On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions
We define a modified covariant Klein-Gordon (KG) equation containing quantum vacuum contributions arising from the self-interaction of matter with its own internal kinetic energy. The modified KG equation is exemplified for a variety of vacuum fields and various properties of the equation are articu...
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creator | Gabay, Dor Joseph, Sijo K |
description | We define a modified covariant Klein-Gordon (KG) equation containing quantum
vacuum contributions arising from the self-interaction of matter with its own
internal kinetic energy. The modified KG equation is exemplified for a variety
of vacuum fields and various properties of the equation are articulated
thereof. Generalized commutation and Energy-Momentum relations are
characterized for a null vacuum-phase scenario of the proposed vacuum field
$\lambda$. Within this limited scenario, a representation theorem is introduced
suggesting that one can equally modify the spacetime structure or momentum
operator in articulating the proposed quantum theory. Such a modified KG
equation is further shown to eliminate infrared and the ultraviolet divergences
in the generalized Klein-Gordon propagator. |
doi_str_mv | 10.48550/arxiv.1802.07678 |
format | Article |
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vacuum contributions arising from the self-interaction of matter with its own
internal kinetic energy. The modified KG equation is exemplified for a variety
of vacuum fields and various properties of the equation are articulated
thereof. Generalized commutation and Energy-Momentum relations are
characterized for a null vacuum-phase scenario of the proposed vacuum field
$\lambda$. Within this limited scenario, a representation theorem is introduced
suggesting that one can equally modify the spacetime structure or momentum
operator in articulating the proposed quantum theory. Such a modified KG
equation is further shown to eliminate infrared and the ultraviolet divergences
in the generalized Klein-Gordon propagator.</description><identifier>DOI: 10.48550/arxiv.1802.07678</identifier><language>eng</language><subject>Physics - General Relativity and Quantum Cosmology</subject><creationdate>2018-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1802.07678$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1802.07678$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gabay, Dor</creatorcontrib><creatorcontrib>Joseph, Sijo K</creatorcontrib><title>On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions</title><description>We define a modified covariant Klein-Gordon (KG) equation containing quantum
vacuum contributions arising from the self-interaction of matter with its own
internal kinetic energy. The modified KG equation is exemplified for a variety
of vacuum fields and various properties of the equation are articulated
thereof. Generalized commutation and Energy-Momentum relations are
characterized for a null vacuum-phase scenario of the proposed vacuum field
$\lambda$. Within this limited scenario, a representation theorem is introduced
suggesting that one can equally modify the spacetime structure or momentum
operator in articulating the proposed quantum theory. Such a modified KG
equation is further shown to eliminate infrared and the ultraviolet divergences
in the generalized Klein-Gordon propagator.</description><subject>Physics - General Relativity and Quantum Cosmology</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tOwzAURL1hgQofwAr_gINd9zrOEoVQEEXdVGyjG_u6tdQ64CZA_54-WM1II53RYexOyWJmAeQD5t_4XSgrp4UsTWmv2dMyceTvvY8hkudvW4pJzPvs-8SbrxGHeCw_cdjwD3TjuBNNorw-8LpPQ47deNr3N-wq4HZPt_85YavnZlW_iMVy_lo_LgQev4SqbNWR1YFM54ypKmWMQipdUEpK1DBTCOS8B2mDg6BKY_xUQwDQQIr0hN1fsGeN9jPHHeZDe9Jpzzr6DwwDROE</recordid><startdate>20180221</startdate><enddate>20180221</enddate><creator>Gabay, Dor</creator><creator>Joseph, Sijo K</creator><scope>GOX</scope></search><sort><creationdate>20180221</creationdate><title>On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions</title><author>Gabay, Dor ; Joseph, Sijo K</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a678-1989be83fe6bc66991661ae7cf1100a3541a5ecdd508fc5f1766d235f5535e1e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Physics - General Relativity and Quantum Cosmology</topic><toplevel>online_resources</toplevel><creatorcontrib>Gabay, Dor</creatorcontrib><creatorcontrib>Joseph, Sijo K</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gabay, Dor</au><au>Joseph, Sijo K</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions</atitle><date>2018-02-21</date><risdate>2018</risdate><abstract>We define a modified covariant Klein-Gordon (KG) equation containing quantum
vacuum contributions arising from the self-interaction of matter with its own
internal kinetic energy. The modified KG equation is exemplified for a variety
of vacuum fields and various properties of the equation are articulated
thereof. Generalized commutation and Energy-Momentum relations are
characterized for a null vacuum-phase scenario of the proposed vacuum field
$\lambda$. Within this limited scenario, a representation theorem is introduced
suggesting that one can equally modify the spacetime structure or momentum
operator in articulating the proposed quantum theory. Such a modified KG
equation is further shown to eliminate infrared and the ultraviolet divergences
in the generalized Klein-Gordon propagator.</abstract><doi>10.48550/arxiv.1802.07678</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - General Relativity and Quantum Cosmology |
title | On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions |
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