Unified theory of oscillons and modes
F. BlaschkeInstitute of Experimental and Applied Physics , Czech Technical University in Prague , Husova 240/5 , Prague 1 , 110-00 , Czech RepublicT. RomańczukiewiczInstitute of Theoretical Physics , Jagiellonian University , Lojasiewicza 11 , Kraków , PolandK. SławińskaInstitute of Theoretical Physics , Jagiellonian University , Lojasiewicza 11 , Kraków , PolandAndrzej WereszczyńskiHiroshima International University
2026
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ABI
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We show that an oscillon can be understood as a localized discrete resonant (non-normalizable) mode. Specifically, oscillon in the vacuum arises from the threshold mode, which because of nonlinearity gets localized. Following this idea, we find {\it wobblerons} - nonlinear excitations of kinks, that is, oscillons-kink bound state. Now, the oscillon can also originate in an antibound mode, i.e., a discrete, positive energy but non-normalizable mode.
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