The Philosophical Foundations of the Entanglement Theorem
Bridging Science and Philosophy
FoS Entanglement Theorem is dedicated to advancing the philosophical discourse surrounding Wolfgang Smith’s Entanglement Theorem. This theorem suggests that phenomena such as quantum entanglement are rooted in the fundamental wholeness of nature rather than separable particles. We investigate the ontological significance of these ideas, challenging the prevailing atomistic paradigm. Our programmes include lectures, publications, and seminars designed to foster a deeper understanding of the interconnected fabric of reality. By integrating scientific insights with philosophical inquiry, we seek to inspire a paradigm shift in how the universe is comprehended.
Royal Swedish Academy of Sciences
Nobel Physics Prize 2022
✅ 1. Entanglement as Non‑Separable, Single‑System Behaviour Across Distance
Schrödinger on non‑separability
“When two systems… enter into temporary physical interaction… and when after a time of mutual influence the systems separate again, then they can no longer be described in the same way as before, viz. by endowing each of them with a representative of its own… By the interaction the two representatives… have become entangled.”
This is the Committee’s foundational statement: after separation, the parts no longer have independent states.
✅ 2. The EPR Argument: Correlations Between Separated Systems
Einstein–Podolsky–Rosen (1935)
“Einstein, Podolsky and Rosen… argued that quantum mechanics does not provide a complete description of physical reality.”
The Committee then summarises the EPR logic:
“Discussion of probability relations between separated systems…”
This is the formal origin of the “correlation at a distance” problem.
✅ 3. Bell’s Insight: Correlations Stronger Than Any Local Theory Allows
Bell’s theorem as the decisive test
“Bell showed that if hidden variables exist, the experimental results would obey a mathematical inequality. However, quantum mechanics can violate this inequality.”
Physics
This is the Committee’s clearest statement that quantum correlations exceed anything possible under local causality.
✅ 4. Spacelike Separation: No Signal, No Influence, Yet Correlation
Although the Scientific Background does not use the phrase “spacelike separation” explicitly from our research, it does state the essential physical content:
Quantum mechanics predicts correlations without any signal
“If Alice measures her particle, then she learns something about Bob’s particle—as if her measurement instantaneously changed the uncertainty* about the state of his particle.”
Einstein’s objection
“To avoid such ‘spooky action at a distance’, Einstein proposed… hidden variables…”
This is the Nobel Committee’s own articulation of the paradox:
measurement here changes knowledge there, without any physical influence.
✅ 5. The Committee’s Explicit Statement of the Quantum Prediction
Non‑local correlations stronger than any classical model
“Quantum mechanics predicts higher values for the correlation between the results than is possible through hidden variables.”
NobelPrize.org
This is the formal statement that quantum correlations exceed all local‑realist bounds.
✅ 6. Entanglement as a Single Extended System
The key conceptual statement
“A pure quantum state is entangled means that it is not separable.”
NobelPrize.org
This is the Committee’s technical definition:
entangled systems behave as one system, even when spatially separated.
