S., The Hybrid Grand Unified Theory, Atlantis (Elsevier Science, Ltd.), 2009, Paris.

[12] Counterexamples to Fermat’s last theorem, http://users.tpg.com.au/pidro/

[13] Kline, M., Mathematics: The Loss of Certainty, Cambridge University Press, 1985.

E. E. Escultura

Research Professor

V. Lakshmikantham Institute for Advanced Studies

GVP College of Engineering, JNT University

Madurawada, Vishakhapatnam, AP, India

http://users.tpg.com.au/pidro/

CLARIFICATION ON THE COUNTEREXAMPLES TO FERMAT’S LAST THEOREM

By E. E. Escultura

Although all issues related to the resolution of Fermat’s last theorem have been fully debated worldwide since 1997 and NOTHING had been conceded from my side I have seen at least one post expressing some misunderstanding. Let me, therefore, make the following clarification:

1) The decimal integers N.99… , N = 0, 1, …, are well-defined nonterminating decimals among the new real numbers [8] and are isomorphic to the ordinary integers, i.e., integral parts of the decimals, under the mapping, d* -> 0, N+1 -> N.99… Therefore, the decimal integers are integers [3]. The kernel of this isomorphism is (d*,1) and its image is (0,0.99…). Therefore, (d*)^n = d* since 0^n = 0 and (0.99…)^n = 0.99… since 1^n = 1 for any integer n > 2.

2) From the definition of d* [8], N+1 – d* = N.99… so that N.99… + d* = N+1. Moreover, If N is an integer, then (0.99…)^n = 0.99… and it follows that ((0.99,..)10)^N = (9.99…)10^N, ((0.99,..)10)^N + d* = 10^N, N = 1, 2, … [8].

3) Then the exact solutions of Fermat’s equation are given by the triple (x,y,z) = ((0.99…)10^T,d*,10^T), T = 1, 2, …, that clearly satisfies Fermat’s equation,

x^n + y^n = z^n, (F)

for n = NT > 2. The counterexamples are exact because the decimal integers and the dark number d* involved in the solution are well-defined and are not approximations.

4) Moreover, for k = 1, 2, …, the triple (kx,ky,kz) also satisfies Fermat’s equation. They are the countably infinite counterexamples to FLT that prove the conjecture false [8]. They are exact solutions, not approximation. One counterexample is, of course, sufficient to disprove a conjecture.

The following references include references used in the consolidated paper [8] plus [2] which applies [8]

References

[1] Benacerraf, P. and Putnam, H. (1985) Philosophy of Mathematics, Cambridge University Press, Cambridge, 52 - 61.

[2] Brania, A., and Sambandham, M., Symbolic Dynamics of the Shift Map in R*, Proc. 5th International

Conference on Dynamic Systems and Applications, 5 (2008), 68–72.

[3] Corporate Mathematical Society of Japan , Kiyosi ItÃ´, Encyclopedic dictionary of mathematics (2nd ed.), MIT Press, Cambridge, MA, 1993

[4] Escultura, E. E. (1997) Exact solutions of Fermat's equation (Definitive resolution of Fermat’s last theorem, 5(2), 227 – 2254.

[5] Escultura, E. E. (2002) The mathematics of the new physics, J. Applied Mathematics and Computations, 130(1), 145 – 169.

[6] Escultura, E. E. (2003) The new mathematics and physics, J. Applied Mathematics and Computation, 138(1), 127 – 149.

[7] Escultura, E. E., The new real number system and discrete computation and calculus, 17 (2009), 59 – 84.

[8] Escultura, E. E., Extending the reach of computation, Applied Mathematics Letters, Applied Mathematics Letters 21(10), 2007, 1074-1081.

[9] Escultura, E. E., The mathematics of the grand unified theory, in press, Nonlinear Analysis, Series A:

Theory, Methods and Applications; online at Science Direct website

[10] Escultura, E. E., The generalized integral as dual of Schwarz distribution, in press, Nonlinear Studies.

[11] Escultura, E. E., Revisiting the hybrid real number system, Nonlinear Analysis, Series C: Hybrid Systems, 3(2) May 2009, 101-107.

[12] Escultura, E. E., Lakshmikantham, V., and Leela, S., The Hybrid Grand Unified Theory, Atlantis (Elsevier Science, Ltd.), 2009, Paris.

[13] Counterexamples to Fermat’s last theorem, http://users.tpg.com.au/pidro/

[14] Kline, M., Mathematics: The Loss of Certainty, Cambridge University Press, 1985.

E. E. Escultura

Research Professor

V. Lakshmikantham Institute for Advanced Studies

GVP College of Engineering, JNT University

Madurawada, Vishakhapatnam, AP, India

http://users.tpg.com.au/pidro/

THE MATHEMATICAL PROOF OF THE RELATIVITY INDUCED LOCAL FLATNESS OF THE EARTH:

IN THE BOOK OF JOB<3:10> GOD SAID"HE(GOD)DREW A(GLOBALLY)CIRCULAR

(BUT LOCALLY FLAT)HORIZON ON THE FACE OF THE WATERS(SEA)AT THE BOUNDARY OF LIGHT AND DARKNESS".ERATHOSTHENESS, THE LIBRARIAN AT THE ALEXANDRIAN LIBRARY IN EGYPT,SEEING THE REFLECTION OF THE SUN IN A WELL AT 12 NOON IN THE WATER DOWN,GUESSED RIGHT THAT THE SUNLIGHT IS POINTED 90 DEGREES TOWARDS THE CENTER OF THE EARTH. KNOWING THAT THE DISTANCE FROM THE WELL IN SYENE TO ALEXANDRIA IS 480 MILES;HE COMPUTED THE ANGLE AT ALEXANDRIA TO BE 7.2 DEGREES. 1 DEGREE AT THE EQUATOR =69 MILES MULTILIED BY 360 DEGREES/ 1OO% OR 3.6 ROUNDNESS FACTOR =248.4 OR 480/2 APPROXIMATELY. THIS IS THE FLAT SURFACE OF THE SALEN-GA TANGENT DISTANCE OF 1 FISH SCALE WITH YOU THE OBSERVER AS AN IMAGINARY MICROBE AT THE CENTER OF THE FISH SCALE. YOU HAVE NO WAY OF KNOWING THAT THE FISH'S BODY IS OBLONGATED BECAUSE ALL THE SCALES YOU CAN GO TO IS LOCALLY FLAT!!! THE NEW DISCOVERY PREVENTED ERATHOSTHENES FROM FULLY REALISING THAT THE EARTH IS GLOBALLY ROUND AND LOCALLY FLAT AT THE SAME TIME. THE 360/100=3.6 FLATNESS FACTOR OR 248 MILES AS THE HALF DISTANCE FROM THE CENTER OF THE IMAGINARY FISH SCALE WHOSE BORDER IS = + OR - 248 FROM THE CENTER TO THE BORDER WHICH IS THE TERRITORY UNAFFECTED BY THE RELATIVITY OF SIMULTANEITY TAUGHT BY HENRI POINCARE. IT IS A FORM OF QUANTUM DUALITY OF WORLDS LIKE THE SIMULTANIOUS DIRECTION OF A TREE BEING OBSERVERVED BY TWO PARTICIPATOR FROM THE FAR SOUTH AND FAR NORTH OF THE FIELD. THIS IS CALLED IN QUANTUM THEORY AS THE PRINCIPLE OF COMPLIMENTARITY,BASED ON THE QUANTUM ANTI-LOGIC LAW OF THE INCLUDED MIDDLE.

ERATHOSTHENES HAS AN APPROXIMATION ERROR OF AROUND I6 MILES. USING THE KNOWN FACT THAT THERE ARE 69 MILES TO A DEGREE,DIVIDING THE DISTANCE FROM SYENE TO ALEXANDRIA AT 480 MILES DIVIDED BY 7.2(THE ERATHOSTHENES CONSTANT)=66 MILES??? SO HE WAS OFF TANGENT BY HOW MANY ARC SEC., AT THE OPPOSITE SIDE OF THE ANGLE /_7.0 degrees AT THE CENTER OF THE EARTH. 480/7=68.57 or 69.miles. He did not notice that the 0.2 difference is already a small chord under the earth because the distance Syene to Alexandria is already spherical so the plane trigonometric 180 degree total of a right triangle does not apply. The line of sight distance from center of fish scale to earth's horizon =69x(7/2)=241 miles.

HAVING DISCOVERED THAT THE INDEX OF REFLECTION OF LIGHT IN A VACUUM IS ZERO, LEADING ME TO CONCLUDE THAT THRE IS NO SUCH THING AS VISIBLE LIGHT; I, ANGELITO V. SALENGA CLAIM DISCOVERY OF THE NEWEST EFFECT IN PHYSICS: THE SALEN-GA EFFECT: THE DARKNESS OF THE LIGHT FLOODED VACUUM OF FREE SPACE. GOD INSPIRED ME AS THE LORD'S PROPHET ISRAEL AND AS 2ND DAVID OF NEW JERUSALEM(METRO MANILA)TO FULFILL ISAIAH 29:14-16. TO GOD BE THE GLORY. HALLEL(PRAISES)U YAH(TO GOD!!!

ANGELITO SALENGA HIMSELF

THE MOST GLARING EXAMPLE OF A CIRCLE COMPOSED OF A STRAIGHT LINES IS THE BLADE GUARD OF THE ELECTRIC FAN.IT IS OBVIOUSLY A CIRCLE COMPOSED OF STRAIGHT LINES.THE DISTANCE BETWEEN EACH PAIR OF WIRE IN THE BLADE GUARD HOUSING HAS A FLAT EUCLIDIAN DISTANCE FROM ONE WIRE TO THE NEXT IT WAS ALBERT EINSTEIN WHO WAS SUPPOSED TO DISCOVER THAT THE EARTH ALTHOUGH GLOBALLY ROUND IS LOCALLY FLAT,HE WAS SO ENGROSSED WITH TRYING TO PROVE THAT QUANTUM THEORY IS DEFECTIVE AND SINCE HE HIMSELF WHO ADVISED EVERYONE NOT TO TRUST WHAT THEY LEARNED FROM GRADE SCHOOL TO COLLEGE BECAUSE HE SAID THAT "COMMON SENSE IS WHAT YOU HAVE BEEN SPOON FED BY YOUR TEACHERS"BUT HE HIMSELF AND THOSE WHO TAUGHT HIM INCLUDING RIEMANN WHO TAUGHT HIM SPHERICAL GEOMETRY; ALL OF THEM WERE BRAINWASHED BY THE GEOMETRY TEACHERS WHO TAUGHT THEM FIRST.

IF AN IMAGINARY EUCLIDIAN STRAIGHT LINE IS A ONE METER PARALLEL TO THE GROUND LIKE THE EQUATOR LINE OF THE EARTH IS TO REMAIN STRAIGHT,IT WILL GO OUT INTO OUTER SPACE BECAUSE THE EARTH IS ROUND SO THEY WILL SEPERATE.BUT IF THAT LINE REMAINS 1 METER FROM THE GROUND, IT MUST COPY THE CARVATURE OF THE EARTH SO I ARRIVED AT MY DISCOVERY THAT THE CIRCLE OF THE EARTH IS COMPOSED OF STRAIGHT LINES WHICH WE SEE ON THE BEACH AS THE HORIZON.

THE SALEN-GA TANGENT THEOREM:

STATEMENT- "THE TANGENT CONTACT LENGTH OF A STRAIGHT LINE TO A CIRCLE EQUALS ONE PERCENT OF THE CIRCUMFERENCE." E.G.EARTH'S CIRCUMFERENCE = 24,840 MILES, SO THE TANGENT CONTACT LENGTH WHERE THE CURVATURE OF THE EARTH IS PARALLEL TO LET'S SAY THE IMAGINARY EQUATOR LINE =.01 X 24,840.=248.4(FLAT)MILES LINE OF SIGHT DISTANCE FROM THE BEACH TO THE HORIZON. ISSUED BY A.SALEN-GA, A.K.A. THE LORD'S PROPHET, iSRAEL

ISAIAH 44:5 IN FULFILLMENT OF GOD'S COMMAND IN ISAIAH 29:14-16

TO GOD BE THE GLORY! HALLEL(PRAISES) U YAH(WEH)(TO GOD)!!!!

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