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PreprintCC BYZenodo (CERN European Organization for Nuclear Research)

From Ledger to Born: The Square is Forced

  • Attar Ali1
  1. 1Independent Researcher, Colombes, France
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Abstract

Probability as finite address-capacity accounting Version: 2.0 Concept DOI: 10.5281/zenodo.20118242 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 This paper derives the Born rule as a finite address-capacity theorem. The laboratory square is not introduced as an operational postulate; it is the unique positive additive real- J-basis-invariant address-capacity law for repeated calibrated preparation. The resolved ledger probability is p(α|M) = ∑w |ρ(w)|J2 ⟨ψw|Παψw⟩J = TrJ(ρeffΠα), where ρeff = ∑w |ρ(w)|J2 |ψw⟩⟨ψw|J . In the laboratory-pure position projection this becomes ℙJ(X)=∫X |Ψ(x,τ)|J2 d3x . Status: QTT-BORN-SQUARE-FINITE-ADDRESS-CAPACITY-CLOSED STANDARD-BORN-RULE-LABORATORY-SHADOW-RECOVERED

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Cite

BibTeXRIS
BibTeX
@misc{ali2026from,
  title = {{From Ledger to Born: The Square is Forced}},
  author = {Attar Ali},
  howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
  year = {2026},
  month = may,
  doi = {10.5281/zenodo.20118242},
  url = {https://doi.org/10.5281/zenodo.20118242},
  note = {CC BY},
}
RIS
TY  - UNPB
TI  - From Ledger to Born: The Square is Forced
AU  - Attar Ali
PY  - 2026
DA  - 2026/05/11
PB  - Zenodo (CERN European Organization for Nuclear Research)
DO  - 10.5281/zenodo.20118242
UR  - https://doi.org/10.5281/zenodo.20118242
AB  - Probability as finite address-capacity accounting Version: 2.0 Concept DOI: 10.5281/zenodo.20118242 Author: Ali Attar Website: quantumtraction.org Main book anchor: Quantum Traction Theory: Main Book v10.01 This paper derives the Born rule as a finite address-capacity theorem. The laboratory square is not introduced as an operational postulate; it is the unique positive additive real- J-basis-invariant address-capacity law for repeated calibrated preparation. The resolved ledger probability is p(α|M) = ∑_w |ρ(w)|_J^2 ⟨ψ_w|Π_αψ_w⟩_J = Tr_J(ρ_effΠ_α), where ρ_eff = ∑_w |ρ(w)|_J^2 |ψ_w⟩⟨ψ_w|_J . In the laboratory-pure position projection this becomes ℙ_J(X)=∫_X |Ψ(x,τ)|_J^2 d^3x . Status: QTT-BORN-SQUARE-FINITE-ADDRESS-CAPACITY-CLOSED STANDARD-BORN-RULE-LABORATORY-SHADOW-RECOVERED
ER  -