English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A fine tuned rainbow gravity describes both relativistic quantum particlesand anti-particles alike. That is, the ratio $y=E/E_{P}$ in the rainbowfunctions $g_{_{0}}\left( y\right) $ and $% g_{_{1}}\left( y\right) $ should befine tuned into $0\leq y=E/E_{P}\leq 1\Rightarrow y=\left\vert E\right\vert/E_{P}$, otherwise rainbow gravity will only secure Planck's energy scale $E_p$invariance for relativistic particles and the anti-particles are leftunfortunate (in the sense that their energies will be indefinitely unbounded).Using this fine tuning we discuss the rainbow gravity effect on Klein-Gordon(KG) oscillators in Som-Raychaudhuri cosmic string rainbow gravity spacetimebackground. We use the rainbow functions: (i) $g_{_{0}}\left( y\right) =1$, $%g_{_{1}}\left( y\right) =\sqrt{1-\epsilon y^{n}}, n=0,1$, loop quantum gravitymotivated pairs, (ii) $% g_{_{0}}\left( y\right) =g_{_{1}}\left( y\right)=\left( 1-\epsilon y\right) ^{-1}$, a horizon problem motivated pair, and (iii)$g_{_{0}}\left( y\right) =\left( e^{\epsilon y}-1\right) /\epsilon y$,$g_{_{1}}\left( y\right) =1$, a gamma-ray bursts motivated pair. We show thatthe energies obtained using the first two rainbow functions in (i) completelycomply with the rainbow gravity model (on the invariance of the Planck's energyscale $E_{p}$). The rainbow function pair in (ii) has no effect on masslessKG-oscillators. Whereas, the one in (iii) does not show any eminent tendencytowards the invariance of the Planck's energy scale. Yet, we suggest a newrainbow function pair $(g_0(y)=(1-\epsilon y)^{-1}, g_1 (y)=1)$, and show thatit secures invariance of the Planck's energy scale $E_p$. Moreover, similarperformance is observed when this new pair is used for KG-oscillators andKG-Coulombic particles in cosmic string rainbow gravity spacetime and magneticfields.

Massless KG-oscillators in Som-Raychaudhuri cosmic string spacetime in a fine tuned rainbow gravity