# Symmetric Derivation of the Singlet Correlations within a Quaternionic 3-sphere

@inproceedings{Christian2022SymmetricDO, title={Symmetric Derivation of the Singlet Correlations within a Quaternionic 3-sphere}, author={Joy Christian}, year={2022} }

We present a symmetric derivation of the strong correlations predicted by the entangled singlet state in a local-realistic model in which the physical space is assumed to be a quaternionic 3-sphere, or S 3 , available as the spatial part of a solution of Einstein’s ﬁeld equations of general relativity, and compare it with Bell’s local model for the singlet correlations set within a ﬂat Euclidean space IR 3 . Since the probabilities of observing measurement outcomes for Bell’s local model have…

## One Citation

### Local origins of quantum correlations rooted in geometric algebra

- Mathematics
- 2022

In previous publications I have proposed a geometrical framework underpinning the local, realistic, and deterministic origins of the strong quantum correlations observed in Nature, without resorting…

## References

SHOWING 1-10 OF 17 REFERENCES

### Quantum correlations are weaved by the spinors of the Euclidean primitives

- MathematicsRoyal Society Open Science
- 2018

The resulting geometrical framework thus overcomes Bell’s theorem by producing a strictly deterministic and realistic framework that allows a locally causal understanding of all quantum correlations, without requiring either remote contextuality or backward causation.

### Local origins of quantum correlations rooted in geometric algebra

- Mathematics
- 2022

In previous publications I have proposed a geometrical framework underpinning the local, realistic, and deterministic origins of the strong quantum correlations observed in Nature, without resorting…

### Bell’s Theorem Versus Local Realism in a Quaternionic Model of Physical Space

- PhysicsIEEE Access
- 2019

A local, deterministic and realistic model within a Friedmann-Robertson-Walker spacetime with a constant spatial curvature that describes simultaneous measurements of the spins of two fermions emerging in a singlet state from the decay of a spinless boson is presented.

### Dr. Bertlmann’s Socks in a Quaternionic World of Ambidextral Reality

- PhysicsIEEE Access
- 2020

This pedagogical paper considers how singlet correlations between a pair of entangled fermions can be understood as classically as those between Dr. Bertlmann’s colorful socks within a toy model and a real world of three-dimensional quaternionic sphere.

### Failure of Bell's Theorem and the Local Causality of the Entangled Photons

- Physics, Mathematics
- 2010

A counterexample to Bell's theorem is presented which uses a pair of photons instead of spin-1/2 particles used in our previous counterexamples. A locally causal protocol is provided for Alice and…

### ON THE EINSTEIN PODOLSKY ROSEN PARADOX*

- Physics
- 2017

THE paradox of Einstein, Podolsky and Rosen [1] was advanced as an argument that quantum mechanics could not be a complete theory but should be supplemented by additional variables. These additional…

### Hamilton, Rodrigues, and the Quaternion Scandal

- Mathematics
- 1989

The invention of the calculus of quaternions is a step towards the knowledge of quantities related to space which can only be compared, for its importance, with the invention of triple coordinates by…

### Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment : A New Violation of Bell's Inequalities

- Physics
- 1982

The linear-polarization correlation of pairs of photons emitted in a radiative cascade of calcium has been measured. The new experimental scheme, using two-channel polarizers (i.e., optical analogs…

### Planck evidence for a closed Universe and a possible crisis for cosmology

- PhysicsNature Astronomy
- 2019

The recent Planck Legacy 2018 release has confirmed the presence of an enhanced lensing amplitude in cosmic microwave background power spectra compared with that predicted in the standard Λ cold dark…

### Geometric Algebra for Physicists

- Mathematics, Physics
- 2003

Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with…