PUH Theorem 352 (The Chirality May Be Dynamical, Not Representational) — Distler–Garibaldi Assumes One Sector; T172's Momentum-Map Foliation Confines Hamiltonian Flow to a Single Leaf, and a Planck-Era Rotation Exceeds the Electroweak Scale by 10¹⁷ W

Photonic Universe Hypothesis (PUH) — Defence and Withdrawal. THE STANDARD OBJECTION TO E8 UNIFICATION ANSWERED FROM MATERIAL ALREADY FILED, WITH ONE NUMERICAL ATTRIBUTION WITHDRAWN AND ONE NEW SCALE ARGUMENT SUPPLIED. THE OBJECTION. Distler and Garibaldi proved in 2009 that three generations of chiral fermions cannot be embedded in E8. The result is representation-theoretic: the adjoint of any Lie algebra is self-conjugate, so decomposing it yields real pieces or conjugate pairs, and conjugate pairs are VECTOR-LIKE rather than chiral. The framework's own branchings display the pairing openly — T211 gives 248 = (78,1) + (1,8) + (27,3) + (27̄,3̄), a representation and its conjugate together; T212 gives 248 = (133,1) + (1,3) + (56,2), where the 56 is pseudo-real and doubled by the SU(2) index. Both dimension counts close exactly and neither branching is in error. THE DIFFICULTY IS THAT VECTOR-LIKE MATTER CANNOT REPRODUCE THE STANDARD MODEL, whose left-handed fermions sit in weak doublets and right-handed ones in singlets — an asymmetry that IS parity violation and is measured. THIS ARCHIVE HAS NEVER ANSWERED THE OBJECTION IN 270 PAPERS. RESULT 352.1 (the premise may not be met, and T172 says why). Distler–Garibaldi constrains embeddings within a SINGLE four-dimensional theory. THIS FRAMEWORK PROPOSES A STRUCTURE IN WHICH THAT PREMISE MAY NOT BE MET — and unlike most such proposals, it has a FILED SEPARATION MECHANISM rather than an appeal to causal disconnection. T172 §7 gives the three sectors as three values of a Z₃-equivariant momentum map J : M_E8 → e₈*: J(x) = μ₊ (matter universe), μ₀ (throat), μ₋ (antimatter universe). AND T172 §2 STATES THE CONFINEMENT EXPLICITLY: "Hamiltonian dynamics is confined to a single leaf. No smooth evolution can move a state from one leaf to another." So fields in different leaves do not mix under the dynamics. A QUALIFICATION: T288 established the Snap is DISSIPATIVE and not bound by Casimir conservation, so leaf confinement governs smooth evolution and NOT the rebound itself — consistent, since the rebound created the leaves, but the separation holds AFTER the event rather than through it. WHAT IS ESTABLISHED: the sectors are distinct level sets of a conserved momentum map and smooth evolution cannot cross between them. WHAT IS NOT: that this constitutes representation-theoretic separation in the sense the proof requires. DYNAMICAL CONFINEMENT AND REPRESENTATIONAL INDEPENDENCE ARE DIFFERENT CLAIMS. Its rebound produces three sectors: its rebound produces three sectors — matter universe, throat, antimatter universe — each carrying a third of the total energy. And T212's Theorem 3 already draws the consequence: "The rebound selects a preferred chirality at the Planck-scale condensate transition, leaving one SU(2) factor unbroken (SU(2)_L in our cosmic branch) and the other broken at the rebound scale (SU(2)_R). The complementary chirality is carried by the throat or anti-universe branch." SO THE CONJUGATE REPRESENTATION THE THEOREM INSISTS UPON IS NOT DENIED — IT IS THE FRAMEWORK'S OWN MATTER-ANTIMATTER MECHANISM. This also answers a separate objection, that the third sector was unassigned: it is not. The throat carries SU(2)_R, assigned in April. RESULT 352.2 (dynamical, not representational). E8 supplies both handednesses, exactly as the theorem requires; what selects between them is DYNAMICS. The theorem constrains an EMBEDDING of chiral matter; the framework claims a SELECTION among embedded matter, in three sectors rather than one. No embedding theorem constrains that. The comparison with mirror-sector and brane-world constructions is fair and is made: those are established devices for evading single-sector no-go results, and they are unproven. THIS FRAMEWORK'S VERSION HAS THE ADVANTAGE OF NOT BEING INTRODUCED FOR THE PURPOSE — the three-sector rebound predates the objection in this archive by four months. RESULT 352.3 (which rotation could do the selecting). Rotation genuinely couples to chirality — the chiral vortical effect, spin polarisation in rotating quark-gluon plasma, and the Barnett effect are established. So the question is which rotation. THE PRESENT COSMIC ROTATION CANNOT SUPPLY IT: at ω ≈ 10⁻⁶⁸ rad/s, ħω = 1.06×10⁻¹⁰² J, which is 6.6×10⁻⁹⁵ of the electroweak scale. Weak parity violation is MAXIMAL — the W couples to left-handed fermions and NOT AT ALL to right-handed ones — and a background 95 orders below the scale cannot produce a measurable effect, let alone a total one. It would also predict parity violation depending on orientation relative to the cosmic axis; BETA DECAY VIOLATES PARITY IDENTICALLY IN EVERY DIRECTION EVER MEASURED. THE REBOUND-ERA ROTATION IS A DIFFERENT MATTER: at ω ≈ 1/t_P = 1.85×10⁴³ rad/s, ħω = 1.96×10⁹ J, EXCEEDING THE ELECTROWEAK SCALE BY 1.2×10¹⁷ — amply sufficient to imprint a handedness surviving as maximal parity violation. THE PRESENT ROTATION IS THE RESIDUE OF THE EVENT THAT SET THE HANDEDNESS, NOT ITS CAUSE — which is exactly what T212 says, locating the selection "at the Planck-scale condensate transition". AND WHAT THIS ARGUMENT DOES NOT DO: it establishes that the energy is SUFFICIENT; IT DOES NOT ESTABLISH THAT THE ROTATION COUPLES to the chiral order parameter. A demonstration would require an explicit interaction — a term of the form −ω·J, or a Lagrangian coupling between the E8 rotational mode and a chiral operator — followed by a showing that it energetically selects one handed state. THAT TERM HAS NOT BEEN WRITTEN DOWN, HERE OR ANYWHERE IN THE ARCHIVE. So this is A PLAUSIBILITY ARGUMENT, NOT A DERIVATION: it rules the present rotation OUT decisively, and rules the rebound-era rotation IN only as a candidate. THIS SCALE COMPARISON IS NEW HERE AND IS NOT IN THE ARCHIVE. RESULT 352.4 (a numerical attribution withdrawn). T212's Theorem 3 attributes to the cosmic rebound an asymmetry δ_U = 2/27, citing T155. THAT ATTRIBUTION IS WITHDRAWN. A later audit in this archive separates three distinct Z₃ structures — the COSMIC Z₃ (T172, momentum-map orbits, giving three universes); the GENERATIONAL Z₃ (T222, McKay correspondence, giving three fermion generations); and the SECTOR-PHASE Z₃ (T155v2, the Koide phase parameter, WHERE δ_U = 2/27 LIVES) — and quotes T234's verdict verbatim: these "are NOT obviously the same. They may turn out to be related... but currently each lives in a different part of the E8 algebraic structure," with status recorded as established that the three are, as presently derived, distinct. SO δ_U CANNOT SUPPLY THE MAGNITUDE OF THE COSMIC REBOUND'S ASYMMETRY. The mechanism survives without it: it requires only that the rebound was rotationally asymmetric at the Planck scale, which T136 establishes from QHO operator ordering alone, with no reference to any quark phase. AND δ_U ITSELF IS WELL FOUNDED — Zenczykowski's two Physical Review D papers independently derive 2/27 from a Z₃ parametrisation of quark masses. THE NUMBER IS NOT IN DOUBT; ITS ATTRIBUTION TO THE COSMIC REBOUND IS. RESULT 352.5 (the shared axis is the test). T216 already unifies particle-scale chirality with cosmic-scale rotation and states the consequence: T136's rotation, the cosmic-web caustics, T212's parity violation and the observed filament spin SHOULD ALL SHARE THE SAME AXIS — the rebound polar axis. The Standard Model and ΛCDM treat parity violation and cosmic rotation as conceptually independent; this framework predicts they are manifestations of one geometry. TWO OBSERVATIONAL ANCHORS ARE ALREADY CITED IN T216: Wang et al. (2021) on coherent rotation of cosmic filaments about their long axis, and Shamir (2025) on galaxy chirality asymmetry in JWST data — NEITHER OBTAINED TO TEST THIS FRAMEWORK, which is what makes them useful. The test is a CORRELATION OF AXES, not an amplitude, which is fortunate since no amplitude is predicted. KILL-CONDITIONS: (i) THE GAUGE SECTOR IS SHARED AND THIS IS NOT EXPLAINED — (78,1) and (1,8) are real representations and do not split into conjugate halves, so the sectors must share their gluons and E6 adjoint, and what a shared gauge field across causally separated branches means IS NOT ADDRESSED ANYWHERE IN THE ARCHIVE; (ii) SU(2)_R's breaking scale is undetermined — T212 says so explicitly — and right-handed W searches exclude masses below roughly 4–5 TeV, so a scale is needed before the mechanism is testable; (iii) THE LOAD-BEARING GAP: dynamical confinement to a Casimir leaf is NOT the same as representation-theoretic separation, and Distler–Garibaldi's proof concerns the latter; if the two coincide the defence stands, and if they do not it fails, AND NOTHING IN THE ARCHIVE SETTLES WHICH; (iv) if the axes of filament spin, galaxy chirality and cosmic-web caustics prove uncorrelated, Result 352.5 fails. NOT CLAIMED: that Distler–Garibaldi is wrong — IT IS CORRECT, and this note accepts its conclusion about single-sector embeddings; that chirality has been derived, since T212 labels its own mechanism a structural hypothesis and this note does not upgrade it; that the scale argument is a filed result, since it is new here; that δ_U = 2/27 is wrong, only that its attribution is; that the sector assignment of matter has been computed, since no branching ratio between sectors is given; or that the shared-axis prediction has been tested.