Originally posted by Dilip Panjwani
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i find your comments on determinism and science to be very interesting. Imagine two coins flipped simultaneously. Even if separated by a vast distance, if they always land with matching sides (both heads or both tails), you'd suspect some hidden connection between them. This is analogous to entanglement in the quantum world. Entangled particles exhibit a bizarre correlation – measuring one instantly determines the state of its distant partner, seemingly defying notions of distance and time.
To explain this weirdness, pilot wave theory proposes that particles are guided by an invisible wave carrying "hidden variables" – instructions that predetermine their behavior. Imagine the coins having tiny markings only visible under a special light. Those markings would dictate how they land, removing true randomness from the outcome.
The problem is that entanglement suggests these hidden instructions change instantly across distances, coordinating the entangled particles' behavior. This leads to a potentially troubling idea called superdeterminism. If everything is preprogrammed from the universe's beginning by hidden variables, it implies our choices aren't truly free. Imagine not just the coins, but our own decisions about how to measure the particles were predetermined. This challenges our intuitive understanding of cause and effect.
The alternative to the pilot wave theory, the "standard model", does not even address this idea that when one entangled particle is observed, even if the other particle is lightyears away, it instantaneously does the exact opposite of the observed particle, seemingly at speeds faster than light violating the special theory that imposes a cosmic speed limit of the speed of light. It does not explain how this is possible; it simply acknowledges this strange fact without explanation.
My partner in life, science, and business developed an interesting physics hypothesis while skipping stones across a pond at the famous Mount Royal in Montreal. Together, we worked on writing it up formally as well as an experiment to validate the hypothesis physically.
In quantum physics, entangled particles exhibit a seemingly impossible connection – changes to one particle can instantaneously affect its partner, even across vast distances. This phenomenon appears to violate Einstein's theory of relativity, which posits the speed of light as the cosmic speed limit. We propose a new model and experimental validation, introducing hidden wave structures and the disruptive influence of decoherence to explain this strange behavior while adhering to relativistic constraints.
A Nested Wave Model for Quantum Non-locality: Reconciling with Special Relativity
By Sidney H Belzberg and Alicia Belzberg
Abstract
We propose a nested wave model to address this nonlocal behavior without abandoning the fundamental principles of relativity. Our model introduces a hidden wave structure (Wave 2) interacting with conventional wavefunctions (Wave 1). As entangled particles separate by significant distances, new nested wave structures emerge within Wave 2 to mediate seemingly non-local entanglement effects. Importantly, quantum decoherence, increasing with distance, could disrupt the coherence of the Wave 2 structures. Decoherence introduces increasing "noise" into the Wave 2 system, potentially causing a delay as the entanglement signal must overcome this disruption over increasing distances. Rather than hindering entanglement, this disruption offers a potential mechanism for explaining a minuscule delay in the observed non-locality.
Mathematically, we model this process with a modified Schrödinger equation containing nested terms whose interactions scale as a function of separation distance and entanglement severity ('η'). Additionally, we introduce an exponential decoherence term, dependent on distance ('d'), to account for the potential degradation of nested wave interactions. We include a theoretical limit informed by the speed of light as a critical threshold for generating new nested wave structures:
i∂Ψ(x,t) / ∂t = [−ℏ² / 2m ⋅ ∇² + V(x) + Σ{ki f(η, ai(d), c) Φi(x,t)} + β * e^(-kd) * Ψ(x,t)] Ψ(x,t)
Here, 'c' is a proxy for the speed-of-light limit in nested wave generation dynamics. Individual nested waves ('Φi') possess scale factors ('ai') exhibiting distance ('d') and entanglement dependency through 'f(η).' Notably, the inclusion of parameter 'c' directly reflects the model's focus on a nested wave system that respects relativistic constraints for each interacting level within Wave 2."
This model aims to provide a mathematically sound approach to understanding entanglement within the constraints of Special Relativity. This novel nested wave paradigm opens new avenues for investigating a model that explains non-locality within the context of respecting special relativity, hence offering a complete standard model.
We propose a lab-scale experiment to test this model. Entangled photons will be measured at two distances with high-precision atomic clocks, seeking a consistent but minuscule delay in correlation times at the further distance. If observed consistently, this infinitesimal delay supports our nested wave hypothesis. Conversely, the absence of a consistent subtle infinitesimal delay would corroborate the instantaneous action-at-a-distance interpretation of the Standard Model.
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