A Novel Concept for Mass as Complex-Mass towards Wave-particle Duality

TL;DR

This paper introduces a complex-mass concept where mass has real and imaginary parts to unify wave and particle behaviors, explaining various quantum and relativistic phenomena.

Contribution

It proposes a novel complex-mass framework that unifies wave and particle properties of matter, providing explanations for multiple physical effects.

Findings

Successfully explains Compton effect and light refraction

Accounts for Doppler and photoelectric effects

Provides insights into uncertainty principle and relativity

Abstract

In the present paper a new concept is introduced that: `mass is a complex quantity'. The concept of complex-mass suggests that the total mass M of a moving body is complex sum of: (i) the real-part (grain or rest) mass $m_{g}$ establishing its particle behaviour and (ii) the imaginary-part mass $m_{p}$ governing its wave properties. Mathematically, the complex mass $M = m_{g} + im_{p}$; the magnitude $\mid M \mid = (m_{g}^{2} + m_{p}^{2})^{{1/2}}. The theory proposed here explains successfully several effects such as `Compton effect' and `refraction of light' which could not be explained otherwise by a single theory of wave or particle. Also explained are `Doppler effect for light', `photo-electric effect', `Uncertainty principle', `Relativity' and `supersymmetry'