τ-Photon
The τ-photon is the unique massless boundary character of the EM (B-)sector: a phase-quantum mode with no T²-fiber rest-mass content, propagating as a null transport on the boundary algebra of the τ³-arena and emerging as a β-decay byproduct alongside the proton-electron pair.
τ-Definition
The τ-photon is the unique massless boundary character of the EM (B-)sector: a phase-quantum mode with no T²-fiber rest-mass content, propagating as a null transport on the boundary algebra of the τ³-arena and emerging as a β-decay byproduct alongside the proton-electron pair.
Categorical invariant. Massless boundary character of the EM (B-)sector; phase-quantum mode; null transport on the boundary algebra.
Primary registry anchor:
IV.P35
τ-Derivation Chain
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IV.D12— Particle Kind: a particle is a stable defect bundle on the T² fiber -
IV.P341— Photon as B-sector carrier: the EM-sector boundary mode -
IV.P35— Photon as Boundary Character — unique massless mode of the boundary algebra -
IV.P50— Photon Uniqueness — no second massless boundary character exists -
IV.P47— Photon-Wave Identity — the photon and the EM wave are the same object -
IV.L03— Photon Phase Quantum Law fixes the per-mode phase quantum -
IV.T34— Photon Propagation Speed — boundary null transport gives c
Lean modules referenced:
TauLib.BookIV.Electroweak.PhotonMode,
TauLib.BookIV.Electroweak.TauMaxwell
SI Translation
Numerical value: 0 ± 0 kg
Calibration anchor: PG-P01-neutron
Calibration chain:
- Boundary character (massless by structural derivation, IV.P35)
- c (propagation speed) anchored via dimensional bridge to m_n
Manuscript reference: manuscript-sources/book-04/part01/ch05-photon-null-transport.tex
Lean Coverage
Status: Formalized
Module: TauLib.BookIV.Electroweak.PhotonMode
Lean kind: theorem
Lean symbol: PhotonMode
See Also
Cross-domain bridges
This glossary term sits on the boundary between domains. The τ-framework's cross-domain pivots are the structural junctions where physics, life, and metaphysics readouts meet.
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PG-P04-photonτ-Photon →MathG-D01-iota-tauMaster constant ι_τ -
PG-P04-photonτ-Photon →MathG-D02-tau-categoricalτ-categorical structure -
PG-P04-photonτ-Photon →MathG-D07-4-plus-1-sector4+1 Sector Decomposition -
PG-P04-photonτ-Photon →MathG-D08-five-generators-defFive Generators (definition) -
PG-P04-photonτ-Photon →MathG-K01-universe-postulateThe Universe Postulate (K0) -
PG-P04-photonτ-Photon →MathG-K02-five-generatorsThe five canonical generators (K1–K5) -
PG-P04-photonτ-Photon →MathG-K03-no-omega-axiomThe no-ω axiom (K6) -
PG-P04-photonτ-Photon →MathG-L01-idempotent-decompositionIdempotent Decomposition Lemma -
PG-P04-photonτ-Photon →MathG-O01-tau-objectGeneric τ-object