Local Scale Covariance and Its Radical Implications for Cosmology
Local scale covariance posits that no privileged length scales should appear in the fundamental equations of local, Minkowskian physics—why should nature have scale, but not position preferences?—yet, they clearly do. A resolution is proposed wherein scale covariance is promoted to the status of Poi...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Galaxies |
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| Online Access: | https://www.mdpi.com/2075-4434/9/4/76 |
| _version_ | 1827672353233960960 |
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| author | Yehonatan Knoll |
| author_facet | Yehonatan Knoll |
| author_sort | Yehonatan Knoll |
| collection | DOAJ |
| description | Local scale covariance posits that no privileged length scales should appear in the fundamental equations of local, Minkowskian physics—why should nature have scale, but not position preferences?—yet, they clearly do. A resolution is proposed wherein scale covariance is promoted to the status of Poincaré covariance, and privileged scales emerge as a result of ‘scale clustering’, similarly to the way privileged positions emerge in a translation covariant theory. The implied ability of particles to ‘move in scale’ has recently been shown by the author to offer a possible elegant solution to the missing matter problem. For cosmology, the implications are: (a) a novel component of the cosmological redshift, due to scale-motion over cosmological times; (b) a radically different scenario for the early universe, during which the conditions for such scale clustering are absent. The former is quantitatively analyzed, resulting in a unique cosmological model, empirically coinciding with standard Einstein–de-Sitter cosmology, only in some non-physical limit. The latter implication is qualitatively discussed as part of a critique of the conceptual foundations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>CDM which ignores scale covariance altogether. |
| first_indexed | 2024-03-10T04:04:15Z |
| format | Article |
| id | doaj.art-587a882196704f30a8ed7e5068d43a09 |
| institution | Directory Open Access Journal |
| issn | 2075-4434 |
| language | English |
| last_indexed | 2024-03-10T04:04:15Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Galaxies |
| spelling | doaj.art-587a882196704f30a8ed7e5068d43a092023-11-23T08:25:47ZengMDPI AGGalaxies2075-44342021-10-01947610.3390/galaxies9040076Local Scale Covariance and Its Radical Implications for CosmologyYehonatan Knoll0Independent Researcher, Haifa 3254605, IsraelLocal scale covariance posits that no privileged length scales should appear in the fundamental equations of local, Minkowskian physics—why should nature have scale, but not position preferences?—yet, they clearly do. A resolution is proposed wherein scale covariance is promoted to the status of Poincaré covariance, and privileged scales emerge as a result of ‘scale clustering’, similarly to the way privileged positions emerge in a translation covariant theory. The implied ability of particles to ‘move in scale’ has recently been shown by the author to offer a possible elegant solution to the missing matter problem. For cosmology, the implications are: (a) a novel component of the cosmological redshift, due to scale-motion over cosmological times; (b) a radically different scenario for the early universe, during which the conditions for such scale clustering are absent. The former is quantitatively analyzed, resulting in a unique cosmological model, empirically coinciding with standard Einstein–de-Sitter cosmology, only in some non-physical limit. The latter implication is qualitatively discussed as part of a critique of the conceptual foundations of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="sans-serif">Λ</mi></semantics></math></inline-formula>CDM which ignores scale covariance altogether.https://www.mdpi.com/2075-4434/9/4/76scale covariancefoundations of general relativityalternative cosmological modelsfoundations of quantum mechanicsfoundations of quantum gravity |
| spellingShingle | Yehonatan Knoll Local Scale Covariance and Its Radical Implications for Cosmology Galaxies scale covariance foundations of general relativity alternative cosmological models foundations of quantum mechanics foundations of quantum gravity |
| title | Local Scale Covariance and Its Radical Implications for Cosmology |
| title_full | Local Scale Covariance and Its Radical Implications for Cosmology |
| title_fullStr | Local Scale Covariance and Its Radical Implications for Cosmology |
| title_full_unstemmed | Local Scale Covariance and Its Radical Implications for Cosmology |
| title_short | Local Scale Covariance and Its Radical Implications for Cosmology |
| title_sort | local scale covariance and its radical implications for cosmology |
| topic | scale covariance foundations of general relativity alternative cosmological models foundations of quantum mechanics foundations of quantum gravity |
| url | https://www.mdpi.com/2075-4434/9/4/76 |
| work_keys_str_mv | AT yehonatanknoll localscalecovarianceanditsradicalimplicationsforcosmology |