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Peter Gerwinski – Physik

Quantisation and Gravity

While trying to find out the fundamental mathematical contradiction between general relativity and quantum field theory, I succeeded to describe pair annihilation and creation – phenomena, which are inherent to quantum field theory – using a calculation method which could be, so far, only applied to classical field theories. This is a new quantisation method, which is compatible with general relativity.

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Publications for a General Audience

• Videos

  Quick Overview (1:40 min)
  Quantum gravity? The other way round, it works!
  1920×1080 (65 MiB)

  Video introduction (15:49 min)
  A New Road to Quantum Gravity
  1024×768 (48 MiB)

• Speech (in German, subtitles available)
  6 · 9 = 42. Meine Suche nach der Weltformel
  10 May 2021, 16:30 UTC

  Recording of the speech (1:14:54 h)
  

  1920×1080 (253 MiB),		960×540 (106 MiB)
  English subtitles,		English subtitles

  Recording of the discussion (33:45 min)
  1920×1080 (118 MiB), 960×540 (51 MiB)

  Slides

• Online Comic
  phys – My Hobby: Physics

Visualisations

• Pair annihilation, position representation: MP4 (7.4 MiB), WEBM (1.0 MiB)

• Pair annihilation, momentum representation: MP4 (8.1 MiB), WEBM (953 KiB)

• Pair creation, position representation: MP4 (7.5 MiB), WEBM (1.0 MiB)

• Pair creation, momentum representation: MP4 (6.6 MiB), WEBM (829 KiB)

Scientific Publications

• Scientific talk (video, 18:36 min):
  Rendering Quantum Field Theory Compatible with Gravity
  https://www.peter.gerwinski.de/phys/rendering-quantum-field-theory-compatible-with-gravity.mp4
  1024×768, 50 MiB (2021)

• P. Gerwinski:
  Quantum field theory in the Schrödinger picture
  https://www.peter.gerwinski.de/phys/qft-schr.pdf, 7 pages, 10 figures (2022)

  The many-particle Schrödinger equation of quantum electrodynamics is set up and solved numerically, using a generalised version of a method from quantum chaos. The results for pair annihilation and creation are qualitatively correct. This is an alternative method for second quantisation, which works in the Schrödinger picture, without using time-ordered perturbation theory (Feynman diagrams). It is thus, by construction, compatible with general relativity and with noncommutative geometry via the spin connection.

• P. Gerwinski:
  Rendering Quantum Field Theory Compatible with Gravity
  https://www.peter.gerwinski.de/phys/qft-compat.pdf, 6 pages, 8 figures (2021)

  (This is an earlier version of Quantum field theory in the Schrödinger picture.)

  Quantum field theory is investigated in the Schrödinger picture without using time-ordered perturbation theory (Feynman diagrams) and without producing singularities. The many-particle Schrödinger equation of quantum electrodynamics is set up and solved numerically for special cases, including pair annihilation and creation. This non-perturbative quantisation method makes it possible to combine quantum field theory and general relativity without divergences. In particular it provides a natural way to quantise noncommutative geometry.

• P. Gerwinski:
  Quantum Field Theory. A New Approach, Compatible with Gravity
  https://www.peter.gerwinski.de/phys/qft-approach.pdf, 110 pages, 22 figures (2021)

  This is an introduction to a new approach to quantum field theory. It works in the Schrödinger picture without using time-ordered perturbation theory (Feynman diagrams) and without producing singularities, thus removing the obstacles that prevent us from unifying quantum field theory with general relativity. It explains how to set up and to solve, numerically, the Schrödinger equation for a system where particles and anti-particles can be created and annihilated, and it sketches how to proceed from there to quantum gravity, in particular to the quantisation of noncommutative geometry.

  This is a self-contained introduction to quantum field theory, starting with relativistic quantum theory (Dirac equation). Readers are assumed to be already familiar with non-relativistic quantum theory (Schrödinger equation) and with special relativity.

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