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Steven Kerr

Publications and source records attributed to Steven Kerr.

7 recordsLinked to original sources

Towards an Ideometrics-Based General Theory of Human Progress

This paper proposes ideometrics as the foundation for a generalised and potentially testable theory of human progress and civilisational progress, thus linking ideometrics to studies in economics and history. Building on prior work that conceptualises the human brain as a sensor of ideas, human progress is understood not primarily through outcomes such as wealth, health, or technological advancement, but through the dynamic process of the "idea life cycle" that shapes future states. The paper advances a formal definition of human progress as a measurable improvement in the ability of individuals and societies to generate, evaluate, prioritise, and implement ideas in a way that increasingly aligns prioritised ideas with those that truly lead to preferred future states, given available information and uncertainty, and under scarcity of human capacity, energy, time and resources. It introduces the Ideometric Index of Human Progress (IIHP) that captures the quality of idea generation (G), accuracy of their evaluation (E), efficiency of their prioritisation (P), and effectiveness of their implementation (Ie). It shows that the future progress will be realised if there is good alignment between the perceived future value of ideas and their true, realised future value, assessed as outcome monitoring (O). This formulation shifts the analytical focus from static outcomes to the quality of evaluating ideas, thereby offering a novel lens for understanding progress and regress. The concept can also be extended to long periods of history through the Ideometric Index of Civilisational Progress (IICP), where additional parameters of successful documentation of outcomes (D) and successful intergenerational transmission of gathered knowledge (T) are added. By transforming ideas into measurable units of analysis, ideometrics offers a potentially transformative approach to understanding human progress.

econ.GN

A topological state sum model for a scalar field on the circle

This paper is a follow-up to a previous paper on fermions. A simple state sum model for a scalar field on a triangulated 1-manifold is constructed. The model is independent of the triangulation and gives exactly the same partition function as the continuum functional integral with zeta function regularisation. For a certain choice of gauge group, the state sum model on the circle is equivalent to the path integral for the simple harmonic oscillator.

hep-th

Gauge theory of gravity and matter

It is shown how to write the first order action for gravity in a gauge theoretic formalism where the spin connection and frame field degrees of freedom are assimilated together into a gauge connection. It is then shown how to couple the theory to spin-0, 1/2, 1 and 3/2 fields in a gauge invariant fashion. The results hold in any number of spacetime dimensions.

hep-th

Topological quantum field theory and quantum gravity

This thesis is broadly split into two parts. In the first part, simple state sum models for minimally coupled fermion and scalar fields are constructed on a $1$-manifold. The models are independent of the triangulation and give the same result as the continuum partition functions evaluated using zeta-function regularisation. Some implications for more physical models are discussed. In the second part, the gauge gravity action is written using a particularly simple matrix technique. The coupling to scalar, fermion and Yang-Mills fields is reviewed, with some small additions. A sum over histories quantisation of the gauge gravity theory in 2+1 dimensions is then carried out for a particular class of triangulations of the three-sphere. The preliminary stage of the Hamiltonian analysis for the (3+1)-dimensional gauge gravity theory is undertaken.

hep-th

Gauge gravity and discrete quantum models

The gauge gravity action for general relativity in any dimension using a connection for the Euclidean or Poincar\'e group and a symmetry-breaking scalar field is written using a particularly simple matrix technique. A discrete version of the gauge gravity action for variables on a triangulated 3-manifold is given and it is shown how, for a certain class of triangulations of the three-sphere, the discrete quantum model this defines is equivalent to the Ponzano-Regge model of quantum gravity.

gr-qc

A topological state sum model for fermions on the circle

A simple state sum model for fermions on a 1-manifold is constructed. The model is independent of the triangulation and gives exactly the same partition function as the Dirac functional integral with zeta-function regularisation. Some implications for more realistic physical models are discussed.

math-ph