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On the Hamiltonian Constraint of Loop Quantum Cosmology

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abstract

In this paper we construct the Hamiltonian constraint operator of loop quantum cosmology using holonomies defined for arbitrary irreducible SU(2) representations labeled by spin J. We show that modifications to the effective semi-classical equations of motion arise both in the gravitational part of the constraint as well as matter terms. The modifications are important for phenomenological investigations of the cosmological imprints of loop quantum cosmology. We discuss the implications for the early universe evolution.

fields

gr-qc 1

years

2025 1

verdicts

UNVERDICTED 1

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Singularities in loop quantum cosmology

gr-qc · 2025-07-10 · unverdicted · novelty 6.0

Loop quantum cosmology models harbor physical singularities or inconsistent space-time structures, with a new effective Friedmann equation revealing a sub-Planckian bounce after a singularity at infinite scale factor resembling a time-reversed big rip.

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  • Singularities in loop quantum cosmology gr-qc · 2025-07-10 · unverdicted · none · ref 3 · internal anchor

    Loop quantum cosmology models harbor physical singularities or inconsistent space-time structures, with a new effective Friedmann equation revealing a sub-Planckian bounce after a singularity at infinite scale factor resembling a time-reversed big rip.