Distribution of Various Types of Educational Information in the School Physics Course

The modern physics course appeared as a result of a long-term evolution of the physics teaching methods. The model of the school course is textbooks; they reflect the fundamental laws of cognition of the surrounding world and methodological ideas, therefore the problem of studying the distribution of various types of training material in the physics course is relevant. The article uses previously obtained estimates of the differential complexity of various topics of the school physics course. This takes into account: 1) the differential complexity of the text, depending on the information amount in the volume unit, on which the difficulty of understanding it by the student depends; 2) the integral complexity (general informativeness), which characterizes the total amount of information in the text; the amount of time and effort required to study training material depends on it; 3) the share of educational information related to mechanics, molecular physics and thermodynamics, electrodynamics, optics and quantum physics. It also took into account the fact that physical and mathematical complexity are independent characteristics of the physics textbooks. The carried out content analysis of standard school textbooks made it possible to determine the integral complexity of each topic and build a graph with an accumulation that shows the dynamics of changes in the contribution of each physics section to the total information amount over time. In particular, it follows from the graph that: 1) the speed of transmission of educational information in the 10-11th grades is 5 times higher than in the 7-9th grades; 2) the amount of information on physics reported to a student by the end of the 11th grade is 4,4 times more than the amount of information reported in the 7th, 8th and 9th grades.

Holographic path-integral optimization

In this work we elaborate on holographic description of the path-integral optimization in conformal field theories (CFT) using Hartle-Hawking wave functions in Anti-de Sitter spacetimes. We argue that the maximization of the Hartle-Hawking wave function is equivalent to the path-integral optimization procedure in CFT. In particular, we show that metrics that maximize gravity wave functions computed in particular holographic geometries, precisely match those derived in the path-integral optimization procedure for their dual CFT states. The present work is a detailed version of [1] and contains many new results such as analysis of excited states in various dimensions including JT gravity, and a new way of estimating holographic path-integral complexity from Hartle-Hawking wave functions. Finally, we generalize the analysis to Lorentzian Anti-de Sitter and de Sitter geometries and use it to shed light on path-integral optimization in Lorentzian CFTs.

Geometry and complexity of path integrals in inhomogeneous CFTs

In this work we develop the path integral optimization in a class of inhomogeneous 2d CFTs constructed by putting an ordinary CFT on a space with a position dependent metric. After setting up and solving the general optimization problem, we study specific examples, including the Möbius, SSD and Rainbow deformed CFTs, and analyze path integral geometries and complexity for universal classes of states in these models. We find that metrics for optimal path integrals coincide with particular slices of AdS3 geometries, on which Einstein’s equations are equivalent to the condition for minimal path integral complexity. We also find that while leading divergences of path integral complexity remain unchanged, constant contributions are modified in a universal, position dependent manner. Moreover, we analyze entanglement entropies in inhomogeneous CFTs and show that they satisfy Hill’s equations, which can be used to extract the energy density consistent with the first law of entanglement. Our findings not only support comparisons between slices of bulk spacetimes and circuits of path integrations, but also demonstrate that path integral geometries and complexity serve as a powerful tool for understanding the interesting physics of inhomogeneous systems.

Does happiness really happen in Andrei Platonov’s stories?

The theme of happiness is one of the constants of Andrei Platonov’s minor work. He reflects on it perpetually, turning it from positive to negative, and eventually concluding his ‘quest for truth’ in the idea of the world’s and human existence’ integral complexity, where happiness is interwoven with grief, emotions fuel the intensity of thought, individual life merges with the great stream of all-human fate, and romantic drive towards the unknown and uncommon comes into harmony with the deep, compassionate and accepting insight in the eternal and unchangeable nature of being.

Development of a Performance Assessment Model (PAM) for High Complexity Non-Conventional Reservoirs

Chicontepec is one of the areas with the largest volume of original oil in place in Mexico; however, after more than 30 years of operation, its development has been very limited due to the high geological complexity and low rock quality of their reservoirs. The reservoirs are found in layered sequences of sediments deposited in turbiditic environments which have suffered different degrees of diagenesis, there is a great level of vertical heterogeneity and a very limited level of lateral continuity. The permeability of the reservoir area is in the range of 0.1 to 5 md, depending on the location and degree of diagenesis, with this level of permeability most wells require hydraulic fracturing to be produced economically. The volume of oil originally in place according to the latest certifications is around 130 billion barrels, of which to this date have been produced 200 MMbls, which represents a current recovery factor of 0.15%. In order to accelerate the development of reserves PEMEX has diversified efforts assigning some areas to other companies. This will provide greater ability to assess best practices and technologies. To evaluate the efforts of companies a performance assessment model was designed, which takes into account the integral complexity of each area to be fair in comparing the results obtained for the different areas. The aim of this paper is to describe the methodology used in the developing of the performance evaluation and integral complexity characterization models.