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Testing for causality between events in distributed executions is a fundamental problem. Vector clocks solve this problem but do not scale well. The probabilistic Bloom clock can determine causality between events with lower space, time,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-21 Anshuman Misra , Ajay D. Kshemkalyani

We discuss the usual account of causal structure that relies on the temporal precedence constraint between cause-effect pairs. In particular, we consider the subtle interplay between local and global characters of time and causality encoded…

Astrophysics · Physics 2007-05-23 Eric Bois , Eric Trelut

We reformulate Classical Mechanics as a timeless relativistic theory. Readers are introduced to a new class of reference systems, the binate frames, where physical events are identified with four position-coordinates -- no clocks are used.…

General Physics · Physics 2016-09-05 Samuel H. Talbert

There exist several approaches that investigate the connectedness of spacetime events through solutions of the Lorentz force equation. These approaches separate into three categories, that consider different equations. We clarify the…

Mathematical Physics · Physics 2007-05-23 E. Minguzzi

This article revisits the historiography of the problem of inertial frames. Specifically, the case of the twins in the clock paradox is considered to see that some resolutions implicitly assume inertiality for the non-accelerating twin. If…

General Physics · Physics 2012-02-15 Subhash Kak

Rescheduling problems arise in a variety of situations where a previously planned schedule needs to be adjusted to deal with unforeseen events. A common problem is the arrival of new orders, i.e. jobs, which have to be integrated into the…

Discrete Mathematics · Computer Science 2025-07-10 Elena Rener , Fabio Salassa , Vincent T'kindt

I explain in what sense the structure of space and time is probably vague or indefinite, a notion I define. This leads to the mathematical representation of location in space and time by a vague interval. From this, a principle of…

History and Philosophy of Physics · Physics 2023-08-24 Hanoch Ben-Yami

I present a brief review on space and time in different periods of physics, and then talk on the nature of space and time from physical arguments. I discuss the ways to test such a new perspective on space and time through searching for…

High Energy Physics - Phenomenology · Physics 2013-04-30 Bo-Qiang Ma

A procedure for the evaluation of correlators of any order in a reasonable computer time is presented. Connection between correlators and fluctuations of the event mean values of observables is discussed. Extension of the procedure to…

Nuclear Theory · Physics 2008-11-26 N. Amelin , P. Filip , R. Lednicky , M. Pachr

I present an analysis of the physical assumptions needed to obtain the metric structure of space-time. For this purpose I combine the axiomatic approach pioneered by Robb with ideas drawn from works on Weyl's "Raumproblem". The concept of a…

General Relativity and Quantum Cosmology · Physics 2010-09-29 Jochen Rau

In this note we discuss the possibility to define a space-time with a DSR based approach. We show that the strategy of defining a non linear realization of the Lorentz symmetry with a consistent vector composition law cannot be reconciled…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. Aloisio , A. Galante , A. F. Grillo , E. Luzio , F. Mendez

After a review of the chrono-geometrical structure of special relativity, where the definition of the instantaneous 3-space is based on the observer-dependent convention for the synchronization of distant clocks, it is shown that in a class…

General Relativity and Quantum Cosmology · Physics 2007-08-06 Luca Lusanna

We study the question of whether, for a given class of finite graphs, one can define, for each graph of the class, a linear ordering in monadic second-order logic, possibly with the help of monadic parameters. We consider two variants of…

Logic in Computer Science · Computer Science 2015-07-01 Achim Blumensath , Bruno Courcelle

The bloom clock is a space-efficient, probabilistic data structure designed to determine the partial order of events in highly distributed systems. The bloom clock, like the vector clock, can autonomously detect causality violations by…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-11 Lum Ramabaja

A model of discrete space-time is presented which is, in a sense, both Lorentz invariant and has no restriction on the relative velocity between particles (except v < c). The space-time has an inbuilt indeterminacy. Published originally as…

Mathematical Physics · Physics 2013-06-13 J. C. Jackson

A growing class of applications depends on fair ordering, where events that occur earlier should be processed before later ones. Providing such guarantees is difficult in practice because clock synchronization is inherently imperfect:…

Networking and Internet Architecture · Computer Science 2026-02-11 Muhammad Haseeb , Jinkun Geng , Aurojit Panda , Radhika Mittal , Nirav Atre , Srinivas Narayana , Anirudh Sivaraman

We study how macroscopic observational constraints restrict admissible microscopic explanatory structures when no intrinsic order or dynamics is assumed a priori. Starting from an unordered collection of measurement outcomes, we formulate…

Statistical Mechanics · Physics 2026-02-09 Akihisa Ichiki

We present a heuristic algorithm for solving the problem of scheduling plans of tasks. The plans are ordered vectors of tasks, and tasks are basic operations carried out by resources. Plans are tied by temporal, precedence and resource…

Artificial Intelligence · Computer Science 2021-02-09 Davide Andrea Guastella

This paper surveys main and recent studies on temporal logics in a broad sense by presenting various logic systems, dealing with various time structures, and discussing important features, such as decidability (or undecidability) results,…

Logic in Computer Science · Computer Science 2013-08-06 Savas Konur

We give an analysis over a variation of causal sets where the light cone of an event is represented by finitely branching trees with respect to any given arbitrary dynamics. We argue through basic topological properties of Cantor space that…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Ahmet Çevik , Zeki Seskir