In this book we present the hypothesis that there is no speed barrier in the universe - thus refuting the speed of light postulate. While Einstein considered a relative space and relative time but the ultimate speed of light, we do the opposite: we consider an absolute time and absolute space but no ultimate speed, and we call it the Absolute Theory of Relativity (ATR). We then parameterize Einstein’s thought experiment with atomic clocks, supposing

In this book, we introduce a new procedure called α- Discounting Method for Multi-Criteria Decision Making (α-D MCDM), which is as an alternative and extension of Saaty’s Analytical Hierarchy Process (AHP). It works for any number of preferences that can be transformed into a system of homogeneous linear equations. A degree of consistency (and implicitly a degree of inconsistency) of a decision-making problem are defined. α-D MCDM is afterwards

Research papers presented in this collection manifest only a few of many possible applications of neutrosophic logics to theoretical physics. Most of these applications target the theory of relativity and quantum physics, but other sections of physics are also possible to be considered. One may say that these are no many. However this is only the first small step along the long path. We just opened the gate at. I believe that, after years, neutrosophic

Since no fusion theory neither fusion rule fully satisfy all needed applications, the author has proposed since 2004 a Unification of Fusion Theories and a Unification / Combination of Fusion Rules in solving problems/applications. For each particular application, one selects the most appropriate fusion space and fusion model, then the rules, and algorithms of implementation. We are working in the Unification of the Fusion Theories and Rules (UFTR),

Neutrosophic Statistics is an extension of the classical statistics. While in classical statistics the data is known, formed by crisp numbers, in neutrosophic statistics the data has some indeterminacy. In the neutrosophic statistics, the data may be ambiguous, vague, imprecise, incomplete, even unknown. Instead of crisp numbers used in classical statistics, one uses sets (that respectively approximate these crisp numbers) in neutrosophic statistics.

Neutrosophic Over--/Under-/Off-Set and -Logic were defined for the first time by the author in 1995 and presented to various international and national conferences and seminars between 1995-2016 and first time published in 2007. They are totally different from other sets/logics/probabilities/statistics. We extended the neutrosophic set respectively to Neutrosophic Overset {when some neutrosophic component is > 1}, Neutrosophic Underset {when some

The first part of this book focuses on Neutrosophic Precalculus, which studies the neutrosophic functions. A Neutrosophic Function : → is a function which has some indeterminacy, with respect to its domain of definition, to its range, or to its relationship that associates elements in with elements in . As particular cases, we present the neutrosophic exponential function and neutrosophic logarithmic function. The neutrosophic inverse function

We approach several themes of classical geometry of the circle and complete them with some original results, showing that not everything in traditional math is revealed, and that it still has an open character. The topics were chosen according to authors’ aspiration and attraction, as a poet writes lyrics about spring according to his emotions. http://fs.gallup.unm.edu/CirclesGeometry.pdf

Two clocks C1 and C2 are synchronized on the earth. Then clock C2 is ying with a uniform speed at an altitude h >0 above the earth. 1. According to the Special Theory of Relativity there is symmetry of time dilation between C1 and C2. 2. But, according to the General Theory of Relativity, there is an asymmetry of time between C1 and C2, since the clock C1 is running slower down in the gravitational eld than the clock C2 which is running faster

Neutrosophic Statistical Mechanics is the theory in which, using the neutrosophic statistical behavior of the constituent particles of a macroscopic system, are predicted the approximate properties of this macroscopic system. Neutrosophic Statistics means statistical analysis of population or sample that has indeterminate (imprecise, ambiguous, vague, incomplete, unknown) data. For example, the population or sample size might not be exactly determinate