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Henry L. Brose

Bio: Henry L. Brose is an academic researcher. The author has contributed to research in topics: Space time. The author has an hindex of 1, co-authored 1 publications receiving 113 citations.
Topics: Space time

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Journal ArticleDOI
TL;DR: In this paper, the authors explore the physics implications of the external reality hypothesis (ERH) that there exists an external physical reality completely independent of us humans and argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH), that our physical world is an abstract mathematical structure.
Abstract: I explore physics implications of the External Reality Hypothesis (ERH) that there exists an external physical reality completely independent of us humans I argue that with a sufficiently broad definition of mathematics, it implies the Mathematical Universe Hypothesis (MUH) that our physical world is an abstract mathematical structure I discuss various implications of the ERH and MUH, ranging from standard physics topics like symmetries, irreducible representations, units, free parameters, randomness and initial conditions to broader issues like consciousness, parallel universes and Godel incompleteness I hypothesize that only computable and decidable (in Godel’s sense) structures exist, which alleviates the cosmological measure problem and may help explain why our physical laws appear so simple I also comment on the intimate relation between mathematical structures, computations, simulations and physical systems

397 citations

Journal ArticleDOI
Lee Smolin1
TL;DR: In this article, a new locally scale-invariant extension of general relativity is proposed based on Weyl's conformally invariant geometry, and it is shown that if the theory contains a Higgs phase, then it reduces to Einstein's theory in the limit of large distances.

220 citations

Book
01 Jan 1998
TL;DR: In this article, the authors present a model for smooth infinitesimal analysis as an axiomatic system, based on the smooth worlds of the differential calculus and the definite integral.
Abstract: Introduction 1. Basic features of smooth worlds 2. Basic differential calculus 3. First applications of the differential calculus 4. Applications to physics 5. Multivariable calculus and applications 6. The definite integral: Higher order infinitesimals 7. Synthetic geometry 8. Smooth infinitesimal analysis as an axiomatic system Appendix Models for smooth infinitesimal analysis.

161 citations

Journal ArticleDOI
TL;DR: In this article, a Lagrangian formalism in flat spacetime is used to derive the set of all possible energy-momentum and spin tensors compatible with the conservation laws.

121 citations

Journal ArticleDOI
TL;DR: In this article, the historical development of conformal transformations and symmetries is sketched: their origin from stereographic projections of the globe, their blossoming in two dimensions within the eld of analytic complex functions, the generic role of transformations by reciprocal radii in dimensions higher than two and their linearization in terms of polyspherical coordinates by Darboux, Weyl's attempt to extend General Relativity.
Abstract: The historical developments of conformal transformations and symmetries are sketched: Their origin from stereographic projections of the globe, their blossoming in two dimensions within the eld of analytic complex functions, the generic role of transformations by reciprocal radii in dimensions higher than two and their linearization in terms of polyspherical coordinates by Darboux, Weyl’s attempt to extend General Relativity, the slow rise of

99 citations