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Journal : ARIKA

THE MATHEMATICAL BASIS FOR DETERMINISTIC QUANTUM MECHANICS AND APPLICATION TO HARMONIC OSCILLATORS Samy J. Litiloly
ARIKA Vol 7 No 1 (2013)
Publisher : Industrial Engineering Study Program, Pattimura University

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Abstract

The concept of deterministic theory underlying quantum mechanics, usually referred to as “hidden variable theories”. For instance, one may or may not assume the occurence of information loss at tiny distance scales. One may suspect some sort of cellular automaton or a classical system of continuous fields, or even classical loops, D-branes, or whatever. We discuss Gerardus ‘t Hooft idea that refer to as pre-quantization, where the physical system is not modified and complex systems are handled probabilistically. Our results for harmonic oscillators indicate that the energy eigenstates of a quantum system are going to be nice. The next one urgent question must be answered is how to construct explicit models in which energy can be seen extrinsic and how can we find its limit cycles. An atractive related problem that found by us is how to introduce weak interactions between two nearly independent systems.
Complex Transformations to Solve Cosmological Constant Problem Samy J. Litiloly
ARIKA Vol 6 No 2 (2012)
Publisher : Industrial Engineering Study Program, Pattimura University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (250.347 KB)

Abstract

In this paper, a new symmetry argument in a vacuum state with strictly vanishing vacuum energy has been studied. This argument exploits the well-known feature that deSitter and Anti-deSitter space are related by analytic continuation in complex analysis. When we drop boundary and hermiticity conditions on quantum fields, we get as many negative as positive energy states, which are related by transformations to complex space. In this case, we have explored indirectly a new perspective to solve cosmological constant problem.