Energy Field Equation

Energy Field Theory 

The energy field theory aims to describe the four fundamental forces and elementary particles within a single, cohesive framework. In physics, forces can be described as fields (such as the gravitational field, the electromagnetic field, the strong nuclear field, and the weak nuclear field) that mediate interactions between objects.

 

Energy Field Equation 

g (⟹ St) ⟹ E (⟹ w) = m (⟹ s, em) x c². Gravity is the curvature of spacetime caused by energy. Energy equals mass, where the weak interaction of radioactive decay causes mass-energy conversion; the strong interaction of binding nucleons, mediated by gluons, causes energy-mass conversion; and the electromagnetic interaction of binding atoms and molecules causes energy-mass conversion, and rest mass to convert into light, resulting in a net loss of system mass, multiplied by the square of the speed of causality, which acts as the fundamental conversion factor that quantifies the equivalence of mass and energy; c represents the speed at which massless particles, like photons, travel in a vacuum. Because photons possess both energy and momentum, Einstein's theory of general relativity dictates that they generate their own gravitational field, contributing directly to the warping of spacetime. 

 

Theoretical Framework

The aim of the energy field equation is to show that the interchangeable equivalence laws governing Einstein's energy equation and the conservation of energy equally apply to gravity and force. Spacetime and force are different manifestations of the same mass-source. They function in parallel, but not as independent, separate systems. They are intertwined, partner manifestations, working together to dictate how energy behaves.

 

The Broken Equation: The Grand Struggle to Unify Geometry and Energy

While spacetime geometry and stress-energy (or stress-energy-coupled geometry) are intrinsically linked and operate within a unified, and symmetric system, current physics cannot make them work together mathematically in all situations. 

 

Harmonizing the Continuum

We can model spacetime and physical forces by focusing on energy balances and mass-energy conversion factors to capture the co-evolution of stress-energy-coupled geometry. This creative alternative to standard general relativity is designed to bypass structural singularities.

 

Energy Equation

E = mc². The rest mass (m) and energy (E) are equivalent, scaled by the square of fundamental speed of causality (c²). Mass and energy are interchangeable forms of the same thing. The speed of causality squared is the conversion factor, converting mass into energy and energy into mass, showing that mass is a concentrated form of energy. This constant value ensures the equation's unit's balance. The speed of causality squared works as a multiplier that quantifies the energy equivalent of mass. The equation shows that a small amount of mass can be converted into a large amount of energy, and a small amount of energy can be converted into a large amount mass due to the value of the speed of causality squared. In the equation, the increased mass of a body multiplied by the speed of causality squared is equal to the energy of that body.

m = E/c². The electromagnetic radiation (emr) energy released from an object is equal to the mass lost by that object multiplied by the speed of causality squared.

 

Fundamental Interactions

The electromagnetic (em) and strong (s) interactions propagate and mediate at the speed of causality in a vacuum. The electromagnetic interaction is mediated by the exchange of photons, which are quantum particles of light that travel through space at the speed of causality; c appears in Maxwell’s equations, connecting electric and magnetic fields, where c represents the speed of causality in a vacuum. While the interaction is mediated by c, the square of the speed (c²) appears frequently in electromagnetic formulas that relate electric and magnetic fields (showing that magnetism is a relativistic consequence of electricity) or when converting energy to mass.

The strong interaction is mediated by gluons, which are massless and therefore propagate at c. The energy required to break bonds (binding energy) is often converted to mass using E = mc².

The weak (w) interaction plays a significant and specialized role in the behaviour of em fields and interactions.

• At low energies the electromagnetic fields act independently, governed by Quantum Electrodynamics (QED).
• At high energies / nuclear scale, the weak interaction is crucial for transformation of particles that produce electromagnetic fields.
• The photon and weak intermediate vector bosons (W, Z), that mediate the weak nuclear interaction, are intrinsically linked, being descendants of a single electroweak field.
• The weak interaction plays a role in decay and transformation. It does not cause em fields to decay; it is responsible for the decay of particles that generate electromagnetic fields and transforming the underlying source of electromagnetic change.
• The electromagnetic interaction conserves particle identities, the weak interaction changes the flavor of quarks and leptons (e.g., transforming a neutron into a proton).

 

Nucleon Interconversion (via Weak Interaction)

The proton and the neutron are closely related, interchangeable forms of the nucleon and can be converted into each other. While they are not identical as neutrons are slightly heavier and have no charge, they are treated as different states of a nucleon.

 

Beta-Minus Decay

A neutron converts a proton, releasing an electron and an antineutrino.

 

Beta-Plus Decay

A proton converts to a neutron, releasing a position and a neutrino.

 

Interchangeability via Weak Interaction

• Protons and neutrons are two different forms of a nucleon, and within an atomic nucleus, they interact and exchange identities through the strong interaction (via pion exchange) and can be converted through the weak interaction (via beta decay). The weak interaction changes the flavor of quarks. In this process, a proton (uud) converts to a neutron (ddu) by changing an up quark to a down quark (beta-plus decay), and vice versa (beta-minus decay).
• Quark Level: This process occurs because the weak interaction can change a down quark in a neutron into an up quark in a proton, and vice versa.

In the framework of Quantum Field Theory (QFT), forces are not actions at a distance, but results of particles exchanging the virtual gauge bosons. The total of 11 bosons (3 for the weak interaction and 8 for the strong interaction), account for all mediators of the nuclear forces within the Standard Model of particle physics (excluding the photon for electromagnetism and the hypothetical graviton for gravity).

 

How Interactions Align with E = mc²

The weak, strong, and electromagnetic interactions align with energy conversion, described by Einstein’s mass-energy equivalence, E = mc².

• The weak interaction of radioactive decay causes mass-energy conversion.
• The strong interaction of binding nucleons causes energy-mass conversion, which contributes to most of the visible matter in the universe.
• The electromagnetic interaction of binding atoms and molecules causes energy-mass conversion. In addition, the em interaction cause rest mass to convert into useable energy in the form of light.  

The strong interaction accounts for approximately 99% of the mass of atomic nuclei, and the electromagnetic field contributes approximately 0.1% to the mass of nucleons. The Higgs field, which provides inertia mass to elementary particles (electrons, quarks), accounts for approximately 1% of ordinary mass.

 

Energy-Interaction Equation 

E (⟹ w) = m (⟹ s, em) x c². Both the electromagnetic and the strong interactions are mediated by massless gauge bosons (photons for electromagnetism and gluons for strong interaction), which means changes in these fields propagate at the speed of causality in a vacuum. The velocity of electromagnetic waves, the speed of causality, and the propagation speed of changes in the color field for the strong interaction is c =1. The strong and weak interactions propagate through field interactions via the exchange of 11 distinct force-carrying gauge bosons. The factor c² is fundamentally used in context to both electromagnetic and strong interactions, primarily as the conversion factor between mass and energy in determining the energy scale of force carriers.

The electromagnetic radiation of photons is emitted from atoms by electron energy transitioning from a higher energy level to a lower level, and travel freely at c in a vacuum over long distances, as massless neutral bosons. Gluons, due to their color charge, are restricted within hadrons (including protons and neutrons) by the strong interaction, meaning that even though gluon fields propagate at c in a vacuum, they can only travel freely over short distances. This is a fundamental distinction between Quantum Electrodynamics with photons and Quantum Chromodynamics with gluons.

 

Interaction Summary

The energy stored in electromagnetic, weak, and strong interactions forms mass. The binding energy of these fundamental interactions contributes to the total mass in E = mc². The nature of the contribution is different to the strong interaction (which binds quarks to create most of the mass of nucleons), whereas the Higgs field gives fundamental particles their intrinsic mass. The weak interaction contributes to mass primarily through the Higgs mechanism, which makes its force carriers (W and Z bosons) massive. Because the weak interaction is mediated by massive bosons, it contributes directly to the total mass-energy of the system, however, its contribution to the mass of matter (nucleons) is tiny compared to the strong interaction.  

 

Gravity

General relativity describes gravity as the curvature of spacetime caused by mass and energy. Objects follow the straightest possible path (geodesics) through this geometric curvature. The stress-energy tensor (density, pressure, momentum) is the source that dictates the curvature of the four-dimensional spacetime continuum. Spacetime can have curvature even in regions where the stress-energy tensor is zero (a vacuum), such as around blackholes or in the presence of gravitational waves, as the curvature is carried from distant sources.

Spacetime perturbations (gravitational waves) propagate at the speed of gravity, which equals the speed of causality (c) in a vacuum; speed of gravity = speed of gravitational waves = c.

 

General Relativity 

g ⟹ St. Gravity is caused by the geometric curvature of spacetime, which in itself is caused by mass-energy. The speed of gravity, specifically the propagation of gravitational waves in a vacuum, is equal to the speed of causality (c). Experimental and theoretical physics confirm that gravitational waves and light (electromagnetic radiation) propagate at the same speed in a vacuum.

Spacetime and mass-energy are not separate, but interwoven components of the same entity. In General Relativity, the Einstein gravitational constant acts as the conversion factor that quantifies how much spacetime curves in response to a given amount of mass-energy. 

All energy curves spacetime, therefore a high energy, massless photon will cause a tiny amount spacetime curvature, causing a minuscule gravitational wake (perturbation in spacetime metric). While a photon in a vacuum does not create a “gravitational wave (which requires an accelerating mass), it does create a distortion in the spacetime metric, which acts like a gravitational field accompanying the photon at the speed of causality. Showing that it is theoretically possible to reconcile the mathematical descriptions of quantum gravity at extreme scales.

The gravity equation provides physics-based support for the block universe theory, which defines the simultaneity of time. All moments in time - past, present, and future are equally relative and exist within a four-dimensional spacetime model. This view is consistent with relativistic physics, where space and time are combined into a single, unified, and fixed entity.

 

Energy Field Equation 

g (⟹ St) ⟹ E (⟹ w) = m (⟹ s, em) x c². Gravity is caused by the geometric curvature of spacetime, which itself is caused by energy. Energy equals mass, where the weak interaction of radioactive decay causes mass-energy conversion; the strong interaction of binding nucleons, mediated by gluons, causes energy-mass conversion; the em interaction of binding atoms and molecules causes energy-mass conversion, and rest mass to convert into light, resulting in a net loss of system mass, multiplied by the square of the speed of causality, establishing the scale of conversion.

Mass can convert entirely into energy through photon production. At the Planck scale, a fundamental particle carrying the Planck mass would yield approximately 1.96 gigajoules of energy. Because photons possess both energy and momentum, Einstein's theory of general relativity dictates that they generate their own gravitational field, contributing directly to the warping of spacetime.