Classical Physics


Theoretical Lower Limit of Mass of Phonon and Critical Mass for Matter-Dark Matter Conversion

Authors: Arijit Bag

In this article, theoretical lower limit of mass of phonon and critical mass for matter-dark matter conversion is presented. Using Planck’s equation for black body radiation and de Broglie’s wave particle duality, we can get a relation between mass of phonon and frequency of emitted radiation which opens up several questions and possibilities. From this relation, with few assumptions, we may have a critical mass bellow which we have dark matter and above we get normal matter. With the help of this relation, maximum matter density and limit of string length may be reviewed. Calculated critical mass, considering the present value of Planck’s constant and Boltzmann constant, is 7.367 × 10^{−51} Kg. It is also observed that if phonon obeys de Broglie’s equation, generation of an electromagnetic radiation of frequency less than 56638721410Hz is not possible by thermal heating.

Comments: 6 Pages.

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Submission history

[v1] 2017-12-26 06:48:43

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