A Short Note on the de Broglie Wavelengths of Composite Objects

George L. Trigg

Stjepan Mohorovičić

Constantinos Ragazas

In this short note we mathematically prove that if we assume that the speed of light is constant, then light propagates as a wave. Introduction: In another paper, What is the Matter With De Broglie Waves? we derived the De Broglie equations for 'wavelength' λ and 'frequency' ν using the 'prime physis' quantity η and the definitions of energy, E t η ∂ = ∂ and momentum x p x η ∂ = ∂ in terms of η . We showed that,

Güler

Partha Pratim Mukhopadhyay

Patel, Vyom

Macroscopic objects do not exhibit quantum interference, even though the de Broglie relation applies universally. A common argument is that their momentum is too large for observable wavelengths. However, this does not explain why an object at rest does not display an infinite wavelength. This work develops a thermal-ensemble-based explanation: the internal degrees of freedom of any object at finite temperature possess a Maxwell--Boltzmann distribution of momenta, each associated with its own de Broglie wavelength. By integrating over this thermal momentum distribution, we show that the internal wave contributions cancel due to isotropy and rapid phase oscillations. This yields an effectively vanishing internal de Broglie wavelength and provides an intuitive mechanism for intrinsic decoherence in macroscopic matter.