Presently, quantum fields are considered to be structures added onto the background spacetime manifold. But it is possible to derive the quantum fields directly from spacetime. This can be done in an easy and logical way.

All the points in space coexist in logical conjunction with each other. And a conjunction of points implies that there is a logical implication between them. So there is a logical implication from any point in space to every other point in space. And this allows a path from one point to the next to the next, etc, to be constructed in terms of these implications from point to point. These implications can be assigned a numeric value by using the Dirac measure. This introduces numbers into logic. The conjunction of implications form a type of path integral in terms of logical operators. And when converted to numbers using the Dirac measure, this logical path integral becomes the Feynman path integral of quantum mechanics. The process can be iterated to give quantum field theory. And the various iterations can be identified with the various particles of nature.

You can view the details at: logictophysics.com

Can gravity be explained by wave functions? Here's an idea. For a particle with any trajectory, the Feynman path integral states that every possible path through space contributes to the final wave function for the particle. But the contribution of all those far off, far-flung paths effectively cancel each other out. It seem only the nearby paths contribute much to the final wave function.

Does this in some way prescribe that nearer paths ( or closer space) is somehow more effective for other nearby particles as well? If so, this would make space nearer to a particle easier to propagate through, so that other particles would "gravitate" towards this space because it is easier to travel through. And this sound like gravity. Any thoughts on this?

Is it possible for zero dimensional quantum field theory to extend into higher dimensions? I understand that zero dimensional QFT is just a toy model to develop techniques. But I wonder if somehow there can be a transfer of action into higher dimensions. If there are no space dimension in 0 dim QFT, then there is only time. Can that time dimension translate into space dimensions?

Is it possible to make physics a part of mathematics? Is it possible to derive the laws of nature from the math necessary to describe logic?

Here I attempt to derive physics from logic alone and the math needed to describe that logic. Prior to this, it was just a dream of idealists. But I've been able to develop the math to describe that logic. And it is all too easy. It is accomplished by using the Dirac measure, which gives the numeric value of 1 if an element of interest is included in a particular set, and 0 otherwise. And a subset included in a set is exactly how the material implication of logic is represented. For if the set is said to exist, then that logically implies that any subset of it also exists. But if a set exists, this does not necessarily imply that any of its supersets exist. So material implication is described using the Dirac measure since it is described using sets and subsets, an element being a subset.

How does the derivation work? Every point in space can be treated like a proposition, because it is either true or false that it is included in the spacetime manifold. So all of space consists of a conjunction of all the points included in that space. Then it's a key thing to understand that a conjunction logically implies a material implication. Given any two propositions, p and q, it is true that (p^q)-->(p->q), where -> is the symbol of material implication. The next thing to understand is that an implication between any two arbitrary points can be equated to the logical disjunction (OR) of every possible alternative path throughout that space from start to finish. A path is a conjunction of implications from one arbitrary point to another. For example, a path could be,
(p->a)^(a->b)^(b->c)^(c->d)^(d-->q).
I call this a path since if you are at one point, then this will lead you to the next, and if you are at that point, then the next point will be here, like steps in a path.

Then the Dirac measure is used to represent these implications. This introduces number value into the logic. It also introduces probability theory into it. For the set of the Dirac measure acts like a bin in a sorting operation. And the element of the Dirac measure acts like a sample that belong in that bin or belongs in some other bin. And when you count the number of samples in the various bin, you get a probability distribution. And it turns out that false is represented by the numeric value of 0, and true is represented by 1. I also show in detail how conjunction (^) is represented by multiplication and disjunction (V) is represented by addition.

The Dirac measure is first reduced to the Kronecker delta function and then to a Dirac delta function. When the complex gaussian representation of the Dirac delta function is used, each path become a multiplication of various exponential function. And when the exponents are added up, they form an action integral. And when the disjunction of all of the paths are added up, they form the infinite number of integrals of the Feynman path integral. Thus it seems quantum theory can be derived from logic.

I go through all this in great detail on the website. And I'd appreciate any constructive comments.

Actually, I'm starting to believe that a Theory of Everything is just around the corner. It would have to explain where spacetime, quantum theory, mass, energy, and particles come from. I have a start at:

logictophysics.com/virtual.html

On this page I explain that Quantum Theory is derived from the fact that space consists of a conjunction of points, and this conjunction ensures us that every point implies every other point. These implication can be mathematically represented by the wave functions of virtual particles. So spacetime is made of virtual particles pairs. The expansion of spacetime can cause these virtual pairs to become disconnected with each other and become real. A real particle propagates by cancelling with the antiparticle of a virtual pair that popped up near by. This leaves the virtual partner real. This it in turn can cancel with some other virtual antiparticle that pops up nearby, leaving its virtual partner real, and so on. The rate that this virtual particle trading happens is a measure of its energy. And even if a particle is not moving with any momentum, it still engages with the virtual pairs nearby. But since the next virtual pair it interacts with is traveling in a random direction, the average motion is zero. All this virtual particle trading does for a motionless particle is give the particle the property of mass.

More is explained in the article. I hope this helps.

Many are confused and frustrated by the quantum theory of physics. It seems to be just a set of reverse engineering equations used to make predictions. But why we use those equations and not some other is still a mystery.

However, I've developed a derivation of quantum theory from nothing more than logic itself, from first principles of reason. Using grade-school logic I've been able to derive a propositional logic version of Feyman's path integral. And using high-school math I've been able to assign a numeric value to the logic and derive the mathematical form of the path integral. Iterating the process gives quantum field theory. And other considerations give the definition of energy such that mass can be seen as a form of energy. However, I'm afraid to submit it yet for peer review for fear of mistakes. So if you're mathematically inclined and wish to review it, let me know if you have questions. Thanks.

The details are shown at: logictophysics.com

Can gravity be explained by quantum mechanics? Here's an idea. For a particle with any trajectory, the Feynman path integral states that every possible path through space contributes to the final wave function for the particle. But the contribution of all those far off, far-flung paths effectively cancel each other out. It seem only the nearby paths contribute much to the final wave function.

Does this in some way prescribe that nearer paths ( or closer space) is somehow more effective for other nearby particles as well? If so, this would make space nearer to a particle easier to propagate through, so that other particles would "gravitate" towards this space because it is easier to travel through. And this sound like gravity. Any thoughts on this?

Are quantum fields a property of spacetime itself? It seems physicists simply conjure up separate quantum fields to explain each of the particles like electrons and quarks and photons, etc. But this does not explain where these quantum fields come from to begin with.

But it seems these fields might be a property of spacetime itself. How? Through a minimal use of logic, quantum theory can be derived and these fields explained. The spacetime manifold consists of an infinite number of points that collectively make up the manifold. These points exist in logical conjunction with each other. And a conjunction implies that each of these points implies the others. The Dirac measure can be used to mathematically represent an implication. This allows math to represent the logic. And so the path integral of quantum mechanics can be derived from logic applied to an infinite conjunction. See details at: logictophysics.com

This is an honest effort using obvious tools. So no way is it a foolish effort.

Can space, time, matter, energy, and quantum theory all be connected in some way? I've been slowly developing a way to connect all these things. And now I think I've derived quantum theory from logic alone, and it also specifies a manifold. So it seems the quantum fields that give us the Standard Model are a natural result of the points of spacetime all being in logical conjunction with each other. Conjunction gives rise to implication, and with the help of the Dirac measure, an implication is mapped to a transition amplitude of a particle. So it seems all the points of a manifold are made up of virtual particle pairs. And mass, energy, potential, and perhaps everything else can be described with these virtual particles. See details at: logictophysics.com

What is the relationship between spacetime, mass, and energy? I have a new theory that explains the relationship between all this. And perhaps you can add some insight.

This is accomplished by realizing that the points of a spacetime manifold exist in conjunction. The conjunction means that each point implies another. The Dirac measure can be used to mathematically represent implication. It turns out that the implication between two points maps to a transition amplitude of virtual particles. Since there is an implication from either one to the other, the reverse implication also exists and represents the antiparticle of the first implication. And the amplitude of the reverse implication is the complex conjugate of the first amplitude. Since the first and reverse implications always exist together, they are in superposition, and they can be seen to cancel each other out so they are not directly observable.

Each reference frame, therefore, is a conjunction of points that gives rise to a corresponding set of virtual particles pairs. Any particle properties or motions through the reference frame must be described in terms of the virtual particles of that frame. The motion of a real particle is produced by cancelling with one of the virtual particles of a pair that leave the other virtual partner real, which in turn will cancel with yet another virtual particle, leaving its partner real, etc. In this way a particle propagates through the coordinates of a reference frame. The rate at which this virtual particle trading occurs determines the kinetic energy of a particle. And since different reference frames will see different rates of virtual particle trading in any one direction, the kinetic energy will be different for different reference frames.

Particle mass can exist even in the rest frame because there are still virtual particle pairs popping into and out of existence near a bare particle at rest. So virtual particle trading will still occur in the rest frame. And since the direction of the nearest virtual particle trade is random, then the particle on average will not move but will still have a rate of virtual particle trading corresponding to the energy of its mass.

The details are shown in the link.