When scale is surplus

نویسندگان

چکیده

We study a long-recognised but under-appreciated symmetry called "dynamical similarity" and illustrate its relevance to many important conceptual problems in fundamental physics. Dynamical similarities are general transformations of system where the unit Hamilton's principal function is rescaled, therefore represent kind dynamical scaling with formal properties that differ from standard symmetries. To this symmetry, we develop framework for symmetries distinguishes observable surplus structures theory by using minimal freely specifiable initial data necessary achieve empirical adequacy. This then applied well-studied examples including Galilean invariance Kepler problem. find our gives precise criterion identifying observables those systems, agree epistemic expectations. apply similarity. First give definition Then show, help some previous results, how dynamics leads singularity resolution emergence an arrow time cosmology.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

When every $P$-flat ideal is flat

In this paper‎, ‎we study the class of rings in which every $P$-flat‎ ‎ideal is flat and which will be called $PFF$-rings‎. ‎In particular‎, ‎Von Neumann regular rings‎, ‎hereditary rings‎, ‎semi-hereditary ring‎, ‎PID and arithmetical rings are examples of $PFF$-rings‎. ‎In the context domain‎, ‎this notion coincide with‎ ‎Pr"{u}fer domain‎. ‎We provide necessary and sufficient conditions for‎...

متن کامل

Estimation of Returns to Scale in the Presence of Undesirable (bad) Outputs in DEA when the Firm is Regulated

The calculation of RTS amounts to measuring a relationship between inputs and outputs in a production structure. There are many methods to measure RTS in the primal space or the dual space. One of the main approaches is using the multiplier on the convexity constraint. But returns to scale measurements in DEA models are affected by the presence of regulatory constraints. These additional constr...

متن کامل

Is There Surplus Labor in Rural India?

We show empirically using panel data at the plot and farm level and based on a model incorporating supervision costs, risk, credit-market imperfections and scale-economies associated with mechanization that small-scale farming is inefficient in India. Larger farms are more profitable per acre, more mechanized, less constrained in input use after bad shocks, and employ less per-acre labor than s...

متن کامل

What is consumer surplus, and how is it measured

What is consumer surplus, and how is it measured? ANSWER: Consumer surplus measures the benefit to buyers of participating in a market. It is measured as the amount a buyer is willing to pay for a good minus the amount a buyer actually pays for it. For an individual purchase, consumer surplus is the difference between the willingness to pay, as shown on the demand curve, and the market price. F...

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

ژورنال

عنوان ژورنال: Synthese

سال: 2021

ISSN: ['0039-7857', '1573-0964']

DOI: https://doi.org/10.1007/s11229-021-03443-7