QuerkCalculus

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Querk Calculus is a bastardization of formal logic designed to attribute dynamical perspective to logical structure such that they might be employed to relate quantum logic to quantum state and help understand Wheeler's challenge, of how we get it from bit.

Universal logic has many expressions: Sheffer's stroke, networks of nand-delays, lambda calculus, language theory, propositional calculus, etc.

Dynamical universal logic is not subject to Godel's incompleteness. In computation, for example, the variable X may have the value true at one point in the calculation, and false in another, without absurdity. The conceivable algorithms and their states are countable, unlike truth in static logic. If, as Fredkin, Wolfram, Lloyde etc. suggest, the universe has a computational nature, then it obeys computational logic, not classical logic. Employing the computational model in the behaiviour of the logical machinery is not really all that strange. It is not absurd because truth values change dynamically in computation, and it turns out that our experience is changes in state, not state itself. What is manifest as the product of the changes, vibrations, or quirky wrinkling of momentum propagating in state space obeying computational rules, IS what exists, so far as we can measure.

There need be no static truth or information or existence. Things (patterns) persist because they repeat computational cycles. Changes are what is manifest and are all that is experienced. For example, photons are equivalent to two dimensional changes in quantum state as demonstrated by the photoelectric effect. Matrix mechanics accurately (24 decimal places) reveals what state changes are logically possible, or equivalently how potentials may propagate. The presumption that this is the only thing happening in the universe turns out to be without contradiction. Carver Mead's "fluxoid", or Plank action (hbar), or change in state of the Plank length/time/momentum, minimal state change of one unit, turns out to be equivalent to discriminating 50% of the quantum possibilities, or exactly one bit of information(Wheeler, Ziglingder et al).

For simplicity we can consider the "mark" of Spensor-Brown's "Laws of Form" as the universal logical element represented by the dynamical bit or primitive querk where, it turns out, the laws of calling and crossing correspond, dynamically, to doubling or reflection and cancellation in quantum state. See http://en.wikipedia.org/wiki/Laws_of_Form for a good introduction, or use nand-delays or any other universal construct you are comfortable with to represent the idea of a dynamical bit or querk. Not X and Y it equivalent to saying X and Y are distinct which is exactly one bit of information.

The meaning of the bit, or information here does not have to do with cognition, or human knowledge of the bit, it has to do simply with the actual existence of a distinction anywhere in the logical system. We might posses an understanding not manifest within the system and the system may posses distinctions which we cannot determine exactly by interaction with it. Dynamical bits have nothing to do with universal truth and everything to do with what is discriminated at a particular time and place "collectively", as Mead puts it, by the participating elements of the quantum system. Querks represent these elements, or potentials, and relate them to dynamical information in the system, obeying quantum logical operations in a computational manner which exhibits universal computing along with out physical measurable, time, space, energy and mass in exact multiples of the Plank action or fluxoid, i.e. bits..

The ^ is the first querk, called "up". It implies an equal opposite querk v, called "down". It is a distinction between two things logically establishing that X is distinct from Y and Y is distinct from X. It is a discrete logical dimension of two discrete vectors each logically entangled to be the logical converse or opposite perspective of the other.

Additional ^ querks contribute to orderings (aligned fluxoids/quantum potentials), but unless logically entangled, querks will be independent distinctions that do not share a direction. For this reason we introduce additional querks which are orthogonal to each other, > right, o away, / elsewhere, and their partners, < left, . toward, and \ otherwize.

These are sufficient to understand the first four spacial dimensions, orthogonal transformation in matrix mechanics, or x, the square root of minus x sqrt(-x), sqrt(-sqrt(-x)), sqrt(-sqrt(-sqrt(-x))), in the Shroedinger or Dirac equations.

Futher independent dimensions, e.g. sqrt(-sqrt(-sqrt(-sqrt(-x)))), are represented reusing ^ > o and / as needed in the independent coordinate system they manifest.

Quantum logical operations exhibit this orthogonal folding into other dimensions which may be aligned logically or not by logical entanglements.

Time and space is the ordering of operations in every dimension. Local time is is the ordering of local quantum logical operations we call quantum events. Space is defined by the orderings coincident in local time.

The quantum creation operator in quantum mechanics always creates equal and opposite folding potentials. One dimensional neutrino pair, 2 dimensional electron positron pairs, etc.

<------>

It is presumed all that exists is created in this manner as there is no other known mechanism of creation. These potentials instantiate one or more bi-local vector potential pair entangled by virtue of being the two opposite aspects of the same thing. This bi-local nature contradicts the classical notion of local causality and is ultimately responsible for the non-local nature of quantum events by commuted entanglements of these. Because the potentials interact by folding, orthogonal, right angle, independent, vector transformation, their action is skewed, not linear, hence the name querks.

v-----^

There is a tendency in real systems for repeated folding in the same direction. While each fold potentially into an independent dimension, it is possible for every second fold to align with the prior dimension in the same or opposite direction. Such folding, when repeated, endow querk systems with handedness and orientation.

It is the intention of the querk model to be faithful to quantum mechanics and help bridge the gap to our human idea of particles. Querks are a simple way to visualize the propagation of momentum in quantum state according to measurement. A pair of orthogonally entangled querks model an electron-positron pair. The folding of each defines both handedness and binary orientation spin components.

querks.gif

Querks are the wrinkles in nothingness which manifest the eigenvalues of time, space, energy, or mass depending on perspective. They are not inherently any of these things.

It is also known that quantum potentials only come in integer multiples of Plank actions, hbar, or fluxiods, as Mead calls them. A querk is one or more aligned Plank actions associated with an equal but opposite querk. It is equivalent to a neutrino pair. Each end of a querk corresponds to a quantum potential which folds orthogonally as required to exactly cancel opposite querks. Each fold is mirrored by its entangled partner, the other end of the querk as they are opposite aspects of a singular difference. The folding of each end is seen as having opposite handedness due to perspective. Each fold is a tick of the quantum clockwork.

Now the issue of how big querks are composed of little querks involves a bit of speculation.

First consider what is known about fluxiods. They represent the minimal action, the Plank action. Each fluxiod action discriminates 50% of the quantum possibilities, thus differentiating our world from all possible worlds. It is equal to a bit of information. As Ziglingder put it, each hbar of action answers one yes/no question about our world. It cuts what is possibly true in half. However, it is not a process of finding out what is already true, it is the process of synthesizing what is becoming.

Next, because fluxoid action is too tiny to measure, we assume that primal querks of one Plank action will have a similar behavior to their bigger sibling. We assume they can line up, cancel, or be independent. Lining up suggests a way they can combine into bigger querks.

Well, bigger is actually smaller, as twice the energy discriminates half the distance and half the time. A primal querk pair is the biggest thing in the universe, about 10^25 light years due to the inverse relation between energy and spacetime.

Now all these primal querks having partners across the universe will still have those distant partners even when they line up to form querks of electrons and atoms. Association of querks is most often by doubling or dividing. This is consistent with a structure of doubling and dividing relating harmonic quercks on every scale in the universe. It is consistent with how hbar or each Plank action might discriminate 50% of possibilities (Wheeler, Zorig, Zieglingder).

There are multiple quantum clockwork ideas that are consistent with what we measure and there is not a provably correct model. However, we can exclude the possibility of deeper structure as quantum possibilities are limited logically, not physically, and determined cooperatively, not locally.

See KineticQuantumClockwork

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