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arXiv:0802.2991 · International Journal of Modern Physics A

TEST OF EFFECT FROM FUTURE IN LARGE HADRON COLLIDER: A PROPOSAL

HOLGER B. NIELSEN, MASAO NINOMIYA

Published Aug 18, 2009• 41 citations

Abstract

We have previously proposed the idea of performing a card-drawing experiment of which the outcome potentially decides whether the Large Hadron Collider (LHC) should be closed or not. The purpose is to test theoretical models such as our own model that have an action with an imaginary part that has a similar form to the real part. The imaginary part affects the initial conditions not only in the past but even from the future. It was speculated that all the accelerators producing large amounts of Higgs particles such as the Superconducting Super Collider (SSC) would mean that the initial conditions must have been arranged so as not to allow these accelerators to work. If such effects existed, we could perhaps cause a very clear-cut "miracle" by having the effect of a drawn card to be the closure of the LHC. Here we shall, however, argue that the closure of an accelerator is hardly needed to demonstrate such an effect and seek to calculate how one could perform a verification experiment for the proposed type of effect from the future in the statistically least disturbing and least harmful way. We shall also discuss how to extract the maximum amount of information about such as effect or model in the unlikely case that a card preventing the running of the LHC or the Tevatron is drawn, by estimating the relative importance of high beam energy or high luminosity for the purpose of our effect.

DOI: 10.1142/s0217751x09041524

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We propose an experiment which consists of drawing a card and using it to decide restrictions on the running of Large Hadron Collider (LHC) at CERN, such as luminosity and beam energy. There may potentially occur total shut down. The purpose of such an experiment is to search for influence from the future, that is, backward causation. Since LHC will produce particles of a mathematically new type of fundamental scalars, i.e. the Higgs particles, there is potentially a chance to find unseen effects, such as on influence going from future to past, which we suggest in the present paper.

We argue that a restriction determined by a drawn card or quantum random numbers, on the running of LHC (Large Hadron Collider), which was proposed in earlier articles by us, can only result in an, at first, apparent success whatever the outcome. This previous work was concerned with looking for backward causation and/or influence from the future, which, in our previous model, was assumed to have the effect of arranging bad luck for large Higgs producing machines, such as LHC and the never finished SSC (Superconducting Super Collider) stopped by Congress because of such bad luck, so as not to allow them to work.

We analyse an iterated version of Nielsen and Ninomiya (N&N)'s proposed card game experiment to search for a specific type of backward causation on the running of the Large Hadron Collider (LHC) at CERN. We distinguish "endogenous" and "exogenous" potential causes of failure of LHC and we discover a curious "cross-talk" between their respective probabilities and occurrence timescales when N&N-style backward causation is in effect. Finally, we note a kind of "statistical cosmic censorship" preventing the influence from the future from showing up in a statistical analysis of the iterated runs.

In recent years, an interest in the study of quantum information has grown within the high-energy particle physics community. The possibility to establish the presence of entanglement at particle colliders, such as the Large Hadron Collider (LHC) at CERN, is a novel and thrilling research direction, offering the opportunity to push quantum mechanics to its limits by using the heaviest fundamental particle: the top quark. With this in mind, we propose to use measurements of quantum entanglement to probe the behaviour of fundamental interactions and to search for New Physics at high energy within the Standard Model Effective Field Theory paradigm. Inspired by recent proposals to measure entanglement of top quark pairs produced at the LHC, we examine how the existence of new interactions between fundamental particles modify the Standard Model expectations. By performing analytical calculations, we unveil a non-trivial pattern of effects depending on the kinematical phase space configurations.

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We develop some formalism which is very general Feynman path integral in the case of the action which is allowed to be complex. The major point is that the effect of the imaginary part of the action (mainly) is to determine which solution to the equations of motion gets realized. We can therefore look at the model as a unification of the equations of motion and the ``initial conditions". We have already earlier argued for some features matching well with cosmology coming out of the model. A Hamiltonian formalism is put forward, but it still has to have an extra factor in the probability of a certain measurement result involving the time after the measurement time. A special effect to be discussed is a broadening of the width of the Higgs particle. We reach crudely a changed Breit-Wigner formula that is a normalized square root of the originally expected one