To add a little clarification, I am programming a simulation that will not need collision detection or different algorithms for different substances because it makes objects by aggregating atom like operators. You don't have to read the description if its too complicated. Im just comparing the two rings that make up each operator to the two rings in another operator and then assigning velocity induction based on the orientations.http://josephstang.com/?page_id=2
The following describes a toroidal ring of energy of infinite flexibility that holonomically reflects all the other particles in the universe. The four velocities/precessions and the two radii(particle center to cross section center, and radii of the cross section itself) are entirely sufficient to describe all the effects in macro and sub-atomic physics. The two sets of two velocities(external parallel, external orthogonal/internal parallel, internal orthogonal) together form the light speed potential well and define C in the reference frame. C changes as a measure of the local gravity.
The four precessions replicate Electricity, Magnetism, Molecular Bonding, and Inertia. External Parallel = Electricity. External Orthogonal = Magnetism. Internal Parallel = Molecular Bonding. Internal Orthogonal = Inertia.
This is an engineered real, local, hidden variable theory. It overcomes Bell’s inequalities using Bohm style holonomic sensitivity. It explains the effects that give rise to the Heisenberg Uncertainty Principle by ascribing them to slower than light measuring particles which measure a geometry with FTL internals. Quarks are represented by the different phase relationships between the four velocities / precessions. The hidden variables are the phases of the precessions.
1. One operator instantiation corresponds to a proton or an electron, represented by a flexible elastic ring of electric charge with a non-zero cross section(toroid).
2. Each operator has two circles. The two circles are tangent at a point. The small circle is inside the big circle. The big circle represents velocity along the surface of the ring, and the small circle represents velocity inside the toroid, i.e. the movement of the energy flow inside the cross section.
3. An orthonormal basis maintains orientation consistency between each operator basis, and the simulation basis. The big circle is always in the XY plane of the operator basis. The small circle rotates at the tangent point with circumferential / parallel velocity, and orthagonal velocity that rotates the plane of the small circle.
4. Each operator has two axes of rotation, an internal and an external. The small circle’s rotation axis lies on the small circle’s X intercept opposite the tangent point and the big circle’s axis lies on the the X intercept opposite the tangent point.
5. Each circle has inherent angular direction. The big circle’s rotation along its circumference represents parallel surface velocity and its angular rotation represents orthogonal velocity. The small circle’s parallel circumferential rotation represents internal parallel velocity and the angular rotation represents internal orthogonal velocity.
6. The operator is intended to have four oscillations or precessions such that velocity applied in any direction tends to shift the direction of the oscillation towards the direction the velocity is applied, like an unfettered gyroscope unaffected by macro gravity. Four velocities will be applied in every time instance with the intent of maintaining and manipulating four separate frequencies in each operator.
7. The operator moves as the circles move. It does not drift or conserve momentum.
8. The path of one operator by itself is to be constrained so that the center will describe the surface of a fuzzy sphere.
1. Theta1: Big circle parallel velocity.
2. Theta2: Small circle parallel velocity.
3. Omega1: Big circle orthogonal velocity.
4. Omega2: Small circle orthogonal velocity.
5. r1: Big circle radius. Toroid’s radius from center to cross section center.
6. r2: Small circle radius. Radius of cross section.
7. H(theta, phi, gamma): The orientation of the operator. Theta and phi are spherical coordinates. X in the particle’s basis is determined by Theta and phi. Gamma represents a twist of X such that Y and Z are uniquely determined.
8. Position(X,Y,Z): Position in the shared basis.
1. The circles will be quantized into segments called qizers. The minimum arc length a circle rotation describes is a qizer. The number of qizers in the system is a function of the total velocity.
2. Omega1 is the number of qizers to rotate Bc in the time instance(T). Omega2 is the number of qizers to rotate Sc in T. The two rotations at their respective axes are to happen together. This double axis rotation, when done by affine transformation, causes a twist in the orthonormal basis. The resulting orientation is H.
3. Like velocities add, and unlike velocities subtract. Like and unlike are determined by velocity direction and a comparison of the separate orientations, H. The amount of addition or subtraction is determined by the distance between the operators.
4. All calculations are to be done simultaneously so that each operator is compared to all other operators to determine its state in the next time instance.
5. The radii(number of qizers) of each operator increases when the velocity would cause more than a calculable amount of rotation(less than 1), or decreases when the rotation is smaller than a single qizer.
6. Relativistic style constraints should be added to replicate a dual-sided asymptotic potential energy well instead of a light speed barrier.