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Hossenfelder, Martin

doi:10.7328/jurpcb/2009247129

Cited by 10 publications

(11 citation statements)

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“…Unfortunately, even if a classical argument was available, it could not easily be transferred to quantum systems, in which the total number of constituents is a very ill defined notion due to virtual particle content. Though large progress has been made regarding the solution of this problem [19,30,43,44,45,46], the issue is still not completely settled and open questions remain [13,42,47].…”

Section: Deformation In Momentum Spacementioning

confidence: 99%

Deformed special relativity in position space

Hossenfelder

2007

Physics Letters B

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We investigate how deformations of special relativity in momentum space can be extended to position space in a consistent way, such that the dimensionless contraction between wave-vector and coordinate-vector remains invariant. By using a parametrization in terms of an energy dependent speed of light, and an energy dependent Planck's constant, we are able to formulate simple requirements that completely determine the active transformations in position space. These deviate from the standard transformations for large velocities of the observed object. Some examples are discussed, and it is shown how the relativistic mass gain of a massive particle is affected. We finally study the construction of passive Lorentz-transformations.

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Section: Deformation In Momentum Spacementioning

confidence: 99%

Deformed special relativity in position space

Hossenfelder

2007

Physics Letters B

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“…Various alternatives or modifications of the firewall scenario have appeared in [10][11][12][13][14][15][16][17] but for the most part these are also alternatives to black hole complementarity. The argument in the present paper, on the other hand, is consistent with black hole complementarity, as formulated in [1], with additional assumptions about the dynamics of the stretched horizon.…”

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confidence: 99%

Black holes without firewalls

2013

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The postulates of black hole complementarity do not imply a firewall for infalling observers at a black hole horizon. The dynamics of the stretched horizon, that scrambles and re-emits information, determines whether infalling observers experience anything out of the ordinary when entering a large black hole. In particular, there is no firewall if the stretched horizon degrees of freedom retain information for a time of order the black hole scrambling time.

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“…For other descriptions, such as discrete space times or space time foams [42,43,44,45,46,47,48] or space represented by spin networks [40], it is not clear if a similar description applies that is based on the relation between the viewing and representation frames.…”

Section: Simple Relations To Physicsmentioning

confidence: 99%

Reference frame fields based on quantum theory representations of real and complex numbers

Benioff¹

2009

Contemporary Mathematics

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A quantum theory representations of real (R) and complex (C) numbers is given that is based on states of single, finite strings of qukits for any base k ≥ 2. Arithmetic and transformation properties of these states are given, both for basis states representing rational numbers and linear superpositions of these states. Both unary representations and the possibility that qukits with k a prime number are elementary and the rest composite are discussed. Cauchy sequences of q k string states are defined from the arithmetic properties. The representations of R and C, as equivalence classes of these sequences, differ from classical representations as kit string states in two ways: the freedom of choice of basis states, and the fact that each quantum theory representation is part of a mathematical structure that is itself based on the real and complex numbers. In particular, states of qukit strings are elements of Hilbert spaces, which are vector spaces over the complex field. These aspects enable the description of 3 dimensional frame fields labeled by different k values, different basis or gauge choices, and different iteration stages. The reference frames in the field are based on each R and C representation where each frame contains representations of all physical theories as mathematical structures based on the R and C representation. Some approaches to integrating this work with physics are described. It is observed that R and C values of physical quantities, matrix elements, etc. which are viewed in a frame as elementary and featureless, are seen in a parent frame as equivalence classes of Cauchy sequences of states of qukit strings.

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Cited by 10 publications

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Deformed special relativity in position space

Deformed special relativity in position space

Black holes without firewalls

Reference frame fields based on quantum theory representations of real and complex numbers

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