This work is a presentation of a modified form of special relativity for field-bosons – in short SBM. Field bosons, for the purposes of this work, are synonymous with the condensates from spin 0-particles. The starting point is the hypothesis that a minimum size of uncertainty ∆x > 2∙rS (rS=Schwarzschild radius) becomes effective with relativistic velocities, from which different limit velocities 0 < v(l,n) < c are derived, depending on the size of the field bosons. In accordance with the SBM model, field bosons under a defined phase limit become massive through spontaneous symmetry breaking. Field bosons can melt into larger condensates through the effects of gravity, whereby their effective mass is reduced, thus also reducing their large-scale gravitative coherence.
Table of Contents
1.0 Introduction
2.0 The Schwarzschild-de Broglie modification of SRT for massive field bosons (SBM)
3.0 Spontaneous symmetry breaking with the formation of a phase boundary
4.0 Higgs mechanism from the SBM model perspective
5.0 Discussion and conclusion
Research Objectives and Topics
This study aims to examine the physical consistency of dark matter and dark energy by proposing a modified form of special relativity specifically for field bosons (SBM). The research investigates how massive field bosons, formed through spontaneous symmetry breaking, can account for observed astrophysical phenomena and reconcile discrepancies within existing cosmological models.
- Modification of Special Relativity (SRT) for field bosons.
- Spontaneous symmetry breaking and phase boundary formation.
- Higgs mechanism under the SBM model perspective.
- Quantitative analysis of dark matter and dark energy in asymptotic flat space-time.
- Resolution of discrepancies such as the "cold dark matter catastrophe" and the Core-Cusp problem.
Excerpt from the Book
Spontaneous symmetry breaking with the formation of a phase boundary
In Fig. 5, the approach to date for determining the limit velocity v_l,n is again shown graphically in the diagram with the example of a field particle with the scale mass Mn. With the help of the SRT and hypothesis (8), the limit velocity v_l,n can be determined at point A, at which point the SB modification of the SRT can be performed in line with equation (16). The result of the modification can be seen in Fig. 5 along the new SBM curve.
The original SRT curve crosses the SBM curve at point B. Intersection B is the part of a phase boundary line where the transition into the lower SBM phase under spontaneous symmetry breakdown occurs. A massive field boson with toroidal symmetry is thus created (see also Fig. 1). As the exit constituents at point B must be very close together at the creation of field bosons, conditions are necessary that probably only existed shortly after the Big Bang. However, Fig. 5 and all following plots and diagrams show energetic conditions in flat space, i.e. without the influence of gravitation. Under these circumstances, a field boson decays irreversibly, in the opposite direction, during a phase transition.
The velocity of a field boson v_ph,n (21) at the phase boundary can be determined by equating (15) with (16). See Fig. 5.
Summary of Chapters
1.0 Introduction: This chapter introduces the challenge of dark matter and dark energy in modern cosmology and motivates the need for the SBM model.
2.0 The Schwarzschild-de Broglie modification of SRT for massive field bosons (SBM): This section outlines the theoretical foundation of the SBM model, including the introduction of limit velocities for field bosons.
3.0 Spontaneous symmetry breaking with the formation of a phase boundary: This chapter analyzes the phase transition of field bosons and the conditions under which they acquire mass.
4.0 Higgs mechanism from the SBM model perspective: This section applies the SBM model to describe mass-transferring effects in a way similar to the Higgs mechanism.
5.0 Discussion and conclusion: This chapter synthesizes the findings and discusses the implications of the SBM model for explaining dark matter and dark energy.
Keywords
Schwarzschild-de Broglie, Special Relativity, Field Bosons, Dark Matter, Dark Energy, Spontaneous Symmetry Breaking, Higgs mechanism, Planck scale, Toroidal symmetry, Mass distribution, Cosmological model, Effective mass, SBM model, Particle physics.
Frequently Asked Questions
What is the primary focus of this scientific study?
The study focuses on presenting a modified version of special relativity for field bosons (SBM) to better understand dark matter and dark energy.
What are the central thematic fields explored?
The central themes include relativistic modifications for bosonic particles, symmetry breaking mechanisms, and the quantitative energy distribution of field bosons in relation to dark matter.
What is the primary research goal?
The goal is to determine the total energy of involved field bosons and place it into a quantitative relationship with their mass-giving effects to model dark matter and dark energy.
Which scientific methodology is employed?
The author uses theoretical physics modeling, incorporating Schwarzschild radius considerations, de Broglie wavelength modifications, and numerical evaluations of energy distributions.
What topics are covered in the main section?
The main section covers the derivation of limit velocities, the mechanics of spontaneous symmetry breaking, the Higgs-like mass transfer mechanism, and the comparison of SBM predictions with existing astrophysical observations.
Which keywords best characterize this work?
Keywords include Schwarzschild-de Broglie, SBM model, field bosons, dark matter, spontaneous symmetry breaking, and Higgs mechanism.
How does the SBM model define the "scale mass" of a field boson?
The scale mass is defined as the sum of the masses of the individual (Higgs) bosons of which the field boson is composed, serving as a reference scale for its effective size.
How does the SBM model explain the core-cusp problem?
The model suggests that field bosons have varying effective masses based on rotation speeds within a galaxy, which provides an explanation for the observed matter density distribution.
- Citar trabajo
- Siegfried Gantert (Autor), 2014, The Schwarzschild-de Broglie Modification of Special Relativity for Massive Field Bosons (SBM), Múnich, GRIN Verlag, https://www.grin.com/document/269167
