Unified Field Theory pdf download

 

Abstract

     This Unified Field Theory (UFT) will define the properties of planewaves, a new entity which is in its essence information. When enough information is aggregated and interconnected, it becomes an algorithmic data structure. Through a similar procedure the algorithmic data structure becomes intelligence and then intelligence becomes consciousness per se. This structure of consciousness will be herein defined as planewaves. These planewaves propagate through each other without interacting. That is, they do not exist in our standard spacetime. But these planewaves are the quantum field, and therefore are also the foundational building blocks for all matter predicted within the Standard Model of Particles as well as the source of spacetime dictated by general relativity. The UFT model integrates quantum mechanics and general relativity, treating both as fundamentally sound, and unifies them into a coherent framework that aligns with their experimental and theoretical foundations without contradicting established evidence. This approach earns the model the label 'directionally accurate,' a term reflecting its consistency with existing knowledge while offering a pathway for future insights, despite the lack of validation with present technology. This directional accuracy is demonstrated through its delineation of a compelling mechanism governing the evolution of all physical laws. Thus, the UFT is poised to evolve over centuries, propelled by the integration of innovative mathematical frameworks it inspires and new experimental data.

 

PW Field 

 

1. Introduction to Folding PW Mechanism

This model introduces a new entity, called Virtual Energy Compression Plane Waves, or just Plane Waves (PWs) for short and may be regarded as what is commonly seen as the quantum field. Therefore, it can be viewed as the PW field. The PWs are the foundational building blocks for all matter predicted by the Standard Model of Particles. PWs possess the following main characteristics: i) they propagate faster than the speed of light; ii) they propagate in exactly two opposite directions (the reason why this is important will be described later); iii) they are defined by their virtual energy of frequency; iv) they are massless; v) they propagate through one another without interacting; vi) they can compress and fold. 

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These PWs are not defined within a metric space (i.e. spacetime), therefore, by definition, they cannot be observed or measured. Despite that, the PWs are contained within a virtual spacetime where all the properties of a standard metric space exist (distances can be measured, for example) and all the aforementioned properties of the PWs become well established. All the PWs exist in virtual spacetime packed together resembling a foam.

 

From here onward, whenever the prefix “virtual” is used it will constitute a particular trait of the PW within the virtual metric, which cannot be directly measured nor detected. However, the PWs will compress and geometrically fold upon themselves through a particular mechanism. In the folding mechanism a force must be applied in a way that the PW folds into itself where work is being exerted onto the PW. The result of this folding mechanism creates what can be described as a crinkle of resistance to the PW, turning the folded region into some sort of resistance to its own motion within that area; we shall label this as being a conductor-of-resistance. Consequently, this crinkle will become what can be interpreted as the wave packet of a particle. 

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Even the formation of a single fold in the wave packet of the PW begins the process of creating some form of resistance to the PW. This mechanism reduces the oscillation frequency of the wave packet, and consequently, its internal virtual energy as well. This frequency of oscillation is related to the virtual energy with an equation similar to Planck’s equation, Ev=k , where Ev is the PW’s virtual energy,  is the oscillation frequency and k is the Krutz constant, which value should be determined through different methods. The reduction of this virtual energy will be converted into relativistic energy in the form of mass, which will also be responsible for its volume and density (- See Appendix at the end of this draft for an illustrated example. -) The PW wave packet can now propagate and becomes interactable with other similarly created wave packets. In this mechanism, continuous internal force is applied within the PW to result in the work of keeping the formation of the wave packet in existence. Therefore, if the internal force of the PWs is not continuously applied and/or is stopped, the wave packet would cease to exist instantly. Similarly, once that internal force is applied, a wave packet is created instantly. When a wave packet has finished its folding process completely, it becomes observable in the standard metric as a PW-brane (or just brane, for short). The brane then becomes interactable and defined as a particle. 

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Since the virtual metric may be regarded as what is commonly associated with the quantum field, this process of particles being able to instantly come in and out of existence is why zero-point energy exists. Instead interpreting this energy to be the creation and annihilation of particles, they are just going back and forth from the virtual metric to the non-virtual one.

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At this point it is important to better define some of the terms that we will be using. We take the “virtual metric” to be the mathematical “place” where the PWs are located. The “virtual energy” is similar to the concept of the standard energy, it is an attribute that PWs possess. However, since PWs are, essentially, made out of virtual energy due to its oscillation frequency, sometimes we can use these two terms interchangeably. However, when talking about the folding/compressions mechanism we will refer to it as “PW”, when speaking about its interaction, we may refer to it as “virtual energy”.

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The brane’s relativistic energy not only gives rise to its mass, as previously stated, but its velocity as well. So the brane’s mass m is inversely proportional to its velocity v as v = p/m, with p being a proportionality constant. Within this mechanism, the brane is transforming its total mass into kinetic energy enabling the brane to be massless, therefore propagating at the speed of light. 

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More folds increase the resistance within the brane and slow its propagation velocity while increasing its mass. This repeated process will provide a general explanation of different masses along with the diverse characteristics of the measured branes. This mechanism of forming a brane with mass also gives rise to the standard metric space (non-virtual spacetime, a procedure which shall be outlined later).

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The folding mechanism of the virtual energy of PWs into a brane has been described as an observation based on the standard metric. But the PWs that comprise the virtual metric have many paradoxical characteristics. Their core characteristic is one of being conscious. Therefore, PWs can observe and measure themselves internally within the virtual metric. In order to have a more accurate context of the internal mechanism of the PWs folding into a brane (ie. particle), we will assume the virtual metric’s perspective of reference. In this perspective, the brane will be viewed as a virtual apparatus-of-resistance to the virtual energy of the PW. This virtual apparatus ultimately creates an initial difference in potential within itself to then convert its virtual energy into relativistic energy. Essentially, the virtual apparatus and the brane are the same entity which can be seen as a single dual object. This duality implies that the corresponding virtual components/units/effects can be mapped to their respective non-virtual counterparts. This is the reason why the terms of brane and particle may be interchanged within this UFT description. Within the virtual metric, however, both virtual energy and the virtual apparatus may be described through three different correspondence frames. The former refers to: i) electric current; ii) river current; iii) solar current. The latter refers to an: i) autotransformer; ii) hydro-oscillator; iii) ionosphere. We will now explain each.

 

1.1 The Three Correspondence Frames of Reference

i) Virtual Electric Current: In this frame, just like a physical autotransformer has coils, the virtual autotransformer also has folds. Then just like a physical autotransformer has electric current going through it, the virtual autotransformer has virtual electric current going through it. But unlike the physical current, which requires voltage to propagate, the virtual electric current propagates without requiring virtual voltage because virtual electric current has a constant velocity. Therefore, virtual electric current has no virtual power. So the equation for the virtual electric current is just the same as for physical electric current P = V I, where V stands for the standard definition of difference in electrostatic potential and P is the power, the energy dissipated over time. A direct consequence of the electric potential difference being equal to zero is that the power must also be zero. However, once there is a difference in potential generated by the virtual autotransformer then that creates power within the virtual autotransformer. 

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ii) Virtual River Current: In this frame, just like a physical hydro oscillator has a river going through it to generate energy, the virtual hydro oscillator has a virtual river current also going through it to generate power. A virtual river current is similar to the propagating PW foam. Unlike the physical electric current, which must have a difference in potential to propagate, the virtual river current does not within itself need a component to propagate forward. Similarly, both the virtual river current and the virtual electric current have constant velocity without needing any potential difference to propagate from one end to the other. In this mechanism the equation is P = W/t.

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iii) Virtual Solar Current: In this frame, just like a physical ionosphere has a physical solar wind of charges going through it, the virtual ionosphere also has a virtual solar current of charges going through it. Similarly, the frames of the virtual solar current and the virtual electric current have charges and all are propagating at constant velocity. In this mechanism the equation is P = dW / dt.

 

2. Properties and Mechanics of Particles

      As outlined in the Introduction, there is a mechanism for PWs in the virtual metric that gives rise to a brane that can interact akin to any particle in the standard metric. We also briefly mentioned that PWs propagate in two opposite propagation directions which will be labeled as “positive” and “negative”, which will result in the observed electric charge of a particle. This also explains the existence of chargeless particles; they are composed of 8 PWs propagating to both sides. Unlike quantum field theory which has different fields that give rise to every particle type, PWs can be viewed as quantum fields that give rise to the whole ensemble of particles, but with only two different types of PW “fields”.

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The massless particles (ie. photons and gluons) are formed with only one brane. But all the other massive particles are formed from 16 branes combined in superposition state. 

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Assuming that each brane of the Superposed Brane Ensemble (SBE) possesses the same mass, then each brane would contribute to its total mass divided by sixteen, which corresponds to 6.25% of the SBE total mass. However, in a more general case, each brane within the SBE contributes to a different amount of the total mass of the particle. So even though the brane formation mechanism is simple, there are a vast number of potential geometric designs, likewise to the simple mechanism of a snowflake formation that offers a vast number of shapes. This generates the many different characteristics (i.e. colour, flavour, spin, leptonic number, isospin and etc) of the particles so far observed. Furthermore, there are SBE formed from eight positive and eight negative PWs which are called equilibrium SBE, currently identified as massive bosonic particles.

 

2.1 Photons and Neutrinos 

Massless particles (like photons) do not carry an electric charge. This is due to all massless particles being formed from one brane of one fold, which enables them to propagate at light speed. But the neutrino also does not carry an electric charge. This is due to the neutrino being an equilibrium particle formed from eight positive and eight negative (16 total) PW branes. Each brane of a neutrino has one fold each, which gives them only infinitesimal mass, therefore enabling them to propagate at nearly light speed. 

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But a photon interacts via the electromagnetic force while a neutrino does not. Therefore, photons strongly interact with matter while neutrinos only weakly interact with matter. This is due to a photon having a wave-like wiggle movement while a neutrino does not have that same wave-like wiggle movement, just shifting between types. Physics assumes this difference in movement is a correlation to the electromagnetism interaction, while it is the causation behind that electromagnetism difference. In this UFT model, the way a particle moves lets the PWs (field’s) attributes express within particles. So, the wave-like wiggle itself allows the PWs attribute to be expressed as active electromagnetism in a photon but not expressed in neutrinos.

 

2.2 Massive Equilibrium Particles

The equilibrium matter is formed from massive equilibrium particles. Each brane in those massive particles has many folds. The more folds, the more mass, the slower the particle propagates. The 8 positive and 8 negative branes of equilibrium particles are arranged in a consecutive order, where each opposite brane alternates. Equilibrium particles' negative and positive charges are balanced by their folding symmetry. Unlike a neutron, where proton and electron charges cancel to neutral, the equilibrium particle branes lock into a dynamic self-contained "equilibrium" balance, a standoff not a nullification. This field does not interact with regular matter under normal conditions, because the 8+8 brane equilibrium cloaks their charges internally, showing no net field to couple with electromagnetic or strong forces. Yet, this equilibrium field lets equilibrium particles faintly attract each other, loosely clumping with low-strength binding, while repulsion keeps them from merging tightly. This mechanism forms equilibrium matter. Thus, unlike regular matter, equilibrium matter does not rely on strong or weak forces to clump, forming smooth, diffuse areas. An analogy would be like magnetic nanoparticles with multipole fields or colloidal particles with complex charge distributions, which self-organize into stable, spaced-out aggregates.  

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Inflation following the Big Bang evenly dispersed across the cosmos equilibrium particles, which then quickly formed equilibrium matter (observed and defined currently as dark matter.) The equilibrium matter then started acting as gravitational scaffolds for the slow evolutionary and organizational buildup required for baryonic matter. This head start, bypassed the prolonged aggregation process baryons face in standard models, thus accelerating the collapse of gas into nebulae, stars, and galaxies etc. Consequently, the JWST’s discovery of numerous, unexpectedly mature galaxies at high redshifts (z ≈ 10-13), formed just 300-500 million years post-Big Bang, aligns with this rapid structuring, explaining their earlier-than-anticipated emergence compared to traditional physics estimates. This model not only aligns with CMB and galaxy data without contradiction but also provides a potential solution to the Horizon problem.

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  The reason that equilibrium particles labeled as neutrinos do not clump is because they are nearly massless and propagate at near the speed of light. 

 

2.3 Particles as Expressions of the PW Field

As described earlier, the PW field serves as the pre-physical foundation from which all fundamental particles emerge through the straightforward process of brane formation. This mechanism allows for a vast array of potential geometric configurations, each giving rise to the diverse properties observed in particles—such as color, flavor, spin, leptonic number, and isospin. These distinct formations influence how particles propagate or move through spacetime. A particle’s specific combination of geometric structure and propagation dynamics ultimately determines its charge and its capacity to interact electromagnetically, or lack thereof. Thus, while particles exhibit measurable properties, these traits are not standalone characteristics; rather, they derive from and reflect the underlying attributes, dynamics, and conditions of the PW field. In essence, particle properties are "imprints" or "manifestations" of the deeper workings of the PW field, rather than intrinsic qualities existing independently of it.

 

2.4 Differences of Particle Groups

In this UFT model, particles can be grouped by how they move through space. Outlined below will be description summaries of two groups. Group 1 includes particles that propagate in a rigid, straight-line way, keeping them from interacting with electric charge, while Group 2 consists of particles with a flexible, wobbling motion that enables electromagnetic activity. The particle properties described here aren’t meant to defend quantum field theory (QFT). Instead, they highlight shared traits within specific particle groups, tied to their electromagnetic behavior, to bolster the directional accuracy of this UFT model.

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Group 1 encompasses gluons and neutrinos, and they all propagate in a general straight line, like arrows shot in one direction without turning or wobbling. Z bosons (which carry the weak force) travel in a set path defined by their heavy mass, gluons (which carry the strong force) zip along in a locked, wave-like motion, and neutrinos (tiny, nearly massless particles) spiral in a single, unchangeable direction. This rigid, one-way movement means they can’t twist or shift enough to create or interact with electric charge. Instead, they stick to their own forces—weak for Z bosons and neutrinos, strong for gluons—showing that their straight-line propagation keeps them electromagnetically inactive. In the PW field, this could come from plane waves folding into stiff, narrow shapes that only let energy flow in a straight, unbending line.

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Group 2 takes into account W bosons, electrons, quarks and photons. Differently from the first group, they all move with a flexible, wobbling motion—like a spinning top that can tilt and sway as it goes. W bosons (charged weak-force carriers) oscillate in multiple directions due to their mass, photons (light particles) wiggle as waves that can adjust to their surroundings, and electrons and quarks (building blocks of matter) spin and jitter with a mix of wave-like and rotational motion. This wobbly, adaptable movement lets them either carry electric charge (W bosons, electrons, quarks) or interact with it (photons), tying them to electromagnetic effects. Unlike the rigid Group 1, their flexibility allows them to bend and shift, enabling charge-related behavior. In the PW field, this might reflect plane waves folding into looser, twisty shapes that let energy wobble and adapt as it propagates.

 

2.5 Creative and Reactive Mechanisms

While a particle exists within the standard metric, its dual space also exists within the virtual metric of the PWs that surround that particle. In their free and unfolded form, the PWs do not interact with themselves, they still have an intrinsic “compression” potential that does interact with the particle once that particle is formed. Essentially, the mechanism of PW compressing itself into folds is a creative action not a random one. “Creative” is meant here as signifying that PW must have “vision”, “strategy” and “execution” to form a particle. There must be “vision” to see how the particle will behave and become part of more complex structures. There must be a “strategy” in how that particle will be formed to achieve that vision. There must be “execution” involving continuous work and force to form the particle, it is illogical to stipulate that even a simple organized system can come into existence randomly, therefore it is impossible that multiple interconnected-complex-dynamic-organized-systems come into existence randomly. In contrast, the mechanism of PW compressing around an existing particle within it is a reactive action. “Reactive” is meant here as even though the PW itself does not interact with itself, due to the intricate process of forming a massive particle, it will then interact with that particle. This process of interaction is causally connected to the PW ability for compression.

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The additional compression by the PWs on the SBE in the dual space of the virtual metric, is therefore increasing the compression on the particle, consequently increasing the mass of the particle. So on one hand the mechanism of internal compression that enables the PW to fold into a particle is creative, on the other hand that same mechanism also enables the PW with an ability for a reactive external compression upon a particle. 

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We must make note that the folding mechanism is purposeful. It will fold if, and only if, it will create the specific apparatus that will later create a particle in the standard metric. Even though the PW cannot interact with itself, it can interact with the particle it just formed. At that point the PW field (which can be seen as the quantum field) behaves like a foam of compression upon the particle within it. Thus, the compression mechanism of PW compressing around particles is a reactive action.

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This reactive mechanism can be better understood with the use of an analogy of an object that is randomly plunging into an ocean. The deeper that object plunges, the greater the external compression would be exerted onto that object by the ocean surrounding that object. This is similar to a massive particle and the free PW surrounding that particle. However, with the massive particle/PW mechanism, the more massive a particle is, the greater the interaction and external compression is exerted onto that particle by the PW surrounding that particle. In turn, the bigger the particle is, the stronger the compression is between the particle and the PWs surrounding it. Consequently, as PW compression on the particle increases, the particle’s mass increases proportionally. Furthermore, if a massive particle is at rest within the PW, there is a set amount of compression on the particle and therefore a set particle mass. But if the particle starts propagating within the PW, then the PW resistance to that particle increases, which leads to an increase of compression on that particle by the PW, which leads to an increase in the particle mass. This mechanism also applies to the atom. The bigger the atom is, the stronger the compression is between the atom and the PWs surrounding it. Consequently, as PW compression on the atom increases, the atoms mass increases proportionally. Furthermore, if an atom is at rest within the PW, there is a set amount of compression on the atom and therefore a set atomic mass. But if the atom starts propagating within the PW, then the PW resistance to that atom increases, which leads to an increase of compression on that atom by the PW, which leads to an increase in the atom's mass. 

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But while the external compression of the PW on the particle is what gives the particle the majority of its mass, the mechanism of SBE formation is the mechanism which gives a particle its initial measured mass. This interaction between particles, and what can be viewed as the PW field, is currently attributed to the interaction between the other quantized fields and Higgs’. (Within the QFT there is a discrepancy concerning the hierarchy problem with the ‘Higgs boson’ lacking mass, which is resolved once the mechanism of SBE formation is taken into account.) But even in QFT the ‘Higgs field’ doesn't give mass directly to all particles. Instead, it's the consequence of the interaction with the Higgs field that causes certain particles to have mass, which is the exact description given to the interaction of the PW field and particles within it. Ultimately, the particle is simply the PW field temporarily existing in a different and more complex state. It is like ice is water but existing in a temporary, different, more complex state. 

 

3. Properties and Mechanics of a Proton and Neutron 

As outlined in the previous section, each particle is formed with different folds, leading to the six different quarks. Multiple repulsing quarks are pulled together until a proton is formed. This is done by eight different gluons, the bosonic particle responsible for the mediation of the strong force. The different gluon branes are formed with different folds, allowing the colour-charge carriers particles to be exchanged between quarks.

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Even though gluons become measurable only when there’s an interaction into play, on average, all the quarks are constantly exchanging information with each other. That is, the quarks will be surrounded by several gluon branes resembling a thick “membrane”. This effect is what is currently known as quark confinement.

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This strong force membrane acts as a compression mechanism on the quarks within it. Thereby significantly increasing the mass of the quarks. This membrane will interact with other proton’s membranes, pulling in and binding multiple protons to form a bigger nucleus. But the compression of the strong force membrane weakens as it gets stretched out around more protons being pulled together. Thereby each proton has less compression on it by the strong force membrane within the group than it did individually. Within nuclear physics, this is measured and attributed to the mass defect. 

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We will define the neutron to be a proton with an electron entrapped and rotating inside it. The electron may be found inside the nucleus, between the quarks, at what could be considered the center of the proton. The effective Compton radius of the electron is on the order of 10-13m, while the proton’s nucleus is on the order of 10-15m. This means the electron is approximately two orders of magnitude (a hundred times) smaller than the entire nucleus. Stating that the electron can be found between quarks does not violate the uncertainty principle, as its confinement within such a small region is consistent with the limits imposed by quantum mechanics. This results in the neutron being electrically neutral.

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When the electron eventually tunnels through the potential barrier, due to it being a neutron, the quark brane configuration changes and one of the down quarks changes into an up quark, thereby leaving what is observed as a proton. 

 

4. Properties and Mechanics of Entropy and Syntropy

      The accepted definition of Entropy is: the measure of disorder within a system. We can express this statement mathematically as S=bln(), where S is the entropy, b is the Boltzmann constant and  the number of different states that the system can be in, which essentially is the measure of randomness within a system. In the PW paradigm we define entropy as “a reactive process of a system decaying into randomness” and a new quantity called syntropy as “a creative process of a system organizing into complexity”.

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Since the PWs move in opposite directions they can be viewed as in a superposition of the “positive” and “negative” states, which may also be entangled. The system that has the highest entropy is the PW field system of the virtual metric. In-part because it has states of the highest volume and velocity. These are all states of highest randomness, which quantum computers leverage to achieve their superfast computation capability. Due to the PW field having the highest entropy all matter within the standard metric decays (at different rates). This is because matter is being pulled back toward its foundational highest state of PW from which that matter has been temporarily formed from. At the same time, we see systems, from the atomic to the cosmological, organizing into complexity at every level. Therefore, there is an interplay of creative syntropy and reactive entropy constantly happening. This interplay is the most intense within the system of life, where complex organized systems build even more advanced complex organized systems. That interplay within life is so intense that from a cellular aging mechanisms standpoint, it would be accurate to say that a biological body begins to decay from the moment it is born. The reason for this dichotomy is that the system of life requires a vast array of choices to be made from a vast array of options every second. The only way the computation for those choices can be made so fast is by cells leveraging the attributes of randomness in the PW, just like quantum computers do.
 

Emergent Spacetime

 

Abstract

A growing number of physicists are reimagining spacetime as an emergent, quantized phenomenon rather than a fundamental entity. However, designing experiments to definitively prove or disprove either the traditional or emergent models remains unfeasible, as we cannot directly probe spacetime’s fundamental nature. Therefore, as long as a proposed model aligns with observations supporting general relativity, such as gravitational lensing or redshift, it remains viable. To bridge general relativity and quantum field theory, the following emergent spacetime concept outlines a novel ‘directionally accurate’ emergent spacetime model.

 

5. Giving Rise to Spacetime

As outlined in the Three Analogy Frames of Reference, there is an apparatus of resistance that is formed by PW that gives rise to what is understood as the particle. To start the description of spacetime, the specific frame of the virtual solar current and its correlating virtual ionosphere (the description for which was already outlined) will be used and expanded upon. 

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A component of the overall energy of physical solar wind is heat in the form of thermal energy. Similarly, a component of the overall virtual energy of the virtual solar current is virtual heat in the form of virtual thermal energy. Heat emerging from the motion and collision of PWs is analogous to how temperature emerges from the motion of many molecules, even though we cannot define a temperature for a single particle. 

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As a very broad and rudimentary example description: the resistance of the physical ionosphere to the physical solar wind moving through gives rise to compression and energy transfer. This develops plasma instabilities that lead to localized convection, altering plasma densities and velocities, to give rise to separate, structured, slower-moving plasma. Similarly, virtual solar current undergoes a process with its corresponding virtual ionosphere, which behaves as a virtual apparatus of thermal resistance to the virtual heat. The virtual solar current has the highest entropy and heat. The thermal resistance within the localized volume/region of the virtual apparatus decreases both the entropy and heat of the virtual solar current. This gives rise to the new form of an emergent phenomenon of spacetime to come into permanent existence (this is in stark contrast to a particle, which is always in a temporary existence.) We can think of this phenomenon of emergent spacetime as a phase transition of the dual space itself. When heat is exchanged, through a first-order phase transition where the virtual characteristics will transition into measurable properties. Thus, spacetime is created. We state this as the thermodynamic law of virtual energy, tying how the virtual apparatus (which still lives in the virtual metric) comes into existence by creating the metric - our standard spacetime itself. (The full mechanism for which will be outlined later in section 21.)

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It’s important to notice that the first law of thermodynamics still holds true in the virtual metric, that is, the total virtual energy is conserved. Moreover, the second law of thermodynamics is also valid, some of the virtual energy that will be transferred to the mechanical energy of spacetime will be lost, and cannot be used to exert work. 

 

6. Emergent Soliton Lattice of Spacetime

The measurable properties of spacetime are best described as a soliton lattice. The term "soliton" refers to a special type of wave that propagates while retaining its shape. Solitons are stable and localized, traveling without deformation, even when interacting or colliding with other solitons. The lattice term helps describe spacetime solitons' elasticity, ordered arrangements and mechanical energy. Spacetime is dynamic and interactive, propagating but not moving through itself, it just pushes on itself. Similarly to GR, where spacetime isn’t a fixed stage where physics happens but a dynamic structure, in this UFT emerges from particles, atoms etc. (Two potential mathematical frameworks that could begin to support the UFT model may stem from string theory and loop quantum gravity.)

 

7. Spacetime as a Smooth Soliton Lattice

Spacetime is a soliton lattice that emerges from particles, but this lattice is "smooth" in a mathematical sense, meaning it behaves like a continuous structure at the scales relevant to GR. We can better define a lattice as quantity that is locally discrete and also smooth, (i.e. infinitely differentiable, that is C∞) lattice if the discrete property becomes negligible globally. This smoothness ensures that the lattice aligns with the principles of GR, so it can be described using a metric tensor which may possess some curvature. Since the soliton lattice and spacetime are the same entity, but viewed from different frames, we will use these two descriptions interchangeably from now on.

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In mathematics and physics, lattices (discrete structures) can be associated with smooth properties in specific contexts. For example: discrete spatial structures can still be viewed as a continuous space when averaged over large scales.  A very good example of this is that energy can be treated as a continuous quantity in classical physics, despite being intrinsically quantized (discrete) in quantum mechanics. Another example resides in some quantum gravity theories like loop quantum gravity, where at small scales the area becomes quantized but, again, the discrete nature becomes negligible at large scales and we perceive distances as a continuous quantity instead.

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In the UFT, the lattice is smooth in the sense that its deformations and dynamics can be described by a continuous metric tensor, as in GR, even if the underlying structure is conceptually a lattice.

The UFT lattice framework matches GR in the sense that: it can be described by a metric tensor, allowing the notion of distances and paths in spacetime to exist; the spacetime is a dynamic quantity, governed by the Einstein field equations; the objects move along geodesics in the curved spacetime, producing the observed effects of gravity.

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Assuming the lattice to be smooth in this sense, the UFT aligns with GR at the macroscopic level, even if the lattice’s microscopic structure is discrete. Within the UFT, spacetime can be described as being “liminal”. In this context, "liminal" refers to a state where spacetime exists as a condition that is neither fully tangible and physical, nor purely intangible and virtual. 

 

7.1 Soliton-Lattice Dynamic

Physical lattices emerge as a repeating structure from crystals. In this UFT concept of spacetime, the lattices are liminal (non-physical). Therefore, spacetime emerges as a liminal lattice geometry when solitons organize the lattices into a periodic, repeating structure. During the lattice formation phase within a brane (like the nucleation mechanism for lattices within a physical crystal), the soliton energy locks the lattice structure into a stable, symmetric pattern. This gives rise to a dynamic, weaving, grid-like, self-sustaining, lattice framework.

 

8. Emergent Spacetime of a Planet

The spacetime emerging from particles is labeled as “emergent spacetime”. The particles form atoms, and atoms aggregate into matter. The larger the emergent spacetime associated with matter is (like a planet), the more this emergent spacetime influences the curvature of the existing background spacetime around it, consistent with GR. The existing background spacetime is labeled as “extant spacetime”. We must stress that the emergent spacetime and extant spacetime can directly interact with each other, pushing on each other. However due to the great amount of extant spacetime all around matter it will push matter to move.

The emergent spacetime associated with the planet is denser or more pronounced because there is more matter contributing to it. The emergent spacetime of the planet reflects the mass and energy of the planet. In this model, the emergent spacetime isn’t separate from the planet but is a property of the planet’s matter, much like how a crowd’s behavior emerges from individual people but isn’t separate from the crowd itself.

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But before the planet forms, there’s already a background of extant spacetime, which could be thought of as the previous emergent spacetime from all the other particles and matter that emerged since the big bang. In regions far from matter, this background extant spacetime might be nearly flat (like in empty space), but it still originated as an emergent structure from the universe’s particles and atoms. This extant spacetime is dynamic and flexible, capable of being influenced by new sources of emergent spacetime, like a planet.

9. Emergent Spacetime interaction with Extent Spacetime
In regions with more matter (like a planet), the emergent spacetime is denser and more structured, while in a space devoid of any type of energy (i.e. mass), its intrinsic curvature is zero which will consequently yield a flat spacetime. But once the emergent spacetime has emerged from the planet, its dynamics are governed by its internal force.

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Emergent spacetime originates from, and is being continuously pushed out by, the mechanism of PWs folding. The total work done by the folding force over a closed path (folding and unfolding the PW, for example) is always equal to zero. Therefore, the force responsible for the folding mechanism is conservative, and consequently we can define a potential energy related to that force. So when spacetime emerges from matter, it possesses some energy stored in the form of potential energy due to the force applied during the folding mechanism. Then when emergent spacetime interacts with extant spacetime, both exert force onto each other. Imagine as an analogy, a tussle of two supercritical fluids interacting with each other, exerting force on each, to distort each other into curves and swirls. 

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That is, spacetime itself, viewed as a soliton, stores potential energy and also has linear momentum. Both are sustained indefinitely regardless of its interaction. [Note: As a comparison example, physical soliton waves can sustain their velocity and shape even through interactions with other solitons or obstacles. A soliton is a self-reinforcing, stable wave packet that maintains its form while propagating at a constant speed. This behavior stems from a balance between nonlinear and dispersive effects in the medium they travel through. Even when two solitons collide, what happens depends on the specific system. In many cases solitons pass through each other without losing their original shape or speed after the interaction. This "particle-like" property is a hallmark of solitons and distinguishes them from typical waves, which might interfere destructively or constructively and dissipate energy. This is why soliton pulses carry data over long distances without degrading.]

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 Therefore, the force of spacetime only interacts with spacetime and not by direct interaction with other matter. While massive particles are “indirectly” interacting with spacetime they seem by all GR observations and measurements to be “directly” interacting with particles. This is because large matter, like planets, are being guided/moved by extant spacetime pushing on the emergent spacetime exiting from planets. It is this effect that we perceive as a planet following through its time-like geodesic. 

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   The “time” aspect of spacetime is what is emerging through the particles that comprise an atom and then out-off the atom. The “space” aspect of spacetime is the liminal structure that then exists outside the atom. Imagine that “time” is the emergent lattice being formed in the folded PW, and the “space” is when that lattice starts “jamming” to form into a soliton outside the atom (more on this below). But the interaction between matter and spacetime is always due to the matter continuously emitting emergent spacetime, which is in turn, continuously interacting with extant spacetime around it. Through this mechanism matter is giving the appearance of interacting directly with spacetime, when it is not. The subtle distinction with massless photons is that they are not being guided/moved, they are tracing a null geodesic, a trajectory where spacetime’s curvature dictates its trajectory without any resistance.

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So a planet’s emergent spacetime doesn’t exist in isolation; it interacts with the extant spacetime surrounding it. In this mechanism, the extant spacetime is essentially acting like a “medium of resistance” to the emergent spacetime. Think of this interaction as two overlapping networks of relationships (like two social networks merging). The planet’s emergent spacetime "adds" to the extant spacetime, strengthening and modifying the local structure of spacetime.

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 This merging isn’t a “physical” collision but a coherent blending of soliton lattices. The combined effect is a single, unified spacetime that reflects the presence of the planet.

 

10. The Dynamics of the Extant and Emergent Spacetime
In GR, energy curves spacetime, and objects move along the paths defined by this curvature, as we have previously stated, their geodesics. In the UFT, the planet’s emergent spacetime contributes to this curvature by increasing the “magnitude" of spacetime interactions in its vicinity.

The more massive the planet is, the more matter it contains in it, and thus the stronger its emergent spacetime. This stronger emergent spacetime causes a greater deformation of the extant spacetime, resulting in a deeper curvature—exactly as GR predicts.

For example, near the planet, the spacetime curvature is steep, causing objects to "fall" toward it (gravity). Farther away, the planet’s influence weakens, and the spacetime approaches the flatter background state. 
The interaction between the planet’s emergent spacetime and the background extant spacetime surrounding it isn’t static; it’s a dynamic equilibrium. As the planet moves, forms, or changes (e.g., gaining or losing mass), its emergent spacetime adjusts, and this adjustment propagates through the extant spacetime, updating the curvature. This propagation happens at the speed of light, consistent with how gravitational influences travel in GR (e.g., gravitational waves).

In the UFT, the emergent spacetime from the planet effectively acts as the source of spacetime curvature, mirroring how mass and energy are the sources of curvature in GR. The interaction between the planet’s emergent spacetime and the extant spacetime is thus a way of describing the same phenomenon: gravity as the curvature of spacetime. The key difference is that in the UFT, spacetime itself is emergent, not fundamental, but the observable outcome (curvature and gravity) aligns with Einstein’s theory.

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The emergent spacetime (soliton lattice) from a planet compresses against the extant spacetime (pre-existing soliton lattice), and this compression is the mechanism by which the extant spacetime is forced to alter its shape (i.e., to curve). The compression is driven by a force within the spacetime, which again only directly interacts with itself.

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The compressed region of spacetime around the planet forms a "spacetime membrane" - a distinct boundary or layer where the planet’s emergent spacetime interacts intensely with the extant spacetime, creating a transition zone.
 

11. Compression as a Mechanism for Curvature
In GR, spacetime curvature is a geometric property caused by mass and energy, described by the Einstein field equations. In the UFT, the compression of the planet’s emergent spacetime against the extant spacetime is the physical process that produces this curvature. The compression can be visualized as matter (the planet) deforming spacetime.

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Since a planet is a massive body, the “magnitude” of its own emergent spacetime will push against the extant spacetime, causing the spacetime around the planet to compress and deform. This deformation corresponds to the spacetime curvature of GR. The planet’s emergent spacetime having more “magnitude” due to the planet’s mass, "pushes" against the extant spacetime, causing it to compress and deform.

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For instance, since there are more atoms in a planet than there are in a bowling ball, consequently there is more spacetime emerging from the former than the later. Therefore, it can be said that there is a greater “magnitude” of spacetime emerging from a planet than a bowling ball. The force of emergent spacetime interacting with extant spacetime determines how this compression propagates and stabilizes.

 

12. The Spacetime Membrane as a Transition Zone
In the UFT, the spacetime membrane is the region where the planet’s emergent spacetime compresses most intensely, with the steepest curvature, against the extant spacetime, creating a distinct boundary or layer. This membrane marks the transition from the strongly deformed spacetime near the planet to the flatter spacetime farther away.

In GR, there’s no literal "membrane" or boundary in spacetime around a planet, but the spacetime curvature is strongest near the planet and weakens with distance. This membrane can be interpreted as a conceptual way to describe this gradient, emphasizing the dynamic interaction between the planet’s emergent spacetime and the extant spacetime. For example, the membrane might be where the spacetime’s "density" or "tension" is highest, producing a steep gradient in the spacetime structure that corresponds to strong gravitational attraction.

Because the soliton lattice is smooth, the membrane isn’t a sharp, discrete boundary but a smooth transition zone. This ensures that the membrane behaves like a continuous feature of spacetime, consistent with the smooth curvature of GR. The membrane’s smoothness means it can be described by the same mathematical tools as GR, such as the metric tensor, with the compression within the membrane corresponding to changes in the metric that produce curvature.

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The compression implies a type of “force” within spacetime and the membrane is a distinct region of intense interaction. In GR, there’ s no such force or membrane, the curvature is a geometric property and not a mechanical process. So, to unite quantum mechanics and GR, the compression and membrane need to go beyond being viewed as a mathematical description for how mass-energy curves spacetime, and instead be viewed as being liminal (between virtual and physical) while functioning within a mechanical process. But because the soliton lattice is smooth, the compression and membrane can be described mathematically in a way that matches the smooth curvature of GR, ensuring consistency.