Currents and Radiation from the large DD Black Hole Membrane

It has recently been demonstrated that black hole dynamics in a large number of dimensions $D$ reduces to the dynamics of a codimension one membrane propagating in flat space. In this paper we define a stress tensor and charge current on this membrane and explicitly determine these currents at low orders in the expansion in $\frac{1}{D}$. We demonstrate that dynamical membrane equations of motion derived in earlier work are simply conservation equations for our stress tensor and charge current. Through the paper we focus on solutions of the membrane equations which vary on a time scale of order unity. Even though the charge current and stress tensor are not parametrically small in such solutions, we show that the radiation sourced by the corresponding membrane currents is generically of order $\frac{1}{D^D}$. In this regime it follows that the `near horizon' membrane degrees of freedom are decoupled from asymptotic flat space at every perturbative order in the $\frac{1}{D}$ expansion. We also define an entropy current on the membrane and use the Hawking area theorem to demonstrate that the divergence of the entropy current is point wise non negative. We view this result as a local form of the second law of thermodynamics for membrane motion.Comment: 104 pages plus 69 pages appendix, 1 figure, Minor correction

Determining the Activation Energy of Glucose Syrup Using the Arrhenius Equation

This experiment finds the activation energy of corn syrup using the Arrhenius equation. This was done through a simple experiment of dropping a ball into corn syrup and measuring its terminal velocity. From this, the viscosity could be derived, through the use of rearrangement of Newton’s First Law. The temperature of the corn syrup was also varied through the use of a microwave by raising it to 50 degrees Celsius. It is known that the more viscous a liquid is, the greater the activation energy for the liquid, which is essentially the energy barrier that a molecule has to overcome to travel, and thus the slower the liquid travel. Through linearization of the equation, it can be seen that graphing the inverse of temperature against the natural log of the viscosity, the equation of the slope would be equivalent to the activation energy over the universal gas constant. After conducting the experiment, it was proven that corn syrup has a very high activation energy, and thus is a very viscous liquid

Finding Activation Energy of Corn Syrup

This experiment finds the activation energy of corn syrup using the Arrhenius equation. This was done through a simple experiment of dropping a ball into corn syrup and measuring its terminal velocity. From this, the viscosity could be derived, through the use of rearrangement of Newton’s First Law. The temperature of the corn syrup was also varied through the use of a microwave by raising it to 50 degrees Celsius. It is known that the more viscous a liquid is, the greater the activation energy for the liquid, which is essentially the energy barrier that a molecule has to overcome to travel, and thus the slower the liquid travel. Through linearization of the equation, it can be seen that graphing the inverse of temperature against the natural log of the viscosity, the equation of the slope would be equivalent to the activation energy over the universal gas constant. After conducting the experiment, it was proven that corn syrup has a very high activation energy, and thus is a very viscous liquid

Study of correlation of gestational age estimation by new ballard score with inter mammary distance in new born

Background: It is important to recognise preterm babies as they have a different set of problems than term babies.Methods: Study was done over a period of 2 years.254 new-borns ranging in gestational age from 27 to 42 weeks were studied in MYH Hospital, Indore.Results: Intermammary distance and gestational age showed a positive correlation with a correlation coefficient of 0.9. SGA and AGA babies had correlation coefficient of 0.95 and 0.89 respectively.Conclusions: Intermammary distance of 69.60mm can be used to differentiate preterm and term babies. This simple measurement can be easily used by peripheral health workers at remote places to differentiate between term and preterm babies

Proof of Efficient Liquidity: A Staking Mechanism for Capital Efficient Liquidity

The Proof of Efficient Liquidity (PoEL) protocol, designed for specialised Proof of Stake (PoS) consensus-based blockchains that incorporate intrinsic DeFi applications, aims to support sustainable liquidity bootstrapping and network security. This concept seeks to efficiently utilise budgeted staking rewards to attract and sustain liquidity through a risk-structuring engine and incentive allocation strategy, both of which are designed to maximise capital efficiency. The proposed protocol serves the dual objective of: (i) capital creation by attracting risk capital efficiently and maximising its operational utility for intrinsic DeFi applications, thereby asserting sustainability; and (ii) enhancing the adopting blockchain network's economic security by augmenting their staking (PoS) mechanism with a harmonious layer seeking to attract a diversity of digital assets. Finally, the protocol's conceptual framework, as detailed in the appendix, is extended to encompass service fee credits. This extension capitalises on the network's auxiliary services to disperse incentives and attract liquidity, ensuring the network achieves and maintains the critical usage threshold essential for its sustained operational viability and progressive growth