This is an utterly meaningless post...made just for fun...I won't mention political ideology at all...I won't mention problems...I won't suggest solutions...I'm just wasting your time...

Duh. That sums up nearly all of your posts. What would give you the impression that you would have to reiterate the obvious?

Oh, right, wasting resources. Got it.

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Cordially,
Rush

elrushbo2@theobviousgmail.com
Remove the obvious...

Hi there.

I had a nice laugher have to find control agsin.

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With each crime and every kindness we birth our future.

Another inanity from me to be looked down upon by the residents of Mt. Olympus...How dare i post such drivel in the presence of such powerful minds?

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PROUD TO BE TFFE!

Another inanity from me to be looked down upon by the residents of Mt. Olympus...How dare i post such drivel in the presence of such powerful minds?

????

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With each crime and every kindness we birth our future.

Breakfast in 5.5 hours!

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It's good to be back amongst friends and colleagues

Breakfast in 5.5 hours!

Bed in just about 30 minutes. :-)

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Breakfast in 5.5 hours!

Bed in just about 30 minutes. :-)

30 minutes? I should be so lucky.

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me@rescam.org

Breakfast in 5.5 hours!

Bed in just about 30 minutes. :-)

30 minutes? I should be so lucky.

LOL You should be. :-)

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Breakfast in 5.5 hours!

Bed in just about 30 minutes. :-)

30 minutes? I should be so lucky.

LOL You should be. :-)

I think I will be. ::click::

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me@rescam.org

I'm just here to make another vacuous post.

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PROUD TO BE TFFE!

I'm just here for the ice cold beer and newspapers

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It's good to be back amongst friends and colleagues

good morning all.

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With each crime and every kindness we birth our future.

zero-point energy is the lowest possible energy that a quantum mechanical physical system may possess and is the energy of the ground state of the system. The concept of zero-point energy was proposed by Albert Einstein and Otto Stern in 1913, which they originally called "residual energy" or Nullpunktsenergie. All quantum mechanical systems have a zero point energy. The term arises commonly in reference to the ground state of the quantum harmonic oscillator and its null oscillations. In quantum field theory, it is a synonym for the vacuum energy, an amount of energy associated with the vacuum of empty space. In cosmology, the vacuum energy is taken to be the origin of the cosmological constant. Experimentally, the zero-point energy of the vacuum leads directly to the Casimir effect, and is directly observable in nanoscale devices.

Because zero point energy is the lowest possible energy a system can have, this energy cannot be removed from the system.


In 1900, Max Planck derived the formula for the energy of a single "energy radiator", i.e. a vibrating atomic unit, as:

\\epsilon = \\frac{h\\nu}{ e^{\\frac{h\\nu}{kT}}-1}

Here, \\hbar is Planck's constant, ω is the natural frequency, k is Boltzmann's constant, and T is the temperature.

In 1913, using this formula as a basis, Albert Einstein and Otto Stern published a paper of great significance in which they suggested for the first time the existence of a residual energy that all oscillators have at absolute zero. They called this "residual energy" and then Nullpunktsenergie (in German), which later became translated as zero-point energy. They carried out an analysis of the specific heat of hydrogen gas at low temperature, and concluded that the data are best represented if the vibrational energy is taken to have the form:[1]

\\epsilon = \\frac{h\\nu}{ e^{\\frac{h\\nu}{kT}}-1} + \\frac{h\\nu}{2}

Thus, according to this expression, even at absolute zero the energy of an atomic system has the value ½hν.

The idea of zero-point energy occurs in a number of situations, and it is important to distinguish these, and note that there are many closely related concepts.

In ordinary quantum mechanics, the zero-point energy is the energy associated with the ground state of the system. The most famous such example is the energy E={\\hbar\\omega\\over 2} associated with the ground state of the quantum harmonic oscillator. More precisely, the zero-point energy is the expectation value of the Hamiltonian of the system.

In quantum field theory, the fabric of space is visualized as consisting of fields, with the field at every point in space and time being a quantized simple harmonic oscillator, with neighboring oscillators interacting. In this case, one has a contribution of E={\\hbar\\omega\\over 2} from every point in space, resulting in a technically infinite zero-point energy. The zero-point energy is again the expectation value of the Hamiltonian; here, however, the phrase vacuum expectation value is more commonly used, and the energy is called the vacuum energy.

In quantum perturbation theory, it is sometimes said that the contribution of one-loop and multi-loop Feynman diagrams to elementary particle propagators are the contribution of vacuum fluctuations or the zero-point energy to the particle masses.

The simplest experimental evidence for the existence of zero-point energy in quantum field theory is the Casimir effect. This effect was proposed in 1948 by Dutch physicist Hendrik B. G. Casimir, who considered the quantized electromagnetic field between a pair of grounded, neutral metal plates. A small force can be measured between the plates, which is directly ascribable to a change of the zero-point energy of the electromagnetic field between the plates.

Although the Casimir effect at first proved hard to measure, because its effects can be seen only at very small distances, the effect is taking on increasing importance in nanotechnology. Not only is the Casimir effect easily and accurately measured in specially designed nanoscale devices, but it increasingly needs to be taken into account in the design and manufacturing processes of small devices. It can exert significant forces and stress on nanoscale devices, causing them to bend, twist, stick and break.

Other experimental evidence includes spontaneous emissions of light (photons) by atoms and nuclei, observed Lamb shift of positions of energy levels of atoms, anomalous value of electron's gyromagnetic ratio, etc.

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Scorpions - Wind Of Change

zero-point energy is the lowest possible energy that a quantum mechanical physical system may possess and is the energy of the ground state of the system. The concept of zero-point energy was proposed by Albert Einstein and Otto Stern in 1913, which they originally called "residual energy" or Nullpunktsenergie. All quantum mechanical systems have a zero point energy. The term arises commonly in reference to the ground state of the quantum harmonic oscillator and its null oscillations. In quantum field theory, it is a synonym for the vacuum energy, an amount of energy associated with the vacuum of empty space. In cosmology, the vacuum energy is taken to be the origin of the cosmological constant. Experimentally, the zero-point energy of the vacuum leads directly to the Casimir effect, and is directly observable in nanoscale devices.

Because zero point energy is the lowest possible energy a system can have, this energy cannot be removed from the system.


In 1900, Max Planck derived the formula for the energy of a single "energy radiator", i.e. a vibrating atomic unit, as:

\\epsilon = \\frac{h\\nu}{ e^{\\frac{h\\nu}{kT}}-1}

Here, \\hbar is Planck's constant, ω is the natural frequency, k is Boltzmann's constant, and T is the temperature.

In 1913, using this formula as a basis, Albert Einstein and Otto Stern published a paper of great significance in which they suggested for the first time the existence of a residual energy that all oscillators have at absolute zero. They called this "residual energy" and then Nullpunktsenergie (in German), which later became translated as zero-point energy. They carried out an analysis of the specific heat of hydrogen gas at low temperature, and concluded that the data are best represented if the vibrational energy is taken to have the form:[1]

\\epsilon = \\frac{h\\nu}{ e^{\\frac{h\\nu}{kT}}-1} + \\frac{h\\nu}{2}

Thus, according to this expression, even at absolute zero the energy of an atomic system has the value ½hν.

The idea of zero-point energy occurs in a number of situations, and it is important to distinguish these, and note that there are many closely related concepts.

In ordinary quantum mechanics, the zero-point energy is the energy associated with the ground state of the system. The most famous such example is the energy E={\\hbar\\omega\\over 2} associated with the ground state of the quantum harmonic oscillator. More precisely, the zero-point energy is the expectation value of the Hamiltonian of the system.

In quantum field theory, the fabric of space is visualized as consisting of fields, with the field at every point in space and time being a quantized simple harmonic oscillator, with neighboring oscillators interacting. In this case, one has a contribution of E={\\hbar\\omega\\over 2} from every point in space, resulting in a technically infinite zero-point energy. The zero-point energy is again the expectation value of the Hamiltonian; here, however, the phrase vacuum expectation value is more commonly used, and the energy is called the vacuum energy.

In quantum perturbation theory, it is sometimes said that the contribution of one-loop and multi-loop Feynman diagrams to elementary particle propagators are the contribution of vacuum fluctuations or the zero-point energy to the particle masses.

The simplest experimental evidence for the existence of zero-point energy in quantum field theory is the Casimir effect. This effect was proposed in 1948 by Dutch physicist Hendrik B. G. Casimir, who considered the quantized electromagnetic field between a pair of grounded, neutral metal plates. A small force can be measured between the plates, which is directly ascribable to a change of the zero-point energy of the electromagnetic field between the plates.

Although the Casimir effect at first proved hard to measure, because its effects can be seen only at very small distances, the effect is taking on increasing importance in nanotechnology. Not only is the Casimir effect easily and accurately measured in specially designed nanoscale devices, but it increasingly needs to be taken into account in the design and manufacturing processes of small devices. It can exert significant forces and stress on nanoscale devices, causing them to bend, twist, stick and break.

Other experimental evidence includes spontaneous emissions of light (photons) by atoms and nuclei, observed Lamb shift of positions of energy levels of atoms, anomalous value of electron's gyromagnetic ratio, etc.

Nice. :-) Thank you.

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Reality Internet Personality

I'm just here to make another vacuous post.

No surprise there.

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Cordially,
Rush

elrushbo2@theobviousgmail.com
Remove the obvious...

Coffee and an education in the Cafe.

Can't be bad, and good company, like Doc and Esme, definitely can't be bad.

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It's good to be back amongst friends and colleagues

I'm just here to make another vacuous post.

No surprise there.

Thanks for your vacuous response...have a nice day!

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PROUD TO BE TFFE!

I'm just here to make another vacuous post.

No surprise there.

Rush. That really wasn't very nice.

..and please stop insulting people and then getting surprised when they get upset.

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Reality Internet Personality

Rush. That really wasn't very nice.

..and please stop insulting people and then getting surprised when they get upset.

You know me, I can't help it... I just have to comment on everything!

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Cordially,
Rush

elrushbo2@theobviousgmail.com
Remove the obvious...

Rush. That really wasn't very nice.

..and please stop insulting people and then getting surprised when they get upset.

You know me, I can't help it... I just have to comment on everything!

Well you are upsetting people. Please stop. I suggest you apologise to Dan for that last comment.

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Reality Internet Personality