scholarly journals Realism and causality. II. Retrocausality in energetic causal sets

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Eliahu Cohen ◽  
Marina Cortês ◽  
Avshalom C. Elitzur ◽  
Lee Smolin
Keyword(s):  
Causal Sets

scholarly journals On the Modal Aspects of Causal Sets

2019 ◽  
Vol 50 (6) ◽  
pp. 600-620
Author(s):  
Tomasz Placek
Keyword(s):  
Causal Sets

scholarly journals Towards spectral geometry for causal sets

2017 ◽  
Vol 34 (9) ◽  
pp. 094001 ◽  
Author(s):  
Yasaman K Yazdi ◽  
Achim Kempf
Keyword(s):  
Spectral Geometry ◽  
Causal Sets

scholarly journals Classical sequential growth dynamics for causal sets

1999 ◽  
Vol 61 (2) ◽  
Author(s):  
D. P. Rideout ◽  
R. D. Sorkin
Keyword(s):  
Growth Dynamics ◽  
Causal Sets

scholarly journals Order-Invariant Measures on Fixed Causal Sets

2012 ◽  
Vol 21 (3) ◽  
pp. 330-357 ◽  
Author(s):  
GRAHAM BRIGHTWELL ◽  
MALWINA LUCZAK
Keyword(s):  
Linear Extension ◽  
Invariant Measures ◽  
Natural Extension ◽  
Sufficient Conditions ◽  
Order Type ◽  
Probability Measures ◽  
Causal Sets ◽  
Natural Extensions ◽  
Countably Infinite ◽  
Order Invariant

A causal set is a countably infinite poset in which every element is above finitely many others; causal sets are exactly the posets that have a linear extension with the order-type of the natural numbers; we call such a linear extension a natural extension. We study probability measures on the set of natural extensions of a causal set, especially those measures having the property of order-invariance: if we condition on the set of the bottom k elements of the natural extension, each feasible ordering among these k elements is equally likely. We give sufficient conditions for the existence and uniqueness of an order-invariant measure on the set of natural extensions of a causal set.

scholarly journals The Structure of Causal Sets

2012 ◽  
Vol 43 (2) ◽  
pp. 223-241 ◽  
Author(s):  
Christian Wüthrich
Keyword(s):  
Causal Sets

Discrete quantum gravity and causal sets

2001 ◽  
Vol 79 (1) ◽  
pp. 1-16 ◽  
Author(s):  
D D Reid
Keyword(s):  
Quantum Gravity ◽  
High Energy Physics ◽  
Causal Structure ◽  
High Energy ◽  
Research Community ◽  
Small Scale ◽  
Causal Sets ◽  
Important Approach ◽  
Nonrelativistic Quantum Mechanics ◽  
Energy Physics

This paper provides a thorough introduction to the physical and conceptual need for a theory of quantum gravity; some knowledge of general relativity and nonrelativistic quantum mechanics is assumed. A theory of quantum gravity would have wide-ranging implications for high-energy physics, astrophysics, and cosmology. The paper goes on to describe an important approach to quantum gravity that is not well known outside of the quantum gravity research community — causal sets. The causal-set approach falls within the framework of discrete quantum gravity, which considers the possibility that the small-scale structure of spacetime might be discrete rather than continuous. Herein, I elucidate the arguments for why a discrete causal structure might be appropriate for a theory of quantum gravity. The logical and formal development of a causal-set theory as well as a few illuminating examples are also provided. PACS Nos.: 04.60-m, 04.60Nc

scholarly journals Scalar field Green functions on causal sets

2017 ◽  
Vol 34 (12) ◽  
pp. 124002 ◽  
Author(s):  
Nomaan X ◽  
Fay Dowker ◽  
Sumati Surya
Keyword(s):  
Scalar Field ◽  
Green Functions ◽  
Causal Sets
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