年份 | 2017 |
学科 | 物理与天文学 Physics and Astronomy |
国家/州 | Poland |
Numerical Methods of Raytracing in Curved Spacetimes According to Einstein's Theory of General Relativity
Our project is a computer program generating images and data based on a description of a scene – its objects (planes, spheres, triangles) and geometry – the curved spacetime. We have used Einstein's Theory of General Relativity equations in order to find the paths on which light traverses, and based on this implemented an algorithm that allows us to use these paths for image generation. It also uses Runge-Kutta methods of numerical integration in order to significantly decrease the computational error. Our program can simulate both the light bending effects of gravity and gravitational Doppler's effect – so-called redshift. We have analyzed the accuracy and precision of our calculations by comparing the values obtained from our models to ones obtained from purely theoretical model of Schwarzschild's metric. The tool we have created can help to create a better understanding of physics in a curved spacetime by creating images that can improve our intuition, but also be used to conduct further scientific research in the area of relativity. Specifically our work can be used to support astronomy and theoretical physics by providing accurate and fast simulations of curved spacetimes.
英特尔国际科学与工程大奖赛,简称 "ISEF",由美国 Society for Science and the Public(科学和公共服务协会)主办,英特尔公司冠名赞助,是全球规模最大、等级最高的中学生的科研科创赛事。ISEF 的学术活动学科包括了所有数学、自然科学、工程的全部领域和部分社会科学。ISEF 素有全球青少年科学学术活动的“世界杯”之美誉,旨在鼓励学生团队协作,开拓创新,长期专一深入地研究自己感兴趣的课题。
Physics is the science of matter and energy and of interactions between the two. Astronomy is the study of anything in the universe beyond the Earth.
Atomic, Molecular, and Optical Physics (AMO): The study of atoms, simple molecules, electrons, light, and their interactions. Projects studying non-solid state lasers and masers also belong in this subcategory.
Astronomy and Cosmology (AST): The study of space, the universe as a whole, including its origins and evolution, the physical properties of objects in space and computational astronomy.
Biological Physics (BIP): The study of the physics of biological processes and systems.
Condensed Matter and Materials (MAT): The study of the properties of solids and liquids. Topics such as superconductivity, semi-conductors, complex fluids, and thin films are studied.
Mechanics (MEC): Classical physics and mechanics, including the macroscopic study of forces, vibrations and flows; on solid, liquid and gaseous materials. Projects studying aerodynamics or hydrodynamics also belong in this subcategory.
Nuclear and Particle Physics (NUC): The study of the physical properties of the atomic nucleus and of fundamental particles and the forces of their interaction. Projects developing particle detectors also belong in this subcategory.
Theoretical, Computational, and Quantum Physics (THE): The study of nature, phenomena and the laws of physics employing mathematical or computational methods rather than experimental processes.
Other (OTH): Studies that cannot be assigned to one of the above subcategories. If the project involves multiple subcategories, the principal subcategory should be chosen instead of Other.
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