Concerning an Algorithmic Approach to Euclidian Geometry and Everettian Quantum Theory

We introduce an algorithmic approach to Euclidian geometry6 which provides an experimental framework involving Euclidean constructions and deconstructions thus enabling a foundation2,12 for testing Everett’s interpretation of quantum theory4,5. We contend that the cosmos be modelled as the advance in space time until some event occurs leading to the termination of some phenomenon, in the sense of the algorithmic halting problem14. Our approach involves iterative geometrical constructions using Euclid’s proposition 3 which are equivalent to a Turing machine. Our conjecture is that the postulates of Euclidean geometry, for which we require particular extensions to postulates 2 and 310, are physical principles, and also that our algorithmic approach is identical to quantum theory4,5. We suggest that our conjecture concerning quantum theory and the second law of thermodynamics is that they are mutually dependent, this too being a principle. We suggest a unifying theory for gravitation and sub atomic particles2,7,11,12. We propose a new experiment: the investigation of anomalies in astronomical observations with as example the phenomenon of black holes disappearing when galaxies collide with or without gravitational wave emission8.

Entropy and fractal nature

Existing, the biunivocal correspondents between the fractal nature and the nature discovered by fractals is the source and meeting point from those two aspects which are similar to the thermodynamically philosophical point of view. Sometimes we can begin from the end. We are substantial part of such fractals space nature. The mathematics fractal structures world have been inspired from nature and Euclidian geometry imagined shapes, and now it is coming back to nature serving it. All our analysis are based on several experimental results. The substance of the question regarding entropy and fractals could be analyzed on different ceramics and materials in general. We have reported the results based on consolidation BaTiO3- ceramics by the standard sintering technology, performed with BaTiO3 and different additives (MnCO3, CeO2, Bi2O3, Fe2O3, CaZrO3, Nb2O5, Er2O3, Yt2O3, Ho2O3). Thermodynamic principles are very important. Beside the energy and temperature, the entropy as a measure between the order and disorder (chaos) is very important parameter. In this paper, we establish the relation between the entropy and fractal that opens new frontiers with the goal to understand and establish the order-disorder relation.

Taxicab Geometry Based Analysis on Skyline for Business Intelligence

This article describes how multi-criteria decision making problems are difficult to handle in normal SQL query processing. Skyline computation is generally used to solve these types of requirements by using dominance analysis and finding shortest distance with respect to a prime interesting point. However, in real life scenarios shortest distance may not be applicable in most of the cases due to different obstacles or barriers exist between the point of interests or places. In order to consider the presence of obstacles for geographically dispersed data, this research work uses Taxicab geometry for distance calculation, which is a simple Non-Euclidian geometry with minimum time complexity. Another limitation of previous skyline based works are that they only focus upon a single interesting point and can't be apply for multiple interesting points. This research article focuses upon multiple visiting points for the travelers in an optimized way. In addition to this, the article also selects areas for setting up of new business properties considering the constraints.

Symmetries

The concept of symmetry plays a central role in our understanding of the fundamental laws of Nature. Through a deep mathematical theorem due to A.E. Noether, all conservation laws of classical physics are related to symmetries. In this chapter we start from the intuitively obvious notions of translation and rotation symmetries which are part of the axioms of Euclidian geometry. Following W. Heisenberg, we introduce the idea of isospin as a first example of an internal symmetry. A further abstraction leads to the concept of a global versus local, or gauge symmetry, which is a fundamental property of General Relativity. Combining the notions of internal and gauge symmetries we obtain the Yang-Mills theory which describes all fundamental interactions among elementary particles. A more technical part, which relates a gauge symmetry of the Schrödinger equation of quantum mechanics to the electromagnetic interactions, is presented in a separate section and its understanding is not required for the rest of the book.

Putting the Event in its Place: Territories, Bodies, Thresholds

The purpose of our paper is to re-conceive the event and the site of the event as a relational environment of immanence occupied by invention in its processual emergence using the work of Deleuze and Guatarri, Massumi, Simondon and Whitehead. The event is usually understood as an activity “taking place” in a bounded container—a room—explicated in terms of Euclidian geometry and a Newtonian conception of space and time. This place within absolute space expresses potential for activity where naming its purpose conditions its teleological intent and functionally defines the event it can contain. Instead, we propose a conception of the space of the event as the locus of inclusion created by neighbourhoods of relational participation as process. This allows us to understand the event as a dynamic cohesion composed of the inter-penetration of immanent co-arisings of territorialities and bodies which constitute an individuated spacetime. Territorialities are understood as active, conditioned expanses of relation that go beyond the internalism/externalism debate: they are mappings of fuzzy-bounded, gradated zones of relational intensities. Bodies (human and non-human alike) are no longer pre-constituted static entities mechanically interacting with each other; they become dynamic individuations of a reciprocal, recursive relational causality within fields of experience. At the intersection of overlapping territorializations and bodies, thresholds must be crossed for the operative-self-solidarity to take place. Thus, the event becomes an immanent, coherent whole, where the process of coming-to-being requires a spatio-temporal convergence, a contemporaneous coming together of territories and bodies within the associated milieu.