Thermodynamic Gravity and the Schrodinger Equation

被引：8
|
作者：
Gogberashvili, Merab [1 ,2 ]
机构：
[1] Andronikashvili Inst Phys, GE-0177 Tbilisi, Georgia
[2] Javakhishvili State Univ, GE-0128 Tbilisi, Georgia
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2011年 / 50卷 / 08期
基金：
美国国家科学基金会;
关键词：
Schrodinger equation; Mach's principle; Quantum mechanics; QUANTUM-MECHANICS; INERTIAL MASS; ANISOTROPY;
D O I：
10.1007/s10773-011-0727-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We adopt a formulation of the Mach principle that the rest mass of a particle is a measure of it's long-range collective interactions with all other particles inside the horizon. As a consequence, all particles in the universe form a 'gravitationally entangled' statistical ensemble and one can apply the approach of classical statistical mechanics to it. It is shown that both the Schrodinger equation and the Planck constant can be derived within this Machian model of the universe. The appearance of probabilities, complex wave functions, and quantization conditions is related to the discreetness and finiteness of the Machian ensemble.
引用
收藏
页码：2391 / 2402
页数：12
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