Reductionism is any related philosophical idea regarding the associations between phenomena described in other more straightforward or more fundamental phenomena.
Ontological reductionism: a belief that the whole of reality consists of a minimal number of parts. Methodological reductionism: the scientific attempt to explain in terms of ever-smaller entities.
Theory reductionism suggests that a newer theory does not replace or absorb an older one but reduces it to more basic terms. Theory reduction itself is divisible into three parts: translation, derivation, and explanation. Reductionism can be applied to any phenomenon, including objects, problems, causes, theories, and meanings.
For the sciences, the application of methodological reductionism attempts explanation of entire systems in terms of their constituent parts and their interactions.
Quantum Holonomy Theory: This is a non-perturbative theory of quantum gravity coupled to fermionic degrees of freedom. The approach involves holonomy-diffeomorphisms on a 3-dimensional manifold and encodes the canonical commutation relations of canonical quantum gravity formulated in Ashtekar variables. Reductionism has an endpoint; we are near that point, my friend. Your reality is in 3D; get used to it. The Grand Unification Theory will show up soon.
A gauge field is a recipe for any combinations of movements. These recipes all fold into a “configuration ” space. In physics, these are used to describe a whole system’s state as a single point in a high-dimensional space. These recipes are in a relationship with each other. These space geometries share a lot of information.
A gauge theory is a type of approach in physics. The word gauge means a measurement, a thickness, an in-between distance (as in railroad tracks). Gauge theories are critical as successful field theories explaining the dynamics of elementary particles. Gauge theories are also crucial in explaining gravitation in the idea of general relativity. An alternative theory of gravitation, gauge theory gravity, replaces general covariance with an accurate gauge principle with new gauge fields. Today, gauge theories help condense matter, nuclear, and high energy physics, among other subfields.
The fundamental structure of particles, and the forces that hold them together. 1. The electron. 2. The up & down quarks in the nucleus of the atom. They bind together to make protons and neutrons. ALL OF THE MATTER IN THE UNIVERSE COMES FROM THESE THREEPARTICLES. Both quarks and leptons exist in three distinct sets. (ALL THINGS ARE TRIUNE, WITH BINARY INTERACTIVES). All visible matter in the universe is made from the first generation of matter particles — up quarks, down quarks, and electrons. Trillions of neutrinos from the sun are passing through your body, 24/7. These four particles make up the first generation of matter.
All visible matter in the universe is made from the first generation of matter particles: up and down quarks, and electrons. Second and third-generation particles are unstable, and quickly decay into first-generation particles. Three progressively heavier copies of each type of matter particle exist.
Each member of a higher generation has a greater mass than the corresponding particle of the previous generation, with the possible exception of the neutrinos (whose small but non-zero masses have not been accurately determined). All of these matter particles fall into three generations. The three generations are literally copy-paste of the first generation.
Particles are all ripples and fields. Every particle is actually a field. The universe is full of fields, and what we think of as particles are just excitations of those fields, like waves in an ocean. An electron, for example, is just an excitation of an electron field. All of the particles you know—including the Higgs—are actually fields.