A brief summary of documents that look into infinity

The Concept of Infinity, A Key

Background. Several pages have explored infinity over the years.

https://81018.com/bridge/ Return to Newton’s absolute space and time and Leibniz relational view of space and time and then to the  Silk-diValentino-Melchiorri  November 4, 2019 publication, Planck evidence for a closed Universe and a possible crisis for cosmology.

https://81018.com/questions/  Determining the character, form, and functions of the very first instant of the universe is one the primary keys for understanding science, mathematics, and the meaning and value of life (August 2019).

https://81018.com/nature/  Infinity is understood to be continuity, symmetry and harmony, light and other dimensionless constants that appear to create a bridge between the finite and infinite (July 2019).

https://81018.com/lemaitre-today/   A major ongoing investigation of this finite-infinite debate will be the work of theory of Kenneth Wilson with his work to define phase transitions within a scale with known boundary conditions, and also his initiation of the concepts around Wilson’s renormalization group equations and theory.  Also the work of André Petermann (and Stueckelberg) will be analyzed (June 2019).

https://81018.com/constant/  The Finite and the Infinite:  Dimensionless constants are either finite, infinite, or a bridge between them (April 2019).

https://81018.com/infinity/  To create our best possible world, the concept of infinity needs to be part of our conceptual richness. All possible historic questions about infinity need to be explored (Dec. 2018).

https://81018.com/infinitude/  A working summary of facts and guesses about infinity (Nov. 2017).

https://81018.com/infinite/ A looking at the infinite in light of the work of Stephen Hawking and Max Tegmark (MIT). October 16, 2017

https://81018.com/facts/  A working summary of facts and guesses about infinity (Oct. 14, 2017).

https://81018.com/universeview/ Struggling with the concepts. December 2016

In preparation of the in-depth study of renormalization:

  • The Normalization Group in Quantum Theory, E.C.G. Stueckelberg and A.  Petermann, Helv. Phys. Acta 24, 317 (1951);
  • La Normalisation des Constantes dans la Théorie des Quanta, E.C.G. Stueckelberg and A. Petermann, Helv. Phys. Acta 26, 499 (1953)
  • Quantum Electrodynamics at Small Distances
    M. Gell-Mann and F.E. Low, Phys. Rev. 95, 1300 (1954);
  • Introduction to the Teory of Quantized Fields
  • N.N. Bogoliubov and D.V. Shirkov, Interscience Publishers, New York (1959);
  • For an excellent description of the subject see
  • Renormalization and Symmetry: a review for Non-Specialists
    S. Coleman, in Properties of the Fundamental Interactions, Erice 1971, A. Zichichi (ed), Editrice Compositori, Bologna, 605 (1973);
  • Renormalization Group and the Deep Structure of the Proton A. Petermann, Phys. Reports 53, 157 (1979);
  • Renormalization, J.C. Collins, Cambridge University Press, (1984).

See Freeman Dyson