Re: de broglie and electron transitions caused by dark energy
From: alistair (alistair_at_goforit64.fsnet.co.uk)
Date: 08/29/04
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Date: 29 Aug 2004 09:17:56 -0700
alistair@goforit64.fsnet.co.uk (alistair) wrote in message news:<861c1b21.0408290200.4640b3b2@posting.google.com>...
> Is it possible that electron transitions from a high energy state to a
> low energy state are caused by the electrons interacting with some
> other partilces in the space around atoms.Let's look at the case of a
> hydrogen atom:
> According to Niels Bohr, for an electron, r = n^2 h^2 / (8 pi x
> epsilonx me^2)
> and Energy = - E / n^2
>
> So in Bohr's model an electron with a greater energy (an electron that
> has undergone a transition) has a greater value of orbital radius.
>
> The de broglie wavelength of the electron is given by lambda = h/mv
> and is about 10^-11 metres.This a length we can associate with the
> electron.
> So if we square the de Broglie wavelength we get an area we can
> associate with the electron and this is 10^-22 square metres.
>
> Now, space is filled with dark energy, at a density of 10^-27 kg per
> cubic metre.If the area of our electron was facing 1m^2 of dark energy
> this would
> be 10^-22 x 10^-27 = 10^-49 kg of the mass of the total mass of dark
> energy in a cubic metre.Nobody knows what dark energy really is but
> let's suppose
> that like anything else in the universe that has energy it consists of
> particles of some sort.These particles must move close to the speed of
> light because dark energy is considered by experts to be more
> energy-like than mass-like.
> At the speed of light,10^8 m/s, 10^49 kg of dark energy particles
> could strike
> an area equal to the de Broglie wavelength squared in 10^-8 seconds.
> Thus is the maximum force the dark energy particles can exert on the
> area (assuming the dark energy particles are all repelled by the
> coulomb charge) is F = m x change of velocity/ time = 10^-49 x
> 10^8/10^-8
> = 10^-33 Newtons.The acceleration this would produce on an electron of
> mass 10^-31 kg is acceleration = Force/mass = 10^-2 m/s^2.
> A transition from n = 2 to n= 1 in the Bohr model of hydrogen amounts
> to a distance of about 10^-10 m.An acceleration of 10^-2 m/s^2 acting
> on an electron would thus move it back to the ground state in a
> minimum time of
> 10^-8 seconds.This is what is observed.Can anyone come up with a
> quantum mechanical calculation that could give some more convincing
> evidence for dark energy causing an electronic transition from an
> excited to a ground state.
Alistair:
Dark energy particles travelling at 10^22.5 metres per second and
striking an electron with a radius of 10^-18 metres could also account
for the force on the electron.
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