Pub Date : 2020-12-01DOI: 10.1088/2514-3433/abbd4bch12
J. Kolata
It is proposed that the principle of equivalence—which recognizes momentary equivalence between gravitational and inertial force—is cosmologicalized in an expanding spherical distribution of matter, whereby spacetime itself acts as the accelerating frame of reference of the inertial mass of an object on the surface of the sphere, and the inertial force thus generated is momentarily equivalent at a certain radial distance to the gravitational force experienced by the gravitational mass of the object. The spacetime accelerating frame of reference is parametrized by the cosmological constant Λ. The relation between inertial mass of an object and the cosmo logical constant can be generalized as a correlation between the matter density in the universe and the cosmological constant. Since matter density dilutes in an expanding universe, it is predicted that the Λ -term should be time varying.
{"title":"Dark Energy","authors":"J. Kolata","doi":"10.1088/2514-3433/abbd4bch12","DOIUrl":"https://doi.org/10.1088/2514-3433/abbd4bch12","url":null,"abstract":"It is proposed that the principle of equivalence—which recognizes momentary equivalence between gravitational and inertial force—is cosmologicalized in an expanding spherical distribution of matter, whereby spacetime itself acts as the accelerating frame of reference of the inertial mass of an object on the surface of the sphere, and the inertial force thus generated is momentarily equivalent at a certain radial distance to the gravitational force experienced by the gravitational mass of the object. The spacetime accelerating frame of reference is parametrized by the cosmological constant Λ. The relation between inertial mass of an object and the cosmo logical constant can be generalized as a correlation between the matter density in the universe and the cosmological constant. Since matter density dilutes in an expanding universe, it is predicted that the Λ -term should be time varying.","PeriodicalId":188051,"journal":{"name":"Elementary Cosmology (Second Edition)","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131852323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-01DOI: 10.1088/2514-3433/abbd4bch10
J. Kolata
{"title":"The Very Early Big Bang","authors":"J. Kolata","doi":"10.1088/2514-3433/abbd4bch10","DOIUrl":"https://doi.org/10.1088/2514-3433/abbd4bch10","url":null,"abstract":"","PeriodicalId":188051,"journal":{"name":"Elementary Cosmology (Second Edition)","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116931138","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-11-24DOI: 10.1515/9781503614147-003
James J Kolata
I D-DFRFT : One-Dimensional Discrete Fractional Fourier Transform 2D-DFRFT Two-Dimensional Discrete Fractional Fourier Transform 2D-DWT : Two-Dimensional Discrete Wavelet Transform AID Analog-to-Digital AWVGN : Additive White Gaussian Noise BER : Bit Error Rate BPF Band Pass Filter BS : Broadcasting Services CBR : Constant Bit Rate CB-DAWMM : Chirp-Based Digital Audio Digital Audio Watermarking Cl) Compact Disc D/A Digital-to-Analog Db : Daubechies wavelet DbN Daubechies Wavelet of Order N DbS Daubechies Wavelet of Order 5 DCT : Discrete Cosine Transform DFRFT Discrete Fractional Fourier Transform DFT : Discrete Fourier Transform DVD : Digital Versatile Disc DW'T : Discrete Wavelet Transform EBU European Broadcasting Union FIR Finite Impulse Response FR FT Fractional Fourier Transform FT : Fourier Transform HAS : Human Auditory System
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