Overview of Probability Signatures
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The QA Approach to Logic
 

This site functions within and is predicated upon a "dynamic systems" approach to logic. The QA Conceptual Paradigm (QACP) functions primarily upon three intellectual approaches to critical thinking:
 

1) thought experiments within a 4 dimensional space-time coordinate system
2) assumption of "complementarity" at the quantum level
3) NON Boolean Logic!
 
As such, the QACP violates Temporal Logic (Zeno's Paradox) and Logical Regression (How can some "thing" come from nothing and a "non-thing?").

            QA suggests that "Realty" is variable (unmeasureable) and is the result of the interaction of an infinite number of variables (constituent variables will also change constantly!) constantly interacting at the 4 dimensional space-time level. Restated at the macroscopic level, what may appear to be very linear and measureable(1+ 1 = 2) may (at the quantum 4 dimensional space-time level) be non-linear, totally unpredictable and will violate classical, precise mathematical form if expressed in quantum terms. The situation is analogous to the historical view of the world based on Newtonian Physics. Everything we see "works" on this dimensional level. However, if you go to the universal level things will look and function differently. Go to the sub atomic level and quantum rules apply; here 1 + 1 = 1.

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Overview of the QA "Probability Signature" or PS

PS relate to the concept of "quantum potential" mentioned in the Copenhagen and other interpretations of quantum mechanics. The functional components are like those found in the S - Matrix. In short, the QA Quantum Potential Interpretation is stated thus: Probability Signatures (quantum potential existing in 4 dimensional space-time) represent an infinite number of probability "equations" or equation components unique to specific particles/matter.
 

Probability Signatures are therefore:

    1. Unmeasureable using classical mathematical processes.

    2. Transactional (Cramer, John) …there are infinite probabilities that may interact to create a particle within a 4 dimensional space-time continum and thereafter 3 dimensional matter.

    3. Wave/particle symmetries (particles) that have formed from a pool (space time foam according to Thorne or more accurately the Planck Epoch) of probabilities.

More specifically, Probability Signatures represent a "quantum potential" interpretation that goes beyond precise, classical mathematical form. The probability signatures are the links between "existence and non existence" at the quantum level; the "mathematical singularities" that represent specific quark patterns.

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The Quantum Potential Interpretation

The QA Quantum Potential Interpretation (consisting of Probability Signatures and possible "Super String" like components, may be viewed thus:

Probability Signatures (probability potential equations):

1. Represent a "Quantum State" between existing and not existing of which the probabilities are "parts" of potential energy/matter states. There may be "common" sets (signatures) of probabilities that redundantly give rise to specific particles and/or energy/matter configurations.

2. Are the most basic stage of all existing reaction networks. At this stage particles are true "events" waiting to happen. Energy/matter (amount/availability) determines particle type and the duration of its life span. As such, this stages proceeds hadron reactions. Available energy and existing mathematical probabilities interact to create reaction channels (S-matrix theory) and the related resonances (short-lived hadron states) associated with hadron interactions.

3. May be representative of unique energy-probability combinations which give rise to hadron reactions and varied particle states. Perhaps multiple particles, which rise from the same unique energy-probability combination (Read Probability Signature here or perhaps a series of probability components which exist in a "string" configuration), can be unique to a particular animal, vegetable or mineral. In this way, there would be a probability "signature" for all existing particles and objects we see in our 3 dimensional world.

4. Are transactional by nature (Cramer) that is...there are infinite probabilities that must and do interact to create energy/matter. The transaction is characterized by a "reciprocal determination" among the "common" probability signatures much like the non-local systemic change predicted by the EPR Paradox.

5. Are representative of Wave/particle symmetries formed from the probability pool (space time foam) or more accurately the Planck Epoch of probabilities.

6. Are configurative in nature (Read "common"). The "signature" (a common string of probabilities) combined with the "transactional" effect of the wave function resides with the "non existing" 4 dimensional space-time continuum. At this point, the probability components are unverifiable (probability signatures would be undetectable within classical mathematical processes) but mathematically possible. A non-local connection initiates the particle state giving rise to matter as we know it.

7. Are potential mathematical descriptions of quantum state/systems and are related to…
 


The most critical component is the "Transactional" relationship between the unique (mathematically) probability components existing within the PS configuration.

  

Transaction: a one-to-one link between a unique probability in the non-existing mathematical interval and a unique probability within an existing mathematical interval.

  

Interval: a function independent of the 4 dimensional space-time coordinate system.

  

Imaginary: adding a fourth dimension to our 3 dimensional coordinate system creates an "imaginary" or new dimension of 3 dimensional space. Time, within this new 4 dimensional coordinate system, does not function in the same manner as it does within the 3 dimensional system in which we live.


The interaction (read transaction) between the unique probability components and within the unique probability configuration "initiates" a non-local connection (non-local because the link occurs between existing and non-existing probabilities within an infinite coordinate system).

The Transaction is predicated upon the fact that the specific components and the configuration have unique energy levels. This "reciprical" interaction combines energy (mathematical energy, more will follow regarding this) and probability within the imaginary mathematical interval. When the energy levels "match", unique probabilities and configurations initiate a connection and the wave function resolves into the energy/particle form. Consequently, it is the unique PS components and configurations and their unique reciprical relationships that allow for the transaction between non-existing and existing states within the mathematical interval.



 

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