Quantum Mechanics and Relativity
نویسندگان
چکیده
In a framework of a stationary universe, time is de ned as a local and quantum-mechanical notion in the sense that it is de ned for each local and quantummechanical system consisting of a nite number of particles. In this context, the total universe consisting of an in nite number of particles has no time associated, and quantum mechanics and general theory of relativity are united consistently. Relativistic Hamiltonians including gravitation are derived as a consequence of our treatment of observation. Related open problems in mathematical physics are presented.
منابع مشابه
کوانتش گرانش و بررسی هندسی مکانیک کوانتمی
We elaborate on some recent results on a solution of the Hilbert-space problem in minisuperspace quantum cosmology and discuss the consequences of making the (geometry of the) Hilbert space of ordinary nonrelativistic quantum systems time-dependent. The latter reveals a remarkable similarity between Quantum Mechanics and General Relativity.
متن کاملSpace-time, relativity and quantum mechanics: In search of a deeper connection
It has been shown that the Lorentz transformations in special relativity can be derived in terms of the principle of relativity and certain properties of space and time such as homogeneity. In this paper, we argue that the free Schrödinger equation in quantum mechanics may also be regarded as a consequence of the homogeneity of space and time and the principle of relativity when assuming linear...
متن کاملOn the precision of a length measurement
We show that quantum mechanics and general relativity imply the existence of a minimal length. To be more precise, we show that no operational device subject to quantum mechanics, general relativity and causality could exclude the discreteness of spacetime on lengths shorter than the Planck length. We then consider the fundamental limit coming from quantum mechanics, general relativity and caus...
متن کاملPerturbative Dynamics of Quantum General Relativity
The quantum theory of General Relativity at low energy exists and is of the form called ”effective field theory”. In this talk I describe the ideas of effective field theory and its application to General Relativity. Invited plenary talk at the Eighth Marcel Grossmann Conference on General Relativity, Jerusalem, June 1997, to be published in the proceedings.
متن کاملRelativity of representations in quantum mechanics
Only the position representation is used in introductory quantum mechanics and the momentum representation is not usually presented until advanced undergraduate courses. To emphasize the relativity of the representations of the abstract formulation of quantum mechanics, two examples of representations related to the operators αX + (1 − α)P and 1 2 (XP + PX) are presented.
متن کاملDerivation of the postulates of quantum mechanics from the first principles of scale relativity
Quantum mechanics is based on a series of postulates which lead to a very good description of the microphysical realm but which have, up to now, not been derived from first principles. In the present work, we suggest such a derivation in the framework of the theory of scale relativity. After having analyzed the actual status of the various postulates, rules and principles that underlie the pres...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007