Projections between Euclidean Volumes with Information Due to Spontaneous Symmetry Breaking  

作　　者：Louis M. Houston Louis M. Houston(Department of Physics of Louisiana at Lafayette, Lafayette, USA)

机构地区：[1]Department of Physics of Louisiana at Lafayette, Lafayette, USA

出　　处：《Journal of Applied Mathematics and Physics》2023年第11期3519-3528,共10页应用数学与应用物理（英文）

摘　　要：The goal of our research was to determine a coupling between information theory, geometry and multi-dimensional projections. This was accomplished after preliminary mathematics was presented to determine an alternative method for the illustration of multi-dimensional spaces. That was developed with a unique series that gives structure to integer exponents of power sets. The desired coupling is concisely illustrated in a single figure which includes three cyclic phases that are isomorphic to the three phases of Euclidian, rectangular cuboids. The series enables projections between n- and m-dimensional volumes. The associated figure also illustrates how vertical and/or horizontal symmetry breaking or symmetry emits or absorbs information.The goal of our research was to determine a coupling between information theory, geometry and multi-dimensional projections. This was accomplished after preliminary mathematics was presented to determine an alternative method for the illustration of multi-dimensional spaces. That was developed with a unique series that gives structure to integer exponents of power sets. The desired coupling is concisely illustrated in a single figure which includes three cyclic phases that are isomorphic to the three phases of Euclidian, rectangular cuboids. The series enables projections between n- and m-dimensional volumes. The associated figure also illustrates how vertical and/or horizontal symmetry breaking or symmetry emits or absorbs information.

关 键 词：ENTROPY SYMMETRY BIT MULTI-DIMENSIONAL CUBOID 

分 类 号：O15[理学—数学]