Received Day Month Year Revised Day Month Year

نویسنده

  • T. Padmanabhan
چکیده

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, l ≫ (G~/c3)1/2. The long wavelength description of spacetime, based on Einstein’s equations, is similar to the description of a continuum solid made of a large number of microscopic degrees of freedom. This paradigm provides a novel interpretation of coordinate transformations as deformations of “spacetime solid” and allows one to obtain Einstein’s equations as a consistency condition in the long wavelength limit. The entropy contributed by the microscopic degrees of freedom reduces to a pure surface contribution when Einstein’s equations are satisfied. The horizons arises as “defects” in the “spacetime solid” (in the sense of well defined singular points) and contributes an entropy which is one quarter of the horizon area. Finally, the response of the microstructure to vacuum energy leads to a near cancellation of the cosmological constant, leaving behind a tiny fluctuation which matches with the observed value. The quantum description of spacetime is likely to be as different from the classical description, as the atomic description of a solid is from the macroscopic continuum description of a solid. The latter uses concepts like density, stress and strain, bulk flow velocity etc., none of which has much relevance in the microscopic scale; the quantum description of molecules in a solid cannot be obtained by quantising the classical macroscopic variables. The entire language (and the variables) need to be different, with the continuum description arising in a specific limit. Similarly, we will expect the variables and the language used in the quantum description of spacetime to be quite different from the description of the spacetime continuum using, say, the metric tensor. Quantisation of the metric has as much relevance — in this paradigm — as quantising, say, the density and bulk flow velocity of a solid with the hope of obtaining a quantum theory of molecules. While the full microscopic theory cannot be obtained without further inputs, this paradigm (“continuum spacetime is like an elastic solid”), taken seriously, brings about a new and powerful perspective regarding the nature of the spacetime.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discrete Coherent States for N Qubits

Received Day Month Year Revised Day Month Year Discrete coherent states for a system of n qubits are introduced in terms of eigenstates of the finite Fourier transform. The properties of these states are pictured in phase space by resorting to the discrete Wigner function.

متن کامل

Polynomial functions are re nable

Received (Day Month Year) Revised (Day Month Year) Communicated by (xxxxxxxxxx) The scope of renable functions in wavelet theory is focused to localized functions. In our paper we like to widen that scope, in particular we show that all polynomial functions are renable. This may yield an interesting notion of convolution of polynomials.

متن کامل

Work supported in part by US Department of Energy contract DE-AC02-76SF00515. CP Violation and Mixing in Charm Meson Decays from BABAR

Received Day Month Year Revised Day Month Year Mixing and CP violation in charm meson decays provide a unique probe of possible physics beyond the standard model. In this paper, we give a brief review of the current measurements from the BABAR experiment.

متن کامل

Analysis of Pulse Propagation Through an One-Dimensional Random Medium Using Complex Martingales

Received (Day Month Year) Revised (Day Month Year) We show that the propagation of pulses in an one-dimensional random medium can be characterized using a new complex martingale representation of the transmission coefficient. This representation holds in the frequency domain and in a certain asymptotic limit where diffusion approximations can be used.

متن کامل

Discretization Error Analysis for Tikhonov Regularization

Received (Day Month Year) Revised (Day Month Year) We study the discretization of inverse problems defined by a Carleman operator. In particular we develop a discretization strategy for this class of inverse problems and we give a convergence analysis. Learning from examples as well as the discretization of integral equations can be analysed in our setting.

متن کامل

Magneto-spectroscopy of Epitaxial Graphene

Received Day Month Year Revised Day Month Year We present a far infrared investigation of the optical transitions in epitaxial graphene subjected to a perpendicular magnetic field. Cyclotron-resonance-like transitions between adjacent electron Landau levels are observed, as well as interband transitions. The results are discussed in terms of existing theoretical models of Dirac fermions in grap...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004