Summary of idea (plain language):
We propose that entanglement-like correlations can be produced by
preparing two systems so that three hierarchical constraint layers are aligned. Those layers are:
- (geometric layer) the relative geometry and alignment of the systems;
- (material layer) the internal microstate stability and isolation of each system;
- (informational layer) the pre-encoded correlation pattern (a logical/topological constraint shared by the two systems).
When these three layers are prepared to satisfy a global consistency condition (we denote it by a function (f)), the systems become
informationally linked: measuring one immediately constrains the other. This happens without any dynamic exchange of energy or signal between them. The effect is operationally like entanglement and can be expressed and tested statistically (mutual information, non-separability witnesses). The attached papers give formal definitions, a toy constructive model (Gaussian oscillator network with a mediator used only during preparation), and experimental protocols. But here I give the essentials so you can debate the logic and feasibility without opening the papers.
Key definitions (forum version):
- Let a configuration be the full prepared description of both systems (geometry, microstate control, informational encoding).
- Define (f(\text{configuration})) = 1 if the prepared configuration imposes global constraints that reduce the accessible joint state space so the joint distribution cannot factorize into independent local states; otherwise (f=0).
- Claim: if (f=1) and experimental controls rule out classical communication, the measured correlations between the two systems will be statistically incompatible with independent local descriptions.
What we have (concrete, testable claims):
- A structural criterion (the (f) condition) that is necessary and sufficient (within the model) for non-factorizability of the joint state.
- A toy constructive protocol showing how to produce a joint state with nonzero mutual information and positive logarithmic negativity in a Gaussian realization (oscillators + mediator used only during preparation).
- A minimal experimental recipe (below) to attempt a macroscopic implementation and a list of control experiments that falsify classical explanations.
Minimal experimental protocol (explicit):
- Preparation phase (shared history): prepare A and B together (shared preparation steps) so they are created/initialized by the same sequence that imposes the ΔL constraint (for example: common signal that sets a parity constraint across internal subsystems).
- Isolate: decouple A and B physically; ensure no remaining mediating channels (EM, acoustic, mechanical).
- Stabilize microstates (ΔM): cool/reduce vibrations, hold internal degrees within chosen tolerance.
- Fix geometry (ΔC): place A and B in the pre-specified relative alignment and boundary conditions required by the encoding.
- Measurement: independently measure appropriately chosen local observables (X_A(t)), (X_B(t)) many times to gather joint statistics.
- Control runs: break ΔL (randomize the code), perturb ΔC beyond tolerance, or increase coupling to environment — this should remove the effect.
What to look for (observable signature):
- Persistent, statistically significant correlations between (X_A) and (X_B) (mutual information above calibrated noise threshold), which disappear when ΔL or ΔC are destroyed.
- The effect must be non-signalling: no dependence of local outcome distribution on remote measurement choice (we do not claim controllable signalling).
- The signature is statistical (many repetitions), not a single dramatic macroscopic event.
Why this is not “classical hidden variable” or signalling:
- The proposal describes a restriction of the allowed global histories/states due to preparation, not a dynamical signal after separation.
- It fits the requirement of no-signalling because local marginal statistics remain unchanged by remote measurement choices; only joint statistics reveal the correlation.
- In quantum formal terms the proposal maps to creating a non-separable joint state by preparation, but the emphasis here is on preparation as a global constraint rather than a particular Hamiltonian interaction persisting after separation.
Concrete toy diagnostic tools:
- Classical mutual information (I(X_A:X_B)) and cross-correlation spectra.
- For Gaussian realizations: compute covariance matrix and test logarithmic negativity (partial transpose criterion).
- Statistical tests: permutation tests, bootstrap confidence intervals, and control runs with broken ΔL to exclude common-cause artifacts.
Specific questions for the forum (please answer any you can):
- Theoretical consistency: do you see a formal inconsistency with Bell’s theorem or relativity if the effect is non-signalling and produced solely by preparation constraints? (Short answer I expect: no inconsistency if no-signalling holds; please elaborate.)
- Known precedents: are there existing papers or experiments that formulate entanglement explicitly as a global constraint on accessible histories (not just a global vector in Hilbert space)? If so, point me to them.
- Experimental platforms: which platforms (optomechanics, superconducting circuits, trapped macroscale oscillators, spin ensembles) would you recommend to build a faithful toy experiment that implements ΔC/ΔM/ΔL at the mesoscopic scale? Practical reasons please (decoherence, controllability).
- Statistical design: any recommendations for robust statistical tests and control designs that convincingly rule out subtle classical common-cause explanations?
- Concrete objections: if you think the proposal is fundamentally flawed, please state the precise step (definition of (f), the preparation step, the non-signalling requirement, or the expected statistical signature) so I can respond carefully.
Practical note: I have eight supporting files with derivations, toy-model calculations and suggested parameter ranges. I included them for reference, but my priority here is to get a focused, technical discussion on the points above. If useful, I will paste a short excerpt (one figure and one paragraph) directly into this thread.
Thank you for your comment. Let me clarify. In the work I am presenting, entanglement—both microscopic and macroscopic—does not rely on motion or energy exchange. This is intentional: I am distinguishing it from forms of retrocausality that require dynamic interactions along worldlines.
Here, the correlations emerge from pre-existing informational configurations encoded in the “matrioska” layers (geometry, material microstates, and informational structure). The systems are aligned such that these constraints alone produce measurable correlations—effectively a retrocausal entanglement—without any physical transfer of energy or movement.
So, while conventional quantum entanglement is usually considered instantaneous and microscopic, this model extends the same principle to macroscopic systems via informational and geometric pre-alignment, showing that correlations can emerge purely from configuration.
zenodo.org
I’m eager to hear your thoughts on:
