Volume 2, Number 1/2013 (Special Issue) ISSN: X. ABC Journals

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(Special Issue) ISSN: 2305-915X ABC Journals Online Submission Peer Reviewed Open Access Online Archives Paperless Review Prompt Feedback Global Circulation International Authorship Asian Business Consortium AJASE Page 1

Asian Business Consortium realizes the meaning of fast publication to researchers, particularly to those working in competitive and dynamic fields. Hence, we offer an exceptionally fast publication schedule including web based & paper less prompt peer-review by the experts in the field and immediate publication upon acceptance. Asian Business Consortium AJASE Page 2

ASIAN JOURNAL OF APPLIED SCIENCE AND ENGINEERING International Standard Serial Number: 2305-915X (Print) International Standard Serial Number: 2307-9584 (Online) Established: 2012 www.ajase-bd.weebly.com Review Process: Blind peer-review Published by Asian Business Consortium Copyright Reproduction in any form or by any means of any part of this production requires the written permission of the publishers. All communication should be addressed to the Managing Editor, AJASE Email: abcjournals@gmail.com Asian Business Consortium www.abcreorg.weebly.com Asian Business Consortium AJASE Page 3

We are working closely with many other major databases to get AJASE indexed, including EBSCO, EI Compendex, CAS, ProQuest, DOAJ, ISI, Ulrich s, EBSCO, Scopus etc. We will gradually publish the index information of the journal and try to have a good impact factor for AJASE. www.ajase-bd.weebly.com Asian Business Consortium AJASE Page 4

Consulting Editor EDITORIAL BOARD Editor-in-chief Dr. Asma Ahmad Shariff Center for Foundation Studies in Science, University of Malaya, Malaysia Managing Editor Dr. Alim Al Ayub Ahmed Faculty of Business, ASA University Bangladesh Vice President, Asian Business Consortium Dr. Md. Amin Uddin Mridha King Saud University, Saudi Arabia (Plant Production) Dr. Bensafi Abd-El-Hamid Abou Bekr Belkaid University of Tlemcen, Algeria (Chemical Engineering & Polymer Chemistry) Dr. Iqbal Hossain ASA University Bamgladesh, Bangladesh (Statistics) Dr. Vinai K. Singh Raj Kumar Goel Engineering College, INDIA (Bio mathematics & Remedial Mathematics) Dr. Shahzad Ali Khan Quaid-e-Azam University, Pakistan (Health Systems & Policy) Dr. Hasan Mahmud Reza North South University, Bangladesh (Pharmacy) Dr Pankaj Indus International University, India (Mathematics) Dr. Mohammad Anwar Hossain Bangladesh Agricultural University, Bangladesh (Genetics & Plant Breeding) Dr. Gulzar A. Khuwaja King Faisal University, Saudi Arabia (Computer Engineering) Dr. Halenar Igor Slovak University of Technology in Bratislava, Slovakia (Architecture) Dr. Mohammad Hadi Dehghani Tehran University of Medical Sciences, Iran (Environmental Toxicology & Nanotechnology) Dr. Suresh B. Rana University of Oklahoma, USA (Medical Physics) Dr. Osman Goni Talukdar Varendra University, Bangladesh (Theoretical Physics) Dr. Lutfar Rahman Rajshahi University Bangladesh (Mathematics) Dr. Vuda Sreenivasarao Bahir Dar University, Ethiopia (Electrical Engineering) Dr. Mojtaba Moradi University of Guilan, Iran (Stochastic Processes) Dr. Arun Kumar Gupta University of Roorkee, India (Computer Programing) Dr Sudhir K Samantaray Panjab University, India (Psychology) Dr. M. Abul Kalam Azad Rajshahi University, Bangladesh (Applied Mathematics) Dr. Md. Fazlul Babi University Sains Malaysia (USM), Malaysia (Material Science) Dr. Mohammad Ali Shariati Isfahan University of Technology, Iran (Food Science and Technology) The Editorial Board assumes no responsibility for the content of the published articles. Asian Business Consortium AJASE Page 5

AJASE adopt a blinded review policy. Authors are blind to reviewers. Typically, the review period is within 6 weeks. If authors do not receive a decision letter by email in 8 weeks after the submission, the corresponding author may send an email to inquire the status of their submission. If you need a shorter review period due to special circumstances, you may request such along with your explanation of the situation by email; however, AJASE cannot guarantee granting the request because high quality judgment of scientific work in short time is a challenge. Asian Business Consortium AJASE Page 6

Asian Journal of Applied Science and Engineering Blind Peer-Reviewed Journal Contents Reciprocal Symmetric Kinematics and Correspondence between Special Relativity and Quantum Mechanics Mushfiq Ahmad 09-15 Correspondence between Reciprocity and Discreteness 16-19 Mushfiq Ahmad, M.O.G. Talukder Reciprocal Symmetry Quantum Statistics and Spin 20-25 Mushfiq Ahmad, M.O.G. Talukder Relativistic Rule of Multiplication of Velocities Consistent with Lorentz Einstein Law of Addition and Derivation of the Missing Equations of Special Relativity M.O.G. Talukder, Mushfiq Ahmad 26-41 Incompatibility between Einstein's Postulate and Special Theory of Relativity 42-47 Mushfiq Ahmad, M.O.G. Talukder Non-Associativity of Lorentz Transformation and Associative Reciprocal Symmetric Transformation Mushfiq Ahmad, Muhammad Shah Alam, M.O.G. Talukder Derivation of the Missing Equations of Special Relativity from de-broglie s Matter Wave Concept and the Correspondence between Them M.O.G. Talukder, Mushfiq Ahmad Derivation of Non-Einsteinian Relativistic Equations from Momentum Conservation Law M.O.G. Talukder Wave Particle Dualism for Both Matter and Wave and Non-Einsteinian View of Relativity M.O.G. Talukder, Mushfiq Ahmad 48-56 57-68 69-79 80-91 Homogeneous Number System and Reciprocal Symmetric Algebra 92-99 Mushfiq Ahmad Neutrino Traveling Faster than Light and Einsteinian and non-einsteinian views of relativity M.O.G. Talukder, Mushfiq Ahmad 100-108 Asian Business Consortium AJASE Page 7

Faster than the speed of light, reciprocal velocity and quantum mechanics Planck's hypothesis sets a lower limit (to energy). Einstein's postulate sets an upper limit (to speed). If a particle has velocity v, the corresponding de Broglie wave has velocity c 2 /v. Therefore, de Broglie wave velocities fulfill Einstein's reciprocal postulate -- No speed can be less than the speed of light. Planck and de Broglie suggest a reciprocal relation between quantum mechanics and special relativity. From velocity v=x/t we can obtain the reciprocal velocity t/x by interchanging between x and t. Asian Business Consortium AJASE Page 8