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Contrary to what is often stated, a fundamental spacetime discreteness need not contradict Lorentz invariance. A causal set's discreteness is in fact locally Lorentz invariant, and we recall the reasons why. For illustration, we introduce a…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Fay Dowker , Joe Henson , Rafael D. Sorkin

Much of our experiments are designed to uncover the cause(s) and effect(s) behind a data generating mechanism (i.e., phenomenon) we happen to be interested in. Uncovering such relationships allows us to identify the true working of a…

Machine Learning · Computer Science 2023-07-11 M. Z. Naser

Observational cosmology is on the verge of new discoveries that will change the essence of our world-view. The matter concerns origin of initial conditions and physics of dark matter.

Astrophysics · Physics 2010-11-11 V. Lukash

It is shown that the theory of causal fermion systems gives rise to a novel mechanism of baryogenesis. This mechanism is worked out computationally in globally hyperbolic spacetimes in a way which enables the quantitative study in concrete…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Felix Finster , Maximilian Jokel , Claudio F. Paganini

Time has always played a crucial role in cosmology. I review some of the aspects of the present cosmological model which are more directly related to time, such as: the definition of a cosmic time; the existence of typical timescales and…

History and Philosophy of Physics · Physics 2017-03-22 A. Balbi

It is often claimed that one cannot locate a notion of causation in fundamental physical theories. The reason most commonly given is that the dynamics of those theories do not support any distinction between the past and the future, and…

History and Philosophy of Physics · Physics 2022-04-15 Porter Williams

Complexes and cohomology, traditionally central to topology, have emerged as fundamental tools across applied mathematics and the sciences. This survey explores their roles in diverse areas, from partial differential equations and continuum…

Numerical Analysis · Mathematics 2025-10-21 Kaibo Hu

All physical process are subject to some laws which determine with math accurately its time-space evolution. These laws are described, in the last analysis for the principle of causality. The physical space can be homogeneous or…

General Physics · Physics 2007-05-23 Enrique Ordaz Romay

The Kalam cosmological argument, of a metaphysical nature, asserts that the universe had a first cause. This study examines the compatibility of its premises through a bibliographic review of advancements in contemporary physics. Quantum…

History and Philosophy of Physics · Physics 2025-04-15 Carlos Desa

It was recently suggested that causal structures are both dynamical, because of general relativity, and indefinite, due to quantum theory. The process matrix formalism furnishes a framework for quantum mechanics on indefinite causal…

Quantum Physics · Physics 2018-03-28 Esteban Castro-Ruiz , Flaminia Giacomini , Časlav Brukner

Machine Learning explainability techniques have been proposed as a means of `explaining' or interrogating a model in order to understand why a particular decision or prediction has been made. Such an ability is especially important at a…

Machine Learning · Statistics 2022-02-28 Matthew J. Vowels

Causality is a non-obvious concept that is often considered to be related to temporality. In this paper we present a number of past and present approaches to the definition of temporality and causality from philosophical, physical, and…

Machine Learning · Computer Science 2010-07-16 Kamran Karimi

In this article we set out to understand the significance of the process matrix formalism and the quantum causal modelling programme for ongoing disputes about the role of causation in fundamental physics. We argue that the process matrix…

Quantum Physics · Physics 2022-08-05 Emily Adlam

We investigate the structure common to causal theories that attempt to explain a (part of) the world. Causality implies conservation of identity, itself a far from simple notion. It imposes strong demands on the universalizing power of the…

History and Philosophy of Physics · Physics 2023-04-11 Karin Verelst

We show how uncertainty in the causal structure of field theory is essentially inevitable when one includes quantum gravity. This includes the fact that lightcones are ill-defined in such a theory. This effect is small in the effective…

High Energy Physics - Theory · Physics 2021-11-24 John F. Donoghue , Gabriel Menezes

The conditions for validity of the Causal Entropy Bound (CEB) are verified in the context of non-singular cosmologies with classical sources. It is shown that they are the same conditions that were previously found to guarantee validity of…

High Energy Physics - Theory · Physics 2009-11-07 Ram Brustein , Stefano Foffa , Avraham E. Mayo

The universal symmetry, or conservation, of complexity underlies any law or principle of system dynamics and describes the unceasing transformation of dynamic information into dynamic entropy as the unique way to conserve their sum, the…

General Physics · Physics 2014-05-15 Andrei P. Kirilyuk

The paper is a brief informal introduction to C*-algebraic foundations of causal contextual subquantum theories. In particular, it is explained how the contextuality property (which is a necessary consistency condition of all causal…

Quantum Physics · Physics 2007-05-23 Micho Durdevich

An overview is provided of the singularity theorems in cosmological contexts at a level suitable for advanced graduate students. The necessary background from tensor and causal geometry to understand the theorems is supplied, the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Spiros Cotsakis

A number of techniques in Lorentzian geometry, such as those used in the proofs of singularity theorems, depend on certain smooth coverings retaining interesting global geometric properties, including causal ones. In this note we give…

Differential Geometry · Mathematics 2021-02-16 Ettore Minguzzi , Ivan P. Costa e Silva