60,005 research outputs found
Dimension Four Wins the Same Game as the Standard Model Group
In a previous article Don Bennett and I looked for,found and proposed a game
in which the Standard Model group S(U(2)XU(3)) gets singled out as the
"winner". Here I propose to extend this "game" to construct a corresponding
game between different potential dimensions for space time. The idea is to
formulate how the same competition as the one between the potential gauge
groups would run out, if restricted to the potential Lorentz or Poincare groups
achievable for different dimensions of space time d. The remarkable point is
that it is the experimental dimension of space time 4 which wins. So the same
function defined over Lie groups seems to single out both the gauge group and
the space time dimension in nature. This seems a rather strange coincidence
unless there is really some similar physics behind.Comment: After introducing some more review o the previous article the
historical stuff was moved into an appendi
Initial Condition Model from Imaginary Part of Action and the Information Loss
We review slightly a work by Horowitz and Maldecena solving the information
loss problem for black holes by having inside the blackhole - near to the
singularity - a boundary condition, as e.g the no boundary proposal by Hartle
and Hawking. Here we propose to make this boundary condition come out of our
imaginary action model (together with Masao Ninomiya). This model naturally
begins effectively to set up boundaries - whether it be in future or past! -
especially strongly whenever we reach to high energy physics regimes, such as
near the black hole singularity, or in Higgs producing machines as LHC or SSC.
In such cases one can say our model predicts miracles. The point is that you
may say that the information loss problem, unless you solve it in other ways,
call for such a violation of time causality as in our imaginary action model!Comment: Proceedings to ``Black Holes in General Relativity and String
Theory'' in Veli Losjinj, Chroati
String from Veneziano model
This article is about my memories from the discovery that the Veneziano model
describes in fact interacting strings. I came to the understanding of that the
dual or Veneziano model is really a model of strings independently of L.
Susskind and Y. Nambu. A characteristic feature of my approach was that I used
thinking of very high order "fishnet" or planar Feynman diagrams as the way of
at first describing the development of the strings. A chain of constituents
leads to planar diagrams dominating when only neighbours on the chain interact
significantly. The article also mentions the works of Ziro Koba and mine about
extending the Veneziano model first to five external particles - as Bardakci
and Ruegg, Chan Tsou, and Goebel and Sakita also did - and subsequently to an
arbitrary number n of external mesons.Comment: 10 pages, contribution to Conference "The Birth of String Theory" by
Filippo iColomo et al. in Firenze 200
Ginsparg-Wilson Relation and Ultralocality
It is shown that it is impossible to construct a free theory of fermions on
infinite hypercubic Euclidean lattice in four dimensions that is: (a)
ultralocal, (b) respects symmetries of hypercubic lattice, (c) corresponding
kernel satisfies D gamma5 + gamma5 D = D gamma5 D (Ginsparg-Wilson relation),
(d) describes single species of massless Dirac fermions in the continuum limit.Comment: 4 pages, REVTEX; few minor change
The trumping relation and the structure of the bipartite entangled states
The majorization relation has been shown to be useful in classifying which
transformations of jointly held quantum states are possible using local
operations and classical communication. In some cases, a direct transformation
between two states is not possible, but it becomes possible in the presence of
another state (known as a catalyst); this situation is described mathematically
by the trumping relation, an extension of majorization. The structure of the
trumping relation is not nearly as well understood as that of majorization. We
give an introduction to this subject and derive some new results. Most notably,
we show that the dimension of the required catalyst is in general unbounded;
there is no integer such that it suffices to consider catalysts of
dimension or less in determining which states can be catalyzed into a given
state. We also show that almost all bipartite entangled states are potentially
useful as catalysts.Comment: 7 pages, RevTe
Gravitational Lorentz anomaly from the overlap formula in 2-dimensions
In this letter we show that the overlap formulation of chiral gauge theories
correctly reproduces the gravitational Lorentz anomaly in 2-dimensions. This
formulation has been recently suggested as a solution to the fermion doubling
problem on the lattice. The well known response to general coordinate
transformations of the effective action of Weyl fermions coupled to gravity in
2-dimensions can also be recovered.Comment: 7 pages, late
Search for Effect of Influence from Future in Large Hadron Collider
We propose an experiment which consists of drawing a card and using it to
decide restrictions on the running of Large Hadron Collider (LHC for short) 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.Comment: 18pp, comments added, change of title and corrections of main text;
v4:minor typos correcte
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