scholarly journals Invariant Set Theory: Violating Measurement Independence without Fine Tuning, Conspiracy, Constraints on Free Will or Retrocausality

2015 ◽  
Vol 195 ◽  
pp. 285-294
Author(s):  
Tim Palmer
Keyword(s):  
Free Will ◽  
Set Theory ◽  
Invariant Set ◽  
Fine Tuning ◽  
Measurement Independence

scholarly journals Superdeterministic hidden-variables models I: non-equilibrium and signalling

2020 ◽  
Vol 476 (2243) ◽  
pp. 20200212
Author(s):  
Indrajit Sen ◽  
Antony Valentini
Keyword(s):  
Free Will ◽  
Experimental Observation ◽  
Physical System ◽  
Hidden Variables ◽  
Fine Tuning ◽  
Common Criticism ◽  
Hypothetical Scenario ◽  
Actual Signal ◽  
Non Equilibrium

This is the first of two papers that attempt to comprehensively analyse superdeterministic hidden-variables models of Bell correlations. We first give an overview of superdeterminism and discuss various criticisms of it raised in the literature. We argue that the most common criticism, the violation of ‘free-will’, is incorrect. We take up Bell’s intuitive criticism that these models are ‘conspiratorial’. To develop this further, we introduce non-equilibrium extensions of superdeterministic models. We show that the measurement statistics of these extended models depend on the physical system used to determine the measurement settings. This suggests a fine-tuning in order to eliminate this dependence from experimental observation. We also study the signalling properties of these extended models. We show that although they generally violate the formal no-signalling constraints, this violation cannot be equated to an actual signal. We therefore suggest that the so-called no-signalling constraints be more appropriately named the marginal-independence constraints. We discuss the mechanism by which marginal-independence is violated in superdeterministic models. Lastly, we consider a hypothetical scenario where two experimenters use the apparent-signalling of a superdeterministic model to communicate with each other. This scenario suggests another conspiratorial feature peculiar to superdeterminism. These suggestions are quantitatively developed in the second paper.

Application of Invariant Set Theory to

1992 ◽  
Vol 23 (8) ◽  
pp. 2091-2103 ◽  
Author(s):  
Stuart Brown ◽  
John Wlassich
Keyword(s):  
Set Theory ◽  
Invariant Set

Signaling and Measurement Dependence

2019 ◽  
pp. 142-156
Author(s):  
Valerio Scarani
Keyword(s):  
Fine Tuning ◽  
Related Notion ◽  
No Signaling ◽  
Measurement Independence

This last chapter studies the relaxation of the conditions of no-signaling and measurement independence. For signaling models, after stressing the need for fine-tuning, it is shown that the speed of the hypothetical influence cannot be finite. For measurement dependence, the tolerable amount is discussed, and the related notion of randomness amplification is introduced.

scholarly journals The Quantum Entanglement Roots of Newton’s Gravitational Inverse Square Law Via E-Infinity Platonic Transfinite Set Theory

2020 ◽  
pp. 1-4
Author(s):  
Mohamed S. El Naschie
Keyword(s):  
Quantum Entanglement ◽  
Set Theory ◽  
Particle Physics ◽  
Early Stage ◽  
Number System ◽  
High Energy ◽  
Fine Tuning ◽  
Inverse Square Law ◽  
Elementary Particle Physics

Using the E-infinity Cantorian spacetime formalism, i.e. transfinite platonic set theory, we show that Newton’s gravitational inverse square law strictly implies quantum entanglement and visa versa to the extent that they are derivable from each other. Noting that the same inverse square law is quasi generic for electrical and magnetic field the unifying role of the Cantorian spacetime of E-infinity becomes evident. The implication and generalization of the above will be explored but its ramifications within physics and beyond is not easily assessed at this early stage of what may amount to a paradigm shift prompted by the simple but very effective golden mean number system, which was suspected recently of being the rationale behind the fine tuning of the universe and the standard model of high energy elementary particle physics.

Sign in / Sign up

Export Citation Format

Share Document