---
{
  "id": "ASD-QM-TESTS-QUANTUM-EN",
  "path": "/en/tests/quantum",
  "title": "Quantum Phenomena: Requirements Matrix",
  "title_en": "Quantum Phenomena: Requirements Matrix",
  "category": "Quantum Phenomena",
  "summary": "Quantum Phenomena Foundation v1.0 · Canonical / Effective / Open. Seven requirements separately record effective results, independent derivation and apparatus-level discriminatory power.",
  "template": "test",
  "version": "1.0.0",
  "updated": "2026-09-22",
  "canonical": true,
  "source_tier": "canonical",
  "theory_status": "OPEN",
  "evidence_status": "UNTESTED",
  "locale": "en",
  "module_key": "quantum-research",
  "module_navigation": [
    {
      "path": "/en/theory/quantum",
      "label": "Overview",
      "en": "Overview"
    },
    {
      "path": "/en/theory/quantum/accompanying-field",
      "label": "Accompanying Field",
      "en": "Accompanying Field"
    },
    {
      "path": "/en/theory/quantum/matter-wave",
      "label": "Matter Wave",
      "en": "Matter Wave"
    },
    {
      "path": "/en/theory/quantum/effective-wave-equation",
      "label": "Effective Equation",
      "en": "Effective Equation"
    },
    {
      "path": "/en/theory/quantum/interference-diffraction",
      "label": "Interference",
      "en": "Interference"
    },
    {
      "path": "/en/theory/quantum/uncertainty-probability",
      "label": "Uncertainty",
      "en": "Uncertainty"
    },
    {
      "path": "/en/theory/quantum/detection-statistics",
      "label": "Detection",
      "en": "Detection"
    },
    {
      "path": "/en/theory/quantum/tunneling",
      "label": "Tunneling",
      "en": "Tunneling"
    },
    {
      "path": "/en/tests/quantum",
      "label": "Requirements",
      "en": "Requirements"
    }
  ],
  "canonical_scope": "Canonical research framework · effective limits are conditional",
  "source_chapter": "Chapter 5 / 第五章 · 出版整理稿",
  "source_reference": "Ch. 5 §§2–3; experimental references separately identified",
  "source_version": "QM-0accdcbe7725",
  "source_sha256": "0accdcbe772504a352cb16ac5e41b6979599e8876b767666397faa8abccfb245",
  "source_kind": "manifest",
  "source_records": [
    {
      "id": "CH5-ca737ec4e327",
      "title": "第五章-出版整理稿.docx",
      "sha256": "ca737ec4e327d72c5507bbc8e00295b6e56029c7583ebad8e505cdb9c68c6262",
      "format": "docx"
    }
  ],
  "source_manifest": "quantum-source-manifest.json",
  "source_manifest_url": "/downloads/ASD_Quantum_Source_Manifest.json",
  "last_reviewed": "2026-09-16",
  "depends_on": [
    "/en/theory/quantum"
  ],
  "related": [
    "/en/theory/quantum"
  ],
  "open_problems": [
    "/en/open-problems/quantum/phase-momentum-locking",
    "/en/open-problems/quantum/effective-limit",
    "/en/open-problems/quantum/born-statistics",
    "/en/open-problems/quantum/tunneling-core-coupling",
    "/en/open-problems/quantum/experimental-discriminator"
  ],
  "equations": [],
  "sources": [
    {
      "label": "CH5-ca737ec4e327 · 第五章-出版整理稿.docx",
      "kind": "supplied-manuscript"
    },
    {
      "label": "Davisson & Germer (1927) · Electron diffraction",
      "url": "https://link.aps.org/doi/10.1103/PhysRev.30.705",
      "kind": "external-reference"
    },
    {
      "label": "Tonomura et al. (1989) · Single-electron interference",
      "url": "https://pubs.aip.org/aapt/ajp/article/57/2/117/1040594/Demonstration-of-single-electron-buildup-of-an",
      "kind": "external-reference"
    },
    {
      "label": "Binnig et al. (1982) · Scanning tunneling microscopy",
      "url": "https://link.aps.org/doi/10.1103/PhysRevLett.49.57",
      "kind": "external-reference"
    },
    {
      "label": "Arndt et al. (1999) · C₆₀ interference",
      "url": "https://www.nature.com/articles/44348",
      "kind": "external-reference"
    }
  ],
  "outline": [
    "A requirements matrix, not new ASD confirmation",
    "Individual requirement records",
    "Gate for the next release"
  ],
  "seo_title": "Quantum Phenomena: Requirements Matrix | Quantum Phenomena Foundation v1.0 · ASD",
  "canonical_url": "https://asd-physics.org/en/tests/quantum",
  "translation_path": "/tests/quantum",
  "mathematical_review": "INCOMPLETE",
  "evidence_note": "NOT YET UNIQUELY TESTED · known wave phenomena are requirements; an independent ASD source and universal event statistics remain open.",
  "translation_of": "/tests/quantum",
  "translation_version": "1.0.0",
  "experiments": [
    {
      "id": "qm-wavelength",
      "name": "de Broglie wavelength",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Davisson & Germer (1927) · Electron diffraction",
      "observed": "λ=h/P is the matter-wave target.",
      "asd": "Mechanical momentum and phase wavevector of the same structure.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "CONDITIONAL · Independent action and momentum matching remains open.",
      "independent_derivation": "Not closed; recovered after ℏ matching.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    },
    {
      "id": "qm-diffraction",
      "name": "Electron diffraction",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Davisson & Germer (1927) · Electron diffraction",
      "observed": "Angular diffraction and its wavevector relation.",
      "asd": "Pattern geometry using actual boundaries, potential and incident spectrum.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "EFFECTIVE · Aperture solutions available; no new crystal-data fit here.",
      "independent_derivation": "Derived for a specified equation and boundaries; source and matching remain open.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    },
    {
      "id": "qm-single-events",
      "name": "Single-particle two-path events",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Tonomura et al. (1989) · Single-electron interference",
      "observed": "Individual events build an interference pattern; the reference uses an electron biprism.",
      "asd": "Individual records, visibility and accumulated distribution in the actual apparatus.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "OPEN · Field fringes do not establish one record per excitation.",
      "independent_derivation": "No closed core–field–detector event derivation.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    },
    {
      "id": "qm-uncertainty",
      "name": "Fourier uncertainty bound",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Ch. 5 (5.3.23)–(5.3.26) · mathematical target, not an independent experiment",
      "observed": "Standard-deviation bound ΔxΔk≥1/2; the momentum bound requires p=ℏk.",
      "asd": "Width conventions, preparation and mapping to measured core momentum.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "DERIVED MATHEMATICS / CONDITIONAL PHYSICS.",
      "independent_derivation": "Fourier proof established; physical identification remains conditional.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    },
    {
      "id": "qm-tunneling",
      "name": "Barrier transmission",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Binnig et al. (1982) · Scanning tunneling microscopy",
      "observed": "Effective T(E,V₀,a) is a recovery target; STM is an application reference.",
      "asd": "Flux ratio for a specified barrier and transmission/reflection of core events.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "EFFECTIVE / OPEN · Envelope calculable; core transport unresolved.",
      "independent_derivation": "Linear effective boundary solution derived; no independent core transport.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    },
    {
      "id": "qm-born",
      "name": "Born statistics",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Tonomura et al. (1989) · Single-electron interference",
      "observed": "Normalized squared-modulus position statistics with a specified detection protocol.",
      "asd": "Calibrated rates, one record per excitation and statistical universality.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "OPEN · Conditional linear-absorption origin available.",
      "independent_derivation": "No universal proof; sampling an assumed target is not a derivation.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    },
    {
      "id": "qm-mass-scaling",
      "name": "Mass and neutral-composite scaling",
      "category": "PHENOMENOLOGICAL REQUIREMENT",
      "evidence_status": "UNTESTED",
      "source_reference": "Arndt et al. (1999) · C₆₀ interference",
      "observed": "Neutral composites also show matter-wave interference.",
      "asd": "Correct center-of-mass wavevector–momentum–mass scaling at fixed shared parameters.",
      "established": "Established wave/quantum result used as a comparison target.",
      "numerical_difference": "NOT YET CALCULATED",
      "interpretation_difference": "Different physical interpretation is not itself a discriminator.",
      "distinguishes": "NO / NOT YET",
      "current_status": "TO EVALUATE · Conditional center-of-mass separation; no joint cross-species ASD calculation.",
      "independent_derivation": "Separation follows from a given effective many-body envelope; its general local-field origin is not closed.",
      "required_precision": "Set after fixing apparatus, dataset, ASD difference and theoretical errors; no invented numerical requirement."
    }
  ],
  "date_published": "2026-09-16",
  "metadata_reviewed": "2026-09-22"
}
---
## A requirements matrix, not new ASD confirmation

All seven entries are PHENOMENOLOGICAL REQUIREMENT. Existing experiments establish the relevant phenomena; independent ASD origins, apparatus calculations and distinguishing differences require their own tests. Evidence remains UNTESTED. Algebra checks do not change that grade.

| Observable | Current ASD status | Distinct prediction? | Gap |
| --- | --- | --- | --- |
| [de Broglie wavelength](#qm-wavelength) | CONDITIONAL · Independent action and momentum matching remains open. | NO / NOT YET | [OP-QM-002](/en/open-problems/quantum/phase-momentum-locking) |
| [Electron diffraction](#qm-diffraction) | EFFECTIVE · Aperture solutions available; no new crystal-data fit here. | NO / NOT YET | [OP-QM-003](/en/open-problems/quantum/effective-limit) |
| [Single-particle two-path events](#qm-single-events) | OPEN · Field fringes do not establish one record per excitation. | NO / NOT YET | [OP-QM-004](/en/open-problems/quantum/born-statistics) |
| [Fourier uncertainty bound](#qm-uncertainty) | DERIVED MATHEMATICS / CONDITIONAL PHYSICS. | NO / NOT YET | [OP-QM-002](/en/open-problems/quantum/phase-momentum-locking) |
| [Barrier transmission](#qm-tunneling) | EFFECTIVE / OPEN · Envelope calculable; core transport unresolved. | NO / NOT YET | [OP-QM-005](/en/open-problems/quantum/tunneling-core-coupling) |
| [Born statistics](#qm-born) | OPEN · Conditional linear-absorption origin available. | NO / NOT YET | [OP-QM-004](/en/open-problems/quantum/born-statistics) |
| [Mass and neutral-composite scaling](#qm-mass-scaling) | TO EVALUATE · Conditional center-of-mass separation; no joint cross-species ASD calculation. | NO / NOT YET | [OP-QM-002](/en/open-problems/quantum/phase-momentum-locking) |

## Individual requirement records

<ExperimentCard name="qm-wavelength">

[Davisson & Germer (1927) · Electron diffraction](https://link.aps.org/doi/10.1103/PhysRev.30.705) · [OP-QM-002](/en/open-problems/quantum/phase-momentum-locking)

</ExperimentCard>

<ExperimentCard name="qm-diffraction">

[Davisson & Germer (1927) · Electron diffraction](https://link.aps.org/doi/10.1103/PhysRev.30.705) · [OP-QM-003](/en/open-problems/quantum/effective-limit)

</ExperimentCard>

<ExperimentCard name="qm-single-events">

[Tonomura et al. (1989) · Single-electron interference](https://pubs.aip.org/aapt/ajp/article/57/2/117/1040594/Demonstration-of-single-electron-buildup-of-an) · [OP-QM-004](/en/open-problems/quantum/born-statistics)

</ExperimentCard>

<ExperimentCard name="qm-uncertainty">

[OP-QM-002](/en/open-problems/quantum/phase-momentum-locking)

</ExperimentCard>

<ExperimentCard name="qm-tunneling">

[Binnig et al. (1982) · Scanning tunneling microscopy](https://link.aps.org/doi/10.1103/PhysRevLett.49.57) · [OP-QM-005](/en/open-problems/quantum/tunneling-core-coupling)

</ExperimentCard>

<ExperimentCard name="qm-born">

[Tonomura et al. (1989) · Single-electron interference](https://pubs.aip.org/aapt/ajp/article/57/2/117/1040594/Demonstration-of-single-electron-buildup-of-an) · [OP-QM-004](/en/open-problems/quantum/born-statistics)

</ExperimentCard>

<ExperimentCard name="qm-mass-scaling">

[Arndt et al. (1999) · C₆₀ interference](https://www.nature.com/articles/44348) · [OP-QM-002](/en/open-problems/quantum/phase-momentum-locking)

</ExperimentCard>

## Gate for the next release

Fix shared constitutive dynamics, calibration inputs and the actual apparatus; then calculate the observable difference, theory and experiment uncertainties, and excludable parameter ranges. A changed interpretation is not POTENTIALLY DISCRIMINATING without an apparatus-level difference. [OP-QM-006](/en/open-problems/quantum/experimental-discriminator) defines a deliverable for Predictions & Falsification.

<CanonicalSource />
