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Here is an interesting observation, which I would like to know the validity of.

The momentum of a relativistic 'cosmological' particle in a homogeneous universe can be written as [itex]^{[1]}[/itex]

[tex]

L = \gamma m a v_{pec} = K

[/tex]

where [itex]\gamma=(1-v_{pec}^2/c^2)^{-0.5}[/itex], [itex]m[/itex] the rest mass, [itex]v_{pec}[/itex] the peculiar velocity of the particle, [itex]a[/itex] the expansion factor, with K constant.

According to the

[tex]

\lambda = \frac{h}{p} = \frac{h}{\gamma m v_{pec}}

[/tex]

where

From the above two equations, we can write

[tex]

L = \frac{ah}{\lambda} = K

[/tex]

This is the same relationship as for the cosmological redshift of a photon. So, in a way, particle momenta do not 'decay', they simply 'redshift'.

Or, do I misinterpret something?

Ref: [1] http://arxiv.org/abs/astro-ph/0402278" (section 3-2).

The momentum of a relativistic 'cosmological' particle in a homogeneous universe can be written as [itex]^{[1]}[/itex]

[tex]

L = \gamma m a v_{pec} = K

[/tex]

where [itex]\gamma=(1-v_{pec}^2/c^2)^{-0.5}[/itex], [itex]m[/itex] the rest mass, [itex]v_{pec}[/itex] the peculiar velocity of the particle, [itex]a[/itex] the expansion factor, with K constant.

According to the

*de Broglie relations*, the wavelength of the particle is[tex]

\lambda = \frac{h}{p} = \frac{h}{\gamma m v_{pec}}

[/tex]

where

*h*is Planck's constant and*p*the local momentum of the particle.From the above two equations, we can write

[tex]

L = \frac{ah}{\lambda} = K

[/tex]

This is the same relationship as for the cosmological redshift of a photon. So, in a way, particle momenta do not 'decay', they simply 'redshift'.

Or, do I misinterpret something?

Ref: [1] http://arxiv.org/abs/astro-ph/0402278" (section 3-2).

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