Mathematical Physics

1207 Submissions

[4] viXra:1207.0089 [pdf] replaced on 2012-09-07 09:16:02

Electrical Maxwell Demon and Szilard Engine Utilizing Johnson Noise, Measurement, Logic and Control

Authors: Laszlo B. Kish, Claes-Göran Granqvist
Comments: 17 Pages. Accepted for publication in PLOS ONE (September 6, 2012)

We introduce a purely electrical version of Maxwell’s demon which does not involve mechanically moving parts such as trapdoors, etc. It consists of a capacitor, resistors, amplifiers, logic circuitry and electronically controlled switches and uses thermal noise in resistors (Johnson noise) to pump heat. The only types of energy of importance in this demon are electrical energy and heat. We also demonstrate an entirely electrical version of Szilard’s engine, i.e., an information-controlled device that can produce work by employing thermal fluctuations. The only moving part is a piston that executes work, and the engine has purely electronic controls and it is free of the major weakness of the original Szilard engine in not requiring removal and repositioning the piston at the end of the cycle. For both devices, the energy dissipation in the memory and other binary informatics components are insignificant compared to the exponentially large energy dissipation in the analog part responsible for creating new information by measurement and decision. This result contradicts the view that the energy dissipation in the memory during erasure is the most essential dissipation process in a demon. Nevertheless the dissipation in the memory and information processing parts is sufficient to secure the Second Law of Thermodynamics.
Category: Mathematical Physics

[3] viXra:1207.0059 [pdf] submitted on 2012-07-16 02:49:37

Fractional Circuit Elements: Memristors, Memcapacitors, Meminductors and Beyond

Authors: Xiong Wang
Comments: 2 Pages.

Memristor was postulated by Chua in 1971 by analyzing mathematical relations between pairs of fundamental circuit variables and realized by HP laboratory in 2008. This relation can be generalized to include any class of two-terminal devices whose properties depend on the state and history of the system. These are called memristive systems, including current-voltage for the memristor, charge-voltage for the memcapacitor, and current-flux for the meminductor. This paper further enlarge the family of elementary circuit elements, in order to model many irregular and exotic nondifferentiable phenomena which are common and dominant to the nonlinear dynamics of many biological, molecular and nanodevices.
Category: Mathematical Physics

[2] viXra:1207.0036 [pdf] submitted on 2012-07-11 00:23:09

The Conceptual Basis for Multidimensional Physics

Authors: Alexander Egoyan
Comments: 10 Pages.

In this work a conceptual basis for multidimensional physics (MD physics) is proposed. The new physics is based on the elastic model of multidimensional geometry [1]. Reality may be considered as the process of time evolution of holistic macro objects - elastic membranes. An embedded membrane in this multidimensional world will look different for the external and internal observers: from the outside it will look like a material object with smooth infinitesimal geometry, while from the inside our Universe-like space-time fabric. When interacting with elementary particles and other membranes, a membrane will transform their energy into its elastic energy (a new form of energy) - the energy of stretching of the infinitesimal segments. For example, living organisms play the role of internal observers of the Universe, and at the same time they serve as external observers for 2D membranes embedded into our Universe. A new explanation of gravity and cosmological aspects are also discussed.
Category: Mathematical Physics

[1] viXra:1207.0032 [pdf] submitted on 2012-07-09 04:04:07

Uncertainty Principle of Mathematics

Authors: Mourici Shachter
Comments: 5 Pages.

This short paper prove that mathematically, Reality is not real . This short paper is not about Heisenberg's uncertainty principle of quantum physics. There is another uncertainty principle that depends solely on mathematical arguments and explains why our world can't be easily equated. Or more accurately can be describe in infinitely different ways all of those representations are mathematically correct. Which mean that the representation of any physical phenomena is not unique. . Given an example how to use it to solve complicate problems in engineering
Category: Mathematical Physics