Neutrino Commit Readability and Global-Phase-Field Dominated Propagation in the CHC Framework

The CHC framework separates a global phase field, local phase-field response, phase-link propagation, and local commit. In the electromagnetic sector, light is not introduced as an additional primitive substance. It is the observable name for a commit-capable electromagnetic energy-information excitation on a phase-link response conditioned by local matter, boundary, media, or detector coupling. Because ordinary matter contains abundant charged degrees of freedom, electromagnetic excitations possess high local commit readability: they are easily absorbed, scattered, reflected, converted into heat, or registered by detectors.

Neutrinos occupy the opposite end of the same diagnostic axis. They are electrically neutral weak-sector excitations. Their usual material environment is rich in electromagnetic response channels but poor in neutrino commit channels. As a result, most material boundaries do not close neutrino propagation into durable local records. The neutrino can retain a long-range mass-phase link across material environments, while registering only rarely through weak interaction endpoints.

This paper therefore does not begin with the question ``why does the neutrino ignore the local field?'' That formulation is misleading. The better question is:

quote Which local phase-field responses can read a given excitation as a durable local commit? quote

The answer distinguishes light from neutrinos. Light is commit-rich in ordinary matter because electromagnetic response channels are abundant. Neutrinos are commit-sparse because weak-sector neutrino excitations are mostly unreadable to ordinary local phase-field responses in material environments. This sector mismatch explains why neutrino propagation is naturally read as global-phase-field dominated while still allowing local phase-field corrections through matter potentials, endpoint commits, and high-energy absorption. The nonzero mass-phase load belongs to the propagation Hamiltonian and mass-basis phase accumulation rather than to the list of local phase-field response channels.

Let $\alpha,\beta\in\{e,\mu,\tau\}$TeX\alpha,\beta\in\{e,\mu,\tau\} label weak flavor channels and let $i,j\in\{1,2,3\}$TeXi,j\in\{1,2,3\} label mass eigenstates. A flavor state prepared at a weak interaction vertex is

|\nu_\alpha\rangle=\sum_i U_{\alpha i}^{*}|\nu_i\rangle,

where $U$TeXU is the mixing matrix. In vacuum, the relativistic propagation Hamiltonian after removing a common term may be written as

H_{\rm vac}(E)=\frac{1}{2E}U\,\diag(m_1^2,m_2^2,m_3^2)\,U^\dagger .

In matter one adds the standard matter potential,

H_{\rm std}(x,E)=H_{\rm vac}(E)+H_{\rm MSW}(x),

with the charged-current electron potential conventionally written as a term proportional to $\sqrt{2}G_F N_e(x)$TeX\sqrt{2}G_F N_e(x) in the electron-flavor component [citation]. We use natural units $\hbar=c=1$TeX\hbar=c=1, and $\lambda$TeX\lambda denotes the declared path-length or affine baseline parameter on the finite comparison window. The standard evolution equation is

\frac{\dd}{\dd\lambda}|\nu(\lambda)\rangle=-\ii H_{\rm std}(x(\lambda),E)|\nu(\lambda)\rangle.

The standard transition probability is

P^{\rm std}_{\alpha\to\beta}=\left|\langle \nu_\beta|\mathcal U_{\rm std}(\Gamma,E)|\nu_\alpha\rangle\right|^2 .

In a constant-density or vacuum approximation this reduces to the usual dependence on the relative phases $\Delta m_{ij}^2L/(2E)$TeX\Delta m_{ij}^2L/(2E), modulo matter corrections.

definition: Standard recovery member. The standard member of the CHC neutrino construction is the member for which the propagation Hamiltonian is exactly $H_{\rm std}=H_{\rm vac}+H_{\rm MSW}$TeXH_{\rm std}=H_{\rm vac}+H_{\rm MSW}, with no CHC residual term. All residual operators introduced below are inactive on this member.

remark: Electroweak and flavor-scope boundary. This paper does not construct the electroweak doublet sector, the neutrino mass matrix, the origin of the PMNS matrix, a Majorana or Dirac completion, a seesaw mechanism, or a new weak-interaction theory. The mixing matrix $U$TeXU, the masses $m_i$TeXm_i, the matter density input $N_e$TeXN_e, and the standard weak-interaction potentials are imported as standard-member data. The only additional object considered below is a bounded finite-window residual after the standard vacuum and MSW terms have been specified.

Sparse local response is represented by separating phase readability from commit readability on the declared finite window. A local phase-field response may modify an excitation's propagation phase without closing it into a detector-local event, or it may convert the excitation into a durable local commit. These response channels are distinct.

definition: Commit readability. For an excitation species $q$TeXq on a finite window $W$TeXW, the commit readability $\mathfrak C_q(W)$TeX\mathfrak C_q(W) denotes the availability of local phase-field response channels that can convert that excitation into a durable local commit. The definition is comparative and window-dependent. It is not a new conserved charge, not a cross-species universal scalar, and not assigned a numerical value unless a separate channel model or scoring protocol is declared.

definition: Phase readability. For an excitation species $q$TeXq on $W$TeXW, the phase readability $\mathfrak P_q(W)$TeX\mathfrak P_q(W) denotes the availability of local phase-field response channels that can modify the excitation's propagation phase without necessarily producing a local commit. It is likewise a finite-window diagnostic of channel availability rather than a detector-efficiency parameter or a replacement for a standard interaction cross section.

Ordinary electromagnetic light has high $\mathfrak C_q$TeX\mathfrak C_q in ordinary matter because matter contains many electromagnetic response channels. A neutrino has low $\mathfrak C_q$TeX\mathfrak C_q in ordinary matter because weak-sector conversion into a durable local record is rare. However, a neutrino can have nonzero $\mathfrak P_q$TeX\mathfrak P_q because coherent forward weak response modifies propagation phase without producing a detector event.

The finite-window sector mismatch is therefore expressed as low commit readability rather than absence of local response:

quote A neutrino is not global-phase-field dominated because it ignores local phase-field responses. It appears global-phase-field dominated because most ordinary local phase-field responses of material environments cannot convert a weak-sector neutrino excitation into a durable local commit. quote

The sector mismatch is therefore not absence of interaction. It is low commit readability. MSW matter response, high-energy absorption, and detector interactions remain local phase-field response channels on their declared windows.

remark: Commit-sparse propagation criterion. On a declared window $W$TeXW, if a separately declared channel model or scoring protocol makes $\mathfrak C_\nu(W)$TeX\mathfrak C_\nu(W) small while the mass-phase coherence length remains large compared with the comparison length, then the neutrino propagation baseline may be represented as global-phase-field dominated with sparse local response. This is a diagnostic reading of the preceding definitions, not a theorem-level quantitative bound. Small commit readability means that most ordinary material boundaries, through their local phase-field responses, do not produce a durable flavor-commit endpoint; long mass-phase coherence means that the propagation basis remains meaningful over the comparison path; and local response may still contribute through phase-readable but non-committing terms such as coherent forward scattering.

The CHC neutrino hypothesis is the following finite-window extension of the standard member.

assumption: Global-dominated propagation with sparse local response. On a declared neutrino comparison window $W=(\Gamma,E,\alpha,\beta,\mathcal C)$TeXW=(\Gamma,E,\alpha,\beta,\mathcal C), a neutrino is treated as a weak-sector phase-link excitation whose propagation is dominated by the global phase field, with nonzero mass-phase load carried by the standard propagation Hamiltonian and any declared residual phase term. Local phase-field response is sparse but nonzero: it enters through weak-interaction matter potentials, rare flavor-commit endpoint events, and high-energy interaction/absorption channels.

The perturbative Hamiltonian form is

H_{\rm eff}=H_{\rm vac}+H_{\rm MSW}+\eps H_{\GPF}+\eps H_{\LPR},

where $\eps$TeX\eps is a small bookkeeping parameter. The two residual components are:

H_{\GPF}(x,E) = \text{global-phase-field dominated residual},

  H_{\LPR}(x,E) = \text{sparse local phase-field response residual}.

The notation does not imply that $H_{\GPF}$TeXH_{\GPF} is universal, large, or superluminal. It is a residual Hamiltonian component to be bounded or rejected.

definition: Admitted neutrino residual. A residual pair $(H_{\GPF},H_{\LPR})$TeX(H_{\GPF},H_{\LPR}) is admitted on $W$TeXW only if:

- it is Hermitian at each point of the path, - it is fixed before the comparison and not retuned between datasets, - it reduces to zero under the standard-member projection $\eps=0$TeX\eps=0, - its common identity component is removed before interpreting observables, - its first-order contribution is bounded on the finite window, - it is not interpreted as a neutrino velocity law.

The last condition is essential. A Hermitian residual pair may change relative phase or matter-profile response; damping or attenuation may enter only through a separately declared nonunitary extension of the kind described below. No residual term asserts that neutrinos travel faster than light or that the CCL calibration class proves a universal neutrino propagation speed.

The CCL calibration class supplies an internal CHC path-normalization readout in a declared solar-system calibration setting [citation]. In the present paper it is not promoted to a universal propagation law. It is also not inserted as a replacement for the neutrino group velocity. Instead, if used at all, it is a dimensionless normalization candidate for $H_{\GPF}$TeXH_{\GPF}.

A safe parametrization is

H_{\GPF}(x,E)=\zeta_{\CCL}\,\Gcal(x,E)\,Q,

where $\zeta_{\CCL}$TeX\zeta_{\CCL} is a declared CCL-derived normalization factor, $\Gcal$TeX\Gcal is a dimensionless global-phase-field residual density on the window, and $Q$TeXQ is a traceless Hermitian operator in the mass or flavor space carrying the Hamiltonian scale of the residual term. Equivalently, one may write $Q=H_*\widehat Q$TeXQ=H_*\widehat Q with dimensionless traceless Hermitian $\widehat Q$TeX\widehat Q and a declared residual scale $H_*$TeXH_*. The trace part of $Q$TeXQ is removed because it produces only a common phase.

proposition: Common global phase invisibility. If $H_{\GPF}(x,E)=h(x,E)\one$TeXH_{\GPF}(x,E)=h(x,E)\one and $H_{\LPR}=0$TeXH_{\LPR}=0, then $H_{\GPF}$TeXH_{\GPF} produces no change in oscillation probabilities.

proof. The additional evolution factor is

\exp\left[-\ii\eps\int_\Gamma h(x(\lambda),E)\,\dd\lambda\right]\one,

which is a path-dependent common phase multiplying every component of the state. Absolute transition probabilities are invariant under such a common phase. Hence $P_{\alpha\to\beta}$TeXP_{\alpha\to\beta} is unchanged.

Therefore a CCL-normalized residual can be observable only through a nontrivial traceless structure: mass-index dependence, flavor-index dependence, energy-law dependence, direction/path dependence, or a damping channel. The observable object is not $\zeta_{\CCL}$TeX\zeta_{\CCL} alone; it is a relative phase or nonunitary residual constructed from the full operator.

Let $\mathcal U_{\rm std}(\lambda_2,\lambda_1)$TeX\mathcal U_{\rm std}(\lambda_2,\lambda_1) be the standard path-ordered propagator. Define

H_R=H_{\GPF}+H_{\LPR}.

The first-order displacement of the evolution operator is

\delta\mathcal U(\Gamma,E)
  =-\ii\eps\int_{\Gamma}
  \mathcal U_{\rm std}(\lambda_f,\lambda)
  H_R(\lambda,E)
  \mathcal U_{\rm std}(\lambda,\lambda_i)
  \,\dd\lambda
  +O(\eps^2).

The corresponding probability displacement is

\delta P_{\alpha\to\beta}
  =2\Ree\left[
  A_{\alpha\beta}^{\rm std\,*}
  \langle\nu_\beta|\delta\mathcal U|\nu_\alpha\rangle
  \right]
  +O(\eps^2),

where

A_{\alpha\beta}^{\rm std}=\langle\nu_\beta|\mathcal U_{\rm std}|\nu_\alpha\rangle.

Equations reference--reference are the main residual-displacement map. Any proposed CHC residual must enter through this map or through an explicitly declared damping/attenuation extension. The map is finite-window: it requires declared path, energy range, density profile, endpoint flavors, and systematics convention.

The construction yields residual-test classes rather than a single universal anomaly. Each class has a standard recovery member and a residual branch.

Nonstandard relative phase law

The standard vacuum phase scales as

\Phi_{ij}^{\rm vac}\sim \frac{\Delta m_{ij}^2L}{2E}.

A global-phase-field residual may generate

\delta\Phi_{ij}^{G}
  =\eps\,(q_i-q_j)\int_\Gamma \zeta_{\CCL}\Gcal(x,E)\,H_*\,\dd\lambda.

Here the $q_i$TeXq_i are declared dimensionless mass-basis residual phase-load weights with the common part removed, and $H_*$TeXH_* is the declared residual Hamiltonian scale introduced in reference. Only differences $q_i-q_j$TeXq_i-q_j are observable in oscillation phase. If the product $\zeta_{\CCL}\Gcal H_*$TeX\zeta_{\CCL}\Gcal H_* has energy dependence different from $1/E$TeX1/E, the residual produces a small departure from the standard $L/E$TeXL/E law. This can be searched for only after standard oscillation parameters and matter effects are fitted.

Matter-profile residual

The standard local response is the MSW potential. A CHC local phase-field response residual can be parameterized schematically, after removing any common identity component, as

H_{\LPR}=a_1\,\nabla_\parallel N_e\,Q_1+a_2\,\nabla_\parallel^2 N_e\,Q_2+a_3\,\mathcal C_{\rm matter}\,Q_3+\cdots,

where the scalar profile functions, coefficients, and fixed traceless Hermitian templates $Q_i$TeXQ_i in flavor or mass space must be declared before comparison. The empirical signature is not a new matter effect in general. It is a residual profile-shape separation after the standard coherent forward-scattering potential has been removed.

Decoherence upper-bound constraint

If local commit readability is low during propagation, the sparse-response branch treats large propagation-induced decoherence as a stress signal rather than as an expected effect. A damping extension may be written as

\rho_{ij}(L)=\rho_{ij}(0)\exp[-\ii\Phi_{ij}(L)]\exp[-\Gamma_{ij}^{\rm CHC}(E,L)],

with

\Gamma_{ij}^{\rm CHC}\ll 1

inside the sparse-response window as an admissibility condition. Existing high-energy atmospheric-neutrino decoherence bounds therefore act as constraints on $\Gamma_{ij}^{\rm CHC}$TeX\Gamma_{ij}^{\rm CHC}, not as evidence for a large residual; a large measured damping term would falsify or severely shrink the sparse-response branch rather than support it.

High-energy attenuation residual

At sufficiently high energy, local response is no longer negligible. The neutrino-nucleon cross-section grows with energy, and Earth absorption becomes observable. A CHC residual cross-section ansatz may be written as

\sigma_{\nu N}(E)=\sigma_{\rm SM}(E)\left[1+\eps f_{\rm CHC}(E,\Gcal,\Lcal)\right].

Existing Earth-absorption measurements require $f_{\rm CHC}$TeXf_{\rm CHC} to be small on measured windows. The admitted residual test is therefore a bound or a smooth residual in attenuation, not a large departure from standard cross-section physics.

The residual hypothesis can be tested only in windows where standard oscillation and standard matter effects are under control. Four windows are natural.

Long-baseline accelerator experiments..

Experiments such as DUNE are sensitive to oscillation parameters, mass ordering, CP phase, and matter effects over long baselines. They provide a natural setting for residual phase-law and matter-profile tests [citation].

Medium-baseline reactor experiments..

Reactor experiments such as JUNO are sensitive to precise oscillatory structure over medium baselines and can constrain energy-law residuals once detector and flux systematics are controlled [citation].

Atmospheric and astrophysical neutrinos..

IceCube-class measurements probe long baselines and high energies. They constrain decoherence, Lorentz-like residuals, and Earth absorption. In CHC language these are bounds on nonstandard global residuals, local attenuation residuals, or damping terms [citation].

Solar neutrino matter response..

Solar neutrinos probe matter-modified propagation over dense and varying media. They constrain local phase-field response terms that attempt to extend the MSW profile.

Public-data support boundary..

A bounded NPF public-data support summary is associated with this paper. It identifies public IceCube decoherence references, OPERA CERN Open Data records, a DUNE public simulation-config e-print, IceCube cross-section and OPERA timing-caution public summaries, and the IAS/Bahcall MSW baseline index. The resulting local status is NPF-PUBLIC-DATA-BOUNDARY-GATES-SATISFIED. This is a boundary-gate support summary only; it is not a DUNE/JUNO/IceCube/solar global oscillation fit, not a neutrino residual detection, and not a velocity-law claim.

The CHC neutrino hypothesis fails, or reduces to the standard member, under any of the following conditions.

- Every admissible $H_{\GPF}$TeXH_{\GPF} reduces to a common phase or a parameter redefinition already absorbed by standard oscillation parameters. - Every admissible $H_{\LPR}$TeXH_{\LPR} reduces to the standard MSW potential plus ordinary density-profile uncertainty. - Decoherence, direction-dependent, or matter-profile residuals are bounded so tightly that the CHC residual window is empirically empty at the declared scale. - Any proposed CCL-normalized term is interpreted as a superluminal velocity law or contradicts neutrino time-of-flight constraints. - High-energy attenuation residuals conflict with measured neutrino-nucleon cross-section windows.

These failure conditions are intentional. The paper does not propose a protected anomaly. It proposes a narrow residual class that either produces bounded separations or collapses to standard oscillation theory.

The neutrino case clarifies the CHC use of carrier and local-commit language developed in the worldline phase-load and commit-cadence layer [citation]. Light is not treated as an additional primitive substance in the CHC description. It is the observable name for a commit-capable electromagnetic energy-information excitation on a phase-link structure, conditioned by local phase-field response. Photon language remains the standard electromagnetic recovery language.

A neutrino is not a commit-capable electromagnetic excitation of that kind. It is a weak-sector, tiny-mass, commit-sparse phase-link excitation. Its production and detection are weak flavor-commit endpoint events. Its propagation is governed by mass-phase accumulation. Its local phase-field response is sparse but not absent.

Thus the comparison is: center

Figure or table content is omitted from the web reader; use the canonical manuscript for the exact object.

center

Global-phase-field domination therefore does not entail absence of local response. It means that the long-range propagation baseline is dominated by coherent mass-phase accumulation on the global phase-field structure because ordinary local matter has low commit readability for weak-sector neutrino excitations, while local response enters sparsely through weak potentials, endpoint commits, and high-energy interactions. The mass-phase load remains part of the propagation phase structure rather than a local-response channel.

This paper reformulates the CHC neutrino hypothesis around commit readability. The standard vacuum and MSW Hamiltonians are retained. A neutrino is described as a weak-sector phase-link excitation whose propagation is global-phase-field dominated because ordinary local phase-field responses of material environments contain very few channels that can read the excitation as a durable local commit. This does not mean that local response is absent. It enters through matter potentials, endpoint commits, and high-energy absorption, while the nonzero mass-phase load remains part of the propagation phase structure.

The CCL calibration readout is not promoted to a neutrino speed law; at most it supplies a declared normalization candidate for a residual phase-density term. Observable content lies in small relative phase, damping, matter-profile, or attenuation residuals after standard oscillation and MSW terms have been removed.

The resulting residual test classes are deliberately narrow: deviations from the standard $L/E$TeXL/E phase law, matter-profile residuals beyond MSW, upper-bound constraints on decoherence in sparse-response windows, and smooth high-energy attenuation residuals. If no such residual survives current and future bounds, the construction collapses to the standard member. If a residual survives, the CHC interpretation identifies it not as a new neutrino velocity but as a separation between global-phase-field dominated propagation and sparse local phase-field response.

For a two-state subsystem with mixing angle $\theta$TeX\theta and mass splitting $\Delta m^2$TeX\Delta m^2, the vacuum Hamiltonian after dropping a common term can be written as

H_{\rm vac}^{(2)}=\frac{\Delta m^2}{4E}
  
  -\cos 2\theta  \sin 2\theta

  \sin 2\theta  \cos 2\theta
  .

A constant matter potential adds

H_{\rm MSW}^{(2)}=\frac{1}{2}
  
  V  0

  0  -V
  ,

after removing the trace. A residual phase-field term can be represented as

H_R^{(2)}=\frac{1}{2}
  
  R_z  R_x-\ii R_y

  R_x+\ii R_y  -R_z
  .

The total frequency is shifted from

\Omega_0=\sqrt{\left(\frac{\Delta m^2}{2E}\cos 2\theta - V\right)^2+
  \left(\frac{\Delta m^2}{2E}\sin 2\theta\right)^2}

by a first-order displacement determined by the projection of $(R_x,R_y,R_z)$TeX(R_x,R_y,R_z) along the standard effective-field direction. This makes clear that a residual parallel to the identity is invisible, while a traceless residual changes the oscillation frequency or effective mixing angle.

A time-of-flight velocity anomaly is not the preferred observable of this construction. For a massive neutrino, the standard group velocity already differs from $c$TeXc by a mass-suppressed amount, and experimental timing claims are highly constrained [citation]. The CCL-normalized residual is therefore placed in the phase Hamiltonian, not in a velocity postulate. The safe measurable quantities are relative oscillation phase, matter-profile sensitivity, decoherence damping, or attenuation residuals.

No new observational or experimental dataset or residual-fit code is introduced by this paper. The manuscript uses standard published neutrino-oscillation, matter-effect, decoherence-bound, and high-energy attenuation references. Supplementary public-data companion statements identify the public-source surfaces and boundary-gate classifications for the cited windows. All definitions, residual maps, and finite-window claim boundaries used in the argument are contained in the text.

Funding and competing interests..

No external funding was received for this work. The author declares no competing interests.