{
  "annotation_id": "39936c4b-68e4-4c94-873f-9f29d5966799",
  "date_created": "2026-03-02T18:02:06.805000Z",
  "date_modified": "2026-03-02T18:02:06.805000Z",
  "file_hash": "873279de545a94c1d00e6bf21eac3408bea576bd02257ba9f83b40be9847da43",
  "private": false,
  "record": {
    "abstract": "The conventional, time-dependent Schroedinger equation describes only\nunidirectional time evolution of the state of a physical system, i.e., forward\nor, less commonly, backward. This paper proposes a generalized quantum dynamics\nfor the description of joint, and interactive, forward and backward time\nevolution within a physical system. [...] Three applications are studied: (1) a\nformal theory of collisions in terms of perturbation theory; (2) a\nrelativistically invariant quantum field theory for a system that kinematically\ncomprises the direct sum of two quantized real scalar fields, such that one\nfield evolves forward and the other backward in time, and such that there is\ndynamical coupling between the subfields; (3) an argument that in the latter\nfield theory, the dynamics predicts that in a range of values of the coupling\nconstants, the expectation value of the vacuum energy of the universe is forced\nto be zero to high accuracy. [...]",
    "arxiv_id": "quant-ph/0404103",
    "authors": [
      "G. E. Hahne"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/35/33/309",
    "journal_ref": "J.Phys.A35:7101-7123,2002",
    "title": "Schroedinger equation for joint bidirectional motion in time",
    "url": "https://arxiv.org/abs/quant-ph/0404103"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "72a2034f-6b21-4a71-9b5a-8546539478af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}