It is posited that the frequency of electromagnetic radiation may be quantised and two methods are derived which permit the calculation of the magnitude, delta, of the quantisation.
The work does not establish the existence of frequency quantisation and the two methods derived may be described by the oxymoron, systematically arbitrary.
Both methods rely upon the Fidler diagram.
The first method employs the superposition of a fractal path on the diagram and gives, delta = (V)/(sqrt 2)^(n-1), where n is a disposable odd integer, and (V) is the Planck circular frequency. The second method involves the tiling of the diagram by a succession of self-similar tiles which are progressively-reducing versions of the diagram itself. In this case, delta = (V)/ (sqrt 2)^(2(n-1)), where n is any integer.
Erratum: The relevant Planck quantities on p16 should read:
Planck length, (L) = 4.05134*10^-35 m.
Planck circular frequency, (V) = 7.399825*10^42 Hz.
Planck spectroscopic wave number, (Z) = 2.468316*10^34 m^-1.
Planck specific energy, (S) = 12.1026*10^43 J/m.
Planck specific energy intensity, (I) = 2.987308*10^78 J/m^2.
Planck specific energy density, (D) = 7.373629*10^112 J/m^3.
The work also shows that the Fidler diagram is the two-dimensional projection of a three-dimensional surface.
Inhaltsverzeichnis (Table of Contents)
- Introduction
- Quantisation of the frequency of electromagnetic radiation
- A frequency-quantised Fidler diagram
- The Fidler diagram as the two-dimensional projection of a three-dimensional surface
- The extended Fidler diagram
- References
Zielsetzung und Themenschwerpunkte (Objectives and Key Themes)
This work explores the possibility of quantised electromagnetic radiation frequency. It presents two methods for calculating the magnitude of this quantisation, relying on the Fidler diagram. The work also considers the implications of frequency quantisation for quantum mechanics and its connection to the definition of the second.
- Quantisation of electromagnetic radiation frequency
- Methods for calculating the magnitude of frequency quantisation
- The Fidler diagram and its role in understanding frequency quantisation
- Implications of frequency quantisation for quantum mechanics
- Relationship between frequency quantisation and the definition of the second
Zusammenfassung der Kapitel (Chapter Summaries)
- Introduction: The chapter introduces the concept of quantised electromagnetic radiation frequency and its implications for the understanding of the spectrum. It argues that the notion of continuity is a macroscopic view of fundamentally discontinuous processes. The chapter also discusses the Planck-Einstein-Schrödinger equation and the difficulty in measuring frequency quantisation due to limitations in experimental techniques.
- Quantisation of the frequency of electromagnetic radiation: This chapter explores the concept of frequency quantisation in more detail. It presents two methods for calculating the magnitude of the quantisation, both based on the Fidler diagram. The first method utilizes the superposition of a fractal path on the diagram, while the second method involves tiling the diagram with self-similar tiles.
- A frequency-quantised Fidler diagram: This chapter describes the Fidler diagram and its role in understanding frequency quantisation. It explains how the diagram can be used to calculate the specific energy, intensity, and density of a photon without any additional modifications.
- The Fidler diagram as the two-dimensional projection of a three-dimensional surface: This chapter discusses the three-dimensional nature of the Fidler diagram and its projection onto a two-dimensional plane. It explains the relationship between the diagram and the specific properties of a photon.
- The extended Fidler diagram: This chapter explores the extended Fidler diagram and its implications for understanding frequency quantisation. It provides further insights into the relationship between the diagram and the properties of electromagnetic radiation.
Schlüsselwörter (Keywords)
The primary keywords and focus topics of this work include: electromagnetic radiation, frequency quantisation, Fidler diagram, Planck frequency, quantum mechanics, second, Josephson effect, continuity, discontinuity.
- Quote paper
- William Fidler (Author), 2019, On the quantisation of the frequency of electromagnetic radiation, Munich, GRIN Verlag, https://www.grin.com/document/463095
