


This page has a number of concepts that all add up to something meaningful. The best way to work them is to realize that what you have been taught as mainstream science is a bunch of pronouncements with silly conclusions. For some of you, mainstream science is warped so bad it borders on conspiracy. In any case, you decided to push the reset button and see if you can come up with something better. You want to set the context to 'placement and movement' and continue on. The first two items deal with a continuum  what makes a continuum into continuum and what is but an overlay. The third item is simple but it is only an intro to a more complex issue: dependence and independence of variables. This is a very new topic and "foreign" to science: it deals with reversibility. Rising temperatures may increase the consumption of ice cream but the increase in the consumption of ice cream will not increase outdoor temperature. A mainstream scientist cannot even begin to address this and probably never will. The next two items deal with tractability. In essence, you send scientists packing every time they claim that the solution happens eventually. You see, you do not complain about some conspiracies because you want to get to another solar system in a week, and not in a million years. You do not need a scientist (or anybody else) to tell you what cannot be done because everything and anything can be done tractably. 
The
book you will thoroughly enjoy: 

To move within cosmos, you will need to figure out how the universe is organizing. You will discover that certain things are formal while others are informal (associative). You realize that the associative domain (the virtual domain) actually exists in the universe and it has no distance parameter. You are on the right track. 

TwoA. DistanceTime Overlay 

When bodies are well defined and are far apart, they travel on a smooth path and we have no difficulty associating continuous time with their travel. Here is where we feel most comfortable because general solutions exist and we can calculate what will happen to the bodies. Time can be used to foretell the trajectory because the path (distance) has a mathematical solution. Twobody solutions are circle, ellipse, parabola, and hyperbola. Another way of looking at time is that periodicity exists and things eventually return to the same spot If the mathematical solution exists, the path can be computed on ahead because distance and time are linked through a formula. Since the formula relates time to distance and distance to time, we can pick either one to obtain the other. We can, then, speak of distancetime linking, or a convergence (conjunction, union, synchronization, commutation) of spatial distance and time. One can also speak of distancetime continuum if the definition of continuum is weakened Mathematical solution results in the distance and the time to be linked up through equation and distancetime overlay is a good way to describe any and all mathematical solutions of moving bodies. Time overlay signifies that time can be used to make predictions because the (polynomial) solution is available
We
can also say that the periodic behavior of an atom points to high
degree of computability within the atom 
Questions:
Can
there be time without periodicity?
What's
the big deal about atomic
computability?
What
is computability? 

TwoB. Continuum 

Continuum is a meld of (usually) two variables that cannot be separated. Momentum is a product of mass and velocity, for example. Because (1) momentum is a moving energy and (2) energy is conserved, the product of mass and velocity (momentum) is also conserved. Therefore, massvelocity product holds together in a continuum and mass cannot be classically manipulated to become zero, for example. Also, a particular amount of momentum can be composed of various masses and velocity values that multiply to the particular fixed amount. Momentum is a massvelocity continuum The virtual electron is a continuum of spatial volume and energy. [You may want to look at de Broglie's wave equation relating momentum and frequency. Frequency is wave's energy just as momentum is moving mass energy.] Virtual electron is a pocket of spaceenergy continuum. The interaction of the virtual electron with its environment is a function of both the volume (shape) and the frequency of the virtual electron. Changing the shape while keeping the energy (frequency) the same yields different interactions (wavefunction changes). Spatial volume and frequency of the virtual electron are inseparable, just as mass and velocity of a real (moving) object are inseparable. Virtual electrons are also about geometric shapes, forms, structures and topologies where interactions can produce computable as well as learning (onetime) entities [advanced] Continuum, being based on the conservation of energy, cannot be broken or destroyed but can be transformed as a whole. Spacetime continuum is an often used phrase but it is not a continuum because it does not include energy that guarantees the continuum to prevail as continuum.

Questions:
How
is it possible to maintain spacetime
continuum or speak of time as being the fourth dimension? It is easy to break or tear distancetime continuum if the distancetime continuum is not a continuum in the first place. Also note that quantum mechanics differentiates quantum vacuum (space) from spatial distance. Spatial distance deals with measured magnitudes
Much
evidence exists that one can travel in time. People described
visiting old places that turn out to be historically accurate.
If an object
disappears and then reappears someplace else, does it violate
spacetime continuum? My
guess is that it does. In this topic, continuum holds only if energy is included 

TwoC. Physical Contact 

Collisions happen whenever bodies come together in one place. If bodies do not crumple (crumpling dissipates momentum as heat), colliding bodies instantly recoil and instantly change direction as well as speed, all as a result of conserving the combined (total) momentum of the colliding assembly At this point, however, we need to reevaluate our cozy feeling about time. Discontinuous effects happen because the conservation of momentum prevails. The conservation of momentum is so dominant that all other smooth aspects of velocity, trajectory and time subordinate themselves to the conservation of momentum. In fact, we do not need time when calculating the beforeandafter effects of collisions because everything happens in an instant and we do not need time (continuous or discontinuous) to get correct result. Mathematically we say that the description of a collision is not a function of time
Time
follows (subordinates to) the conservation of momentum and readily
makes itself zero 

Questions:
If
time follows other variables then how can time be an independent variable?
If
time cannot be moved forward independently of other variables, how
can anyone make a prediction? Time cannot be made into an independent variable. We can successfully forecast the start of the next baseball season but it is only because the organized infrastructure is in place. 

TwoD. Chaos 

When three or more bodies come close together and interact gravitationally, the conservation of momentum again prevails. Bodies begin to move in ways that are not computable and their paths are not predictable. Time appears (and is) continuous because the body's trajectory is continuous, but there is no general solution to the gravitational interactions of three or more bodies. Mathematically we say that there exists no function that can be computed (anytime we want and as fast as we want) to give us answers ahead of realtime. We can also say that there exists no embodiment or that the situation is intractable. Time is useless because if we insist on applying time, the calculated and the actual trajectories forever diverge. [Question: Does chaotic system have periodicity?] Things get a bit dizzy here and calling it chaos makes sense. Since we do not find chaotic structures in the cosmos, it is a good guess that QM Gravitation provides for solutions (provides for systems) that have certain organized outcomes or topologies In chaotic environment the distance and time are not and cannot be linked through a formula. In chaotic context the distancetime overlay (spacetime "continuum") does not exist
Classical
physics has no mechanism that would diminish chaos. This is because
in the classical mindset the nonpolynomial problem, while solvable
in principle, is not solvable for all practical purposes  the
Traveling Salesman problem being a good example. QM allows solutions
to nonpolynomial problems in a practical timeframe but the timeframe
itself is not guaranteed 
Questions:
If
time is a derivative of a periodic system, can we create periodic
system by manipulating time?
What
really determines if a problem does or does not have a solution?
If
there is no general solution then the outcome is not a given. If it
is not a given that organization prevails over chaos, why isn't there
more chaos in the universe?
If
there exists no formula linking distance and time in a chaotic
context, then how can nature compute what it does and man cannot? We have a page on chaos, which is really about threebody instability. It also includes a new definition of the scientific method 

TwoE. Completeness 

Nonpolynomial problem presents a good example of intractability. For such problem in general, when we increase the number of members in a system by one, the new member relates to every other member in a system and to completely describe such new system becomes practically impossible. If there is a system that takes one year to describe, then for every 1,000 fold increase in processing speed, for example, the size of the system we can completely describe in a year may increase by a scant 10 percent. Moreover, even though the size of the fully described system increases, the number of members is nowhere near the number we need for practicalsize systems. It makes sense to call nonpolynomial problems intractable: Relationships within the system can be so numerous that relationships cannot be tractably processed to obtain a solution or an update. In summary, arbitrary addition of a new member can change the composition of the system to such extent that we must start from scratch rather than build upon the results obtained from previous systems descriptions To guarantee a solution of a nonpolynomial problem is to attack it systematically and exhaustively. Starting from scratch and leaving no stone unturned is the price of a guarantee. But, even though we know there is a solution, we also know we cannot get the solution soon enough. Yet we need a solution. Whoever can process practical quantities of influencing variables in practical timeframe will not only be able to come up with a solution, but will also be able to come up with a better solution Scientific concepts use the property of completeness without hesitation. If intractability arises with the completeness construct, and it often does, further development of such concepts becomes limited or impractical. To the classical scientist system completeness is something that is achievable and something that can be repeatedly and predictably measured. Classical scientist, however, ignores the fact that completeness can take forever to formulate. Because the measurement is the scientist's tool for achieving completeness, classical scientist cannot accept the possibility that measurement could be impossible, unpredictable, or detrimental (when the superposition of states is affected). This is the core of the mystery of irrational numbers. Irrational number's magnitude (mantissa) is infinite and, therefore, intractable. Ignoring intractability leads to "good enough" truncation but then the irrational number is no longer irrational. Study of quantum mechanics leads to the conceptualization of the real and the virtual. In the real domain we measure. In the virtual we compare and relate  that is, we relationally compute. The measurement results in one answer whereas relational computing (reputing) results in a list of all possible outcomes. Such list can then be prioritized based on relevancy. When possible outcomes reduce to one, we have a solution
Reputing is not
about the consensus of ways and means toward accomplishing a desired
outcome because reputing is about many and various influences that
are relevant to the situation at hand. Reputing quantifies the
relevant negative (detracting) and positive (supporting) influences
we are subject to. Reputing also quantifies relevant influences that
issue from us (outfluences)
and that support and detract others. Reputing does not exclude the
accomplishment of an objective and reputing does have a purpose.
Reputing allows the review of all possible outcomes and if the
outcomes are not close to the desired ones the influences need some work 
Comment:
Meanwhile, keep on
looking. QM's property of superposition (inclusiveness), which is not
possible in the real (exclusive) world, is very much a helper in QM
because the concurrency is unbounded and ..
Alchemical Note: Condensate is the solution if solution is the condensate. If you say you will know it's a solution when you see it, you need more work. Solutions must be sought to be seen 

TwoF. Organization 

Our solar system (Oss) is indeed one of the multibody solutions that for the most part is not chaotic. Real solution is a solution that is computable in polynomial fashion. We can also say that real methods are applicable because all computational resources (parameters) become localized and can be measured. In addition to spatial distance, localization includes periodicity and, therefore, another time reference is born Without a topological solution the multibody system is intractable. We can now say that the reason there exists no function that would describe the chaotic system is because more than one solution is possible – that is, chaotic system contains multiple solutions. Because no one solution is clearly indicated the system is not computable. Moreover, chaotic system contains more than one solution and does not have zero solutions. Entering a new territory, we no longer lament our inability to describe the chaotic environment, for other computing methods besides intractable methods can become available All classical scientists start at the point of the organized assembly (problem is already solved) and describe moving or orbiting systems as they found them. HyperFlight takes advantage of the organizing knowledge and to get to HyperFlight, we will need to understand how matter organizes from potentially chaotic to specifically organized assemblies To diminish chaos, one solution of QM Gravitation calls for large planetary separation and a massive central body forming twobody (sub)systems with each planet. The goal is to minimize threebody chaotic systems. (Also consider particular orbital ratios in helping to merge many bodies into one  think harmonics in general and the octave in particular.) Another solution calls for a dualsun system which, again, is a computable twobody system. Onebody solution is also computable in a polynomial fashion and this solution applies to a "piece of rock" moving in a straight line in the absence of other bodies, and also applies to other singlebody geometries where (if) plurality of bodies move as one body
It
is obvious to some that every star is a component of an organized
system and, with our propensity to name things, it is curious we
refer to our solar system as 'our solar system' while all other suns
(solar systems) have names. It then makes perfect sense to call our
solar system The Oss ["The
Awesome"] 
Question:


TwoG. Disappearing Body 

The conservation of momentum is not violated if, for example, one body disappears instantly and two or more other bodies instantly appear in the same system with their combined momentum matching the one that disappeared. Similarly, several bodies can instantly disappear and many other bodies appear bearing the equivalent momentum of all disappeared bodies. The idea of disappearing bodies seems preposterous, yet it can and does happen with particles the size of the electron. What the possibility of disappearing bodies suggests is that real mass subordinates to the conservation of momentum as well. (Real mass is our everyday mass with measurable properties.) What is happening here is that if a reversible transformation happens in the context of energy conservation, interesting things happen Here is a good example of the mechanics of reputation (relational computation). We observe the dominance of the conservation of momentum so many times under so many different circumstances that we can postulate the subordination of real mass to momentum conservation. No equation can bring you here because we were reputing, but an equation can possibly start here (if we have a solution) Real matter does not disappear when it subordinates to the conservation of momentum. Rather, matter can transition from the real to the virtual domain, and back again. We can also add that the transition of matter from virtual to real is none other than localization within the framework of a reduction (reputation) or a final reduction (condensate) of a solution. It is a good guess that localization of matter is not arbitrary because reputation decreases chaos. Real matter can, however, be destroyed if its atomic constituents cannot remain in a computable (reputable) state
Moving
body has real momentum and if such body disappears on its own
(without system consideration) then body's momentum must be conserved
by transformation [advanced] 
Questions:
What
gives a system the property that momentum can be conserved within a
system rather than insisting that each body conserves momentum of its
own, on its own?
Why,
if momentum dominates, there is so little information about it? 

TwoH. Accelerating Body 

We can see that if momentum appears within the system such that the total momentum of the system remains the same, we will also subscribe to the conservation of momentum. Momentum appears as a moving energy. In other words, objects can accelerate or decelerate and thus their own momentum increases or decreases (mutual momentum changes). While the sudden and ongoing appearance of acceleration fits well into the framework of the conservation of momentum, this postulate is clearly technical. If we think about the way of actually implementing the instant appearance of momentum in the context of the total momentum conservation, we will also need certain knowledge that keeps the account of the energy and where it is located and under what circumstances is the energy easily released. We will also require the increase and decrease of momentum to be instantaneous across the system because we need to conserve momentum at every conceivable instance of time within such system. When a unit of momentum appears, identical and opposite unit must appear at the very same instance someplace else within the system.
Total momentum
is conserved within the system but then the idea of transforming into
virtual domain offers the opportunity to move rapidly in a logical
fashion. The conservation of momentum continues to hold in the
virtual domain but the conservation now must hold computationally 


You may have noticed that QM Gravitation always deals with two or more bodies. A single lone body cannot begin to move or spin because it needs other bodies to exchange momentum with, and do so in a way that conserves momentum. QM Gravitation provides for solutions that result in several formations or topologies. There are eleven major topologies such as planet in orbit, planetary (multi)ring, barred galaxy, and galactic superclusters. All topologies result from dominance of certain variables and this site calls the topologies HyperStates If you feel comfortable with the preceding topics, there is another, more intense compendium of topics regarding gravitation and the outcome (or purpose) of gravitation  organization. It has more references, too. 

"Can you reduce this to practice? You are in a spaceship as a real entity and are accelerating at a rapid rate. The real momentum you are just gaining must have been realized someplace else and must be happening in the opposite direction of your own. If the other momentum was realized at another planet, such planet would hardly move but you could be accelerating at 100 Gs or more as every atom in your body and your spaceship is receiving the same momentum." "But.." "Hi, Geo." "Why isn't the universe composed of just two bodies?" "Nice. There is something to it. Why do you think it would be only two?" "Or just one body. One giant hollow sphere in 3D." "As in 'Bigger is better?'" "Maybe." "Georgie, the sun at the center strives to be bigger and bigger because sun wants to have more and more orbiting planets." "Why more planets?" "Orbiting planets give the solar system angular momentum or spin." "Does the solar system then have greater .. staying power, like the spinning top?" "Exactly!" "But you did not answer my first question, Daad." "Sun is composed of atoms that themselves are organized with electrons and protons. When the sun gets too large, atoms cannot remain organized and the whole sun blows up in a supernova." "You are kidding." "I wish I could." "So what happens next?" "Solar systems, instead of growing bigger on their own, collect into even larger and organized assemblies." "Galaxies?" "Take a peek at Concept Three." "But wait. Are you saying that sun can figure out it is getting too big?" "You said it just right. Sun can figure it out but it is not a given." "But how, Dad? Tell me how!" "We've got to get the move on." 

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or select another topic from the gold post 

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