Reality has changed, jed; wake up!!!

E. E. Escultura

Reply to Bart van Donselaar’s article, Edgar E. Escultura and the inequality of 1 and 0.999…

1) The reason Bart van Donselaar cannot see why 1 and 0.99… are distinct is he looks at them as concepts in one’s mind. He missed what David Hilbert already knew almost a century ago that such concepts are ambiguous being unknown to others. Therefore, they cannot be the subject matter of mathematics. The right subject matter for mathematics are objects in the real world everyone can see, e.g., symbols. 1 and 0.99.. are distinct objects in the real world like orange and apple and to write the equation orange = apple is simply nonsense.

2) He could not understand why I “claim” that FLT is false and Wiles’ proof is incorrect since he says the proof is admired Worldwide (actually only four or five mathematicians do). Well, an error is an error and I hope he has seen my article, Two fatal defects of Wiles’ proof of FLT, posted in several blogs and websites.

3) He relies on dictionary definitions of concepts which is quite inappropriate for mathematics. Constructivism in my sense has nothing to do with intuitionism. It simply avoids sources of ambiguity and contradiction.

4) He claims that constructivists have not found hard evidence of defects in standard mathematics. The evidences is just under his nose: Felix Brouwers’ counterexample to the trichotomy axiom, Putnam and Benacerraf, Philosophy of Mathematics, Cambridge University Press, 1985; I also have my own version in, The new real number system and discrete computation and calculus, Neural, Parallel and Scientific Computation, 17(2009), 59 – 84.

5) He thinks mathematicians (he probably means some mathematicians) are happy with traditional mathematics for there is nothing wrong with it. Well, I wish them continued bliss of innocence.

6) He doubts that I solved the gravitational n-body problem. I did in the paper, The solution
of the gravitational n-body problem, Nonlinear Analysis, Series A: Theory, Methods and Applications,
30(8), Dec. 1997, 521 – 532; the journal is a publication of Elsevier Science Ltd. based there in
Amsterdam.

7) He claims he can compute with nonterminating decimals. Try adding sqrt2 and sqrt3 and write the precise sum. I would like to see how he does this impossible feat. His claim is based on imprecise thinking.

8) He also cannot understand why it is impossible to verify whether a nonterminating decimal is periodic or nonperiodic. Clue: the digits are infinite and we cannot look at all of them to check.

9) He chastises me for writing difficult mathematics and physical theory. New ideas are initially difficult but if they are correct they will pass the test of time. Initial critics of my work had a hilarious time calling me a crackpot, lunatic, moron, etc., but where are they now? My posts had been picked up by many blogs and websites and my papers have been used by renowned publications such as the Encyclopedic Dictionary of Mathematics and Elsevier Science. A number of them made it to the top 25 most downloaded papers published by Elsevier Science, online at Science Direct archives. My book co-authored with Profs. V. Lakshmikantham and S. Leela released last March that applies the new real number system to mathematics, physics and other fields has now made it to #2 on World Scientific’s best sellers list in July from #48 last June. I really doubt if people buy books they don’t understand. Therefore, the problem of understanding the new real number system is elsewhere not in my work.

10) I notice lately, that Wiles’ supporters have done massive promotion of his proof including publication of some books about it. It will not prosper unless they address my specific criticisms of the proof point blank.

Conclusion.

The article is not well thought out and uses rumors and gossips. For example, it quotes Alecks Pabico an amateur journalist who lost his job as a journalist for commenting on an issue he knows nothing about and writing and posting it on blog and websites across the internet.

Bart is unsure of his ideas, makes claims he cannot verify and resorts to name-dropping which makes me doubt if he, like Alecks, understands what he is writing about.

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., Lakshmikantham, V., and Leela, S., The Hybrid Grand Unified Theory, Atlantis (Elsevier Science, Ltd.), 2009, Paris.
[11] Counterexamples to Fermat’s last theorem, http://users.tpg.com.au/pidro/
[12] 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
http://users.tpg.com.au/pidro/

Alternatives to Nuclear and Fossil Fuels

By E. E. Escultura
GVP – Professor V. Lakshmikantham Institute for Advanced Studies
and Departments of Mathematics and Physics, GVP College of Engineering
JNT University, Madurawada, Visakhapatnam 540041, AP, India

1. On the nuclear crisis in Japan

Several countries along the Northwestern Pacific Rim have expressed concern over the possibility of contamination by airborne radioactive materials coming from the partial meltdown of the nuclear reactors in Fukushima, Japan. I offer some insights based on references [1], [2], [3], [4], [5], [6] below.

There is an elliptical wind cycle called the Northern Pacific Wind Cycle [5], [6], [7] that starts with the Trade Winds originating off the Coast of Ecuador [1], [2], [7] and going west along the Pacific edge of the Southern Hemisphere to the Southern Seaboard of the Philippines. It sweeps across the Philippines and curves North then Northeastward and grates Vietnam, the Southeast Coastal Region of China and Korea. It crosses Japan and becomes the jet stream south of the Siberian Coast and crosses the Bearing Sea. Then it crosses the Alaskan Coast, curves southward and crosses Canada and the Tornado Belt of the US from the Midwest to Texas. Then it curves west southwest across Mexico and eastward and oins the Trade Winds off the Coast of Ecuador and to complete the Northern Pacific Wind Cycle. (For full explanation of this phenomenon see [1], [2], [5])

Airborne radioactive materials ride in and follow the course of this cycle. By the time they reach the Northern American Continent considerable amount of it would have dissipated downwards into the Sea and upwards into the upper atomosphere (for light radioactive materials) rendering the radiation considerably weakened there. By the time the radioactive materials reach the Philippines, if any, radiation will be minimal and harmless.

2. Averting nuclear meltdown

Can a meltdown be be avoided? Yes, but it will require rectification of present defect in design of nuclear reactors. There should be no power shut off for a reactor to keep the water cooling system running and prevent overheating and meltdown. Installation of appropriate UPS (uninterrupted power service) will insure it. Moreover, there should be an automatic nuclear reaction shut off to suress further heat generation and prevent meltdown in case the UPS fails. This can be accomplished by installing neutron absorbers (neutron of sufficiently low energy – 0.25 calories – split the uranium cofe nuclei causing nuclear fission that releases nuclear energy) such as cadmium or graphite rods that can be inserted suitably into the uranium core to choke off nuclear fission. (For the underlying physical explanation, see [3], [5])

3. More serious problems

However, nuclear meltdown is not the only problem posed by nuclear reactors that include the thorium reactors to be built in India under a US-Indian bilateral agreement. Thorium 232 is a radioactive material three times more abundant than the uranium isotope presently used in nuclear reactors. Though rarely discussed, the most serious problem posed by nuclear reactors in the long term is waste disposal because these nuclear fuels have half-life of at least 1800 years. Presently, nuclear wastes are dump into the ocean. Their containers are bound to erode and leak radiation sooner than their half life. There are known dump sites off the Eastern Coast of Africa that have already caught the attention of environmental groups, particularly, the Green Parties.

The nuclear disaster in Japan is bound to ruin the fishing industry that depends on fisting off the Eastern Coast of Japan. Since some fish species travel across oceans contaminated fish in this region are bound to contaminate the nearby coastal waters of the Pacific Ocean and China Sea. In fact, contaminated fish has been reported caught in Hong Kong just a couple of weeks after the beginning of the disaster. This is of srious concern for the Philipppines and I would recommend that Philippine authorities begin to monitor fish caught in the region.

5. Safe alternatives

There are, of course, safe alternatives to nuclear and fossil fuels for generating energy. Under traditional power generation, we mention the following:

(1) Geothermal power plant with suitable design that recycles the geothermal steam and avoids release of sulfur that causes acid rain as well as damage to the topography of the ground due to distortion of ground surface.
(2) The use of ethanol for internal combustion engine. Ethanol comes from common crops such as cassava and sugar cane. More than 50% of idle land in the Philippines is suitable for growing cassava.
(3) A new emerging technology uses the cold underground water for air conditioning and refrigeration. This is, of course, more environment friendly than conventional air conditioning and refrigeration. I have a friend in India who is venturing into this new technology.

We now have a new category, GUT technology, that uses the clean, inexhaustible dark matter comprising over 95% of and abundant everywhere in the cosmos [3], [4], [5], [6]. GUT means grand unified theory [3] which is the basis of the design and construction of such technology [5], [6]. This technology uses the natural engine of the vortex flux of superstrings provided by the magnet. Among the existing GUT technology are the following [5]:

(a) The magnetic train. It used two magnetic vortex fluxes of opposite spins that push each other and the train, one fixed magnet on the track and the other underneath the train.

(b) Another GUT technology which is at the design and prototyping phase is the electromagnetic car which I introduced in India in collaboration with colleagues there.

(c) The present electric power plant is only partial GUT technology for it uses other source of energy side by side with the natural dark engine (magnetic vortex flux).

There is a potential for building an electromagnetic power plant using magnets alone. I have received an invitation from an industrialist in India interested in research and development on it.
Another electromagnetic engine based on GUT, specifically, the principles that account for magnetic levitation, can provide power to space vehicle that travels through the gravitational field of any cosmological body such as the Earth, Sun and any galaxy. This can revolutionize travel around Earth. Research and development for travel around Earth can be started now but for general space travel that is still way into the future.

This article will concretize my column on New Discoveries.

References

[1] Escultura, E. E. Turbulence: theory, verification and applications, J. Nonlinear Analysis, A-Series: Theory, Methods and Applications, 2001, 47, 8, pp. 5955 – 5966.
[2] Escultura, E. E. The Pillars of the new physics and some updates, J. Nonlinear Studies, 2007, 14, 3, pp. 241 – 260.
[3] Escultura, E. E. The grand unified theory, contribution to the Felicitation Volume on the occasion of the 85th birth anniversary of Prof. V. Lakshmikantham, J. Nonlinear Analysis, A-Series: Theory: Method and Applications, 2008, 69, 3, pp. 823 – 831.
[4] Escultura, E. E. The mathematics of the grand unified theory, Proc. 5th World Congress of Nonlinear Analysts, J. Nonlinear Analysis, A-Series: Theory: Method and Applications, 2009, 71, pp. e420 – e431.
[5] Scientific natural Philosophy, an ebook in Press, Bentham Science Publishers.
[6] Lakshmikantham, V.; Escultura, E. E.; Leela, S. The Hybrid Grand Unified Theory, Atlantis (World Scientific): Paris, March 2009.
[7] (a) The Earth Atlas; (b) The Oceans Atlas, Dorling Kindersley: London, 1994.

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