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Forks in the Road, on the Way to Quantum Gravity

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arxiv gr-qc/9706002 v1 pith:2ZIUUSB2 submitted 1997-06-01 gr-qc hep-thquant-ph

classification gr-qchep-thquant-ph
keywords quantumgravitytheoryabsolutealternativechoicesforksframework
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abstract

In seeking to arrive at a theory of ``quantum gravity'', one faces several choices among alternative approaches. I list some of these ``forks in the road'' and offer reasons for taking one alternative over the other. In particular, I advocate the following: the sum-over-histories framework for quantum dynamics over the ``observable and state-vector'' framework; relative probabilities over absolute ones; spacetime over space as the gravitational ``substance'' (4 over 3+1); a Lorentzian metric over a Riemannian (``Euclidean'') one; a dynamical topology over an absolute one; degenerate metrics over closed timelike curves to mediate topology-change; ``unimodular gravity'' over the unrestricted functional integral; and taking a discrete underlying structure (the causal set) rather than the differentiable manifold as the basis of the theory. In connection with these choices, I also mention some results from unimodular quantum cosmology, sketch an account of the origin of black hole entropy, summarize an argument that the quantum mechanical measurement scheme breaks down for quantum field theory, and offer a reason why the cosmological constant of the present epoch might have a magnitude of around $10^{-120}$ in natural units.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Microstate counting from defects in de Sitter

    hep-th 2025-11 conditional novelty 6.0 of 10

    Counting defect microstates via Lorentzian wormholes reproduces the de Sitter and Schwarzschild-de Sitter entropy area laws.

  2. The old problem of the cosmological constant solved?

    gr-qc 2025-05 reject novelty 4.0 of 10

    A speculative essay claims that a model of gravity as superluminal phonons on a ring lattice solves the cosmological constant problem, but provides no derivation of the values or dynamics.

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