Sunday, April 18, 2010

Lattice Theory of SpaceTime

SpaceTime can be modeled as the progression of energy flow in an n-Dimensional lattice of angular momentum vector particles with interactions being allowed between all particles.


Quantization of energy is the principle mathematical point of attack in Quantum Physics where the rules of quantization clarify that energy is delivered in discrete units. This discretization of energy is not unlike the discretization that must also be applied to spacetime, in order for Einstein's Theory of Relativity to become reconciled with Quantum Theory in the long run. In this paper, I will argue that a Lattice Model is suitable for this purpose. The advantages of a lattice model are numerous. For one, a lattice model is defined on a lattice, as opposed to a continuum of spacetime and therefore automatically imposes a discrete model on it. For another, lattice models of energy propagation can be solved for exact solutions, making them very suitable for the construction of experimentally verifiable predictions. Thirdly, lattice models allow for the presence of solitons and other wave packets of energy and momentum that could be used to represent matter accurately. In addition, it bears noting that both Quantum Chromo Dynamics (QCD) and Quantum Field Theory have strong links to well defined lattice models.

I will take the stand that the good fit of lattice models generally in describing both mechanical and electromagnetic phenomena indicates a deep theoretical connection between mechanical and electromagnetic events. I will present rudimentary proof that the likely analogue of the spacetime metric as defined in Einstein's Theory of Relativity in such a model is a lattice with equally spaced particles of equal mass with interactions between ALL particles. The elements that make up the lattice are assumed to be spin angular momentum vectors- whether of electrons or the spinning wheels of the relativistic machine they are elements of such a lattice. An electrical line with the same propagation properties as a spacetime lattice will be presented.

The energy flow properties of such a lattice will be analyzed with the assistance of the equivalent electrical line. In such a model, it can be shown that an inductively suspended flywheel is the equivalent of an inductor and that it is possible to envision a new type of flying machine which operates as a resonant LC circuit. I will show that one can analyze the behavior of the relativistic machine by identifying its the equivalent electrical loaded line and building analogies between the observed electromagnetic and mechanical behaviors.

I will present mathematical support for the argument that unlike in classical analogies between electromagnetic and mechanical effects, in which electromagnetic energy is associated with kinetic energy and electrostatic energy is associated with potential energy, the appropriate analogy for the spacetime lattice involves associating (charge with angular momentum IE.) electrostatic energy with kinetic energy and electromagnetic energy with potential energyt. I will demonstrate that such a model is a fully viable alternative to the classical one. I will then present my final argument by analyzing the elements of the Lagrangian of the Lattice involved and use wave theory to describe energy propagation. To summarize, if we can account for all phenomena, from the Newtonian to the relativistic, by defining a discretized lattice appropriate for the problem concerned, in accordance with a fixed set of rules, then such a Lattice Theory is a powerful way forward for the unification of Quantum and Relativistic parameters. (To be continued.)

Experiment Update
I have introduced a new modification to the relativistic machine after studying data from the earlier experiments namely, hinges which allow an additional degree of freedom to the spinning wheels. With the completion of this modification the relativistic machine is set to be engaged in flight mode. Testing will begin in a week.