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arXiv · 1802.07678

On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions

Dor Gabay·Sijo K. Joseph
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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.

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Dor Gabay, Sijo K. Joseph. 2018-02-21. On a Modified Klein-Gordon Equation with Vacuum-Energy Contributions. https://arxiv.org/abs/1802.07678

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