On the Comparison of the Quantum and Relativity Theories

CUI Weicheng, LI Rong, PAN Lingli

The New General System theory was developed to be a theory of everything for complex systems within the world we can observe.This theory was constructed by supplementing a new mind-ether ontology into Bertalanffy's general system theory framework.This theory is basically a generalization of classical mechanics rather than a revolution to it taken both by Einstein and Bohr in developing their relativity theory and quantum mechanics.The purpose of this paper is to reveal the reasons why Einstein and many others fail to unify relativity theory with quantum mechanics through comparing the main differences in philosophical opinions among NGST, Einstein, and Bohr.It is the hope of the authors that this clarification could speed up the unification process.

Saeed Naif Turki Al-Rashid, Mohammed A. Z. Habeeb, Khalid A. Ahmad

In the present work, and along the lines of Hermann, ScR theory is applied to a finite one-dimensional square well potential problem. The aim is to show that scale relativity theory can reproduce quantum mechanical results without employing the Schrödinger equation. Some mathematical difficulties that arise when obtaining the solution to this problem were overcome by utilizing a novel mathematical connection between ScR theory and the well-known Riccati equation. Computer programs were written using the standard MATLAB 7 code to numerically simulate the behavior of the quantum particle in the above potential utilizing the solutions of the fractal equations of motion obtained from ScR theory. Several attempts were made to fix some of the parameters in the numerical simulations to obtain the best possible results in a practical computer CPU time within limited local computer facilities [1,2]. Comparison of the present results with the corresponding results obtained from conventional quantum mechanics by solving the Schrödinger equation, shows very good agreement. This agreement was improved further by optimizing the parameters used in the numerical simulations [1,3]. This represents a new example where scale relativity theory, based on a fractal space-time concept, can accurately reproduce quantum mechanical results without invoking the Schrödinger equation.

Matthias Ackermann

Everett’s Relative State Formulation of Quantum Mechanics and Rovelli’s Relational Quantum Mechanics are two eminently interesting and impactful presentations of what the world of quantum mechanics is like. Beginning with a depiction of the theories and their physical implications I conclude with a comparison of their respective picture of reality. I propose here that by letting philosophical deliberations be guided by the very statements from within the theories, one arrives at a structural realist picture of what our world is like.