A quantum gravity tensor equation formally integrating general relativity with quantum mechanics

Optical interpretation of special relativity and quantum mechanics

The present work shows that through a suitable change of variables relativistic dynamics can be mapped to light propagation in a non-homogeneous medium. A particle's trajectory through the modified space-time is thus formally equivalent to a light ray and can be derived from a mechanical equivalent of Fermat's principle. The similarities between light propagation and mechanics are then extended to quantum mechanics, showing that relativistic quantum mechanics can be derived from a wave equation in modified space-time. Non-relativistic results, such as de Broglie's wavelength, Schroedinger equa…

Relativity as the quantum mechanics of space-time measurements

Can a simple microscopic model of space and time demonstrate Special Relativity as the macroscopic (aggregate) behavior of an ensemble ? The question will be investigated in three parts. First, it is shown that the Lorentz transformation formally stems from the First Relativity Postulate (FRP) {\it alone} if space-time quantization is a fundamental law of physics which must be included as part of the Postulate. An important corollary, however, is that when measuring devices which carry the basic units of lengths and time (e.g. a clock ticking every time quantum) are `moving' uniformly, they ap…

The basis of quantum mechanics' compatibility with relativity--whose impairment gives rise to the Klein-Gordon and Dirac equations

Solitary-particle quantum mechanics' inherent compatibility with special relativity is implicit in Schroedinger's postulated wave-function rule for the operator quantization of the particle's canonical three-momentum, taken together with his famed time-dependent wave-function equation that analogously treats the operator quantization of its Hamiltonian. The resulting formally four-vector equation system assures proper relativistic covariance for any solitary-particle Hamiltonian operator which, together with its canonical three-momentum operator, is a Lorentz-covariant four-vector operator. Th…

作为狄拉克粒子磁相互作用的量子波动力学

Quantum Wave Mechanics as the Magnetic Interaction of Dirac Particles

本研究从相对论经典电动力学出发，将狄拉克粒子建模为相对论循环点电荷，通过其磁相互作用的调制效应推导薛定谔方程，结合Osiak静能公式与修正的吸收体理论得到完整复波函数，为量子波力学提供经典电磁学起源解释。

Theory of superconductivity of gravitation and the dark matter enigma

In this article, the question of the nature of cold dark matter is approached from a new angle. By invoking the Cauchy problem of relativity it is shown how, under very precise astrophysical conditions, the Einstein general theory of relativity is formally equivalent to the Ginzburg-Landau theory of superconductivity. This fact lead us to suspect that the superconductivity of gravitation ought to be a real physical process occurring in the outskirts of galaxies. It is found that quantum mechanically gravity can achieve a type-II superconductor state characterised by the Gizburg-Landau paramete…