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8/14/2019 Full Neutrino Article
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Do we live in a Brane Lensed Region
By: Paul Karl Hoiland
Abstract: I will offer a possible solution to the Neutrino Oscillation Problem where theKK series neutrinos shed their energy in local brane lensing. This idea could explain
both the Pioneer Probe slowdown and other observation evidence that suggests C is a
variable.
A 5-dimensional fermion can be decomposed into two Weyl fermions, l and r. The
action of the model is given by
Where are the five dimensional Dirac Matrices. We then
introduce dimensionlessYukawa couplings via
We will assume that are of the order one.
We can then decompose the five dimensional fermions int into a tower of KKstates,
We then find that a certain linear combination of KK states are not coupled to left hand
states. The ones that do are
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It is these other KK states that since they do not couple may be of primary import here.
However, the lack of observational evidence supporting a major contribution to neutrino
evolution tends to suggest the above forms could also play a factor in local and globalbrane lensing at least partially. In this context their resulting mass terms are
And the Dirac Mass Matrix is
With
we would use
.
If
then we find the scale is far below that of the electro-weak symmetry breaking scale.
If
And
These masses would fit well with those required of solar system observation data at
present.
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Now the probability for say to oscillate into sterile neutrinos is given by
Where
And
The current observation evidence shows the neutrino flux far below SM predictions and
best alternative is some form of oscillation is going on. The actual data shows only afraction get converted to sterile forms. It is this fraction I find most suspect considering
the C velocity difference internal to external system is 8 meters per second which in itself
suggests something of a fractural nature.
Large fluxes of anti-electron neutrinos are produced at nuclear power reactors. If the
flux can be either predicted accurately or measured by a nearby detector, measuring
the flux at a certain distance L from the reactor gives the electron neutrino survivalprobability as
The results of current experiments are consistent with no oscillation hypothesis, that is,
The electron neutrino survival probability is determined by
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For
and the values chosen for the
The implication of test data so far is
Thus, I see our focus should be on those neutrinos that should contribute and do not.That leads us back to the following states.
If we treat this Lensing along lines utilized in BHs in the Bulk then we could utilize the
model used by Whisker which is an RS model type II with a Reissner-Nordstrom black
hole . The metric I will ignore for the moment since it can be found in several articles.
The important issue is the charge has two effects:
1.) The tidal charge parameter Q comes from the projection on the brane of free
gravitational field effects in the bulk, and it can be positive or negative. When Qis positive, it weakens the gravitational field,
2.) And if it is negative the bulk effects strengthen the gravitational field,(see
Authors notes on this.)
The horizon radius is given by
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And the radius of the Photon Sphere by
The near horizon metric would be
This is a modified version of the normal Schwarzschild one. We could utilize the above
equations with the neutrino mass/energy to get a picture of the lensing effect.
It would have to be assumed that since we have one local velocity of light in system and
another external that these lensing neutrinos shed energy into brane lensing along theirpath from the Sun outward.
We can then look at the following idea proposed by Fernando Loup.
In a more generalized form, considering the metric
It follows,
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We observe that k is large for Brane Lensing. In turn, H doesnt need to be large and
It follows that
And
Manipulating this we get
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Consider then
Where g00=1 we have
So that
We then find that
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From which we find
When is always positive. With the limit case we get
When
where k is the coefficient for the Chung-Freese Brane Lensing.
The total energy needed for local brane lensing is given by
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it follows that for dV to account for the Universe and Hyperspace dimensions,
we must have
What one needs to get a proper picture here is to return to the older Dirac lattice idea on
the Planck scale. Each Planck unit is seen as a miniature BH. If we consider these BHsas mini-in-Bulk Blackholes then every particle has a Bulk BH inside it. While some
particles stay on Brane and some travel off brane these specific Neutrinos lack of altering
normal neutrinos may be explained as their energy transforms the local brane lensing andin the process alters our in system velocity of light instead of the other. The external to
local difference in C is only 8 meters per second based upon the Pioneer Probes signal
difference which I suspect is evidence of just such a case.
The total flux of neutrinos from the sun ought to be some 200 000 000 000 000 000 000
000 000 000 000 000 000 per second, corresponding to a flux of about 6.5 1010
neutrinos per square centimeter per second hitting the earth. The flux of neutrinos
observed in Super-Kamiokande is less than 40% of that predicted from standard solar
models (Fukuda et al 1998c). No significant variations with either day/night or season
have been observed. The energy spectrum of the neutrinos is not significantly differentfrom expectations, though there is a hint of a surplus (or smaller deficit, rather) at the
highest energies (Fukuda et al 1998e; Normile 1998a).
Neutrinos of different mass will behave in the same way as K0 mesons. The SNO hasconfirmed that the other 60% do indeed exist as other flavors of neutrinos. This has
given further weight to the KK based modeling.
A small mass difference and a high energy translates to a very long oscillation distance.
With the other evidence of little or no oscillations and the fact that the KK series does
exist at least in part there is further evidence for this theory and its long range effect outto the bounds of our Solar system would be well supported.
Reference:1.) R. Whisker, Phys. Rev. D 71, 064004 (2005)2.) Fernando Loup, Paulo Alexandre Santos, Dorabella Martins da Silva Santos,
Hyperdrive A Go Go-The Star Wars Hyperdrive September 24, 2003
AUTHORS NOTES:
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http://www.talkorigins.org/faqs/faq-solar.html#FukudaEtal1998c#FukudaEtal1998chttp://www.talkorigins.org/faqs/faq-solar.html#FukudaEtal1998e#FukudaEtal1998ehttp://www.talkorigins.org/faqs/faq-solar.html#Normile1998a#Normile1998ahttp://www.talkorigins.org/faqs/faq-solar.html#FukudaEtal1998c#FukudaEtal1998chttp://www.talkorigins.org/faqs/faq-solar.html#FukudaEtal1998e#FukudaEtal1998ehttp://www.talkorigins.org/faqs/faq-solar.html#Normile1998a#Normile1998a8/14/2019 Full Neutrino Article
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The control of the Israel condition on the brane, at least the part that we can control is the
pressure P and the energy density p associated with matter confined on the brane. Any
increase here increases the warp factor. The actual equation used in general form is:
-6u=25(1/2P + 1/3p)
(* if we could generate negative energy then in essence wed be doing the opposite and
increasing the volume by lowering the local warp factor) In a normal condition this is
assumed as a constant where p=-3/2P.
For Neutrinos, depending upon how they appear in the Bulk and their associated tidal
charge parameter Q from the equations in this article they could simulate or create either
an increase or a decrease in local brane lensing. As mention more than the three KKseries may be involved here and the resulting 8 meters per second velocity difference in
system to external of our system could be a combined effect where different tidal charge
parameters are mixed.
It was the Sunward pointing vector in this problem that suggested to me to look for
properties the Sun has which led to what type of particles it puts out. One can ignoreboth photons for lack of evidence there and exotic particles of heavy mass since their
effect would be short range in nature. The only missing element under the SM is the
neutrinos themselves. The Sunward direction suggests a vector quality not a scalar one in
and of itself.
The major reason I ignored them for the sake of this article is the other KK series
neutrinos should travel off bulk with little effect to our brane and it is the three KK seriesneutrinos which should be contributing to neutrino oscillation and do not. This begs the
question what do they do? When you combine this with apparent observation evidence
from the Pioneer Probe of a sunward directed slowdown and consider the properties ourSun has their lack of contribution in one area tends to suggest they may contribute in
another area.
While I agree this is all speculative at best. Since we only have the data from one Probe
to look at the alternative is to suggest that something is wrong with Einsteins General
Relativity. I would also suggest this could go a long way to solving some of the other
observational evidence that seems to suggest C could be a variable that has called intoquestion Einsteins Special Relativity. If one remembers his C as a constant depends
upon certain vacuum conditions then the idea of C being able to vary across space-time
and cosmic history begins to become possible without a major violation of SR.
In the context of general relativity, gravity is interpreted as the curvature of a 4-
dimensional space-time. The fundamental equations of general relativity are theEinsteins Field Equations:
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Where
Is the Einstein Tensor
And
the energy-momentum tensor of matter. Given that general relativity is the theory thatbest fits available data at solar system scale and beyond, with the noted observation
evidence that C could vary I find no reason to suggest GR is wrong. However, as a slight
modification to GR brane lensing does offer a middle of the ground approach that
preserves GR intact.
As I have also mention this suggests a picture of the space-time consisting of discrete
Planck lattice at the fundamental level. When the gravitational effectbecomes important, there emerges an absolute limit on the smallest scale one
can resolve. The reason is that with high enough energy stored in a local region, one
creates a black hole instead of digging further into shorter distance. We can formulate thisstatement in a mathematically precise way. As is well known, the mass of a
Schwarzschild black hole is proportional to its radius where
Newtons constant can be translated into a length scale
And in D-Dimensional space-time as
By the uncertainty principle, the smallest length scale associated with
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Combining the black hole formula with this minimum uncertainty relation, we get
Since the event horizon hides all the information inside the black hole, it forbidsfurther exploration on scale smaller than the black hole radius given by
This gives us
Thus the Planck length sets the limit on our ability to study the microscopic world.
However our Planck lattice is not fixed, but can grow with increasing energy. This is the
so-called UV-IR connection which can be expressed as
Now consider an ordinary matter system of energy E and size R.. If wedrop this system into a single Planck unit the lost matter entropy mustbe compensated by the Planck units entropy
This also applies to energy transfer into the Planck scale. Thus, the Bekenstein bound
holds even here. The area A is measured in units of
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Quantum Lattice at low energy
Lattice at high energy
We could also picture this along string coupling. The string coupling would be
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This leads to the black hole entropy
With
There would only be a weak coupling and since these neutrino KK states have small mass
the range would be limited which is exactly what the observational evidence suggest.
The governing of curvature is determined by the Israel Condition
K = 8[T -1/3hT]
Where T includes both the brane tension and the fields living on the brane. The brane
tension is governed by the discontinuity in the slope of the warp factor of the brane.
ds2 = e-2ydxdx + dy2
is the usual five dimensional metric when T = 0. If one follows the double braneapproach our brane has negative tension and the hidden brane has positive tension.
In the single brane approach you vary gravity by varying the single brane tension which
varies the volume of AdS hyperspace and Bulk space-time in an opposite fashion also.So assuming we have no energy condition violations to account for and all energy is
positive in our space-time the way to alter the brane tension of our single brane is toincrease or decrease the energy present. If positive energy works to compact the volume
then reducing the energy should work to increase the volume.
The only usable way to achieve this that does not involve weak energy conditionviolations requires either a carrier particle that affects at least locally the Israel condition
or a process to shift energy into the Planck scale. Nature seems to use both a carrier and
a reduction in local mass/energy density with the later not involving weak energycondition violations.
As far as the hyperdrive idea proposed by Fernando Loup goes we can only reproduce thefirst and possibly simulate the second with something akin to the Woodward effect
focused at the Planck scale.
.
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