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 جريدة البيان فى عددها الصادر بتاريخ 09 نوفمبر 2013 وحديث مع الدكتور
محمد النشائى





د/ محمد النشائي عالم

النانو تكنولوجي وأحد أشهر علماء الفيزياء النظرية يتحدث .. للبيان




كتب في : السبت

09 نوفمبر 2013 بقلم : تحقيق - مصطفى عمارة













لا أشعر بالإطمئنان لقرار مصر
بإقامة المفاعل النووى بعد طول انتظار وفترة من الشد والجذب حول المشروع

النووي المصري اعلنت مصر عن بدء برنامجها بعد قبول اهالي الضبعة تسليم الارض

المخصصة للمشروع للقوات المسلحة ومع بدء الاجراءات لاقامة هذا المشروع ادلى د/

محمد النشائي عالم النانو تكنولوجي واحد اشهر علماء العالم في الفيزياء النظرية

بحوار خاص تناول فيه وجهة نظره تجاه هذا المشروع والمستجدات الاخرى على الساحتين

العلمية والسياسية :


كيف ترى قرار مصر

الدخول في العصر النووي واختيار موقع الضبعة لانشاء المشروع النووي الجديد ؟


المشكلة ليست في موقع

الضبعة فهناك اماكن عديدة تصلح لاقامة المفاعل النووي الجديد خاصة ان التطورات

الاخيرة في مجال انتاج المفاعلات النووية جعلتها اكثر امنا كما ان لدينا من

الكفاءات لتشغيل هذا المفاعل ولكن المشكلة الحقيقية ان دخول مصر العصر النووي يخضع

لاعتبارات سياسية لان الولايات المتحدة والتي تنظر فقط للمصالح الاسرائيلية مارست

ضغوط على انظمة الحكم المتعاقبة للحيلولة دون اقامة هذا المفاعل وبالتالي فإن

عملية التهييج الاعلامي الذي صاحب اقامة هذا المفاعل لا انظر اليه نظرة جدية إلا

اذا ترجم ذلك على ارض الواقع نظرا للتجارب الماضية في هذا المجال .


هل ترى ان اقامة هذا

المفاعل سوف يحل مشاكل مصر في انتاج الطاقة ؟


بالقطع لا .. فنحن

نحتاج الى اكثر من مفاعل خاصة ان هناك اماكن كثيرة تصلح لاقامة المفاعلات وليس

الضبعة فقط لان مخاطر اقامة المفاعلات في ظل التطور العلمي الحالي اصبحت قليلة اذا

قورنت ببدائل الطاقة الاخرى .


هل لدينا القدرة على

تصنيع المفاعل محليا ؟


في المرحلة

الاولى على الاقل فأنه يمكن شراء المفاعل من الخارج اما بالنسبة للكفاءات فنحن

نمتلك الكفاءات اللازمة لتشغيله .


هل يمكن استخدام

الطاقة البديلة التي يمكن تقليدها من اشاعة الشمس والرياح ؟


رغم توافر هذين العاملين في مصر من وجود شمس ساطعة
معظم اوقات النهار والتي يمكن استغلالها في
زراعة الصحراء وكذلك الرياح إلا ان
المشكلة ان استخراج الطاقة من الشمس او الرياح
باهظ التكاليف ولا يمكن ان تزودنا إلا
بـ 5 % على اكثر تقدير من الطاقة اما الطاقة

المستخرجة من المحطات النووية فيمكن ان تزودنا باكثر من 30% من احتياجاتنا من

الطاقة .


في ظل استمرار ازمة جامعة النيل
رغم صدور حكم من القضاء الاداري بعودة ارض الجامعة التي استولى
عليها د/ احمد زويل اليها . فكيف تنظر الى تلك القضية ؟


ما يحدث في هذا الموضوع يعد مهزلة بكل المقاييس فلقد
تم منح تلك الارض لزويل رغم ملكيتها لجامعة
النيل في عهد رئيس الوزراء السابق
عصام شرف دون اي سند قانوني وهو ما يستحق ان

يحاكم عليه واستمر الوضع في النظام الحالي وهذا إن دل فانما يدل على استمرار سيطرة

الولايات المتحدة على القرار المصري والذي يمثله احمد المسلماني ومصطفى حجازي في

قصر الرئاسة حيث يعمل هذا اللوبي لحماية المصالح الامريكية لان زويل هو رجل
الولايات المتحدة في مصر وجامعة زويل لم تضف لمصر شيئا من الناحية
العلمية ولكنها
فقط تبيع الوهم للمصريين وهو ما دفع الدكتور عبد العزيز حجازي رئيس
مجلس ادارة
جامعة النيل الى تقديم استقالته .


ما هي رؤيتك لاداء الحكومة الحالية ؟


رغم وجود بعض الشخصيات الجيدة في الحكومة الجديدة الا ان هناك بعض السلبيات التي
لا تزال موجودة
سواء في اسلوب الادارة او في اختيار بعض الشخصيات سواء داخل الحكومة
او في لجنة

الخمسين وارى ان الضمانة الوحيدة لنهوض مصر من كبوتها الحالية هو تولي الفريق
السيسي مقاليد الحكم وبدون هذا فلن يتغير شيئا .


شغلت عدد من المناصب العلمية
الهامة داخل المملكة السعودية خلال الفترة الماضية . فكيف تنظر

الى القرار السعودي بالانسحاب من مجلس الامن ؟


احب ان اوجه التحية الى المملكة السعودية التي اتخذت هذا
القرار الجرئ والذي يعد صفعة للمنظمة الدولية
والولايات المتحدة لانتهاجها المعايير
المزدوجة في تعاملها مع قضايا المنطقة
وابرزها قضية فلسطين وسوريا ورغم
العلاقات الاستراتيجية التي ربطت السعودية
بالولايات المتحدة إلا انها اعلنت
التحدي لسياستها في مواطن عديدة فلقد اهتمت
السعودية بالعلم مبكرا لتأسيس نهضة علمية
من خلال انشاء عدد من المؤسسات العلمية
شاركت في ادارتها رغم ان ذلك كان ضد
رغبة الولايات المتحدة واعلنت دعمها للنظام
المصري الجديد سياسيا واقتصاديا رغم
معارضة الولايات المتحدة لذلك وكشفت الوجه
الحقيقي للولايات المتحدة في دعم
الارهاب والذي دفع ابنتي الحاصلة على الجنسية
الامريكية وشاركت في حملة اوباما
الانتخابية باعتباره انه اول رئيس امريكي من جذور
افريقية واسلامية إلا اعلان لذمها على
مساندته بعد ان ادركت انه لا يختلف عن
الرؤساء الذين سبقوه في دعم اسرائيل
فضلا عن دعم المنظمات الارهابية وهو ما افقده
تعاطف الشعب الامريكي لانه شعب طيب
على عكس الادارة الامريكية التي خضعت للوبي
الصهيوني .


كيف تنظر الى المباحثات
الامريكية الايرانية حول الملف النووي الايراني ؟ وهل يعكس مرونة من

النظام الايراني في هذا المجال ؟


احب ان اؤكد ان ايران انتجت اكثر من قنبلة نووية يمكنها ان
تلحق باسرائيل خسائر فادحة في حالة نشوب اي
نزاع بينهما ولكن ما اخشاه ان تلك
المباحثات سوف تكون على حساب مصالح العالم
العربي .

































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أ.د. محمد صلاح الدين النشائى فى اثار بترا بالاردنProf. Mohamed Alnashaee in Petra-Jordan

أ.د. محمد صلاح الدين النشائى فى اثار بترا بالاردنProf. Mohamed Alnashaee in Petra-Jordan
أ.د. محمد صلاح الدين النشائى فى اثار بترا بالاردن Prof. Mohamed Alnashaee in Petra-Jordan

Happy New Year

Happy New Year
Happy New Year 2013

الدكتور محمد النشائى يرشح الفريق أول عبد الفتاح السيسى





الاستاذ الدكتور مهندس محمد صلاح الدين النشائى
عالم تقنية النانو المعروف يرشح سعادة فريق أول وزير الدفاع والانتاج الحربى ونائب
رئيس الوزراء لرئاسة الجمهورية فى الانتخابات المقبلة ويقول انه لا يقل بل يزيد
احقية فى ذلك عن أعظم رؤساء الولايات المتحدة الذين كانوا فى صفوف الجيش الامريكى
مثل جورج واشنطن ودريت إيزنهور قائد الجيش الامريكى فى الخرب العالمية الثانية.
وكان ذلك الامس 19-07-2013 على قناة النيل الانجليزية فى برنامج نيل كروز







NO TO ALL FORMS OF RELIGIOUS FASCISM

30 يونيو ثورة مصر الثانية

30 يونيو ثورة مصر الثانية

الدكتور محمد النشائى فى مظاهرات الحرية يوم 30 يونيو

الدكتور محمد النشائى فى مظاهرات الحرية يوم 30 يونيو
الدكتور محمد النشائى فى مظاهرات الحرية يوم 30 يونيو

الدكتور النشائى فى مظاهرات 30 يونيو

الدكتور النشائى فى مظاهرات 30 يونيو

30 يونيو

العالم المصرى الدكتور محمد النشائى المرشح المحتمل السابق لرئاسة الجمهورية

يعلن تأيده التام لشرعية مطالب الشعب المصرى ويهنئه على انجازاته السياسية والاخلاقية ويطالب بالاستمرار إلى ان يحصل الشعب على شرعيته كذلك يعلن عن تقديره وحبه المطلق لشعب مصر العظيم وتأيده لأعلان القوات المسلحة وتقديره الشخصى لقيادة الجيش وسيادة المشير عبد الفتاح السيسيى و المجلس الاعلى للقوات المسلحة ويدعو لهم من قلبه بالنجاح وان يوافقهم الله وهو متأكد ان الجيش العظيم سوف يحافظ على إرادة الشعب المصرى وكرامته وفى نفس الوقت سوف يحافظ على رئاسة الجمهورية كمركز أعلى وغير مرتبط بأسم الشخص الذى يحتله وهو على كل حال هو شخص مصرى.و لابد من كل اطياف الشعب من المشاركة فى رسم مستقبل مصر تماما كما قال سيادة المشير وزير الحربية والقائد الاعلى للجيش. كذلك يشكر الدكتور النشائى شباب مصر الذى رائهم عن كثب لأول مرة من يوم 30 يونيو إلى اليوم حيث كان النشائى بصفة شبة دائمه فى التحرير والاتحادية ويؤكد انحيازه لهم .

محمد مصطفى

تصريح للدكتور النشائى لما حدث بالامس

القاهرة فى 5 يوليو 2013

صرح دكتور مهندس محمد النشائى عالم النانو تكنولوجى والمرشح المحتمل السابق لرئاسة الجمهورية بالتالى:

لقد صدم بصور معارك الشوارع وخطب التحريض ولايجد كلمة تعبر عن مشاعر الحزن التى يشعر بها لانه لم يكن يتصور يوما من الايام ان ذلك ممكن إن يحدث فى مصر. لذلك يكرر الدكتور النشائى أن الشرعية هى شرعية مطالب غالبية الشعب وقد سقط النظام السابق للحزب الوطنى فى التحرير فكانت شرعية. وسقط الحكم الان مرة اخرى على نفس النمط ولايمكن ان يكيل الانسان بمكيلين ثم يتكلم عن شرعية . الشرعية كلمة تعنى اشياء مختلفة لشعوب مختلفة لأديان مختلفة ولمذاهب سياسية مختلفة ثم تختلف مرة أخرى مع مرور الزمن. ماذا يمكن أن يكون أكثر شرعية من رغبة غالبية الشعب وتعضيد الكنيسة والازهر الشريف ومباركة الجيش والدخلية وشباب مصر الذى سوف يكون هنا فى الخمسين عاماً القادمة ولذلك لابد أن يكون لهم الكلمة الاولى وللشيوخ الكلمة الثانية والنصح فقط وليس الترويع والتهديد. ان أحترام الدكتور النشائى لمركز رئيس الجمهورية معروف ولايمكن أن يشكك فى احترامه لجميع رؤساء جمهورية مصر ولا لشعب مصر ولا طبعا لجيش مصر أحد.

رمضان كريم

رمضان كريم


يهنئ الكتور محمد النشائى كافة المصريين و الامة الاسلامية كلها بحلول شهر رمضان المعظم .
Prof. El Naschie exposed the hypocrisy of those who called the June 30 Egyptian Revolution a military coup d'état. In a communique on Channel 1 of The Egyptian Television he said the Revolution of January 25, 2011 which ended the rule of President Mubarak was followed by a Military Council which handed over power to the Muslim Brotherhood. By obvious contrast power was handed over immediately after the June 30 Revolution to a Civil Government and a Supreme Court Judge became Egypt's Interim President and Dr. Mohamed El Baradie was nominated and selected as Vice President. Could Obama be confused unless.....Prof. El Naschie, who was always a friend of Obama, could not complete the sentence with its embarrassing conclusion

الأربعاء، 3 يونيو 2015

A Fractal Rindler-Regge Triangulation in the Hyperbolic Plane and Cosmic de Sitter Accelerated Expansion

A Fractal Rindler-Regge Triangulation in the Hyperbolic Plane and Cosmic de Sitter Accelerated Expansion

A Fractal Rindler-Regge Triangulation in the Hyperbolic Plane and Cosmic de Sitter Accelerated Expansion
Mohamed S. El Naschie
Department of Physics, University of Alexandria, Alexandria, Egypt
Copyright © 2015 by author and Scientific Research Publishing Inc.
This work is licensed under the Creative Commons Attribution International License (CC BY).
Received 1 December 2014; accepted 24 March 2015; published 25 March 2015
The well known finite elements Regge calculus is transformed to a triangulation in the hyperbolic plane using fractal Rindler wedges as tiling elements. The final result is an expanding de Sitter hyperbolic, i.e. Gauss-Bolyai-Lobachevsky universe with dark energy and ordinary energy densities in full agreement with cosmic observations and measurements. In the course of obtaining this vital result, the work addresses fundamental points connected to a host of subjects, namely Hardy’s quantum entanglement, an extension of Turing’s machine to a transfinite version, the phenomenon of measure concentration in the context of Banach-like spaces with high dimensionality as well as the pioneering work on the relation between quantum entanglement and computational efficiency.
Keywords:
Component, Hyperbolic Regge Calculus, Finite Elements in Cosmology, de Sitter Universe, E-Infinity Theory, Transfinite Turing Golden Mean Computer, Rindler Triangulation, Endophysics, Anti-Bethes Poof, Topological Quantum Entanglement, Gauss-Bolyai-Lobachevsky Geometry
Regge calculus is a powerful finite element-like method in four dimensions applied to solve Einstein’s highly nonlinear equations [1] -[13] . The method was further developed, modified and extended to a quantum gravity theory by many researchers [3] . In recent times the work of J. Ambjorn and R. Loll [13] deserves special attention [1] - [3] [13] . It was against this background that the present work was planned and executed by transforming Regge calculus to a fractal hyperbolic theory [14] which is used to solve the mystery of accelerated cosmic expansion and the associated dark energy believed to be an expression of a non-vanishing cosmological constant [14] - [24] . In short, the spacetime of our theory is a hyperbolic fractal where quantum entanglement is replaced by a Hardy type natural topological zero measure entanglement [22] following E-infinity theory [24] - [35] .
The paper is subdivided for efficient reading as follows: After the Introduction we review in Section 2 some important dualities between inverse electroweak couplings and the various energy sections as well as the extension of Turing’s machine to a transfinite version via a highly structured golden mean ring as a number system [34] - [48] . Section 3 is a condensed account of the Regge “finite element” method and its adaption to the present work [35] . In Section 4 we discuss the ideas and hunches leading to a hyperbolic expanding de Sitter universe [35] . Subsequently in Section 5 the fundamental results are wrapped up with the analogy presented earlier in Section 2 [49] - [60] . Finally in Section 6 we present a short recapitulation of the paper and the relevance of quantum entanglement enhanced computation [61] - [63] .
The present work is by no means self contained but we rely on an adequate list of references to fill in the inevitable gaps in a condensed presentation [20] - [63] .
Let us consider here a most instructive and somewhat surprising duality between the coupling constant of the electroweak interaction (i.e.and) [25] - [40] and the four fundamental sections of cosmic energy (i.e. pure dark energy 74%, dark matter 22%, ordinary energy 3% and ordinary matter 1%) [14] - [24] . The values mentioned above for  are the exact E-infinity theoretical value which are very close to the experimental one [25] - [32] and also satisfies the reconstruction equation of  where= P (Hardy’s quantum entanglement) and  [22] . Inserting in the said equation one finds [28] [33]
(1)
where  is the E-infinity Clebsch factor [25] - [27] [39] and, where  is Hardy’s probability of quantum-topological zero measure entanglement [22] , could be expressed in terms of ‘tHooft’s order parameter of dimensional regularization, namely  to give. On the other hand, the integer value of  namely  could be found using the same reconstruction formula but after replacing  and  by the following values [14] - [24]
(2)
In addition the E-infinity transfinite value the Clebsch factor [39] must be made rational, i.e.
(3)
We note on passing that the Clebsch factor is needed because the electroweak is based on three different Lie symmetry groups U(1), SU(2) and SU(3) [39] [40] which are made compatible by this very same factor. Inserting in our renormalization equation one finds
(4)
where 22 + 4 = 26 is the dimensionality of the Veneziano-Nambu bosonic string space [39] . It is also noteworthy that [11] [12] [19] [20]
(5)
and similarly
(6)
From the preceding elementary analysis, it is obvious even to non-mathematicians that the mathematical scheme behind this calculation is trying to tell us something which transcends mathematics in the common naïve understanding as a mere tool and elevate it to something indistinguishable from physics, albeit the physics of what G. ‘tHooft calls the elementary building block of space, time and matter [41] . Let us attempt in good faith to translate what is superficially numbers to what is equally superficially means physics. Since 75% corresponds to  we feel strongly inclined to view pure dark energy as being of electromagnetic origin at the energy scale of the electroweak unification. Next  corresponds to the weak force and again at the electroweak unification. Proceeding with our educated guesswork, it would seem quite evident that ordinary energy and matter must be clearly connected to the strong interaction  and the quantum gravity coupling  [25] - [30] . Considering that the topology required by high energy physics is not the classical “tame” topology but the Cantor set ramified “wild topology” [28] - [33] , the preceding guesswork was not “wild” at all. However, the next guesswork may be closer to scientific speculation than to scientific-mathematical deduction. The point concerns the division of ordinary energy into non-luminous matter and luminous matter. Following the statistical analysis of cosmic energy measurement, it seems that 74% should be nearer to 73% while 22% is reported to be 23% [42] . This is not grave because we could discuss these things away once we take the next set of data seriously. These are 3.6% for non-luminous matter and 0.4% for luminous matter [42] . We can for instance see 0.4% as the difference between the core Hausdorff dimension  and the scaling dimension of ‘tHooft fractal dimensional regularization spacetime  [17] . That means. Concentrating now on the larger picture we could say from reading the preceding dualities road map that the ordinary energy and matter inhabits Einstein’s four dimensional spacetime, i.e. 3 + 1 = 4 dimensions with a corresponding about 4% energy density [14] - [24] . Dark matter on the other hand is uniquely connected to the compactified 26 − 4 = 22 dimensions of bosonic string spacetime. This leaves from our canonical 100 dimensions exactly 100 − (22 + 4) = 74 dimensions for pure dark energy to roam in [19] - [22] . The word is too complex to have been at the beginning and we say that with the outmost due respect to all religions who believe to the contrary. The number must have been there first because one, two, three seems infinitely simpler than a word although we admit that this depends crucially upon what we mean by the word ‘word’. However, this is not entirely true because the integers are a very special kind of numbers and they may be infinite but there seems to be much larger infinity than this simple infinite number. It is here where our golden mean based number system constituting a transfinite version of A. Turing’s machine [34] [43] , a golden mean computer if you want [43] , is infinitely more efficient to handle quantum problems in high energy physics and cosmology. In fact, this number theoretical wonder weapon is subtly related to our choice of units and it can be shown on deep reflection that Hans Bethe’s famous spoof [44] is not really a spoof. We actually mean that the most convenient choice of units is a natural requirement of accurate quantum and micro physics expressed properly in the language of the most irrational number f in all its combinations. In this sense, a part of naïve conception of number coincidence or numerology of the customary loose sense in which this word is misused although if we encounter such “numerology” [44] - [52] then it is just the pattern of a not yet understood fundamental physical or cosmological phenomena. That is also where the circle closes because fundamental physics and cosmology are fundamental mathematics [49] - [60] . In this sense, Sir A.S. Eddington’s rational intuition was far ahead of his and our mastery of pure mathematical reasoning at the time [52] [56] - [60] .
In what follows, we give a concise outline for a general theory of quantum relativity and dark energy based on an exact transfinite extension of Regge triangulation calculus in the Poincare-Beltrami hyperbolic plane [39] . In our present theory, not only the basic idea is very easy to grasp but also the actual computation is surreal in its simplicity [14] . We suggest starting by recalling the geometrical shape of a circular region covered by triangular tiles which are a crossbreed between those used in Klein’s modular curve and those utilized in Penrose tiling [19] [20] [39] . Compactifying these shapes would mean that we are approaching a fractal Penrose universe or in more stringent mathematical terminology, our circular region becomes an exact realization of a fiber bundle manifold [39] or in the language used by A. Connes, a noncommutative x quotient space [36] . It is thus neither difficult to imagine nor mathematical to reason that the following applies to the topology and geometry we are dealing with:
1) In the center of our Regge “finite elements” tessellation [1] - [5] , the triangular tiles are rather ordinary classical shapes with straight sides. However, as we move from the center of the Beltrami-Poincaré plane outwardly the triangular straight lines start to deform and shrink hyperbolically [35] [39] .
2) The circular boundary lies naturally at infinity and the area of the hyperbolic triangle tends towards a classical zero.
3) Adding uniform randomness to the so obtained fractal Regge tiling covering of the hyperbolic plane will result in a topology endowed with the golden mean inherited from the two legitimate parents, namely the Mauldin-Williams random triadic Cantor sets [28] - [34] and the golden mean proportioned kite and dart of Penrose’s universe [28] - [34] [39] .
4) Having went as far as we did, our basic spacetime blocks will be looked upon not as mere hyperbolic triangles but as a Rindler triangle, i.e. Rindler wedge with the familiar spear form containing the correlated part of spacetime, i.e. the entangled part while the moon section rear part contains the uncorrelated part of space which amounts to about 95.5% of the total “area” of the Rindler wedge [14] [35] .
5) The genesis from classical triangular geometry to that of hyperbolic geometry may be likened to a very far extent with that of the logistic map which starts by period doubling classical bifurcation [48] [50] [52] but at approximately l = 3.8 we have triple bifurcation leading according to Zarkovski’s number theory to a quasi chaotic region [50] following the title of the famous J. Yorke paper “Period three implies chaos” and from l = 4.23606 onwards we enter into a hyperbolic region [48] [50] [52] . It is incredible how generic this behaviour is when we consider that the Hausdorff dimensions of ‘tHooft’s fractal regularization space is 4 − k = 3.81966011 while the core of E-infinity Cantorian spacetime is characterized by a Hausdorff dimension expectation of exactly D = 4.23606, i.e. D = l = 4.23606 of the logistic map [57] . Needless to say that in all of our physical analysis quantum entanglement is de facto replaced by the notion of a zero measure topological Hardy type entanglement [22] .
6) Also as we move away from the center with our normal triangle, we leave behind us slowly but surely an exo-physical universe and approach an endo-physical one [53] [54] . At infinity we cannot reconcile experiment with theory except when we recognize the exo-endo duality as uncovered in the pioneering work of D. Finkelstein, O.E. Roessler, H. Primas and their schools [53] [54] .
7) Most importantly, we must realize that as our random space grows more “hyperbolic” it does not acquire a negative curvature but against naïve expectation, the curvature corresponding to the entire hyperbolic projection is not negative but positive.
8) Based on the above we have to conclude that our space corresponds to a de Sitter universe [39] .
9) The preceding scenario of a de Sitter space entails not only an expanding but an accelerated expansion of the spacetime described above.
10) Taking points one to nine, we conclude that the cosmological constant is non-zero and that our universe is self similar hyperbolic fractal and that with a 95.5% volume concentration at the surface of the spacetime manifold. This is actually a mathematical theorem on volume measure concentration of convex highly dimensional Banach-like spaces.
It is quite instructive and rather helpful to a proper understanding of the hyperbolic fractal nature of our alleged de Sitter universe to explain how we arrived at what must have been just a hunch and foggy idea, at least initially. Any idea, no matter how simple is produced by a highly complex and as yet not really understood perceptive, combinatorial and imaginative brain process, but in the present case it may well have started by the author noticing the similarity between the Rindler wedge and the Regge triangulation used in recent times intensively in a computer oriented theory by Ambjorn and Loll [13] . In addition, we know that a normal triangle is fat in the spherical case but thin in the hyperbolic case. Therefore in the limit the area tends to zero. Furthermore as we could describe a flat space as space with a trivial axiom for parallel lines and a spherical space as zero parallel lines space, a hyperbolic space has infinitely many parallel lines just as a Cantorian space has infinitely many dimensions. The only point which may not be straight forwards in our largely hand waving but accurate arguments is that we are claiming “Rindler” tiling space will be globally a de Sitter space although on account of its hyperbolicity, it should have a negative curvature, an anti de Sitter space [39] . However, noting the intrinsic randomness coupled with the Poincare-Beltrami projection and the basic averaging used, our space is not simply hyperbolic space but actually a very high dimensional Banach-like Cantorian fractal [14] [35] which is projected on the hyperbolic plane to give us this unique structure. In the case of any doubt, the reader needs to ponder the simplicity of the exact expressions of the Rindler areas involved. These are the arrow like area which is equal to the density of ordinary energy of the exo-physical universe [53] [54] and is given by [18] -[20]
(7)
and the circular section area behind the arrow which is equal to the total ark energy density of an endo-physical universe [53] [54] , namely [18] - [20]
(8)
If the proof of the pudding is in the eating, as a common English proverb says, then the above result and the associated energy-mass relationship [18] - [20]
(9)
are sufficient proof for us that Einstein’s formula is confirmed rather than refuted by the absence of measurable dark energy and the observation of accelerated cosmic expansion as well as our present reinterpretation of E = mc2 as the sum of the measurable energy of the quantum particle E(O) and the energy of the quantum wave E(D) which we cannot measure because of the Hartle-Hawking collapse of Wheeler-Dewitt wave function of the cosmos [12] [39] . For the avoidance of any possible misunderstanding, we stress again that our dissection not only presupposes Einstein’s beautiful formula but in conjunction with the cosmic endo-physical measurement, it confirms E = mc2 theoretically and experimentally beyond a trace of a doubt.
From the preceding analysis, we see that a most intriguing duality or maybe what we could call analogies among analogies as befitting a self affine universe exists, which we could represent as earlier in Section 2:
(10)
However, this is not yet where things end for there are some even deeper interrelationships not only between time and matter but also between mater expressed as mass and space as well as spacetime dimensionality. It turns out that a unit of dimensionless energy corresponds to a unit of Cantorian spacetime and that tangible and directly detectable mass (m) enters into our equations as a three dimensional, i.e. space-like Cantor set given by the treble intersection. This means “measurable” mass is the inverse of the core Hausdorff dimension  of our Cantorian de Sitter spacetime. By contrast dark matter enters into our equation as a five dimensional topological mass m = 5. Recalling that the interval topological speed of light is given by, we see that we must have two kinds of energy densities, namely
(11)
and
(12)
which then leads to the two expressions for ordinary energy  and dark energy. Naturally and provided we remember that  is the Hausdorff dimension of the zero set while  is the Hausdorff dimension of the empty set, both expressions, i.e. and  could be viewed as having been grown out of a five dimensional Kaluza-Klein theory with the only difference that  is a multiplicative, i.e., while  is additive, i.e. as explained in great detail in previous publications [17] - [22] [43] .
The classical Regge method of relativity is transformed using Gauss-Bolyai-Lobachevsky hyperbolic geometry to the context of quantum relativity and cosmology to give information about the accelerated cosmic expansion and the associated dark energy density. The task was achieved by transforming the method to the hyperbolic plane and using Rindler-like triangles to form a random self similar fractal tiling akin to that of Klein-Penrose. The final conclusion is that our model effectively represents a fractal de Sitter universe with ordinary measurable exo-physical energy density of  and a complimentary endo-physical dark energy [48] [49] density which cannot be measured directly and amounts to. We stress that all the preceding results could not be arrived at without the experimentally verified magnificent result of L. Hardy that a two quantum particle entanglement is given by  where  and the interpretation that this is due to zero measure topological entanglement [22] . In fact, we are tempted to speculate on the imaginative but quite realistic idea that computational efficiency may be related to entanglement and consequently to a hidden golden mean number system [61] [62] .
  1. Regge, T. (1961) General Relativity without Coordinates. Il Nuovo Cimento Series 10, 19, 558-571.
  2. Regge, T. and Wheeler, J.A. (1957) Stability of Schwarzschild Singularity. Physics Review, 108, 1063. http://dx.doi.org/10.1103/PhysRev.108.1063
  3. Misner, C., Thorne, K. and Wheeler, J. (1973) Gravitation. Freeman, New York.
  4. El Naschie, M.S. (2007) The Fibonacci Code Behind Superstrings and P-Branes. An Answer to M. Kaku’s Fundamental Question. Chaos, Solitons & Fractals, 31, 537-547.http://dx.doi.org/10.1016/j.chaos.2006.07.001
  5. El Naschie, M.S. (2013) The Quantum Gravity Immirzi Parameter―A General Physical and Topological Interpretation. Gravity and Cosmology, 19, 151-153.http://dx.doi.org/10.1134/S0202289313030031
  6. El Naschie, M.S. (2005) Einstein’s Dream and Fractal Gravity. Chaos, Solitons & Fractals, 24, 1-5. http://dx.doi.org/10.1016/j.chaos.2004.09.001
  7. El Naschie, M.S. (2001) Fisher’s Scaling and Dualities at High Energy in E-infinity Spaces. Chaos, Solitons & Fractals, 12, 1557-1561. http://dx.doi.org/10.1016/S0960-0779(00)00127-2
  8. Argyris, J., Ciubotariu, C. and Weingartner, W.E. (1999) Progress in Physical Concepts and Strings and Superstring Theory―Thirty Years of String Theory. Chaos, Solitons & Fractals, 10, 225-256. http://dx.doi.org/10.1016/S0960-0779(98)00320-8
  9. Marek-Crnjac, L. and El Naschie, M.S. (2013) Chaotic Fractal Tiling for the Missing Dark Energy and VenezianoModel. Applied Mathematics, 4, 22-29.http://dx.doi.org/10.4236/am.2013.411A2005
  10. Sidharth, B.G. (2006) Strings and Planck Oscillator. Chaos, Solitons & Fractals, 30, 300-311. http://dx.doi.org/10.1016/j.chaos.2006.01.114
  11. El Naschie, M.S. (2014) Compactified Dimensions as Produced by Quantum Entanglement, the Four Dimensionality of Einstein’s Smooth Spacetime and ‘t Hooft’s 4-ε Fractal Spacetime. American Journal of Astronomy & Astrophysics, 2, 34-37.http://dx.doi.org/10.11648/j.ajaa.20140203.12
  12. El Naschie, M.S. (2013) Dark Energy of the Quantum Hawking-Hartle Wave of the Cosmos from the Holographic Boundary and Lie Symmetry Groups―Exact Computation and Physical Interpretation. Fractal Spacetime and Noncommutative Geometry in Quantum High Energy Physics, 3, 11-20.
  13. Jurkiewicz, A.J. and Loll, R. (2008) The Self-Organizing Quantum Universe. Scientific American, 24-31.
  14. El Naschie, M.S. (2013) A Rindler-KAM Spacetime Geometry and Scaling the Planck Scale Solves Quantum Relativity and Explains Dark Energy. International Journal of Astronomy and Astrophysics, 3, 483-493. http://dx.doi.org/10.4236/ijaa.2013.34056
  15. Supernova Cosmology Project Collaboration, Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R.A., Nugent, P., Castro, P.G., et al. (1999) Measurements of Omega and Lambda from 42 High-Redshift Supernova. Astrophysical Journal, 517, 565-585.
  16. Panek, R. (2010) Dark Energy: The Biggest Mystery in the Universe. The Smithsonian Magazine. http://www.smithsonianmagazine.com/science-nature/Dark-Energy-April.
  17. El Naschie, M.S. (2014) On a New Elementary Particle from the Disintegration of the Symplectic’t Hooft-Veltman- Wilson Fractal Spacetime. World Journal of Nuclear Science and Technology, 4, 216-221. http://dx.doi.org/10.4236/wjnst.2014.44027
  18. El Naschie, M.S. (2014) Material Einstein Space-Time Produces Accelerated Cosmic Expansion. International Journal of Astronomy and Astrophysics, 4, 80-90.http://dx.doi.org/10.4236/ijaa.2014.41009
  19. Helal, M.A., Marek-Crnjac, L. and He, J-H. (2013) The Three Page Guide to the Most Important Results of M.S. El Naschie’s Research in E-Infinity Quantum Physics and Cosmology. Open Journal of Microphysics, 3, 141-145.http://dx.doi.org/10.4236/ojm.2013.34020
  20. Marek-Crnjac, L. and He, J-H. (2013) An Invitation to El Naschie’s Theory of Cantorian Space-Time and Dark Energy. International Journal of Astronomy and Astrophysics, 3, 464-471. http://dx.doi.org/10.4236/ijaa.2013.34053
  21. Auffray, J.P. (2014) E-Infinity Dualities, Discontinuous Spacetimes, Xonic Quantum Physics and the Decisive Experiment. Journal of Modern Physics, 5, 1427-1436.http://dx.doi.org/10.4236/jmp.2014.515144
  22. El Naschie, M.S. (2011) Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry. Journal of Quantum Information Science, 1, 50-53.http://dx.doi.org/10.4236/jqis.2011.12007
  23. Amendola, L. and Tsujikawa, S. (2010) Dark Energy: Theory and Observations. Cambridge University Press, Cambridge.
  24. El Naschie, M.S. (2013) A Resolution of Cosmic Dark Energy via a Quantum Entanglement Relativity Theory. Journal of Quantum Information Science, 3, 23-26.http://dx.doi.org/10.4236/jqis.2013.31006
  25. El Naschie, M.S. (2006) Elementary Prerequisites for E-Infinity (Recommended Background Readings in Nonlinear Dynamics, Geometry and Topology). Chaos, Solitons & Fractals, 30, 579-605. http://dx.doi.org/10.1016/j.chaos.2006.03.030
  26. El Naschie, M.S. (2008) Extended Renormalizations Group Analysis for Quantum Gravity and Newton’s Gravitational Constant. Chaos, Solitons & Fractals, 35, 425-431.http://dx.doi.org/10.1016/j.chaos.2007.07.059
  27. El Naschie, M.S. (2008) Transfinite Harmonization by Taking the Dissonance out of the Quantum Field Symphony. Chaos, Solitons & Fractals, 36, 781-786.http://dx.doi.org/10.1016/j.chaos.2007.09.018
  28. El Naschie, M.S. (2004) A Review of E-Infinity and the Mass Spectrum of High Energy Particle Physics. Chaos, Solitons & Fractals, 19, 209-236.http://dx.doi.org/10.1016/S0960-0779(03)00278-9
  29. El Naschie, M.S. (2006) Elementary Number Theory in Superstring Loop Quantum Mechanics, Twistors and E-Infi- nity High Energy Physics. Chaos, Solitons & Fractals, 27, 297-330. http://dx.doi.org/10.1016/j.chaos.2005.04.116
  30. El Naschie, M.S. (2006) Intermediate Prerequisites for E-Infinity Theory. Chaos, Solitons & Fractals, 30, 622-628. http://dx.doi.org/10.1016/j.chaos.2006.04.042
  31. El Naschie, M.S. (2006) Advanced Prerequisites for E-Infinity Theory. Chaos, Solitons & Fractals, 30, 636-641. http://dx.doi.org/10.1016/j.chaos.2006.04.044
  32. El Naschie, M.S. (2006) Topics in the Mathematical Physics of E-Infinity Theory. Chaos, Solitons & Fractals, 30, 656-663. http://dx.doi.org/10.1016/j.chaos.2006.04.043
  33. El Naschie, M.S. (2009) The Theory of Cantorian Spacetime and High Energy Particle Physics (an Informal Review). Chaos, Solitons & Fractals, 41, 2635-2646.http://dx.doi.org/10.1016/j.chaos.2008.09.059
  34. El Naschie, M.S., Olsen, S, He, J-H., Marek-Crnjac, L., Nada, S.I. and Helal, M.A. (2012) On the Need for Fractal Logic in High Energy Quantum Physics. Fractal Spacetime & Noncommutative Geometry in Quantum & High Energy Physics, 2, 80-92.
  35. El Naschie, M.S. (2013) The Hyperbolic Extension of Sigalotti-Hendi-Sharifzadeh’s Golden Triangle of Special Theory of Relativity and the Nature of Dark Energy. Journal of Modern Physics, 4, 354-356. http://dx.doi.org/10.4236/jmp.2013.43049
  36. Connes, A. (1994) Noncommutative Geometry. Academic Press, San Diego.
  37. El Naschie, M.S. (2008) From Classical Gauge Theory Back to Weyl Scaling via E-Infinity Spacetime. Chaos, Solitons & Fractals, 38, 980-985.http://dx.doi.org/10.1016/j.chaos.2008.05.017
  38. Marek-Crnjac, L. (2003) The Mass Spectrum of High Energy Elementary Particles via El Naschie’s E-Infinity Golden Mean Nested Oscillators and the Dunkerly Southwell Eigenvalue Theorems and KAM. Chaos, Solitons & Fractals, 18, 125-133.http://dx.doi.org/10.1016/S0960-0779(02)00587-8
  39. Penrose, R. (2004) The Road to Reality. Jonathan Cape, London.
  40. He, J-H. (2005) Transfinite Physics. China Culture & Science Publishing, Beijing.
  41. ‘t Hooft, G. (1997) In Search of the Ultimate Building Blocks. Cambridge University Press, Cambridge.
  42. Wikipedia-Matter (2014) Pie Charts Showing the Fractions of Energy in the Universe. Contributed by Different Sources. http://en.wikipedia.org/wiki/Matter
  43. El Naschie, M.S., He, J-H., Nada, S.I., Marek-Crnjac, L. and Helal, M. (2012) Golden Mean Computer for High Energy Physics. Fractal Spacetime and Noncommutative Geometry in Quantum and High Energy Physics, 2, 80-92.
  44. Beck, G, Bethe, H. and Riezler, W. (1931) Remarks on Quantum Theory of the Absolute Zero Temperature. Die Naturwissenschaften, 2, 38-39. (In German)
  45. El Naschie, M.S. (2006) The Unreasonable Effectiveness of the Electron-Volt Units System in High Energy Physics and the Role Played by. International Journal of Nonlinear Sciences and Numerical Simulation, 7, 119-128. >http://html.scirp.org/file/4-1300139x59.png" class="200" />. International Journal of Nonlinear Sciences and Numerical Simulation, 7, 119-128. http://dx.doi.org/10.1515/IJNSNS.2006.7.2.119
  46. El Naschie, M.S. (2006) On the Vital Role Played by the Electron-Volts Units System in High Energy Physics and Mach’s Principle of “Denkökonomie”. Chaos, Solitons & Fractals, 28, 1366-1371. http://dx.doi.org/10.1016/j.chaos.2005.11.001
  47. Zhong, T. (2009) From the Numeric of Dynamics to the Dynamics of Numeric and Visa Versa in High Energy Particle Physics. Chaos, Solitons & Fractals, 42, 1780-1783.http://dx.doi.org/10.1016/j.chaos.2009.03.079
  48. El Naschie, M.S. (2007) On the Topological Ground State of E-Infinity Spacetime and the Super String Connection. Chaos, Solitons & Fractals, 32, 468-470.http://dx.doi.org/10.1016/j.chaos.2006.08.011
  49. Devaney, R.L. (1989) Chaotic Dynamical Systems. Addison-Wesley, New York.
  50. Bhatia, N.P. and Egerland, W. (1988) A Refinement of Sarkovski’s Theorem. Proceedings of the American Mathematical Society, 102, 965-972.
  51. MacGregor, M.H. (2007) The Power of Alfa (α)-Electron Elementary Particle Generation With α-Quantized Lifetime and Masses. World Scientific, Singapore.
  52. Li, T. and Yorke, J. (1975) Period Three Implies Chaos. The American Mathematical Monthly, 82, 985-992. http://dx.doi.org/10.2307/2318254
  53. Rössler, O.E. (1998) Endophysics, World Scientific, Singapore.http://dx.doi.org/10.1142/3183
  54. El Naschie, M.S. (2001) On a General Theory for Quantum Gravity. In: Diebner, H., Druckrey, T. and Weibel, P., Eds., Science of the Interface, GenistaVerlag, Tübingen.
  55. Addison, P.S. (1997) Fractals and Chaos: An Illustrated Course. Institute of Physics, Bristol.
  56. El Naschie, M.S. (1991) Peano Dynamics as a Model for Turbulence and Strange Nonchaotic Behaviour. Acta Physica Polonica A, 80, 1-13.
  57. El Naschie, M.S. (2007) Feigenbaum Scenario for Turbulence and Cantorian E-Infinity Theory of High Energy Particle Physics. Chaos, Solitons & Fractals, 32, 911-915.http://dx.doi.org/10.1016/j.chaos.2006.08.014
  58. El Naschie, M.S. (2002) Determining the Temperature of Microwave Background Radiation from the Topology of Geometry of Spacetime. Chaos, Solitons & Fractals, 14, 1121-1126.http://dx.doi.org/10.1016/S0960-0779(02)00172-8
  59. El Naschie, M.S. (2009) On Zero Dimensional Points Curvature in the Dynamics of Cantorian-Fractal Spacetime Setting and High Energy Particle Physics. Chaos, Solitons & Fractals, 41, 2725-2732. http://dx.doi.org/10.1016/j.chaos.2008.10.001
  60. El Naschie, M.S. (2005) ‘t Hooft Ultimate Building Blocks and Spacetime as an Infinite Dimensional Set of Transfinite Discrete Points. Chaos, Solitons & Fractals, 25, 521-524.http://dx.doi.org/10.1016/j.chaos.2005.01.022
  61. Pati, A.K. and Brauenstein, S.L. (2009) Role of Entanglement in Quantum Computation. Indian Institute of Science Journal (Special Issue), 89, 295.
  62. Pati, A.K. (2006) Entanglement Guides Quantum Computation. In: Goswami, D., Ed., Quantum Coupling, Back Action, AIP Publication, College Park, Vol. 864, 114-126.
  63. Agrawal, P. and Pati, A.K. (2006) Perfect Teleportation and Superdense Coding with W-State. Physics Review A, 74, Article ID: 062320.http://dx.doi.org/10.1103/PhysRevA.74.062320

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