Particle Entanglement with the Observer’s Polarized Dual Consciousness A Modiﬁed Stern Gerlach Experiment, as proof

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Introduction
As the polarization from recursive information exchange translates across scales of human conscious, ranging from neurological decision making to global information exchange, it's reasonable to assume that it also plays a fundamental role in quantum decoherence.I ask you to consider how ubiquitous positive reinforcement loops and power-law distributions are in nature.In particular, how recursive information exchange (within the framework of reinforcement loops) translates across scales, ranging from local, regional, national, and global.However prior to any initial local exchange of information, there first exists an exchange within the conscious decision making of an agent, at the neurological scale.For example.The "Archduke Ferdinand moment" was not initiated by the pull of a trigger.The initial state began at the neurological scale, within the dual opposing consciousness of the assassin.So the Classic Space sequence of information exchange escalated through successive scales of: neurological, local, regional, National and global The conjecture in this article uses a formal working hypothesis: Hypothesis 1 A dual and opposing consciousness exists within the mind of the single observer (per studies on post corpus callosotomy patients.[2]).During the process of particle observation, a positive feedback loop of recursive information exchange (RIE) occurs between these dual and opposing conscious operations.This dynamic process follows a recurring and escalating sequence (of biased observation, interpretation, response and self-validation), with an associated decease in Shannon entropy and an increase in potential energy, resulting in the polarization of the observer's dual consciousness to a single state.Subsequently the observed particle, which exists in superposition becomes polarized / entangled in correspondence with the observer's polarizes state, along with the local environment and subsequent remote environment.This emergence of a single polarized state (of spacetime), from a mixed superposition state is the essential process which results in quantum decoherence.
A simple inexpensive modified Stern Gerlach experiment is proposed as proof of a high Pearson R correlation between the observer's dual consciousness and the particle orientation.

The Two States Experiments are Explained by the Entanglement of Observer and Particle
The reason that the observer can not explain the logical inconsistencies of the "Two States Experiments" [3] is because the observer undergoes a profound change during each validation (I prefer to use validation, instead of "observation" or "measure", as it's more useful), such that the observer's opposing dual consciousness becomes polarized, through a sequence of recursive information exchange, that results in lower entropy, higher potential energy, and collapses to a single validated state (unconscious to the single observer).Subsequently, the particle becomes polarized and entangled with this single validated state (and subsequent local and remote environments).Figure 1 shows the three stage sequence of x → y → x axis orientations and resulting percentages of possible binary states of angular momentum.Note: conjecture to follow Notice that for each observation (validation) the observer's opposing dual consciousness collapses to one of two potential states, then repeats with each orthogonal orientation.The following sections provide mathematical support for this proposal, with a Classic Space analogue to Quantons.

An Analogy Between Polarization in Classic Space and Quantum Decoherence Recursive Information Exchanges in Classic Space (Entropy Decreases and Potential Energy Increases)
Universal set U contains ten agents as noted: U | {a 1 , a 2 , a 3 , a 4 , a 5 , a 6 , a 7 , a 8 , a 9 , a 10 } ∈ U figure 2 shows the discrete probability graph of set U at initial state f i , along with it's associated information (I (a i )) and Shannon entropy (H (X )): [4] Using a modified version of Shannon entropy for convenience, Mod i f i ed ver si on o f ent r op y equat i on : At initial iteration f i , the distribution is uniform with high entropy of H (x) = 3.322.However in the natural world, recursive information exchange tends to result in variance and division.Thus, subsequent iterations tend to transition to a bimodal distribution of two subsets A and B : A and B ⊆ U , and lower associated entropy (see figure 3).

How Distributions Become Separated over Recursive Iterations of Information Exchange
The diagram in figure 4 shows the flow of incremental recursive information exchanges, within the framework of positive reinforcement loops.The observational components (of bias, interpret, response and validation) are mutually mirrored between agents A and B , and follow a figure eight pattern.Typically, divisions tend to escalate over time in this format.A real world example might be the polarization which occurs during dysfunctional political rivalry.

Self-Validation of Subjective Observation
The separation ǫ escalates between the agents in subsets A and B during each iteration, as a result of oppositional dynamics (biased interpretations and responses from opposing perspectives).Note that their mutual responses only seem to validate their interpretation.However, the outcome is merely confirmation bias.In other words, their subjective observations are selfvalidated.This concept of self-validation is referenced in section 4, as it relates to validation in Quantum Decoherence.

How Separation ∆ǫ Increases over Iterations
Subsequent iterations follow the same sequence, and result in an incremental positive feedback loop.As separation escalates over iterations, ∆ǫ increases exponentially with each iteration ( f n ), per the following differential equation and exponential solution.Note, that interpretations become increasingly distorted over iterations.This is demonstrated in the children's game "Chinese Whispers", [5] where an original message becomes unrecognizable, after multiple recursive information exchanges between players of the game,

Critical Stage of Interation f i Power-law Distributions
Per the law of preferential attachment, a power-law distribution (a functional relationship between two quantities, where a relative change in one quantity results in a relative change in the other quantity proportional to a power of the change, independent of the initial size of those quantities: one quantity varies as a power of another) will develop.Power-laws occur ubiquitously throughout nature.Some obvious real-world examples are: The largest trees tend to dominate to sun rays, and thus grow at proportionately higher rates.The most massive planets in a stellar system attract more space debris, and thus grow at proportionately higher rates.
The discrete probability graph in figure 5 is approaching a power-law distribution, with a much lower entropy of H (x) = 2.818.Of course, distributions of individual sets of agents will vary.

Asymptotic Entropy of Open Systems with Power-law Distributions
At a critical Gini coefficient, power-law distributions tend to collapse and then reform.Some real world examples include: The collapse of stars (capable of becoming nova) act as a catalyst to the birth of new stars in a nebula system.The sinusoidal economic cycles, between growth and recession.Note, that such systems tend to maintain their ordered state asymptotically in an open system, regardless of the universal direction of entropy.

Collapse stage f f i n
Figure 6 shows a power-law distribution approaching maximum Gini coefficient.Again, per the law of preferential attachment, a power-law distribution will develop in the form of: if we regard random information exchange to be connections between nodes, k = connect i ons p = t he pr obabi l i t y o f a an i sol at ed r and om connect i on

he pr obabi l i t y pr opor t i onat e t o accumul at i ng connect i ons C = f r act i on o f nod es L = t he f r act i on o f nod es wi t h connect i ons t hen,
Note: As the Gini coefficient of a power-law distribution increases to maximum, the entropy approaches zero.This final stage can be regarded as a collapse, which is analogous to the transition from positive to the zero state in Von Neumann entropy.

H (X ) → 0 as G → max
Potential Energy Increases Note: As entropy H (x) goes to zero, potential energy U goes to maximum This gain of potential energy, from negentropy is real in classic space, if you consider how a Demagogue divides and polarizes a population, then uses the doped energy within this divided population to suit his own purposes U → max as H (X ) → 0

Polarization Emerges, Becomes Entangled, and Escalates
Figure 7 shows Classic Space polarization over iterations f n .This natural result is commonly observed between polar opposites (political, etc).It's important to note that polarization becomes entagled with it's local environment and subsequently escalates over scales (neurological decisions, local, regional, national, global) in the natural world The probability of negentropy P (J ) of a set is proportionate to it's polarization | → 〉, over recursive information exchanges, Where k is a constant or proportionality

Information as Energy
An experiment in 2010, by a team of Tokyo scientists, [6] demonstrated that a non-equilibrium feedback manipulation of a Brownian particle on the basis of information about its location achieves a Szilárd-type [7] information-to-energy conversion, using real-time feedback control.In thermodynamics, the Jarzynski equality [8] (free energy difference) ∆F = F B − F A ∆F = F B − F A between two states A and B is connected to the work W done on the system through the inequality: ∆F ≤ W ∆F ≤ W .In microscopic systems, thermodynamic quantities such as work, heat and internal energy do not remain constant but fluctuate.Nonetheless, the second law [9] still holds, on average, if the initial state is in thermal equilibrium: 〈∆F − W ≤ 0〉, where ∆F is the free-energy difference between states, W the work done on the system and 〈 * 〉 the ensemble average.However, the feedback control enables selective manipulation of specific fluctuations that cause ∆F − W > 0, by using the information about the system.The feedback control can increase the likelihood of occurrence of such an event.This is the crux of the control in the thought experiment: "Maxwell's Demon".[10] Thus, it is concluded that the particle is driven by the 'information' gained by the measurement of the particle location.

The Measurement Problem
In quantum mechanics, a matter wave collapses as it interacts with a macroscopic photographic plate, seemingly at the point where an intelligent agent observes the plate.[11] This seems to defy a logical explanation, as the matter wave is in a superposition of several eigenstates and evolves deterministically, yet the resulting single eigenstate is determined by the state at the point of interaction (measurement).For any observable, the wave function is initially some linear combination of the eigenbasis {|φ i 〉}{|φ i 〉} of that observable.When an external agency (an observer, experimenter) measures the observable associated with the eigenbasis {|φ i 〉}{|φ i 〉}, the wave function collapses from the full |ψ〉|ψ〉 to just one of the basis eigenstates, The Key to the Measurement Problem: Two Minds of Observation in the Single Observer.Neuroscience has theorized the duel (two minds) model of the human brain from research on post-surgery consciousness of split-brain patients.[2] Following surgery, these two minds are typically opposing, such that both minds simultaneously perform opposing functions (see figure 8).
Thus, Hypothesis 1 implies the following, in the Measurement Problem, • The observer's opposing dual consciousness exchange information about the particle being observed, and follow an essentially similar process (components of bias, interpret, response and validation) as the figure 8 flow diagram shown in figure 4.
• The collapsed state corresponds to either a "spin up" or "spin down" state.

↑↓
• The evolution of a particle in the wave function is actually deterministic.However, the single measurable result (eigenvalue) λ n is in correspondence with the polarized state of the observer's dual consciousness | < 〉, for the measurable Ĥ of of the measured state |a n 〉, in the Hermitian equation, Such that the observer's polarized dual conscious is entangle with • This entanglement, between both the observer and particle, provides the missing deterministic feature, which Einstein objected to, as being "incomplete" in his equation, where he concludes that the entanglement of two particles, which are widely summed, can not be divided into two separated wave functions.Can be expressed as, • This process of exchange between the observer's dual consciousness occurs instantaneously to the single observer, who is unaware of the subconscious dynamics.
• Hypothesis 1 can be experimentally verified, by demonstrating a correspondence between the observer's dual consciousness, the observer and the local environment, at any single moment.(See section 5).

Proposed Experiment to Prove that Decoherence is Influenced by the Polarized State of the Observer
An entanglement between the polarized observer's dual consciousness and the particular angular momentum of an electron, implies a correspondence with the observer, particle and local environment, at any single moment.Thus, a statistical correlation can be demonstrated between two independent detector systems, as viewed by a single observer.The following experimental is proposed, as empirical evidence of observer influenced particle collapse, to a measurable state (figure 9), • Two parallel Stern Gerlach [12] electron deflector systems (a and b) emit respective single unpaired electrons (e a and e b ), at regular intervals through an inhomogeneous magnetic field, toward their respective detector screens (d a and d b ).
• The two separated and parallel electrons (e a and e b ) are emitted in sync, such that they strike their respective screens (virtually) simultaneous.
• A single observer is oriented to view both detector screens (d a and d b ), with the following constraints, • Detector d a is viewed exclusively, by the observer's left field of vision, and detector d b is viewed exclusively, by the observer's right field of vision.
• The null hypothesis would expect a weak correlation of ± ≤ R 0.3, between the two systems spins.A reasonable sample size might be 500 unpaired electrons.
• A correlation value of ≥ ±R 0.5 would demonstrate a significant observer influenced particle bias.If proven, deterministic particle evolution would be of great benefit to science, and the field of Quantum Mechanics, in particular.

Conclusion
Recursive information exchange and the resulting low-entropy power-law distributions, are ubiquitous in Classic Space.As RIE translate across scales of human conscious, ranging from neurological decision making to global information exchange, it's reasonable to assume that they also play a fundamental role in quantum decoherence.Hypothesis 1 suggests that matter which is separated in R 3 spatial dimensions is actually connected in within a higher R 4 dimensional space, which provides a basis for entanglement at a remote distance.Conceivably, it could provide a radically alternate model of gravity as a repellent force of separation.

Novel Insights and Contributions
The particular Novel contributions and insights of this article, and how they build upon my previous article is itemized below: • In the Introduction, The hypothesis is introduced, with an emphasis on the concept of scales; Recursive information exchange translating from an initial state of neurological decision to global information exchange.The "Archduke Ferdinand moment" is used as an example.
• In addition to relevancy in the "Measurement Problem", section 2 describes relevance to the "Two States Experiments", clearly described in figure : 1.

Figure 1 :
Figure 1: Two States Experiment, with three stages of x, y, x axis orientations and resulting percentages of possible binary states.

Figure 3 :
Figure 3: Discrete probability graph transitioning to a bimodal distribution

Figure 4 :
Figure 4: Division develops within positive feedback reinforcement loops, of recursive information exchange

Figure 5 :
Figure 5: Discrete probability graph transitioning to a power-law distribution

Figure 6 :
Figure 6: As the Gini coefficient of a power-law distribution increases to maximum, the entropy approaches zero.

Figure 7 :
Figure 7: Polarization tends to emerges in the natural world (classic space) over iterations f n

Figure 8 :
Figure 8: Split Brain Patients Lateralization two separate streams of consciousness

Figure 9 :
Figure 9: Modified Stern Gerlach experiment to demonstrate a correlation between quantized electron states, and the polarized dual consciousness of the observer.