This paper reports the V7 response-potential dynamics test for the ECSM electron-like packet programme. Starting from a previously constructed q_eff ≃ -1 electron-like packet scaffold, the test applies weak external response potentials to a Dirac-like packet using a split-operator evolution scheme. The V7 result passes all 15 verdict criteria. The packet preserves its occupancy scaffold, inherited alpha/beta closure, norm, branch weights, and controlled negative-branch leakage. Under a weak linear response potential, the packet trajectory changes substantially and shows force/acceleration sign agreement in an Ehrenfest-like diagnostic. Under chi-deformed response-potential dynamics, transport changes systematically while conservation remains stable. The result does not claim recovery of the physical electron, exact Newtonian force law, or full electromagnetic gauge coupling. It establishes a narrower internal result: an electron-like ECSM Dirac packet can undergo weak response-potential dynamics while conserving branch structure. The associated reproducibility notebook is publicly available at: https://github.com/asheldrick-research/ecsm-framework/blob/main/ECSM_Electron_Like_Packet_Response_Potential_V7.ipynb
This paper reports the V7 response-potential dynamics test for the ECSM electron-like packet programme. Starting from a previously constructed q_eff ≃ -1 electron-like packet scaffold, the test applies weak external response potentials to a Dirac-like packet using a split-operator evolution scheme. The V7 result passes all 15 verdict criteria. The packet preserves its occupancy scaffold, inherited alpha/beta closure, norm, branch weights, and controlled negative-branch leakage. Under a weak linear response potential, the packet trajectory changes substantially and shows force/acceleration sign agreement in an Ehrenfest-like diagnostic. Under chi-deformed response-potential dynamics, transport changes systematically while conservation remains stable. The result does not claim recovery of the physical electron, exact Newtonian force law, or full electromagnetic gauge coupling. It establishes a narrower internal result: an electron-like ECSM Dirac packet can undergo weak response-potential dynamics while conserving branch structure. The associated reproducibility notebook is publicly available at: https://github.com/asheldrick-research/ecsm-framework/blob/main/ECSM_Electron_Like_Packet_Response_Potential_V7.ipynb
This paper presents the V23 stage of the ECSM electron-like packet programme. Building on the V21b single-action recovery and V22 Dirac-limit propagation results, V23 tests whether the same electron-like packet admits an emergent minimal gauge-coupling structure. The construction inherits a near-electron rest-energy scale and coherent-limit Dirac-like propagation, then introduces an effective gauge-response field through a local response phase, an effective vector response, and an effective scalar response. The packet is tested under the minimal-coupling replacement p -> p - q_eff A_eff, together with a gauge-covariant derivative. The V23 audit finds that the alpha/beta response algebra remains exact, the gauge-covariant derivative transforms correctly to numerical precision, the minimally coupled Hamiltonian remains Hermitian, constant-field minimal-coupling dispersion is recovered, positive and negative branch structure is preserved, norm conservation is maintained, and finite-response deviations grow as coherence is reduced. Final audit label: PASS_STRONG: V23 recovers the minimal emergent gauge-coupling doorway for the ECSM electron-like packet. This result does not claim a full QED derivation. It does not derive the magnetic moment, anomalous magnetic moment, Lamb shift, scattering amplitudes, or radiative corrections. The result is narrower: ECSM now has an electron-like packet with a near-electron rest-energy scale, coherent-limit Dirac-like propagation, and a minimal emergent gauge-coupling doorway. GitHub notebook: https://github.com/asheldrick-research/ecsm-framework/blob/main/ECSM_Electron_Like_Packet_Emergent_Gauge_Coupling_V23_CLEAN.ipynb
A previous ECSM paper identified a minimal electron-like response packet as a finite-radius, occupancy-locked, unit-negative localised configuration with branch counts (N_+, N_0, N_-) ≃ (0,1,3) and q_eff ≃ -1. That result established an electron-like stability candidate within a toy ECSM stability-functional model, but did not test whether the packet can support an internal spin-like orientation. This paper tests whether the previously identified electron-like packet can consistently host a two-state internal orientation p=+1 and p=-1, represented by a two-component spinor basis with Pauli closure, SU(2) norm preservation, and perturbative recovery. Using the V4b internal-orientation notebook, the V3b-like packet remains close to the electron-like occupancy scaffold, with N_+ = 9.72e-4, N_0 = 1.000146, N_- = 2.998882, and q_eff = -0.999304. The two internal orientation states relax to p_+ = +1 and p_- = -1, with near-degenerate energies and relative energy difference ≃ 1.28e-16. The spinor basis states are orthogonal, have unit norm, and satisfy the Pauli algebra tests. SU(2) rotation preserves spinor norm to numerical precision, and perturbation recovery returns both p=+1 and p=-1 states to their original sectors. All fourteen final V4b verdict criteria pass. The result does not derive physical electron spin, the Dirac equation, magnetic moment, or QED. It establishes a narrower ECSM result: the previously identified electron-like response packet can consistently host a recovered two-state internal orientation satisfying orthogonality, Pauli closure, SU(2) norm preservation, and perturbative recovery.
This paper reports the V9 ECSM electron-like packet exclusion test. Building on prior ECSM packet tests of Dirac-like propagation, response-potential dynamics, and gauge-covariant phase coupling, the work constructs antisymmetric two-packet states from electron-like ECSM response packets. The V9 notebook passes all 21 final criteria. Identical single-particle states antisymmetrise to zero, separated same-internal states remain allowed, same-location orthogonal internal states remain allowed, exchange produces the required minus sign, one-particle marginals normalise correctly, and both unitary and χ-deformed propagation preserve the antisymmetric exclusion structure. The result is not claimed as a derivation of full fermionic quantum field theory or full Fermi–Dirac thermodynamics. It is presented as a minimal exclusion-sector bridge showing that the ECSM electron-like packet scaffold can support fermion-like antisymmetry and Pauli-like identical-state exclusion.
This paper reports the V10 ECSM electron-like packet many-mode filling test. Building on the previous ECSM packet sequence, including Dirac-like single-packet propagation, response-potential dynamics, gauge-covariant phase coupling, and two-packet fermion-like antisymmetry, the work extends the construction into a finite many-mode filling structure. A basis of eight electron-like ECSM response-packet modes is constructed, organised into four spatial shell centres with two internal states per centre. The V10 notebook passes all 22 final criteria. Duplicate occupancy collapses the determinant to zero, same-shell orthogonal internal filling remains allowed, separated same-internal filling remains allowed, all finite modes can be filled once, and overflow by duplicate occupancy is forbidden. The test also shows that common unitary propagation preserves the filled determinant and Gram overlap structure to numerical precision. χ-deformed propagation preserves the same filling structure while changing the many-mode transport span, supporting the interpretation that χ modifies response transport without destroying fermion-like occupancy. The result is not claimed as a derivation of the periodic table, full many-body quantum field theory, or the spin-statistics theorem. It is presented as a reproducible many-mode bridge showing that the ECSM electron-like packet scaffold can support finite fermion-like filling, duplicate exclusion, and shell-capacity proxy behaviour.
This paper extends the ECSM electron-like packet programme from static bound-shell structure and operator-derived transition amplitudes to a finite-response transition-rate kernel. Building on the V15c construction, an inherited electron-like packet scaffold is promoted into rate-like kernels and used to derive finite-response population relaxation between bound shell families. The inherited packet remains electron-like, with effective charge q_eff ≈ -0.9993, preserved Dirac-like alpha/beta algebra closure, 32 finite modes, and 54 coherent allowed transitions grouped into the three forward families l0→l1, l1→l2, and l2→l3. Forbidden transition strengths and rates vanish numerically. Coherent anisotropy and coherent chi preserve the three-family scaffold, while excessive anisotropy or low chi exposes additional reversed or leaked transition families, interpreted as degraded finite-response diagnostics. A finite-response relaxation calculation conserves total probability to numerical precision while reducing the initially excited l=3 shell population. The result is not claimed as a physical QED lifetime calculation, but as a structural ECSM bridge from bound electron-like modes to operator-derived transition rates and finite-response relaxation dynamics.
Unified Dynamics on Tetrahedral Packet Complexes develops a finite relational dynamics on tetrahedral packet complexes while explicitly separating exact combinatorial and operator-theoretic results from downstream physical interpretations. The local carrier is the tetrahedral graph K4 with automorphism group S4 and an opposite-edge parity fiber Θ ≅ F2^3, yielding a symmetry-resolved packet carrier of cardinality 24 × 8 = 192. On the filled tetrahedron and on glued tetrahedral complexes, the manuscript constructs a real skew Hodge–Dirac generator from oriented simplicial boundary maps and derives exact support conservation, single-cell spectral recurrence, invariant adjacent-degree exchange channels, hard transport and closure gates, endogenous Hamming branch projectors, receipt-conditioned affine Θ transport, and relative-frame extraction from oriented one-chain transport. The revised manuscript extends the receipt architecture with address-, frame-, and shell-resolved representations. On the current scoped receipt domain, the shell-resolved connection distinguishes all 44 active receipt labels and all 45 states including null. Constructive no-go results show that endpoint state, pair-address conservation, receipt-index totals, and carrier history do not by themselves determine lineage predecessor provenance. The manuscript also reports separately typed operational correspondence tests using public IBM quantum-error-correction datasets. These tests show that incomplete mid-circuit parity history does not generally determine a terminal residual and that a frozen last-transition predictor transfers across independent IBM backends. These correspondence results are not identified with the K4, Θ, or simplicial-chain carrier and are not treated as same-carrier validation of Unified Dynamics. Open-system extensions distinguish conservative redistribution from contraction and relate the transport Gram defect to complementary Kraus leakage under a unitary dilation. The paper also analyzes local 2↔3 Pachner retriangulation, glued support carriers, B/C dynamical isomorphism, topology-sensitive spectral splitting, and no-go results for finite global recurrence on the analyzed complexes. This release includes the revised peer-review manuscript together with a reproducibility supplement and provenance/hash records. The mathematical results are finite internal-structure statements. No identification with physical spacetime, Standard Model fields, elementary particles, or empirical coupling constants is claimed. Physical promotion remains 0 pending independently closed carrier, constitutive, unit, observable, continuum, and empirical-validation bridges.