Heisenberg’s lattice world: The 1930 theory sketch

Carazza, B.; Kragh, Helge

doi:10.1119/1.17848

Cited by 30 publications

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“…153 Nevertheless, Heisenberg's Gitterwelt developed a philosophical and scientific following, which was met with some disdain. 152,154 I've been told 155 that when Wilson presented his lattice gauge theory in a seminar at Caltech, he deflected an aggressive line of questioning from Richard Feynman with, "I am not a kook; this is not a kook's lattice!" This give-and-take seems to reflect a lingering apprehension against a lattice as fundamental, while underappreciating its mathematical utility.…”

Section: Discussionmentioning

confidence: 99%

Lattice Gauge Theory and the Origin of Mass

Kronfeld

2013

100 Years of Subatomic Physics

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Most of the mass of everyday objects resides in atomic nuclei; the total of the electrons' mass adds up to less than one part in a thousand. The nuclei are composed of nucleons-protons and neutrons-whose nuclear binding energy, though tremendous on a human scale, is small compared to their rest energy. The nucleons are, in turn, composites of massless gluons and nearly massless quarks. It is the energy of these confined objects, via M = E/c 2 , that is responsible for everyday mass. This article discusses the physics of this mechanism and the role of lattice gauge theory in establishing its connection to quantum chromodynamics.

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Section: Discussionmentioning

confidence: 99%

Lattice Gauge Theory and the Origin of Mass

Kronfeld

2013

100 Years of Subatomic Physics

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“…It should be noted that Heisenberg did return to the idea of discontinuous spacetime in 1930, but these later speculations must be seen in the context of his efforts to build a new quantum ªeld theory, and did not form part of his understanding of quantum mechanics, with which we are concerned here(Carazza & Kragh, 1995).…”

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confidence: 94%

Indeterminacy and the Limits of Classical Concepts: The Transformation of Heisenberg's Thought

Camilleri

2007

Perspectives on Science

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This paper examines the transformation which occurs in Heisenberg's understanding of indeterminacy in quantum mechanics between 1926 and After his initial but unsuccessful attempt to construct new quantum concepts of space and time, in 1927 Heisenberg presented an operational deªnition of concepts such as 'position' and 'velocity'. Yet, after discussions with Bohr, he came to the realisation that classical concepts such as position and momentum are indispensable in quantum mechanics in spite of their limited applicability. This transformation in Heisenberg's thought, which centres on his theory of meaning, marks the critical turning point in his interpretation of quantum mechanics.

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“…Along with this discretization, he proposed to replace the differential equations used in physics with difference equations. Niels Bohr and Wolfgang Pauli pointed out obvious problems with the concept, including the breaking of isotropy of space, and nonconservation of energy and momentum [7,8]. Additionally, it appeared that the concept of a fundamental or smallest length breaks Lorentz invariance-this ostensibly smallest length would be Lorentz-contracted to a yet smaller value in a moving reference frame.…”

Section: à8mentioning

confidence: 99%

The lattice world, quantum foam and the universe as a metamaterial

Crouse

2016

Appl. Phys. A

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This work describes the gravitational effects of an ordered array of Planck masses, arrayed in a cubic lattice with a lattice constant equal to the Planck length. This work adds the property of spatial order to the concept of quantum foam that was introduced by John Wheeler over 50 years ago. It is shown that this ordering results in new gravitational phenomena that affect elementary particles with masses close to the Planck mass. The only known elementary particles with a mass comparable to or greater than the Planck mass are black holes. Calculated in this work are the energies of particles within the crystal, their dispersion curves, group velocities and effective inertial masses. It is shown that, for particles having particular energies and momenta, the crystal can modify the inertial mass such that it is no longer equal to the gravitational mass-a violation of Einstein's equivalence principle in appearance only. Under certain conditions, particular particles can have a negative effective inertial mass such that it is pushed by the pull of an external gravitational force produced by sources other than the crystal. The connections between the effects of the gravity crystal and dark energy and dark matter are discussed. Also discussed is how to determine the properties of the universe-wide gravity crystal by studying the motion of black holes and galaxies-in effect using black holes as hyper-resolving microscopes to study the fine structure of the universe.

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Heisenberg’s lattice world: The 1930 theory sketch

Cited by 30 publications

References 0 publications

Lattice Gauge Theory and the Origin of Mass

Lattice Gauge Theory and the Origin of Mass

Indeterminacy and the Limits of Classical Concepts: The Transformation of Heisenberg's Thought

The lattice world, quantum foam and the universe as a metamaterial

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