A general local causality principle of space-time
We propose a generalisation of the local causality principle of space-time, asserting that it holds for all regimes of motion, including superluminal motions. It assumes the existence of a countably infinite set of metrical null cone speeds, $c_k$, where the first one, $c_1=c$, corresponds to the sp...
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| creator | Calvo-Mozo, Benjamin |
| description | We propose a generalisation of the local causality principle of space-time,
asserting that it holds for all regimes of motion, including superluminal
motions. It assumes the existence of a countably infinite set of metrical null
cone speeds, $c_k$, where the first one, $c_1=c$, corresponds to the speed of
light in vacuum. Our associated space-time measures do not diverge at the
maximum speed of each interval of speeds and implies a generalisation of
Einstein's rule for velocities addition. We construct a causal structure for
each regime of motion. After introducing a simple dynamical measure, we derive
an expression for the energy of material particles, which approaches the
relativistic one when $v |
| doi_str_mv | 10.48550/arxiv.1906.02368 |
| format | Article |
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asserting that it holds for all regimes of motion, including superluminal
motions. It assumes the existence of a countably infinite set of metrical null
cone speeds, $c_k$, where the first one, $c_1=c$, corresponds to the speed of
light in vacuum. Our associated space-time measures do not diverge at the
maximum speed of each interval of speeds and implies a generalisation of
Einstein's rule for velocities addition. We construct a causal structure for
each regime of motion. After introducing a simple dynamical measure, we derive
an expression for the energy of material particles, which approaches the
relativistic one when $v<c$. An experiment to energise photons in an 1-1
process is proposed as a test of our interpretation of the non divergence at
the speed of light of present space-time measures. We discuss also the possible
transition of a material particle from the subluminal regime $v<c$ to the first
superluminal regime and vice versa, making discrete changes in $v^2/c^2$ around
the unit in terms of a very tiny constant, $\epsilon^2$, which we introduce to
prevent the divergence of the Lorentz $\gamma$ factor at the speed of light in
vacuum.</description><identifier>DOI: 10.48550/arxiv.1906.02368</identifier><language>eng</language><subject>Physics - General Relativity and Quantum Cosmology</subject><creationdate>2019-06</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1906.02368$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1906.02368$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Calvo-Mozo, Benjamin</creatorcontrib><title>A general local causality principle of space-time</title><description>We propose a generalisation of the local causality principle of space-time,
asserting that it holds for all regimes of motion, including superluminal
motions. It assumes the existence of a countably infinite set of metrical null
cone speeds, $c_k$, where the first one, $c_1=c$, corresponds to the speed of
light in vacuum. Our associated space-time measures do not diverge at the
maximum speed of each interval of speeds and implies a generalisation of
Einstein's rule for velocities addition. We construct a causal structure for
each regime of motion. After introducing a simple dynamical measure, we derive
an expression for the energy of material particles, which approaches the
relativistic one when $v<c$. An experiment to energise photons in an 1-1
process is proposed as a test of our interpretation of the non divergence at
the speed of light of present space-time measures. We discuss also the possible
transition of a material particle from the subluminal regime $v<c$ to the first
superluminal regime and vice versa, making discrete changes in $v^2/c^2$ around
the unit in terms of a very tiny constant, $\epsilon^2$, which we introduce to
prevent the divergence of the Lorentz $\gamma$ factor at the speed of light in
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asserting that it holds for all regimes of motion, including superluminal
motions. It assumes the existence of a countably infinite set of metrical null
cone speeds, $c_k$, where the first one, $c_1=c$, corresponds to the speed of
light in vacuum. Our associated space-time measures do not diverge at the
maximum speed of each interval of speeds and implies a generalisation of
Einstein's rule for velocities addition. We construct a causal structure for
each regime of motion. After introducing a simple dynamical measure, we derive
an expression for the energy of material particles, which approaches the
relativistic one when $v<c$. An experiment to energise photons in an 1-1
process is proposed as a test of our interpretation of the non divergence at
the speed of light of present space-time measures. We discuss also the possible
transition of a material particle from the subluminal regime $v<c$ to the first
superluminal regime and vice versa, making discrete changes in $v^2/c^2$ around
the unit in terms of a very tiny constant, $\epsilon^2$, which we introduce to
prevent the divergence of the Lorentz $\gamma$ factor at the speed of light in
vacuum.</abstract><doi>10.48550/arxiv.1906.02368</doi><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| source | arXiv.org |
| subjects | Physics - General Relativity and Quantum Cosmology |
| title | A general local causality principle of space-time |
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