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May 5, 2022, 4:05:54 PMMay 5

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Acknowledging the accepted BCS Reference:

John Bardeen, Leon Neil Cooper and John Robert Schrieffer, "Theory of

Superconductivity", Physical Review, Vol 28, Number 6, December 1, 1957,

pages 1175-1204.

Equation 2.8 addresses a conservation of momentum condition

in terms of wave vectors k:

k1 + k2 = k1' + k2' (conservation of momentum)

But surely superconductivity is an elastic condition

also requiring conservation of energy:

k1^2 + k2^2 = k1'^2 + k2'^2 (conservation of energy)

It is noted that the linear 'conservation of momentum'

does not generate the non linear 'conservation of energy',

This superconductor elastic requirement

can be mechanistically accomplished by assuming a hexagonal lattice

which has a real and reciprocal lattice identity.

and introducing a 'g' factor such that:

g(k1 + k2) = k1' + k2' (conservation of momentum)

k1^2 + k2^2 = g(k1'^2 + k2'^2) (conservation of energy)

This superconductor mechanistic reasoning is developed in:

Superconductivity, The Structure Scale Of The Universe

https://arxiv.org/abs/physics/9905007

and particularly equations 2.3.11 and 2.3.12

Richard D Saam

John Bardeen, Leon Neil Cooper and John Robert Schrieffer, "Theory of

Superconductivity", Physical Review, Vol 28, Number 6, December 1, 1957,

pages 1175-1204.

Equation 2.8 addresses a conservation of momentum condition

in terms of wave vectors k:

k1 + k2 = k1' + k2' (conservation of momentum)

But surely superconductivity is an elastic condition

also requiring conservation of energy:

k1^2 + k2^2 = k1'^2 + k2'^2 (conservation of energy)

It is noted that the linear 'conservation of momentum'

does not generate the non linear 'conservation of energy',

This superconductor elastic requirement

can be mechanistically accomplished by assuming a hexagonal lattice

which has a real and reciprocal lattice identity.

and introducing a 'g' factor such that:

g(k1 + k2) = k1' + k2' (conservation of momentum)

k1^2 + k2^2 = g(k1'^2 + k2'^2) (conservation of energy)

This superconductor mechanistic reasoning is developed in:

Superconductivity, The Structure Scale Of The Universe

https://arxiv.org/abs/physics/9905007

and particularly equations 2.3.11 and 2.3.12

Richard D Saam

May 6, 2022, 3:25:20 PM (13 days ago) May 6

to

it is easy to show that if you assume conservation of energy and also

a relativity principle (either Galilean or Einstein) that those two conditions

imply conservation of momentum. You an also show that conservation

of energy and conservation of momentum imply the relativity principle.

An argument based on quantum mechanics and special relativity gives

the same result and also shows that it is the energy-momentum 4-vector

that is the most fundamental conserved quantity.

I'm not very familiar with superconductivity theory, but I wonder if adding

a 'g' factor as you do is the correct way to account for conservation of

energy.

Rich L.

May 15, 2022, 6:11:15 AM (4 days ago) May 15

to

does not imply the conservation of energy. The BCS reference creates a

lattice(not geometrically defined) lowered in energy by a gap in which

Cooper electron pairs move without resistance (They are elastic) But I

do not see from the BCS reference the basic application of conservation

of energy and momentum to achieve the required elastic characteristic.

My approach is to actually define the lattice amenable to conservation

of energy and momentum. It is a hexagonal lattice with each cell having

base B and height A and volume(cavity) = 2*sqrt(3)*A*B^2 and wave

vectors

KB = pi/B

KC = 4pi/(3sqrt(3)A)

KDs = (8pi^3/cavity)^(1/3)

KDn = (6pi^2/cavity)^(1/3

The hexagonal lattice has a necessary space filling property wherein its

real and reciprocal are equal compatible with the following:

p = mv = hK and E = (1/2)mv^2 = h^2*K^2/(2m)

(near virtual)

The elastic(conservation of energy and momentum) conditions are as

follows:

gs(KB + KC) = KDs + KDn (conservation of momentum)

KB^2 + KC^2 = gs(KDs^2 + KDn'^2) (conservation of energy)

The elastic condition (conservation of energy and momentum) is met with

the following numbers.

B/A = 2.379146658937169267…

gs = 1.0098049781877999262…

by other means a mass(mT) is derived

m= 110.107178208 x electron mass

The hexagonal model can be scaled keeping B/A a constant.

And finally a critical superconductor temperature (Tc) is defined:

E = Boltzmann Constant * Tc = h^2*KB^2/(2m)

time = 2*B/vdx

This superconductor critical Tc model is in general agreement with over

100 experimentally observed superconductors, nuclear quark parameters,

and celestial observations including the rotation time(8.22 hr) of the

interstellar interloper Oumuamua indicating this superconductivity

concept permeates the entire universe.

As a final note, this superconducting model conforms to the Einstein

stress energy tensor that is an elastic criterion.

Richard D Saam

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