Gravity produces acceleration  but only if objects are free to move Gravitational wavefunction reduces periodically, and Movement from gravitation can be tractable (predictable) or intractable (cannot be predicted or emulated in realtime). Yes, topologies are tractable solutions of gravitation 
"This is not rocket science, literally or figuratively" 
Gravitation is quantum mechanical in nature. Quantum mechanical wavefunctions concurrently relate to each other under linearity (vector summation). Gravitational wavefunction exists between any two material (mass, real) bodies with atomic granularity and all wavefunctions add up to one net wavefunction. The reduction of the gravitational wavefunction creates momentum at all bodies. If bodies are free to move they accelerate toward each other. The wavefunction reduction happens at some free running frequency. (To explain the cause of gravitation is to explain the mechanism that generates the frequency, but that is not the subject of this article.) Gravitational wavefunction reduction creates the following effects: (1) Linear acceleration if bodies have at least one degree of freedom, (2) Linear and angular acceleration if bodies have at least two degrees of freedom, and (3) Static pressure  or weight  if bodies have no degree of freedom. Because quantum mechanical gravitation is computational in nature, another aspect of gravitation deals with solutions to multibody problems and reaching tractable (realtime computable) topology. Gravitational forces result in the creation of a single or interlocked planetary or moon orbit, and onebody or twobody solutions via the computational template of the hyperstates (advanced). The first part is about Gravitation: basic mechanics, while the second part is about Organization: arriving at tractable structures that have both the logical and the physical topology. 

Of Gravitation.. 

The conservation of momentum holds at every conceivable instance of time when momentum is created within a system 
In English: The conservation of momentum (and, therefore, energy) holds even though bodies are not physically touching. Two or more bodies in a system can and do exchange momentum as long as the combined (total, net) momentum of such system remains constant (is conserved) The (law of the) conservation of momentum is generalized by combining Kepler's "force of gravitation between bodies is mutual" and Newton's "instant action" while recognizing mechanisms other than collision for momentum transfer. The 'otherthancollision' component is the QM component. The system aspect indicates two constructs: (1) System is composed of at least two bodies and (2) Intangible boundaries can be drawn identifying a system. The boundary forms a contiguous volume 




In the language of Quantum Mechanics (QM): "Instant action" of Newton confirms that force is never a one sided force but always arises as a dual and opposing force. Quantum mechanically, then, all forces are even wavefunctions. Gravitational wavefunctions exist in superposition and interconnect all bodies within the system with atomic granularity. Wavefunctions move and relate (recompute) at the speed of light and, owing to their virtual state, are not physical (are immaterial, virtual, intangible). Wavefunction superposition, however, is instantaneous subject to certain conditions. Should wavefunction computations so indicate, some wavefunctions instantaneously reduce and real linear and/or real angular momentum is imparted upon bodies with resulting (linear or angular) acceleration. Combined (net) momentum within the system remains constant and, therefore, energy is conserved even though individual bodies within the system gain momentum. When individual bodies gain momentum the mutual momentum between bodies changes but the total momentum of all bodies within the system remains the same (is conserved) because the momentum is created in the framework of momentum conservation (equal and opposite). Presently, Planck's constant is made up and serves [quite well] to match a theory with observations. Quantum mechanical gravitation gives Planck's constant a purpose: Momentum that is distributed among bodies within the system cannot continue to be divided on down indefinitely. The Planck constant is really a qualitative construct for digital basis of gravitation and not necessarily a quantitative measure of gravitation (gravitational granularity could be different as it is core based rather than electron based). 

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Q: "Momentum is to be conserved in at least two objects?"


Q: "Where does the equation E=mc^{2} fit in?"


Q: "Where does the quantum mechanical formalism fit with QM gravitation?"


The
book you will thoroughly enjoy: 

If quantum mechanics is not considered then the only way to conserve momentum is with collisions. Hence the legacy of classical mechanics: "You cannot get there from here" 
Recalling the past: If each body is independent (localized) then each body must account for the conservation of momentum. Classically, momentum needs to be conserved in each object individually and this ties the classical understanding to a trivial subset. Such subset, for example, allows momentum conservation during physical collisions only. One can never explain the creation of orbiting structures General theory of relativity is not incomplete – it is incorrect [stupid, actually]. Fieldbased gravitation is a repackaged Aristotle's "prime mover," which is presently illustrated as "sheet of rubber" by mainstream scientists. 'Field' is not something basic such as distance or mass and by itself a field does not mean anything. A field depends on geometry of real structures and a field then produces tractable or chaotic environment depending on the topology. With the topology missing, a field is nothing  just like a shaddow that disappears when the object that created it disappears. It should not be surprising that fieldbased gravitation is worthless because:
 Source of energy that moves
bodies is unknown Reworking the present: Antimatter cannot be used for propulsion because radiation yields no pressure. Photons of light do not have real momentum and laser, for example, cannot push a mirror. The upside is that a laser has no recoil Recalling Newton: Newton's physics includes instant action (and instant reaction  forces arise concurrently) as well as the absolute spatial distance and time. Newton is current with regard to the latest advances in photonics and quantum mechanics. A case can be made that Newton is not "classical" 

Q: "How come space (spatial distance) and time are absolute?"


Q: "The bending of light is because light has momentum and then light also has 'effective mass.' That is how black holes came about."
Q? Relevant Background:


In the quantum mechanical context, the collapse of the gravitational wavefunction instantaneously distributes real momentum among atoms (objects) within the system. The total momentum is constant and satisfies the conservation of momentum but each atom individually will have gained net momentum. This holds for both the linear and the angular momentum 
Angular momentum can be imparted on individual bodies as long as the combined (net) angular momentum distributed to all bodies within the system remains constant. Presently, classically or otherwise, there is no mechanism for the creation of spin. Everything in the universe can now spin... [It's doing it anyway] 

Q? Relevant Background:
Q: "How does a spin change as a function of scale?"


The linear and the angular momentum are linked (are not independent of each other). Because of the linkage and because the linkage exists in the context of the conservation of energy, the reversal of the angular momentum (reversal of spin) creates compensatory linear momentum that will reverse gravitation 
This is a radical and also a risky item, because classically it does not hold. Classically, linear and angular momentum are isolated. A satellite in orbit cannot change its angular momentum into linear momentum, or vice versa. (It is for this very reason NASA's "Space Elevator" cannot work.) Because the angular and linear mo are both moving energies, the conservation of energy, if satisfied, "does not care" if the moving energy is linear or angular. This may be so but there is a big gap in our understanding of physics because we did not so far formalize the conservation of direction. We call it a 'vector' law but that's about it. Here is also a gateway to transformations and energies in both domains that need to be taken into account. (In the Quantum Pythagoreans book this gap is closed and the reason for having vectors is explained.) Formal definition of Gravitation. The implications are: ¤ Gravitation waves will not be found (will not be directly measured) as these are virtual and are subject to quantum mechanical considerations ¤ Gravity can be neutralized ¤ Neutrinos do not exist in their real (particle) state. They will not be detected since their virtual state cannot be reduced at will Gravity reversal does not call for large amounts of energy since the sum of the momentum is zero — coming or going Note: There are two basic pursuits in dealing with gravitation: (1) Working the gravitational wavefunction and (2) Working the mass of the bodies. All workings are searching [better be] for reversible transformations 

The system under consideration is a system in which the total (combined) momentum is constant. All outside gravitational forces that equally affect all bodies within such system can be ignored 
Gravitation issues need intangible boundary that defines the system under consideration. Boundary can be drawn to obtain practical results but such boundary is not arbitrary. Boundary can be constructed where all external gravitational forces crossing the boundary affect all objects within the system equally and thus can be ignored. [Appears similar/identical to a linearity requirement.] 

Boundaries of the system under consideration may be increased by nesting (but nesting is not the only way of obtaining new boundaries) 
Larger boundaries can be formed such that earlier boundaries are nested within the new boundaries. External gravitational forces that equally affect all bodies within earlier boundaries were ignored within earlier boundary, but such forces can no longer be ignored within new boundaries 

Spatial distance and mass are not the only determinants of gravitational significance 
Basic way of stating that Newton's 2nd is incomplete. The incompleteness is not important in the classical context of forces that operate among existing orbiting bodies but becomes important when dealing with spin creation. This is because the existing (observed) systems are organized already (have a mathematical solution) and the spin of solar systems and flat galaxies is for the most part fixed or the spin is periodic (spherical galaxy) 

Up to this point we postulated quantum mechanical gravitation as a mechanism that distributes linear and angular momentum among physical bodies in the context of the conservation of momentum. The amount and direction of the distributed (exchanged) linear and angular momentum, however, is subject to knowledge that, in turn, is a function of the hyperstates template, which, in turn, issues from the Tetractys of Pythagoras:
The following addresses the mechanism of organizing physical bodies into geometries we observe 

...and Organization 

Universe is finite yet unbounded

Well established. The universe is not a closed system. Need to start here because the 2nd law of thermodynamics does not apply and the universe does not tend toward entropy and the universe will not become homogenized and undifferentiated "nothingness." Note that the closed system condition is fundamental to thermodynamics and is facilitated by physical and thermal barriers
Interacting formal and informal systems can grow and sustain themselves without physical barriers. Informal (virtual) systems can sustain themselves with or without physical barriers. Formal systems remain fixed or atrophy with physical barriers 

Classically, chaos does not diminish. In the quantum mechanical context, chaotic systems tend to diminish 
Real (ifthen) methods cannot describe chaotic systems and, therefore, cannot deal with chaotic systems Observed geometries suggest the universe can and does organize. Increase in organization is directly reflected in the growth of the universe Although there is no classical chaostoorganization mechanism, there is a nonlocal chaostoorganization mechanism. 

Q: "It is easy to suddenly switch to some such 'nonlocal' mechanism, but what is the path that gets us there?"


In the universe, matter becomes real in a framework that creates and/or preserves formal systems. Such framework is that of reputation (relational computation) which, through infinite concurrency, can assess any and all influences. Formal systems are, by definition, computable but only a particular subset of formal systems is tractable 
Premise based on the lack of chaotic systems we observe in the universe. The new framework postulates that matter appears per some mechanism, one piece (atom, electron) at a time. Fundamentally, the creation of a formal system calls for a solution to nonpolynomial problems Relational computing (reputing) is the new framework for appearance of matter. Reputed matter appears in a way that reduces chaos and creates formal systems 

There is one framework that is valid in the micro and the macro worlds; there is a mechanism that is independent of scale 
Up to now, there is no unifying framework between Hyperspace and Realspace. Yet, there is one framework that works: Hyperstates. While the organizational template exists and is derived from the Pythagoras' Tetractys, you should be also cognizant of three body instability (chaos), what it means, what it does, and, most importantly, that chaos is not a dead end. 

There exist the real and the virtual domains. Separated by a discontinuity, the real and the virtual are not opposites and are always engaged. The engagement of the real and virtual is the source of selforganization. The real and the virtual domains can be unified only at peril 
Establishes Duality as based on real and virtual domains and postulates some of its properties. The virtual system is an informal system that, however, is or can be repeatable. Real and virtual domains are not inherently in opposition because they are qualitatively different The real domain is finite and unbounded. The virtual domain is infinite Merging (unification) of the real and virtual domains into a single domain is not computable (annihilation). 

Q? Relevant Background:


Both the real and virtual domains can be emulated 
Early on in history we derived the concept of time to emulate and predict events in the real domain. (To fermions, time doesn't matter.) We can also emulate the virtual and give it a mathematical foundation that is without allandnothing labels such as 'para,' 'meta,' 'sur,' or [personal favorite] 'consumer acts in his best interest' 

Q: "If time is a derivative how can time be absolute?"
Q? Relevant background:


Organization increases when both the real and the virtual aspects, while separate, remain in a tractable state 
Tractability allows nonconflicting transitions (via transformation) between the real and the virtual domains while maintaining the separation of both domains. A particular system, then, has its real and virtual representation Real and virtual aspects refer to real and virtual properties and interactions of the respective real or virtual entities. Real and virtual entities may transition from one domain to another through transformations that can be and should be reversible. All transformations happen in the framework of the conservation of energy No entity can be real and virtual at the same instance 

Q? Relevant background:



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