Non-relativistic neutrinos and the equivalence principle violation

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Non-relativistic neutrinos and the equivalence principle violation
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Petruzziello, Luciano
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In this talk, I study the non-relativistic limit of the Dirac equation for mixed neutrinos. A thorough analysis demonstrates that such a procedure inevitably leads to a redefinition of the inertial mass. This happens because, in contrast to the usual unmixed situations, the antiparticle sector contribution cannot be neglected. Furthermore, one can show that, when a gravitational interaction is switched on, in the weak-field approximation the mass parameter which couples to gravity (gravitational mass) does not undergo the same reformulation as the inertial mass; hence, the breakdown of the weak equivalence principle is unavoidable.
Keywords Neutrino Physics General Relativity Equivalence principle
Girl (band) Kickstand Order and disorder (physics) Magic (cryptography) Chandrasekhar limit Neutrino Flavour (particle physics) Particle Roll forming Matrix (printing) Steckverbinder Spare part Video Engine Tape recorder Mass Weather Quantum Model building Flavour (particle physics) Inertia Electronic component Single (music) Chandrasekhar limit Receiver (radio) Basis (linear algebra) Mixing (process engineering) Finger protocol Dishwasher Cartridge (firearms) Matrix (printing) Ammeter Mass Membrane potential Gas turbine Antiparticle Week Neutrino Last Ground (electricity)
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whoever won my name is to china but was soon and in my presentation and i'm sure wine or a lot to be sick neutrinos violates that we could be well as principal first of all let me tell you that i feel you stop to be of relevant interest because it would allow us to explore in order to receive behavioral mix of particles for its application in quantum into for magic tests. but it would also allow us to investigate the feasibility of experiments aiming at the texting the cosmic country on the ground which is supposed to be made up of not as we see country and so it would have also cosmological implications and last but not least it would also allow us to search for violation of that we will unspeakable it's possible generalising. action in the quantum real before the beginning let me tell you that i'll be using a simplified to for more than in which the flavor to a question can return in this form here where these am stands for the mass matrix which is known by alan the floor bases but of course it can be that analyzed by means of the well known pianist. metrics was expression in the tooth liver approximation is even by this formula here can therefore start from the food business and see that the experience can be split into the particle and and that article sector them to focus on the lectern and three not only to see that didn't question takes this form here if returning. terms of these two components clearly similar considerations hold also for the mill neutrino by simply exchanging the some script in the these two expressions to look at the not recently made as usual we can assume to single out from the overall spain or this quantity which depends on the mass and require that the time derivative. of what is left the spinner is much smaller don't disturb here therefore the equations that it should be for change accordingly because we can elect some contribution now starting from here we can single out down to about a girl sector from the second expression and put it in the first one to get to the time. lucia on the part about sector for binyam collection of three if we do these a weather were still left with an antiparticle contribution but we can derive these from the engine expression form the me on sector into indies you can imagine that the result of course of formula because the antibody well. the contributions to keep appearing but these records of formula is reduced in a shooting a question for the particle sector election and its genome which contains genetic serious depending on the mascara meters here and also here finally by some in the genetic serious were left. with these sure the question for the electronic during which we can recognise the potential for which is momentum the pendant and acts on the new on public sector and kinetic term in which we can recognise that the inertia last has been redefined by means of these mass perimeter. appearing in the serious the for businesses to ask what happens for additional potential is switched on for this purpose will employ dishwashers solution the weak field regime and here fight the notes the usual and it on and potential to confirm the presence of gravity little. the question should change accordingly and then the partial derivative goes into the quantity which depends on the four corners in connection and on the fear been fields which in the case of the budget solution are represented by these function here for the field lines and this function here for the four corners single connection. now by for the requiring that this term can be neglected because we are in the weekly the limit and in reality sick case we can then resort to the same procedure i should be for to arrive at these expression for the shooting at a question of the electronic seeing where we can see that there is still these potential which. now the plans also on gravity there are some other factors but most importantly we can see that these gravitational potential was multiplied by the would be gravitation on the us which did not undergo the same of deflation as the national last the by leading to an apartment to equivalents principal violation. clearly if we are counted for this quantities would have only gotten a different expression for the redefinition of inertia mass and potential but the week occurrence principle would still have been violated.
thank you for your attention.