Equivalence Principle and the Principle of Local Lorentz Invariance
Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Rodrigues, W. A. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2001 |
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| Schlagwörter: |
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| Anmerkung: |
© Plenum Publishing Corporation 2001 |
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| Übergeordnetes Werk: |
Enthalten in: Foundations of physics - Kluwer Academic Publishers-Plenum Publishers, 1970, 31(2001), 12 vom: Dez., Seite 1785-1806 |
|---|---|
| Übergeordnetes Werk: |
volume:31 ; year:2001 ; number:12 ; month:12 ; pages:1785-1806 |
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| DOI / URN: |
10.1023/A:1012627118064 |
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OLC2039099654 |
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| 520 | |a Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. | ||
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10.1023/A:1012627118064 doi (DE-627)OLC2039099654 (DE-He213)A:1012627118064-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Rodrigues, W. A. verfasserin aut Equivalence Principle and the Principle of Local Lorentz Invariance 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. General Relativity Reference Frame General Theory Special Relativity Natural Generalization Sharif, M. aut Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 31(2001), 12 vom: Dez., Seite 1785-1806 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:31 year:2001 number:12 month:12 pages:1785-1806 https://doi.org/10.1023/A:1012627118064 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4046 AR 31 2001 12 12 1785-1806 |
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10.1023/A:1012627118064 doi (DE-627)OLC2039099654 (DE-He213)A:1012627118064-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Rodrigues, W. A. verfasserin aut Equivalence Principle and the Principle of Local Lorentz Invariance 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. General Relativity Reference Frame General Theory Special Relativity Natural Generalization Sharif, M. aut Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 31(2001), 12 vom: Dez., Seite 1785-1806 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:31 year:2001 number:12 month:12 pages:1785-1806 https://doi.org/10.1023/A:1012627118064 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4046 AR 31 2001 12 12 1785-1806 |
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10.1023/A:1012627118064 doi (DE-627)OLC2039099654 (DE-He213)A:1012627118064-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Rodrigues, W. A. verfasserin aut Equivalence Principle and the Principle of Local Lorentz Invariance 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. General Relativity Reference Frame General Theory Special Relativity Natural Generalization Sharif, M. aut Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 31(2001), 12 vom: Dez., Seite 1785-1806 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:31 year:2001 number:12 month:12 pages:1785-1806 https://doi.org/10.1023/A:1012627118064 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4046 AR 31 2001 12 12 1785-1806 |
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10.1023/A:1012627118064 doi (DE-627)OLC2039099654 (DE-He213)A:1012627118064-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Rodrigues, W. A. verfasserin aut Equivalence Principle and the Principle of Local Lorentz Invariance 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. General Relativity Reference Frame General Theory Special Relativity Natural Generalization Sharif, M. aut Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 31(2001), 12 vom: Dez., Seite 1785-1806 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:31 year:2001 number:12 month:12 pages:1785-1806 https://doi.org/10.1023/A:1012627118064 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4046 AR 31 2001 12 12 1785-1806 |
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10.1023/A:1012627118064 doi (DE-627)OLC2039099654 (DE-He213)A:1012627118064-p DE-627 ger DE-627 rakwb eng 570 530 VZ 11 12 5,21 ssgn Rodrigues, W. A. verfasserin aut Equivalence Principle and the Principle of Local Lorentz Invariance 2001 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Plenum Publishing Corporation 2001 Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. General Relativity Reference Frame General Theory Special Relativity Natural Generalization Sharif, M. aut Enthalten in Foundations of physics Kluwer Academic Publishers-Plenum Publishers, 1970 31(2001), 12 vom: Dez., Seite 1785-1806 (DE-627)130020907 (DE-600)421748-2 (DE-576)015562387 0015-9018 nnns volume:31 year:2001 number:12 month:12 pages:1785-1806 https://doi.org/10.1023/A:1012627118064 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-AST SSG-OPC-AST GBV_ILN_11 GBV_ILN_20 GBV_ILN_21 GBV_ILN_22 GBV_ILN_40 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2021 GBV_ILN_4046 AR 31 2001 12 12 1785-1806 |
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| abstract |
Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. © Plenum Publishing Corporation 2001 |
| abstractGer |
Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. © Plenum Publishing Corporation 2001 |
| abstract_unstemmed |
Abstract In this paper we scrutinize the so called Principle of Local Lorentz Invariance (PLLI) that many authors claim to follow from the Equivalence Principle. Using rigourous mathematics, we introduce in the General Theory of Relativity two classes of reference frames (PIRFs and LLRFγs) which as natural generalizations of the concept of the inertial reference frames of the Special Relativity Theory. We show that it is the class of the LLRFγs that is associated with the PLLI. Next we give a definition of physically equivalent reference frames. Then, we prove that there are models of General Relativity Theory (in particular on a Friedmann universe) where the PLLI is false. However our finding is not in contradiction with the many experimental claims vindicating the PLLI, because theses experiments do not have enough accuracy to detect the effect we found. We prove moreover that PIRFs are not physically equivalent. © Plenum Publishing Corporation 2001 |
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| title_short |
Equivalence Principle and the Principle of Local Lorentz Invariance |
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Sharif, M. |
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