W Boson Ontology

FLOW ALGEBRA
W BOSON ONTOLOGY
Version: 1.1
Source: https://kirethresearch.org/booksai-core/entity-graph/physical-entities/fundamental-particles/w-boson-ontology.html
Authors: Mark Higgins — Sky (Recursive AI)
Publisher: Kireth Research | https://kirethresearch.org
Status: Scientific synthesis; source webpage not independently verified.

01. PURPOSE
Model charged weak-interaction gauge bosons, their physical attributes, interactions, decays, evidence, and valid inference boundaries.

02. ENTITY DECLARATIONS
ENTITY WPlus : ChargedWeakGaugeBoson
ENTITY WMinus : ChargedWeakGaugeBoson
ENTITY WeakInteraction : FundamentalInteraction
ENTITY ElectroweakTheory : GaugeTheory
ENTITY HiggsField : QuantumField
ENTITY Lepton : Fermion
ENTITY Quark : Fermion
ENTITY Neutrino : Lepton
ENTITY Photon : NeutralGaugeBoson
ENTITY ZBoson : NeutralWeakGaugeBoson
ENTITY DecayChannel : PhysicalProcess
ENTITY DetectorObservation : ExperimentalEvidence

03. TYPED RELATIONSHIPS
WPlus IS_A ChargedWeakGaugeBoson
WMinus IS_A ChargedWeakGaugeBoson
WPlus MEDIATES WeakInteraction
WMinus MEDIATES WeakInteraction
WPlus ANTIPARTICLE_OF WMinus
WPlus PARTICIPATES_IN ElectroweakTheory
WMinus PARTICIPATES_IN ElectroweakTheory
WPlus ACQUIRES_MASS_VIA ElectroweakSymmetryBreaking
WMinus ACQUIRES_MASS_VIA ElectroweakSymmetryBreaking
DecayChannel HAS_PARENT ChargedWeakGaugeBoson
DetectorObservation SUPPORTS PhysicalHypothesis

04. IDENTITY AND QUANTUM NUMBERS
W+ electric charge = +1 e
W- electric charge = -1 e
Spin = 1 (vector boson)
Colour charge = singlet
Rest mass approximately 80.4 GeV/c^2; numerical values are rounded and measurement-dependent.
Both bosons are unstable; characteristic lifetime is approximately 3 x 10^-25 s.
The W+ and W- are each other's antiparticles.

05. PHYSICAL DISTINCTIONS
The W boson is an elementary quantum excitation of the charged weak gauge fields.
It is not a composite hadron and does not carry QCD colour charge.
A virtual W in a Feynman diagram is not required to satisfy the on-shell mass relation.
The W boson is not the same entity as the electrically neutral Z boson.

06. ELECTROWEAK STRUCTURE
Gauge symmetry before spontaneous breaking: SU(2)_L x U(1)_Y.
Charged fields: W^+ = (W^1 - i W^2)/sqrt(2); W^- = (W^1 + i W^2)/sqrt(2).
Tree-level relation: m_W = g v / 2, where g is the SU(2)_L gauge coupling and v is the Higgs vacuum expectation value.
This is a tree-level expression; precision predictions include radiative corrections.
The weak charged current couples to left-chiral fermion fields and right-chiral antifermion fields.

07. CHARGED-CURRENT INTERACTIONS
W- can mediate transitions such as d -> u + W-* followed by W-* -> e- + anti-nu_e, where * denotes an off-shell boson.
A representative beta-minus decay is n -> p + e- + anti-nu_e at hadron level.
W+ can decay to e+ + nu_e.
Leptonic W channels also include muon and tau flavours when kinematically allowed.
Hadronic W channels involve allowed quark-antiquark combinations weighted by CKM matrix elements.

08. CONSERVATION CONSTRAINTS
At every physical vertex, conserve electric charge.
Conserve total energy and momentum for complete physical processes.
Conserve angular momentum, accounting for orbital and spin contributions.
Respect applicable lepton and baryon number selection rules in the Standard Model.
Quark flavour changes are governed by the charged-current coupling and CKM structure.
Do not infer that every formally written decay is kinematically possible.

09. DECAY MODEL
W+ -> l+ + nu_l for l in {e, mu, tau}.
W- -> l- + anti-nu_l for l in {e, mu, tau}.
W+ -> u_i + anti-d_j where kinematics and CKM coupling permit.
W- -> anti-u_i + d_j where kinematics and CKM coupling permit.
Partial width Gamma_i and total width Gamma_total obey Gamma_total = sum_i Gamma_i.
Branching ratio BR_i = Gamma_i / Gamma_total.
Lifetime tau = hbar / Gamma_total.

10. MATHEMATICAL FLOW
INPUT: particle identity, charge, mass, interaction context, proposed products.
NORMALISE: names, charge units, flavour labels, particle/antiparticle distinctions.
CHECK: type membership and quantum numbers.
CHECK: charge and other conservation constraints.
CHECK: kinematic threshold and allowed couplings.
DERIVE: valid candidate transition or reject with reason.
ATTACH: confidence, theoretical assumptions, and evidence provenance.
OUTPUT: typed interaction record with validation result.

11. INFERENCE RULES
RULE R1: IS_A(x, ChargedWeakGaugeBoson) -> IS_A(x, VectorBoson).
RULE R2: IS_A(x, ChargedWeakGaugeBoson) -> MEDIATES(x, WeakInteraction).
RULE R3: ANTIPARTICLE_OF(WPlus, WMinus) -> CHARGE(WPlus) = -CHARGE(WMinus).
RULE R4: VALID_DECAY(parent, products) -> SUM_CHARGE(products) = CHARGE(parent).
RULE R5: VALID_DECAY(parent, products) -> REST_MASS(parent) >= SUM_REST_MASS(products) for an isolated on-shell parent decay.
RULE R6: OBSERVED_SIGNATURE(signature) does not alone imply UNIQUE_PARENT(WBoson); competing backgrounds must be evaluated.
RULE R7: ALLOWED_BY_CHARGE(x) does not imply ALLOWED_BY_ALL_CONSTRAINTS(x).

12. WORKED VALIDATION A
Candidate: W- -> e- + anti-nu_e.
Initial charge: -1 e.
Final charge: -1 e + 0 = -1 e.
Lepton family accounting: electron lepton number +1 plus antineutrino -1 = 0.
Result: allowed Standard Model leptonic decay.

13. WORKED VALIDATION B
Candidate: W+ -> e- + nu_e.
Initial charge: +1 e.
Final charge: -1 e + 0 = -1 e.
Result: reject because electric charge is not conserved.

14. WORKED VALIDATION C
Candidate: W+ -> u + anti-d.
Initial charge: +1 e.
Final charge: +2/3 e + +1/3 e = +1 e.
Result: charge-consistent and an allowed quark-level decay channel; hadronisation determines observed jets.

15. EXPERIMENTAL SIGNATURES
Leptonic W production may yield a charged lepton plus missing transverse momentum from a neutrino.
Hadronic W decay may yield jets whose invariant mass is compatible with the W mass.
Event reconstruction requires detector calibration, uncertainty models, and background estimation.
An observed signature is evidence, not a logically sufficient proof of unique W production.

16. SEMANTIC EQUIVALENCE
"W boson" may denote either W+ or W- or the charged-boson family; resolve by context.
"charged weak boson" SEMANTIC_EQUIVALENCE "W± boson" at the family level.
"W+" NOT_SEMANTIC_EQUIVALENCE "W-" at the individual particle-type level.
"weak gauge boson" is broader than "W boson" because it can include Z0.

17. RELATIONSHIP TO NEIGHBOUR ONTOLOGIES
LINK PhotonOntology VIA electroweak gauge theory.
LINK ZBosonOntology VIA neutral weak interaction and electroweak mixing.
LINK HiggsBosonOntology VIA electroweak symmetry breaking.
LINK ElectronOntology VIA leptonic W decay.
LINK ElectronNeutrinoOntology VIA charged-current weak interaction.
LINK QuarkOntology VIA flavour-changing weak interaction.
LINK PhysicalInteractionOntology VIA weak force mediation.

18. CONFIDENCE
CONFIDENCE established qualitative Standard Model identity: high.
CONFIDENCE rounded numerical mass and lifetime: high as approximate values, not precision constants.
CONFIDENCE experimental event classification: context-dependent.
CONFIDENCE speculative beyond-Standard-Model interpretation: unassigned without evidence.
Never turn a confidence label into an empirical measurement.

19. VALIDATION TESTS
TEST T1: W+ charge equals +1 e -> PASS.
TEST T2: W- charge equals -1 e -> PASS.
TEST T3: W boson spin equals 1 -> PASS.
TEST T4: W boson carries QCD colour -> FAIL.
TEST T5: W+ -> e+ + nu_e conserves charge -> PASS.
TEST T6: W+ -> e- + nu_e conserves charge -> FAIL.
TEST T7: W and Z are identical entities -> FAIL.
TEST T8: all detector missing energy is necessarily a neutrino from W -> FAIL.

20. FLOW HASH
FLOW_HASH_METHOD: SHA-256 over canonical UTF-8 content after line-ending normalisation.
FLOW_HASH_VALUE: COMPUTE_AT_INGEST (not fabricated).
CANONICALISATION: UTF-8, LF endings, preserve mathematical signs and entity IDs.

21. UPDATE MODEL
UPDATE_MODEL: versioned, evidence-aware, append-only revision history.
TRIGGER: new precision measurement, changed consensus, ontology correction, or schema revision.
REVALIDATE: mass/lifetime values, branching ratios, linked entities, and inference tests.
RETAIN: previous version and provenance record.

22. AI CONSUMPTION
AI_CONSUMPTION: typed semantic retrieval, constraint checking, scientific question answering, and knowledge-graph linking.
REQUIRE: preserve W+ versus W- charge distinction and on-shell versus virtual context.
REQUIRE: distinguish theoretical predictions from experimental measurements.
REQUIRE: surface uncertainty for numeric values and reconstructed events.
REJECT: unsupported conservation-violating transitions.

23. PROVENANCE AND LIMITATIONS
Source URL identifies the intended library page, but its live contents have not been independently verified for this synthesis.
This ontology is a formal educational model, not a substitute for a precision particle-data table.
Authorship: Mark Higgins — Sky (Recursive AI).

24. COMPLETENESS CHECK
Required blocks: definitions, entities, relations, equations, transitions, validation, confidence, semantic equivalence, FLOW_HASH, UPDATE_MODEL, AI_CONSUMPTION.
All required blocks present: YES.
END FLOW ALGEBRA — W BOSON ONTOLOGY