Pilot wave theory envisions matter as consisting in particles whose paths of motion are guided by supradimensional waves. Collapse models describe particles as resulting from mechanisms of condensation within a global wave. Can we combine the idea of supradimensional waves with that of particularization as a concentrated wave to derive an image of reality adequately represented by the square of the wave function?
Imagine a topographical map with waves flowing as peaks and valleys. Think of this as the architecture of our spacetime universe, the mutating square of the wave function. As waves travel around and contours morph, masses and velocities change in complex patterns, with mass and velocity represented according to some standardization as horizontal and vertical position respectively.
Then imagine that the change in velocity is not linearly proportional to the change in vertical position, but some kind of exponential proportionality, so waves flowing in the valleys move many orders of magnitude faster than waves at the peaks. The peaks at some scales are like grains of sand, three dimensional particles, with some peaks changing at such a slow rate that they are like dry sand on the beach, and slightly lower peaks like sand being tossed by ocean waves. This is the portion of the image that corresponds to objects on the scale of the human body.
Then imagine waves deep in the valleys traveling at such a rapid rate, though this rate is fluctuating with contour (hence acceleration), that they interact thousands upon thousands of times before waves at the peaks have moved enough to even discern a causal relationship at that scale. This is entanglement, where the cause and effect from past to future in the quantum field valleys is so rapid that it transcends past to future in the particle peaks, amounting to synchronicity.
Then imagine that wavicles at the peaks can generate the effects in the valley by the way they move: this is what consciousness in organic matter does.
Then imagine that the spectrum of accelerating and decelerating velocity and wavelength is so vast that some of it operates upon the whole galaxy, while some of it operates only at the nanoscale. This is approximation to the infinitude of the wave, an almost fractal totality ranging from gravity waves to subatomic wavicles and perhaps much more.
Then imagine that when waves and wavicles are close enough according to the criteria of mass (horizontal position) and velocity (vertical position), they can spontaneously blend like visible colors, tonal harmonics, or the shapes of electron arrangements in molecules. This is superposition amongst entanglement, and it is responsible for chemistry, qualia, more rarely emergent qualitative experiencing, and rarer still a complex intentionality such as humans possess. But phenomenal experience and even intelligence can be produced in a plethora of ways besides brains, for the range of possible superpositions is gigantic.
Then imagine that a mechanistic model of this kind can enable us to make wavicles at the peaks move closer to the velocity of valleys at various scales than they would naturally, which might enable near instantaneous motion of signals and perhaps objects through space via technology.
All mass basically consists in superposed wavelengths, for that is what gives its characteristic structure. As waves flow through and within a region of mass, the values of superposition change, amounting to rate and pattern of motion. A given region of superposition (wave interference) values corresponds to mass and can be given as a two dimensional quantity or horizontal position, so an atom for instance would be like a small circular pattern on the horizontal plane, representing the superposed waves oscillating and flowing in orbitals, and a light wave like a linear flow that can diffract around and travel through these relatively small or large superpositions of mass or merge with them to change their values. Different combinations of waves have differing superposition effects, a phenomenon with parameters that would have to be derived from experiment.
Vertical position on the graph gives the relative velocity of mass rather than the value of hybrid superpositions between waves that compose the mass, and lesser velocity corresponds to higher vertical position, so that particles such as atoms are like small peaks with tiny valleys between them, a means of representing their wavicle nature, essentially amounting to the square of the wave function. As they move independently or in unison, and in response to perturbing wavelengths such as electromagnetic radiation, mass in the horizontal plane bobs up and down.
The greater the speed at which superposed wavelengths move, the more the wave function drops in value, so the entire system is constantly flowing, swirling, bobbing in three dimensions like a body of water, with rate of motion corresponding to vertical depth, and relative plateaus in the horizontal plane corresponding to equilibrated matter (objects) at various scales.
What the graph does not represent is static shape, which is interpreted as an epiphenomenon of sense-perception rather than an intrinsic property of substance. So the graph portrays wave motion as fundamental to matter, and superpositions amongst waves as equivalent to mass, while vertical change fractally represents the motion within and between objects, from subatomic wavicles to gravity waves at the galactic scale. It models how entanglement transcends Newtonian space and time, for wave motions in the valleys may be deep enough to rapidly flow back and forth while peaks such as particles and objects as traditionally construed are standing comparatively still or moving in different overall orientations, as a variant apparent causality.
This is a topography of fluctuating rates of change in spacetime, an “acceleration density” consisting in amorphous contours of wave motion.
The picture I’m presenting can be clarified by breaking it down into discrete variables (you won’t have to analyze these equations to the last detail to get my point). Energy is correlated with mass and motion (E=mc^squared). Energy has a frequency (E=f) and also a rate of change or velocity correlated with wavelength (E=v/w). Velocity has mass correlated with wavelength and the velocity of light (v=mc^squared/w), and mass is conversely correlated with wavelength and velocity (m=vw/c^squared). Wavelength is correlated with velocity, mass and energy (w=v/E, w=v/mc^squared). The scientific question then is the way these variables interrelate, what is directly, inversely, linearly or exponentially proportional to what and how, as well as the way units align or integrate.
This pilot wave/collapse model graph is essentially an image of relativity in the square of the wave function. Each point in the two dimensional plane has an energy associated with it, correlated with its mass, frequency, wavelength and velocity. Each point in the vertical plane corresponds to the velocity in space of that quantity relative to the energy at its horizontal position.
There is as of yet no intrinsically fundamental unit, so it is anticipated that the whole structure approximately resembles a fractal, as does the universe. The further away the wave function is from peaks at a given scale or frame of reference, the lower its position in the vertical plane tends to be and the higher its velocity, just as energy traveling between mass is moving at a faster rate than that contained in for instance chemical bonds. When mass combines as in a chemical bond, the peaks merge in some measure to create a synthetic relative peak with distinctive energy (relative internal motion) and velocity (relative external motion).
The peaks, though relatively stable, oscillate or flow in various ways that are representative of their internal frequencies and wavelengths, as fluctuating contours of energy within hybridized or “superposed” quantum fields, which can be as small as the subatomic scale or as large as the known universe, and expand as rapidly as light or as negligibly as an atom. So superposition is a special case of entanglement that can occur between relatively similar waves or wavicles, and the laws of superposition (equilibrated wave interference) at different scales would have to be determined in association with experimental data, assuming there are in fact fundamental disjunctions.
For example, within the Earthlike frame of reference, a quantum field wave such as electromagnetic radiation propagates much more expansively than a macromolecule wavicle, and this radiating phenomenon is represented as flowing through the graph at lower elevation, changing the structure or diffracting around many peaks to relatively large or small degrees, as if they are like partial barriers, though the system altogether responds to perturbation in an equal and opposite way, as per conservation of energy and momentum (this is at least to be expected within the frames of reference we have thus far observed in nature).
The lower the elevation, the faster the quantum field is moving relative to a given energy position. This graph can be calibrated to represent the way lower elevations, which are like cross sections of speed, move many orders of magnitude faster than peaks, approximating the way a real wave flows or tunnels supradimensionally. This means that electromagnetic radiation could be like a particle compared to kinds of waves we might discover. Relative motion on some velocity (vertical) scales, which amounts to the apparent causality amongst energy waves and peaks, would look completely different than relative speed on alternate scales, like light ricocheting around relatively stationary objects.
My hypothesis is that synchronicity is created by quantum fields that move faster than the speed of light when either perturbed or generated in association with some kinds of wave ensembles. The wave peaks are all producing various kinds of fields as a product of their internal fluxing, and when these fields propagate at extremely rapid speeds compared to the rate of motion amongst ensembles of peaks, peaks can affect surrounding peaks by a flow, independent of direct contact such as we model with classical physics, and independent of blending as takes place with the superposition phenomena of chemical bonding for instance.
The whole structure is in perpetual flowing motion, with waves diffracting, interfering (as diverse kinds of relatively brief or prolonged superpositions with internally oscillating energies), and separating at various rates, the whole structure entangled in a way that transcends apparent causality of space and time on the scale of human bodies. Relative to the universe, our galaxy is a tiny wave peak. Earth is a tiny wave peak relative to the galaxy. A macromolecule is a tiny wave peak relative to the Earth. And a proton is a small wave peak relative to a macromolecule.
It would have to be figured out how to model the peaks, and the natural laws or parameters of the graph at various speeds and scales need to be determined. We already know a lot of this from physics and chemistry. Deficiencies in the graph’s ability to describe phenomena might point to causal effects we have not observed and modeled yet, like a puzzle with missing pieces.
Acceleration amongst waves and wavicles of energy is flow and change in the contours and peaks of this wave function, giving the entire structure an amorphous, constantly fluctuating rate density, hence acceleration density.