Ontology type: schema:ScholarlyArticle Open Access: True
1996-11
AUTHORS ABSTRACTThe theoretical foundation of an object moving faster than light in vacuum (tachyon) is still missing or incomplete. Here we present the classical foundation of the relativistic dynamics including the tachyon. An anomalous sign-factor extracted from the transformation of √1 -u2/c2 under the Lorentz transformation, which has always been missed in the usual formulation of the tachyon, has a crucial role in the dynamics of the tachyon. Due to this factor the mass of the tachyon transforms in an unusual way although the energy and momentum, which are defined as the conserved quantities in all uniformly moving systems, trasform in the usual way as in the case of an object moving slower than light (bradyon). We show that this result can also be obtained from the least-action approach. On the other hand, we show that the ambiguities in the description of the dynamics for an object moving with the velocity of light (luxon) can be consistently removed only by introducing a new dynamical variable. Furthermore, by using the fundamental definition of the momentum and energy, we show that the zero-point energy for any kind of objects,i.e. the tachyon, bradyon, and luxon, which has been known as the undetermined constant, should satisfy some constraints for consistency, and we note that this is essentially another novel relativistic effect. Finally, we remark about the several unsolved problems. More... »
PAGES1333-1368
http://scigraph.springernature.com/pub.10.1007/bf02742509
DOIhttp://dx.doi.org/10.1007/bf02742509
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1008651635
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Physical Sciences",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0299",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Other Physical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Department of Physics and Basic Science Research Institute, Sogang University, C.P.O. Box 1142, 100-611, Seoul, Korea",
"id": "http://www.grid.ac/institutes/grid.263736.5",
"name": [
"Department of Physics and Basic Science Research Institute, Sogang University, C.P.O. Box 1142, 100-611, Seoul, Korea"
],
"type": "Organization"
},
"familyName": "Park",
"givenName": "Mu-In",
"id": "sg:person.012404616462.52",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012404616462.52"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Department of Physics and Basic Science Research Institute, Sogang University, C.P.O. Box 1142, 100-611, Seoul, Korea",
"id": "http://www.grid.ac/institutes/grid.263736.5",
"name": [
"Department of Physics and Basic Science Research Institute, Sogang University, C.P.O. Box 1142, 100-611, Seoul, Korea"
],
"type": "Organization"
},
"familyName": "Park",
"givenName": "Young-Jai",
"id": "sg:person.015404122053.42",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015404122053.42"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/bf01391513",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1033840510",
"https://doi.org/10.1007/bf01391513"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02753980",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1038568408",
"https://doi.org/10.1007/bf02753980"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02739282",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028118298",
"https://doi.org/10.1007/bf02739282"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1038/223386b0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1008345384",
"https://doi.org/10.1038/223386b0"
],
"type": "CreativeWork"
}
],
"datePublished": "1996-11",
"datePublishedReg": "1996-11-01",
"description": "The theoretical foundation of an object moving faster than light in vacuum (tachyon) is still missing or incomplete. Here we present the classical foundation of the relativistic dynamics including the tachyon. An anomalous sign-factor extracted from the transformation of \u221a1 -u2/c2 under the Lorentz transformation, which has always been missed in the usual formulation of the tachyon, has a crucial role in the dynamics of the tachyon. Due to this factor the mass of the tachyon transforms in an unusual way although the energy and momentum, which are defined as the conserved quantities in all uniformly moving systems, trasform in the usual way as in the case of an object moving slower than light (bradyon). We show that this result can also be obtained from the least-action approach. On the other hand, we show that the ambiguities in the description of the dynamics for an object moving with the velocity of light (luxon) can be consistently removed only by introducing a new dynamical variable. Furthermore, by using the fundamental definition of the momentum and energy, we show that the zero-point energy for any kind of objects,i.e. the tachyon, bradyon, and luxon, which has been known as the undetermined constant, should satisfy some constraints for consistency, and we note that this is essentially another novel relativistic effect. Finally, we remark about the several unsolved problems.",
"genre": "article",
"id": "sg:pub.10.1007/bf02742509",
"inLanguage": "en",
"isAccessibleForFree": true,
"isPartOf": [
{
"id": "sg:journal.1336108",
"issn": [
"1826-9877"
],
"name": "Il Nuovo Cimento B (1971-1996)",
"publisher": "Springer Nature",
"type": "Periodical"
},
{
"issueNumber": "11",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "111"
}
],
"keywords": [
"relativistic dynamics",
"new dynamical variables",
"velocity of light",
"dynamical variables",
"zero-point energy",
"usual formulation",
"Lorentz transformations",
"tachyons",
"undetermined constants",
"classical foundations",
"fundamental definitions",
"usual way",
"kinds of objects",
"dynamics",
"relativistic effects",
"unsolved problem",
"momentum",
"theoretical foundation",
"bradyons",
"objects",
"energy",
"constraints",
"formulation",
"problem",
"velocity",
"Luxon",
"transformation",
"light",
"description",
"vacuum",
"foundation",
"variables",
"quantity",
"constants",
"approach",
"system",
"way",
"unusual way",
"transform",
"kind",
"definition",
"cases",
"consistency",
"crucial role",
"ambiguity",
"results",
"mass",
"C2",
"hand",
"effect",
"factors",
"role"
],
"name": "On the foundation of the relativistic dynamics with the tachyon",
"pagination": "1333-1368",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1008651635"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/bf02742509"
]
}
],
"sameAs": [
"https://doi.org/10.1007/bf02742509",
"https://app.dimensions.ai/details/publication/pub.1008651635"
],
"sdDataset": "articles",
"sdDatePublished": "2022-06-01T22:00",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-springernature-scigraph/baseset/20220601/entities/gbq_results/article/article_296.jsonl",
"type": "ScholarlyArticle",
"url": "https://doi.org/10.1007/bf02742509"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf02742509'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf02742509'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02742509'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02742509'
This table displays all metadata directly associated to this object as RDF triples.
132 TRIPLES
22 PREDICATES
82 URIs
70 LITERALS
6 BLANK NODES
Subject | Predicate | Object | |
---|---|---|---|
1 | sg:pub.10.1007/bf02742509 | schema:about | anzsrc-for:02 |
2 | ″ | ″ | anzsrc-for:0299 |
3 | ″ | schema:author | N51cc4c6d56244645b86235e4d5d22b5c |
4 | ″ | schema:citation | sg:pub.10.1007/bf01391513 |
5 | ″ | ″ | sg:pub.10.1007/bf02739282 |
6 | ″ | ″ | sg:pub.10.1007/bf02753980 |
7 | ″ | ″ | sg:pub.10.1038/223386b0 |
8 | ″ | schema:datePublished | 1996-11 |
9 | ″ | schema:datePublishedReg | 1996-11-01 |
10 | ″ | schema:description | The theoretical foundation of an object moving faster than light in vacuum (tachyon) is still missing or incomplete. Here we present the classical foundation of the relativistic dynamics including the tachyon. An anomalous sign-factor extracted from the transformation of √1 -u2/c2 under the Lorentz transformation, which has always been missed in the usual formulation of the tachyon, has a crucial role in the dynamics of the tachyon. Due to this factor the mass of the tachyon transforms in an unusual way although the energy and momentum, which are defined as the conserved quantities in all uniformly moving systems, trasform in the usual way as in the case of an object moving slower than light (bradyon). We show that this result can also be obtained from the least-action approach. On the other hand, we show that the ambiguities in the description of the dynamics for an object moving with the velocity of light (luxon) can be consistently removed only by introducing a new dynamical variable. Furthermore, by using the fundamental definition of the momentum and energy, we show that the zero-point energy for any kind of objects,i.e. the tachyon, bradyon, and luxon, which has been known as the undetermined constant, should satisfy some constraints for consistency, and we note that this is essentially another novel relativistic effect. Finally, we remark about the several unsolved problems. |
11 | ″ | schema:genre | article |
12 | ″ | schema:inLanguage | en |
13 | ″ | schema:isAccessibleForFree | true |
14 | ″ | schema:isPartOf | N03a58399be674dc9b14c011376f31ebe |
15 | ″ | ″ | Ndad24ddef05a408595799ecc81c1d5fe |
16 | ″ | ″ | sg:journal.1336108 |
17 | ″ | schema:keywords | C2 |
18 | ″ | ″ | Lorentz transformations |
19 | ″ | ″ | Luxon |
20 | ″ | ″ | ambiguity |
21 | ″ | ″ | approach |
22 | ″ | ″ | bradyons |
23 | ″ | ″ | cases |
24 | ″ | ″ | classical foundations |
25 | ″ | ″ | consistency |
26 | ″ | ″ | constants |
27 | ″ | ″ | constraints |
28 | ″ | ″ | crucial role |
29 | ″ | ″ | definition |
30 | ″ | ″ | description |
31 | ″ | ″ | dynamical variables |
32 | ″ | ″ | dynamics |
33 | ″ | ″ | effect |
34 | ″ | ″ | energy |
35 | ″ | ″ | factors |
36 | ″ | ″ | formulation |
37 | ″ | ″ | foundation |
38 | ″ | ″ | fundamental definitions |
39 | ″ | ″ | hand |
40 | ″ | ″ | kind |
41 | ″ | ″ | kinds of objects |
42 | ″ | ″ | light |
43 | ″ | ″ | mass |
44 | ″ | ″ | momentum |
45 | ″ | ″ | new dynamical variables |
46 | ″ | ″ | objects |
47 | ″ | ″ | problem |
48 | ″ | ″ | quantity |
49 | ″ | ″ | relativistic dynamics |
50 | ″ | ″ | relativistic effects |
51 | ″ | ″ | results |
52 | ″ | ″ | role |
53 | ″ | ″ | system |
54 | ″ | ″ | tachyons |
55 | ″ | ″ | theoretical foundation |
56 | ″ | ″ | transform |
57 | ″ | ″ | transformation |
58 | ″ | ″ | undetermined constants |
59 | ″ | ″ | unsolved problem |
60 | ″ | ″ | unusual way |
61 | ″ | ″ | usual formulation |
62 | ″ | ″ | usual way |
63 | ″ | ″ | vacuum |
64 | ″ | ″ | variables |
65 | ″ | ″ | velocity |
66 | ″ | ″ | velocity of light |
67 | ″ | ″ | way |
68 | ″ | ″ | zero-point energy |
69 | ″ | schema:name | On the foundation of the relativistic dynamics with the tachyon |
70 | ″ | schema:pagination | 1333-1368 |
71 | ″ | schema:productId | N3780895e306647259937a193fa9d3722 |
72 | ″ | ″ | Nf0559368fcfb4f9699c2ba9ebd308a95 |
73 | ″ | schema:sameAs | https://app.dimensions.ai/details/publication/pub.1008651635 |
74 | ″ | ″ | https://doi.org/10.1007/bf02742509 |
75 | ″ | schema:sdDatePublished | 2022-06-01T22:00 |
76 | ″ | schema:sdLicense | https://scigraph.springernature.com/explorer/license/ |
77 | ″ | schema:sdPublisher | N5764c36cdbfa46df812718aa2a970e33 |
78 | ″ | schema:url | https://doi.org/10.1007/bf02742509 |
79 | ″ | sgo:license | sg:explorer/license/ |
80 | ″ | sgo:sdDataset | articles |
81 | ″ | rdf:type | schema:ScholarlyArticle |
82 | N03a58399be674dc9b14c011376f31ebe | schema:volumeNumber | 111 |
83 | ″ | rdf:type | schema:PublicationVolume |
84 | N30bdc172369e4c299bb5fee628662d7e | rdf:first | sg:person.015404122053.42 |
85 | ″ | rdf:rest | rdf:nil |
86 | N3780895e306647259937a193fa9d3722 | schema:name | doi |
87 | ″ | schema:value | 10.1007/bf02742509 |
88 | ″ | rdf:type | schema:PropertyValue |
89 | N51cc4c6d56244645b86235e4d5d22b5c | rdf:first | sg:person.012404616462.52 |
90 | ″ | rdf:rest | N30bdc172369e4c299bb5fee628662d7e |
91 | N5764c36cdbfa46df812718aa2a970e33 | schema:name | Springer Nature - SN SciGraph project |
92 | ″ | rdf:type | schema:Organization |
93 | Ndad24ddef05a408595799ecc81c1d5fe | schema:issueNumber | 11 |
94 | ″ | rdf:type | schema:PublicationIssue |
95 | Nf0559368fcfb4f9699c2ba9ebd308a95 | schema:name | dimensions_id |
96 | ″ | schema:value | pub.1008651635 |
97 | ″ | rdf:type | schema:PropertyValue |
98 | anzsrc-for:02 | schema:inDefinedTermSet | anzsrc-for: |
99 | ″ | schema:name | Physical Sciences |
100 | ″ | rdf:type | schema:DefinedTerm |
101 | anzsrc-for:0299 | schema:inDefinedTermSet | anzsrc-for: |
102 | ″ | schema:name | Other Physical Sciences |
103 | ″ | rdf:type | schema:DefinedTerm |
104 | sg:journal.1336108 | schema:issn | 1826-9877 |
105 | ″ | schema:name | Il Nuovo Cimento B (1971-1996) |
106 | ″ | schema:publisher | Springer Nature |
107 | ″ | rdf:type | schema:Periodical |
108 | sg:person.012404616462.52 | schema:affiliation | grid-institutes:grid.263736.5 |
109 | ″ | schema:familyName | Park |
110 | ″ | schema:givenName | Mu-In |
111 | ″ | schema:sameAs | https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012404616462.52 |
112 | ″ | rdf:type | schema:Person |
113 | sg:person.015404122053.42 | schema:affiliation | grid-institutes:grid.263736.5 |
114 | ″ | schema:familyName | Park |
115 | ″ | schema:givenName | Young-Jai |
116 | ″ | schema:sameAs | https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015404122053.42 |
117 | ″ | rdf:type | schema:Person |
118 | sg:pub.10.1007/bf01391513 | schema:sameAs | https://app.dimensions.ai/details/publication/pub.1033840510 |
119 | ″ | ″ | https://doi.org/10.1007/bf01391513 |
120 | ″ | rdf:type | schema:CreativeWork |
121 | sg:pub.10.1007/bf02739282 | schema:sameAs | https://app.dimensions.ai/details/publication/pub.1028118298 |
122 | ″ | ″ | https://doi.org/10.1007/bf02739282 |
123 | ″ | rdf:type | schema:CreativeWork |
124 | sg:pub.10.1007/bf02753980 | schema:sameAs | https://app.dimensions.ai/details/publication/pub.1038568408 |
125 | ″ | ″ | https://doi.org/10.1007/bf02753980 |
126 | ″ | rdf:type | schema:CreativeWork |
127 | sg:pub.10.1038/223386b0 | schema:sameAs | https://app.dimensions.ai/details/publication/pub.1008345384 |
128 | ″ | ″ | https://doi.org/10.1038/223386b0 |
129 | ″ | rdf:type | schema:CreativeWork |
130 | grid-institutes:grid.263736.5 | schema:alternateName | Department of Physics and Basic Science Research Institute, Sogang University, C.P.O. Box 1142, 100-611, Seoul, Korea |
131 | ″ | schema:name | Department of Physics and Basic Science Research Institute, Sogang University, C.P.O. Box 1142, 100-611, Seoul, Korea |
132 | ″ | rdf:type | schema:Organization |