The universe as a wave
All the entities of existence participate in this universe by interacting in a way that makes them both particles and waves. These opposing views are both correct, but incomplete. Anything may be described either by its wave-like attributes or its particle-like attributes.
All things can be seen as waves. All waves have fundamental similarities. All things can be seen as particles. All particles also have fundamental similarities. All things share unifying wave-like and particle-like properties and are thus comparable to all other things, no matter the case. Models of the nature of individual things are partial models of the collective nature of all things, and are all comparable to each other.
Big
bang
This universe began with a big bang, the commencement of a process of being. The scientific term for the big bang is a local density fluctuation, a technical name for a unit wave pulse. Everything imaginable or unimaginable can be described by a single unit quantum wave pulse, a resonant group of wave pulses, or a harmonic fraction of a wave pulse. One is the same as another. The outcome of wave and particle interactions depends upon the scale of one interactor relative to another.
The medium is the message. To understand the wave is to understand the surface that the wave travels on, for, as this chapter will show, wave and surface are the same.
A quantum pulse is a wave, and a quantum pulse is also a particle. Everything in existence is both a wave and a particle on all its levels and scales of being. Each thing expresses the wave/particle duality. The wave/particle duality also holds up on the macroscopic scale. Lifeforms exist in quanta, and have both wave properties and particle properties. Although everything is actually both a wave and a particle, things are always observed as either one or the other. The type of observation determines the type of characteristics observed. If one looks for the particle, one finds a particle. If one looks for the wave, one finds a wave. There are two observably different perspectives on the nature of a thing. Anything, any entity, can be seen as a particle or a wave, but to ignore either aspect of anything is to give an incomplete description. All locally consistent descriptions of reality are incomplete descriptions of the whole of a reality that changes with perspective.
Consider the properties of an entity as a wave. As a wave passes any point, some density change (like pressure density) will occur. The density, or pressure, of a medium will fluctuate commonly in the fashion of a sine wave.
The points on the surface that carries the wave go through a change during the transmission of the wave. The surface moves through the wave just as much as the wave moves through the surface. Motion along with the wave is motion across the surface. The wave’s general motion is linear. The propagation of energy within the wave is circular (or lateral).
Any bang can and does create a local density fluctuation wave front, a place of constant change. This wave is seen in any ripple on the water caused by the ‘bang’ of a tossed in rock. The straight nature of a wave travels straight out the radials away from the source point of the wave. The circular nature of the wave processes the wave laterally across the direction of motion.
Everything appears as a particle or a wavepulse. Every ripple on the water, the entire universe, and everything physical and non-physical in between can be seen as either a wave or a particle. A wave continues to exist by its effective propagation, and a particle continues to exist by its inertial persistence. Every wavefront is a quantized local density fluctuation for all other wavefront fluctuations to interfere and interact with. Each wavefront can have other smaller wavefronts on it. A lesser wavefront can be part of a greater wavefront where it can interact interdependently with other lesser wavefronts. Groups of smaller particles can interact together to make larger individual particles. The universe, a ripple on a pond, and every entity in between are all abstractly the same in their structures and processes.
As an expanding wavefront, the pond ripple is just as much a universe as the expanding big bang universe in which we exist. The difference between the wavefront circular ripple of everyday experience and the Big Bang wave front of being is that the external expanding everyday water ripple is outside of us and apart from us, while the Big Bang wavefront is inside of us and a part of us. To exist in the pond surface universe, an entity must travel along with that ripple. For us to continue to be, we must continue to propagate along within the universal wavefront, at rest in the local here and now.
In mathematics a function is plotted as change, graphed by holding one variable still and observing the changes in another variable. Changing the variable that is held still changes the image to that of the other plotted changing variable’s perspective.
This is like the difference between keeping still with the water, or keeping still with a wave that travels across the water by surfing so as to keep still on the face of the wave. These are two different views of stillness. We exist by moving along with and keeping still with the dynamic yet unchanging Big Bang wavefront of being.
As two waves cross each other, an entity can propagate across both of the waves simultaneously by going at a diagonal to both.
Such an entity’s progress could be influenced alternately by the two waves that it follows.
What is a perpendicular frame of reference from one perspective can be a parallel frame of reference from another perspective. As example, consider the opposing edges of a rotated tetrahedron.
What is along a direction of motion from one perspective is across that same direction of motion from another perspective. There is stillness relative the body of water, and stillness relative to a wave upon the surface. These are just differing perspectives of the same thing. Each perspective is a particular local view of reality, like space and time each being a local perspective of the greater field of space-time.
Although we perceive space and time as separate, existence actually occurs in space and time together. Existence processes through both space and time simultaneously. We objectively experience one axis of time and three axes of space. Subjectively, we experience three axes of time (past, present, and future) and one axis of space. Every action or event of existence occurs at a particular time and place. Space-time is a continuum of potential being, expressing the unification of two opposing perspectives of potential change; change in time and change in space.
Within the space-time continuum exist mass and energy, which are known to be different forms of the same thing. Mass and energy are the complementaries of a dichotomy, either one or the other.
Our universe is that of a dichotomy within a continuum. The universe is composed of various combinations of one or the other expressed in both and neither as a diagonal simultaneously of both, until squared to one dimension by observation and measurement. Differing quantities of space-time can be seen as differing quantities of space and time. Differing ratios of space to time yield various masses and energies at differing angles of slope. Whole number ratios are all real numbers, and all such rational slopes can cross any intersection point in the continuum.
A line that intersects a ninety-degree intersection grid-point can be reflected directly back in the direction from which it came. When the slope for a whole number ratio is projected on a Cartesian grid, then the rays implied by such slopes, reflected within the first square, will always eventually be reflected back to the origin. Any rational slope through a point is both a projection to that point and a reflection from that point. Reflection and projection are the actions of a wave interacting with a surface in the rational continuum.
An
opposite reality
To stretch the mind, consider the following. It is commonly agreed that the universe is expanding. That is a valid perspective, but there is another. Rarely entertained is the notion that instead of space-time expanding, mass and energy are contracting. Consider a finite circle. From outside of the circle, space expands out towards infinity, and the finite circle quickly becomes point-like in comparison. From inside the finite circle, space may be subdivided ever more finely as it approaches the center of the circle that now becomes, by comparison, infinitely far from the edge of the circle. The finite circle itself can be seen as infinitely small or large relative to external expansion or internal contraction. Although expansion of space-time seems more reasonable than contraction of mass/energy, the dynamic relationships inherent in these two perspectives of change are equivalent. Local measurement and mathematics can hold mass and energy still to measure space and time, or hold space-time as fixed to measure mass and energy. Both views are valid in expressing a single process of change. Contrary perspectives can model complementary images of the same reality.
Divisions
All of existence was originally a single thing. That one thing became divided. The differentiation of the parts is either along or across the extension of dimension implied by the division. This image can be seen in the lines of force within a magnet. Iron filings are attracted to both poles of the magnet, and will align themselves to reach along the lines of force. Objects that do not conduct electricity and are repelled by both poles of a magnet will align themselves across the same magnetic lines of force. These are two contrary perspectives of one division.
The kind of divisions of the whole depends upon the number of divisions of the whole. Quality is related to quantity. Every entity is in itself a whole with divisions. Every division is in itself a whole. Two-dimensional divisions have two-dimensional interactions, like along and across. Three-dimensional divisions have three dimensional interactions, etc. (A dimension is an axis of potential or actual extension)
Every member of any divided set (both of two or all three of three) each can itself be divided by any number, again showing the kind of division based upon the number of parts in the division. This is a fractal relationship between the entities of existence.
Even though objective separations between all things now appear to exist, a subjective connection exists between all things as well. Although all things are separate, all things are also connected in this abstract relationship between quantity and quality.
Quantum reality is expressed mathematically in both matrix mechanics and wave mechanics. Matrix mechanics is a system of mathematical expression similar to that of equations except that changing the sequence of operations can yield differing results. In matrix mechanics, AB does not equal BA. The direction of the process has meaning in the outcome of the process. A time space slope of two to one is different from a space-time slope of one to two. Wave mechanics is another mathematical system expressing orderly process, and a great triumph of quantum mechanics was to prove that these two different systems expressed the same relationships. The matrix of structural being in a particle is equivalent to the wave of process being in an energy pulse. The structures and flows of being in the divisions of all things are different ways of seeing the same thing. Waves and particles are the same as each other.
Local density
fluctuations
A local density fluctuation is a common sight. It is a ripple in a pond where a stone is tossed in. It is also the spherical shock wave from a bomb blast. The waves themselves occur on the surface of a higher dimensional field of expression and are of a lower dimension than the field that carries them. As example, the pond ripple is an expanding circular one-dimensional line on a two-dimensional surface, and the expanding bomb blast is a spherical two-dimensional surface moving through the three-dimensional surface (field) of the air. This is a simplified description of the objective process. Such a wave pulse object has both a linear and a circular direction of motion. One-dimensional flows, like time, can be expressed as continuous change in slope (like the radius of trigonometry), or in linear demarcation (like the X or Y dimension). These two directions of motion correspond to the two kinds of inertia, linear and rotational (or angular).
In describing this expanding wave pulse, the linear motion is projected straight outward through the field and away from the relatively motionless source. The circular dimension curves back around onto itself, supporting the perpendicular dynamics of wave precession.
As example, the water ripple, moving straight out from the origin, sends that surface stretching up away from its stable energy position between water and air (increasing the density of the fluid below), then dips down below the stable level of the surface (decreasing in the density of the fluid below). The density fluctuates across every wave point on that surface. The wave moves out along the surface in one direction expressing linear momentum, and around across the surface in two directions back and forth (up and down), expressing angular momentum.
This wave, propagating in a straight line past a point, moves none of the fluid along with the wave, but moves all of the supporting fluid below the wave (and supported fluid above) through a full circle during the passage of the wave.
The linear motion of the wave is straight. The lateral motion of the wave is circular. Any mini wave upon that expanding pond wave must also have straight and circular properties. Since we (all things) exist on the wavefront of the universal here and now, we all possess linear and circular aspects on all levels of being.
A function that plots circular motion against straight-line motion is the sine curve. Trigonometry has no scale. The nature of waves’ interactions is not determined by size, but by one wave’s size and resonant complexity relative to another wave. No matter the size of the wave, its complexity, or the number of dimensions in the wave, any wave is still similar to all other waves. All waves carry energy and follow similar structures of interaction and processes of exchange. All particles contain the properties of mass, inertia, and spin.
In this deeply abstract sense, all things have a fundamental similarity to all other things. No one model describes the whole of existence any more than one facet of a crystal describes the whole gem. Each model describes only a facet of existence indirectly and only tangentially the whole.
Just as similar facets may describe similar crystals, similar numbers of dimensions in various models may be abstractly paralleled for symbolically similar perspectives of the divided whole. All dualities can be compared as parallel to all other dualities, etc. Through this qualitative symbolism, a higher reality may be seen. This symbolism is most apparent in duality, but exists in all divisions of reality.
Particles
are waves
In the completely abstract subjective mutually connected way that all waves (things) are the alike, everything is the same as everything else. Each thing abstractly and indirectly reflects the unity in all things. Particles and waves seem to be opposites, yet we know them to be the same stuff. When energy is bundled up in the confines of a particle, it exchanges its linear momentum for a circular or angular momentum. Whether straight or curved, the dichotomous entities of mass and energy exist as either one or the other in the space-time continuum of both and neither.
Particles are equivalent to waves. The double slit experiments of physics reveal wavelike interference patterns even in objects normally thought of as particles like electrons and protons. Real particles can be observed really being waves.
Waves are also particles. Energy is ultimately the same as matter. From the perspective of the observer, a linear wave will propagate in a straight line, but a circular wave incurs an angular motion to replace the linear flow that the particle gives up. Even complementaries like figure and ground are really the same. Only the perspective changes. The perception can equally be of figure or ground.
From one perspective, particles interact through wave exchanges. From another perspective, waves interact through particle exchanges. The breeze waves in the flag just as the flag waves in the breeze. Particles and waves exist through exchanges with each other. Particles exchange waves, and waves exchange particles.
Waves
are surfaces
Normally, a surface and a wave would not be thought of as the same thing, yet they are. The surface that carries the wave is everywhere static and still, while the wave that moves upon a surface is moving and dynamic, first one place, then another, yet one can be seen to be the same as the other.
As example that a wave is a surface, imagine a craft that can surf along on ocean waves. It is possible to see the ocean wave act like a surface while the solid craft acts like a wave. The craft may interact with the wave in the same ways that a light wave can interact with the surface of a pane of glass. The craft might pass over the wave like a light wave passing through a pane of glass. The craft might be reflected back from the wave like a photon reflected off the pane of glass. The craft could even be absorbed into the wave and carried along with the wave like a light particle being absorbed by, and thereby warming the pane of glass. By existing in the pane of glass, (or moving along with the wave) the energy of the photon becomes a part of the energy of the pane of glass, (or the wave), changing the whole by that much while being a part of the whole.
The same actions could be paralleled with a ball rolling over a ridge. The ball could roll back to the starting side of the ridge, the ball could roll over and past the ridge, or the ball could just come to rest on top of the ridge. The rolling energy of a ball resting on top of the hill has been transformed into potential energy of a rolling ball absorbed by the now larger ridge.
The lateral, all at once surface is the same as the linear moving wave.
Particles
are surfaces
This is common and straightforward. Individual air particles gathered in large numbers conduct themselves as a single three-dimensional surface (a field) that carries sound waves. All particles carry waves and thus are surfaces. Every particle is a point-like part of a dimensional field that can carry a wave.
A surface is also a particle. A wave surface gives resistance to entry or passage through the surface. There is a tendency for an oncoming wave to reflect floating objects back away from its progress. The spherical bomb blast surface gives a powerful resistance as it passes each observer. Waves, surfaces, and particles are all just different ways of seeing the same thing.
Waves
on a wire
A single taught wire can hold any wave. A perfect wire could hold all wave objects. Objective models displayed in many dimensions may break out and show each separate dimension of complexity more clearly, but a single one-dimensional wire can hold all the information.
The number of dimensions used to model a point is meaningful in its ability to represent different kinds of changes separately along each dimensional axis, but the total process can be performed on a one-dimensional surface. The number of divisions of the whole shows the kind of divisions of the whole. The kind of description sought determines the number of dimensions perceived. Unity, duality, trinity, etc., each describes a different aspect of reality. The number of divisions speaks to the nature of the divisions and the resulting array of its members. This insight comes not by contrasting the differences between parts in a model, but by comparing abstract parallels between differing models of similar numeric aspects.
A
wave is a wave is a wave
There are many different kinds of waves. There are sound waves and sonar waves, shock waves and solitons, square waves and sine waves, water waves and waves of probability. There are electromagnetic waves and gravity waves, standing waves and waves of change. Each wave (which is also an object) has its own individual properties and is some way different from every other wave, even of its own kind. This valid perspective is counterbalanced by the equally valid perspective that all these different waves have a unifying similarity to each other. Waves (all things) are different from each other, and contrarily, waves are all similar to each other as well. The difference is one of perspective in the observer.
Properties
of waves
As just shown, an actively being entity can be seen to be the wave itself, a surface that carries a wave, or an object particle that interacts with a wave or another particle. Waves as particles acting as surfaces carry other waves and interact with other particles, all co-mutually. Each wave pulse may be a particle here or a surface there, and may be either one depending upon the perspective.
While the linear propagating motion in the expansion of a wave appears flat and straight, the concurrent lateral particle motion is circular. Energy not expressed along one dimension will be expressed along another dimension.
An object's size, rigidity, and transparency relative to the size, energy and wavelength of a passing wave determines whether the interaction will be one of transmission, reflection, refraction, absorption, emission, or whatever. One way or another, all objects interact with all others. The electromagnetic and gravitational forces in each atom interact with the electromagnetic and gravitational forces in all other atoms in its visible universe. Distant interactions are interminably weak (infrequent) but real. Interactions are exchanges of energy and information. Interactions include the collapse of potentiality into actuality and the directions of the collapse.
Electromagnetic exchange binds energy and information. All interactions have a two-directional component. In electronics, the flow of negative charges that move in one direction is much the same as a flow of positive charges that move in the other direction. Just a point going from A to B exchanges the point in one direction and not-the-point in the other direction. Information is an exchange of states from before to after in an observer/ observed event.
Energy and information exchanges within quarks create atoms. Exchanges within atoms create molecules. Exchange within molecular genes creates life. Each level is a lath in the lattice of potentiality. The actions of a wave on one level are abstractly parallel to the actions of a wave on any other level.
All waves contain a linear objective component and a lateral subjective component. These are the external physical component and the internal non-physical component. All waves contribute to the ultimate expression of the totality of being. A wave model can be divided any number of ways. Each sub-model resonates to the whole. Each specific division and parallel illustrates a particular perspective of the pattern of reality that is found uniformly in all things.
Objectivity sees the varying quantities related to distinct events, and subjectivity sees similar unifying qualities in all entities and events
Objectively, every event of being is different from every other event. Each event occurs in either a different time from all others, or a different place from all others, or both. If two things happen at the same place at the same time, then they are two parts of the same event. Although every event is objectively different from all others, a particular set of different events may collectively be part of a single greater event of being.
Subjectively, every event of being is similar to all others. The sheer fact that one event can be compared to another implies some perspective from which a common ground of similarity exists. The adage that conjures dissimilarity is one of apples and oranges, yet both are fruit.
Objectivity is found in the changing differences between things, Subjectivity is found among the unchanging similarities between things.
All events, things, structures, and processes are the same in the totally abstract. All patterns, from sub-nuclear interactions to structures of consciousness abstractly follow the same relationships of being.
Standing
waves
The process of existing or being reinforces the actions that allow for continued being, creating a positive feedback loop in existence. As the structural flows and forces of reality interplay, this feedback process supports the growth of structures and flows of interaction that themselves are self-reinforcing. This makes recurring self-reinforcing interactions more likely. The process of being proceeds along and across a continuum of self-reinforcing vibrational ratios within the differing structural dimensions of exchange.
Resonant structures that can successfully create more extensive structures will continue to propagate even higher levels of interaction. Existence is a cosmological survival of the fittest. To persist through space and time, resonant feedback structures and processes interact (interfere) with all other entity’s similarly resonant feedback structures. Patterns of inflow and outflow may harmonize or be in disharmony. They are both and neither until resonant reflection points are created by observational exchange. Memory is a similar resonant structure.
A self-reinforcing structure (made up of lesser self-reinforcing structures) is an object that interacts internally with the parts of its group-self and externally as a part of larger groups. Each part of an integrated structure supports the other parts of that structure. When a structure is self-supporting, it stands alone. A self-supporting wave entity stands alone. Every entity is a self-supporting standing wave.
The agents of consciousness follow the same natural self-reinforcing flows and structures of similarity and difference found in all of creation.
A standing wave is often thought of as being of a particular wavelength and of being reflected back and forth in a straight line between two reflectively surfaces. Actually, the reflectors (which can become transparent and projective) are part of the standing wave group that is the self-reinforcing resonant entity.
A standing wave is finite in size. (There are a finite number of wave iterations standing between the reflectors) A standing wave can be reflected and/or projected straight back and forth or reflected and/or projected around in a circle from the point of projection and reflection back again to that point. One-dimensional projective repetition gives the extension of a number line. Two-dimensional projective extensions create a Cartesian coordinate grid.
The standing wave’s opaque endpoints (that would hold a wave in one segment of a line or one square of a grid) can instead become transparent and allow the standing wave to traverse the number line or grid, either parallel to one axis or at a diagonal to more than one axis.
A standing wave can also be thought of as a circular wave, curving back on itself and being projected through a transparent surface at the same point on each cycle.
Resonance
All entities are standing waves that resonate against all other standing wave entities and continuously feed back actions creating the continuing exchanges of existence. As particles and waves each interact through the other, self and not-self both emit and absorb waves and particles. Resonant groups of standing waves can create a single higher standing wave. Syntropic forces can crystallize energy resonances into higher beings through all dimensions. Higher structures exist exactly as the lower structures that comprise it, but from a differing perspective.
There are differing perspectives of stillness and motion. A standing wave can appear to vibrate in one place, or to move along at the speed of the wave in either apparent direction of its motion. Reinforced standing waves occur only at whole number harmonic divisions of the wavespace. Whether the wavespace is reflected or projected is a matter of perspective.
A standing wave’s surface can be of a multitude of different single frequency standing waves upon it. At one extreme is a wave frequency so high that each wavelength becomes vanishingly small and the amplitude barely deviates from zero.
The wave appears to coincide with the unwaving surface that carries the wave.
An intermediate example of wavelength is a single wave filling the entire wavespace.
This one-to-one ratio of wave to wavespace is the simplest of harmonic of exchanges. As a single full circle representation of the wave process, this demonstrates single spin exchange physics. Other ratios of wave to wavespace depict half spin exchanges or two spin exchanges. Any segment of a whole-number ratio wave can exist on the same quantity of surface.
The other extreme of wave to wavespace is such a small fraction of a wave that no deviation from zero amplitude can be seen, and no harmonic gleaned.
An infinitely high frequency wave and infinitely low frequency wave both appear to coincide with the flat surface that carries the wave. Harmonic resonance occurs between the extremes of no change and nothing but change, which are the same as each other. These objective and subjective extremes exemplify the opposites to a single unity of both and neither both and neither.
Subjective Resonance
Consider the question 'what is important?' The answer will be subjective. The two extreme answers of 'everything is important' and 'nothing is important' are both valid, but they are the spiritual borders of perspective. Relevant resonances of important things are personal perspectives on the many levels of interaction. Food and shelter are one area of importance. Ethics and integrity are another level of importance. There are others. All of them resonate against each other.
Standing
wave resonance
Standing waves have regular beats. They can appear as reflecting back and forth on a flat surface, or as going round and round on a curved surface. Waves that resonate at harmonic divisions of the wavespace will be reinforced to continue resonating. Resonant energy exchanges occur at harmonic divisions between interacting waves. The effect is strongest at the simplest ratios. The effect is subtler in the more complex ratios between waves. The resonant exchanges within a conscious mind are subtle indeed.
Waves of energy move on a surface capable of transmitting that energy to other places. On a piano, if the low C is held down gently, making no sound, and the middle C is struck and released, sympathetic vibrations travel along the surfaces of the air and the piano holding and having the wave. The low C will gain some of that energy and make the piano’s low C sound the middle C note because of the simple 2:1 ratio between its natural rate of vibration and the source frequency. This resonant exchange would not occur if low D were held down while the middle C was struck. Standing waves occur in natural whole number (real) divisions of the whole.
A standing wave can accumulate great amounts of energy and information from the events in which it interacts. The original Tacoma Narrows Bridge was dubbed Galloping Gertie when it caught a continuing gentle crosswind of just the right speed and the whole suspension span acquired a twisting resonance along its length until it collapsed from structural distress. In simpler structures, objective energy is dominant over subjective information, but in structures of the human mind, subjective information and dominates the objective exchange…that is if we imperfectly see the unity as containing a duality to observe.
A standing wave is an entity. Energy exchange is by way of harmonic resonance between and within the I and the Not-I. Everything exists as wave. Each part or division of a thing exists as an entity on its own. The only requirement for the separate existence of an entity is the distinctions of the newly discerned entity by its observable parts and actions.
As above, so below.
A more complex system will support a more complex mix of interactions. Life is more complex than non-life. More complex life has more complex interactions than simple life. In man, emitted energy bundles (like words and phrases) have objective and subjective components, as do all energy and information packets of communication. At the level of conscious beings’ interactions, the subjective effect of the words (the meaning) can be much greater than the objective effect (the sound waves).
A standing wave will feed back to itself the outcome of its own processes. Any wave feedback that terminates the wave process will not be carried forward. Waves that persist will carry a patterned tendency to persist. The characteristic of a wave to persist is the tendency to continue to create new change. These persisting waveforms are the entities of existence.
Interacting
waveforms are all that there is.
Clumpings of wave groups are as varied as from galaxies to gnats to gluons, or from matter to emotions, but the variety belies the unified actions of the process of existence. The act of participation in existence as an entity is the action of being a standing wave on the surface that contains all waves. The feedback of persistence in an entity is toward increasing the amount of being or action along the various dimensions. Each interaction dimension has its relationship to the other dimensions, whether it is at a parallel or perpendicular, a diagonal, or a function of some curvature. Each being interacts with all others in their process of interaction. Being means change. To continue to be means to continue to change. More being means more change.
This drive toward increase in change and being creates ever more complex interactions. Objectivity and subjectivity, each in opposition to the other, feed back to the other increasing potentials for exchange. More potential interaction means more potential information. The objective increase in information means more objective information, or more truth. The subjective increase in information means more subjective information, or more beauty.
Objective and subjective processes are towards more objective and subjective propagation or growth. These conditions are observed by the entities that these enhancements’ extended implications create. We are created by the universe, and the universe is created by us. Also, we create the universe, and the universe creates us. Both and neither both and neither.
It is not so much that the universe has intention toward the creation and observation of truth and beauty, but that the conditions of existence provide contrary linear and lateral extensions for propagation. We created observers define the pre-existing extensions by our own perception of their meanings. The game, the action, of existence is to create more truth and beauty. These are the yin and yang of subjective quality.
Truth and beauty exist in separate realms, yet they are found in each other. Even so, there are times and places where truth seems ugly and beauty is a deception. Truth and beauty are subjective. Position and momentum are objective, the yin and yang of objective quantification.
Opposing facts can both be true, depending upon the perspective. The view of a diagonal hypotenuse, when seen from a distance along the X-axis appears to give the diagonal a value of Y. Viewing the same diagonal from a distance along the Y-axis appears to give that same diagonal a value of X. Both views are correct, depending upon the point of view. Only from a higher perspective is the apparent contradiction resolved. The diagonal is both and neither X and Y.
Belief, the objective upshot of subjective reality, is required for truth. Knowledge, the subjective measure of objective reality, is required for factuality. What is important is not just what the facts are, but also how they are related to each other.
Relationships exist as cases of agreement and disagreement. The world is seen in cases of similarity and difference. Everything is compared to everything else. In some ways everything is the same as everything else, (along the objectively unchanging subjective axis), and in other ways (along the subjectively unchanging objective axis) everything is different from everything else. All things are both the same as, and different from, all other things.
The organization of forces and objects needed for life to exist are inherently parallel in structure to the organizations that create all levels of existence. It is through their similarities and differences that forces of attraction and repulsion are expressed on different levels.