58 citations · 377 across the 66 of their papers we have counts for
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Wave Equations for Discrete Quantum Gravity
Stan Gudder
This article is based on the covariant causal set (-causet) approach to discrete quantum gravity. A -causet is a finite partially ordered set that has a unique labeling o…
Curvature and Quantum Mechanics on Covariant Causal Sets
Stanley Gudder
This article begins by reviewing the causal set approach in discrete quantum gravity. In our version of this approach a special role is played by covariant causal sets which we cal…
Inflation and Dirac in the Causal Set Approach to Discrete Quantum Gravity
Stan Gudder
In this approach to discrete quantum gravity the basic structural element is a covariant causal set (-causet). The geometry of a -causet is described by a shell-sequence that…
Emergence of Four Dimensions in the Causal Set Approach to Discrete Quantum Gravity
Stan Gudder
One could begin a study like the present one by simply postulating that our universe is four-dimensional. There are ample reasons for doing this. Experience, observation and experi…
An Isometric Dynamics for a Causal Set Approach to Discrete Quantum Gravity
Stan Gudder
We consider a covariant causal set approach to discrete quantum gravity. We first review the microscopic picture of this approach. In this picture a universe grows one element at a…
The Universe as a Quantum Computer
Stan Gudder
This article presents a sequential growth model for the universe that acts like a quantum computer. The basic constituents of the model are a special type of causal set (causet) ca…
Labeled Causets in Discrete Quantum Gravity
Stan Gudder
We point out that labeled causets have a much simpler structure than unlabeled causets. For example, labeled causets can be uniquely specified by a sequence of integers. Moreover,…
Elementary Particles and the Causet Approach to Discrete Quantum Gravity
Stan Gudder
In a previous paper, the author introduced a covariant causet (-causet) approach to discrete quantum gravity. A -causet is a finite partially ordered set that is invariant un…
A Unified Approach to Discrete Quantum Gravity
Stan Gudder
This paper is based on a covariant causal set (c-causet) approach to discrete quantum gravity. A c-causet is a partially ordered set that is invariant under labeling. We fi…
A covariant causal set approach to discrete quantum gravity
Stan Gudder
A covariant causal set (c-causet) is a causal set that is invariant under labeling. Such causets are well-behaved and have a rigid geometry that is determined by a sequence of posi…
A Dynamics for Discrete Quantum Gravity
Stan Gudder
This paper is based on the causal set approach to discrete quantum gravity. We first describe a classical sequential growth process (CSGP) in which the universe grows one element a…
The Causal Poset is Directed but not Lattice Ordered
Stanley P Gudder
In the causal set approach to discrete quantum gravity the universe grows one element at a time in discrete steps. At each step the process has the form of a causal set (causet) an…
Causal set approach to discrete quantum gravity
Stan Gudder
We begin by describing a sequential growth model in which the universe grows one element at a time in discrete time steps. At each step, the process has the form of a causal set an…
An Einstein equation for discrete quantum gravity
Stan Gudder
The basic framework for this article is the causal set approach to discrete quantum gravity (DQG). Let be the collection of causal sets with cardinality not greater than …
A Matter of Matter and Antimatter
Stan Gudder
A discrete quantum gravity model given by a quantum sequential growth process (QSGP) is considered. The QSGP describes the growth of causal sets (causets) one element at a time in…
Discrete Quantum Gravity Is Not Isometric
Stan Gudder
We show that if a discrete quantum gravity is not classical, then it cannot be generated by an isometric dynamics. In particular, we show that if the quantum measure μ (or equivale…
Models for Discrete Quantum Gravity
Stan Gudder
We first discuss a framework for discrete quantum processes (DQP). It is shown that the set of q-probability operators is convex and its set of extreme elements is found. The prope…
Discrete Quantum Gravity
Stan Gudder
We discuss the causal set approach to discrete quantum gravity. We begin by describing a classical sequential growth process in which the universe grows one element at a time in di…