# The Concept of Infinity, A Key to the Keys

**Background**. Several pages have explored infinity over the years.

**https://81018.com/infinitesimal/** From infinity to the infinitesimal, there are no less than 60.doublings of the Planck scale numbers prior to a “point particle” definition (June 2020)!

**https://81018.com/redefining/** A nexus of transformations defines the Infinite-Finite relations and this is the most simple page to encapsulate that expression (May 2020).

**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 *(Nov. 2019).

**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/lemaitre-today/** A major ongoing investigation of this finite-infinite debate will be with theory of Kenneth Wilson to define phase transitions within a scale with known boundary conditions. Also, the work of André Petermann (and Stueckelberg) will be analyzed (June 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/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 (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)*Quantum Electrodynamics at Small Distances*(**PDF**),

M. Gell-Mann and F.E. Low, Phys. Rev. 95, 1300 (1954)*Introduction to the Theory of Quantized Fields*, N.N. Bogoliubov and D.V. Shirkov, Interscience Publishers, New York (1959);- 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****(PDF)**, J.C. Collins, Cambridge University Press, (1984).

See Freeman Dyson and Renormalization

NOTE: Oldstone Conference of 11 to 14 April 1949 was the third of three postwar conferences held to discuss quantum physics; arranged for the National Academy of Sciences by J. Robert Oppenheimer, chairman. It followed the Shelter Island Conference of 1947 and the Pocono Conference of 1948.