We formulate a Lorentz-covariant action-principle foundation for a quantum substrate by representing the conserved substrate variable as a non-negative scalar field \(S\) on a bundle \(E=M\times F\), where \(M\) is a Lorentzian spacetime manifold and \(F\simeq\mathbb{R}_{\ge0}\) encodes Causality-Interval structure. The fundamental substrate action is defined on \(E\), while matter and gravitational observables couple only to the Collapse-Boundary-projected field \(S_{\mathrm{obs}}^{(\nu)}(x)= \int_F K^{(\nu)}(x,\xi;u^\mu)S(x,\xi)\,d\xi\). This separation preserves Lorentz covariance at the bundle level while allowing sector-dependent projected dynamics after projection. The projected sector structure is expressed through a modal response operator \(\mathcal{O}^{(\nu)}_{\rm QSD} = \mathcal{T}_{c_t} + \mathcal{B}_\nu\mathcal{C}^{(\nu)}_{c_s}\), where \(c_t\) is the transverse substrate mode-rate and \(c_s(\nu)\) is the scalar recovery or clearance mode-rate of a mass-conditioned sector. Thus \(c_s(\nu)=\nu c_t\) is a substrate mode-ratio relation, not a second speed of light. From the transverse coherence length \(L_{\rm coh}=\hbar/(mc_t)\) and the recovery interval \(\tau_\nu=L_{\rm coh}/c_s(\nu)\), we obtain the cross-modal recovery energy \(E_{\rm rec}^{(\nu)} = \hbar/\tau_\nu = m c_t c_s(\nu) = \nu m c_t^2\). For the fermionic branch, \(\nu=2\) and \(c_t=c\) give \(E_{\rm rec}^{(2)}=2mc^2\), matching the inverse angular-frequency scale of Dirac zitterbewegung without interpreting \(c_s\) as transverse propagation. We derive the substrate Euler--Lagrange equation, state the associated conservation and quantization structures, and organize matter coupling, Dyson mass dressing, \(C\ell(6)\)-compatible representations, coherence-envelope branches, and weak-field gravitational recovery as admissibility conditions or downstream solution branches. The result is a compact Lorentz-covariant Lagrangian base for systematically developing QSD.
We formulate a Lorentz-covariant action-principle foundation for a quantum substrate by representing the conserved substrate variable as a non-negative scalar field (S) on a bundle (E=M\times F), where (M) is a Lorentzian spacetime manifold and (F\simeq\mathbb{R}{\ge0}) encodes Causality-Interval structure. The fundamental substrate action is defined on (E), while matter and gravitational observables couple only to the Collapse-Boundary-projected field (S{\mathrm{obs}}^{(\nu)}(x)= \int_F K^{(\nu)}(x,\xi;u^\mu)S(x,\xi),d\xi). This separation preserves Lorentz covariance at the bundle level while allowing sector-dependent projected dynamics after projection. The projected sector structure is expressed through a modal response operator (\mathcal{O}^{(\nu)}{\rm QSD} = \mathcal{T}{c_t} + \mathcal{B}\nu\mathcal{C}^{(\nu)}{c_s}), where (c_t) is the transverse substrate mode-rate and (c_s(\nu)) is the scalar recovery or clearance mode-rate of a mass-conditioned sector. Thus (c_s(\nu)=\nu c_t) is a substrate mode-ratio relation, not a second speed of light. From the transverse coherence length (L_{\rm coh}=\hbar/(mc_t)) and the recovery interval (\tau_\nu=L_{\rm coh}/c_s(\nu)), we obtain the cross-modal recovery energy (E_{\rm rec}^{(\nu)} = \hbar/\tau_\nu = m c_t c_s(\nu) = \nu m c_t^2). For the fermionic branch, (\nu=2) and (c_t=c) give (E_{\rm rec}^{(2)}=2mc^2), matching the inverse angular-frequency scale of Dirac zitterbewegung without interpreting (c_s) as transverse propagation. We derive the substrate Euler--Lagrange equation, state the associated conservation and quantization structures, and organize matter coupling, Dyson mass dressing, (C\ell(6))-compatible representations, coherence-envelope branches, and weak-field gravitational recovery as admissibility conditions or downstream solution branches. The result is a compact Lorentz-covariant Lagrangian base for systematically developing QSD.
We formulate a Lorentz-covariant action-principle foundation for a quantum substrate by representing the conserved substrate variable asa non-negative scalar field S on a bundle E=M×F, where M is aLorentzian spacetime manifold and F≃R≥0 encodesCausality-Interval structure. The fundamental substrate action is defined onE, while matter and gravitational observables couple only to theCollapse-Boundary-projected fieldSobs(ν)(x)=∫FK(ν)(x,ξ;uμ)S(x,ξ)dξ.This separation preserves Lorentz covariance at the bundle level whileallowing sector-dependent projected dynamics after projection.The projected sector structure is expressed through a modal response operatorOQSD(ν)=Tct+BνCcs(ν),where ct is the transverse substrate mode-rate and cs(ν) is thescalar recovery or clearance mode-rate of a mass-conditioned sector. Thuscs(ν)=νct is a substrate mode-ratio relation, not a second speed oflight. From the transverse coherence lengthLcoh=ℏ/(mct) and the recovery intervalτν=Lcoh/cs(ν), we obtain the cross-modal recovery energyErec(ν)=ℏ/τν=mctcs(ν)=νmct2.For the fermionic branch, ν=2 and ct=c giveErec(2)=2mc2, matching the inverse angular-frequency scale ofDirac zitterbewegung without interpreting cs as transverse propagation.We derive the substrate Euler--Lagrange equation, state the associatedconservation and quantization structures, and organize matter coupling, Dysonmass dressing, Cℓ(6)-compatible representations, coherence-envelopebranches, and weak-field gravitational recovery as admissibility conditions ordownstream solution branches. The result is a compact Lorentz-covariantLagrangian base for systematically developing QSD.
Standard quantum mechanics and quantum field theory provide highly successful statistical and dynamical descriptions of emission, measurement, and detection, but they do not specify a substrate-level mechanism by which hidden pre-observational structure becomes a discrete recorded outcome. We develop such a mechanism within Quantum Substrate Dynamics (QSD) while leaving the predictive machinery of QM and QFT intact. The framework organizes local quantum evolution into finite Causality Intervals (CIs) terminated by Collapse Boundaries (CBs), where scalar-sector structure is re-locked, filtered, and, when admissible, serialized into transverse propagation. We distinguish a \emph{Quantum Emission Opportunity} (QEO), defined as a pre-collapse scalar admissibility condition, from a \emph{Quantized Emission} (QE), defined as the post-CB serialized output that survives re-locking and projects into an allowed transverse channel. In this account, most QEOs do not become emissions: they may lose alignment, fail CB filtering, lack sufficient recovery capacity, or be reabsorbed into the scalar recovery process. We formulate the QEO/QE pipeline in terms of CB-local admissibility, projection coefficients, environmental shaping, and detector-envelope conversion. The Born-rule form is retained operationally and interpreted as the normalized squared projection of surviving scalar structure onto the locally admissible transverse-mode family at the CB. Apparent probability is then understood as a coarse-grained description over unresolved scalar-sector configurations and CI histories, rather than as an additional stochastic ingredient at the substrate level. The framework also gives a limited treatment of entanglement as conditional two-region serialization under shared preparation, while deferring full Bell-factorization and CI-space ontology to companion work. Finally, we identify structured experimental signatures suggested by the pipeline, including mode-selective suppression, detector-envelope asymmetry, post-boundary spectral shaping, interferometric residuals, and CI-pacing effects. The contribution is structural and interpretive: QSD supplies a causal substrate account beneath the established quantum formalism, clarifying how QEO formation, CB filtering, serialization, environmental shaping, and detection may underlie the discrete outcomes described by standard theory.
Quantum mechanics and quantum field theory (QM/QFT) offer precise mathematical tools for describing microscopic systems, but remain ambiguous with regard to the precise nature of collapse, measurement, and causal structure. This work introduces a structural reinterpretation of quantum evolution grounded in a conserved, Lorentz-compatible coherence substrate. Within this framework, wavefunctions are understood as phase-supported structures that evolve over finite causal intervals bounded by collapse events. We propose that Planck’s constant encodes structural thresholds of the substrate’s capacity to support coherent evolution. These limits define a minimum spatial and temporal envelope—referred to as the coherence tick—during which standard QM/QFT behavior is valid. Collapse is not introduced as a measurement postulate, but emerges as a necessary structural re-lock at the end of each coherence interval. The Collapse Boundary is thus a physically meaningful event horizon, and if energy or configuration offload is required, a Quantum Emission Opportunity (QEO) occurs. This framework preserves all predictive results of QM/QFT while offering a physically causal explanation for collapse timing, wavefunction termination, and entanglement. It resolves the quantum time asymmetry paradox by distinguishing between internal evolution (experienced in +t) and external observation (reconstructed in −t). By reinterpreting Planck constants as causal boundary conditions rather than universal abstractions, this model provides a substrate-based foundation beneath conventional quantum dynamics—one in which measurement, correlation, and irreversibility arise from finite structural support, not observer-induced discontinuity.
Quantum mechanics and quantum field theory (QM/QFT) offer precise mathematical tools for describing microscopic systems, but remain ambiguous with regard to the precise nature of collapse, measurement, and causal structure. This work introduces a structural reinterpretation of quantum evolution grounded in a conserved, Lorentz-compatible coherence substrate. Within this framework, wavefunctions are understood as phase-supported structures that evolve over finite causal intervals bounded by collapse events. We propose that Planck’s constant encodes structural thresholds of the substrate’s capacity to support coherent evolution. These limits define a minimum spatial and temporal envelope—referred to as the coherence tick—during which standard QM/QFT behavior is valid. Collapse is not introduced as a measurement postulate, but emerges as a necessary structural re-lock at the end of each coherence interval. The Collapse Boundary is thus a physically meaningful event horizon, and if energy or configuration offload is required, a Quantum Emission Opportunity (QEO) occurs. This framework preserves all predictive results of QM/QFT while offering a physically causal explanation for collapse timing, wavefunction termination, and entanglement. It resolves the quantum time asymmetry paradox by distinguishing between internal evolution (experienced in +t) and external observation (reconstructed in −t). By reinterpreting Planck constants as causal boundary conditions rather than universal abstractions, this model provides a substrate-based foundation beneath conventional quantum dynamics—one in which measurement, correlation, and irreversibility arise from finite structural support, not observer-induced discontinuity.
Quantum mechanics predicts measurement outcomes with remarkable accuracy, yet it does not identify the physical mechanism that produces them. Standard formalisms treat collapse as an external postulate or an informational update, leaving the origin of measurement undefined. This paper develops a substrate-based account in which measurement arises from the structural properties of mass rather than from observation, information, or consciousness. Within the Quantum Substrate Dynamics (QSD) framework, all stable matter possesses a finite coherence envelope and participates in discrete Causality Intervals (CIs) that bound how the substrate can reconfigure. Massless excitations such as photons do not possess coherence envelopes and therefore cannot induce or modify collapse; they only traverse the geometric constraints imposed by nearby mass-phase structures.From this asymmetry, a coherent picture of measurement emerges. Collapse occurs when the envelope of a mass-phase structure overlaps a propagating excitation and enforces local CI pacing and curvature--compliance limits, defining which outcomes are structurally supportable. This mechanism reproduces the behavior of detectors, the material dependence of diffraction, the emergence of interference patterns only at mass-phase boundaries, and the well-established fact that light beams in free space do not interact. Classical paradoxes: Wigner's friend, Schrodinger's cat, contextuality, and delayed-choice interference are resolved without invoking global wavefunctions, observer-dependent realities, or branching worlds.The result is a fully physical, mass-induced account of quantum measurement. Collapse becomes a structural re-lock within the substrate rather than an epistemic update or interpretational supplement. This framework preserves the successful predictions of quantum theory while supplying the missing mechanism: observation is not a special act, but the structural consequence of mass interacting with serialized, massless propagations under finite substrate throughput.Version 2 Revision:The title and abstract have been updated to improve clarity and better reflect the paper’s central mechanism. No changes have been made to the analysis or conclusions.
Q Quantum Theory is formulated here at the foundational and quantum-mechanical level. Its basic postulate is that the physical quantum entity, denoted by Q, is the whole quantum state rather than an independently real material point whose unknown position is described by a secondary probability cloud. In a one-Q sector admitting a local amplitude representation,\begin{equation} Q(x)=\sqrt{\rho(x)}\,e^{i\theta(x)}Z(x),\end{equation}where x is a spacetime point, ρ is the Born response weight, θ is the phase, and Z is a normalized internal structural direction. A dagger denotes the Hermitian adjoint and ∂μ differentiates with respect to xμ. The decomposition has a local rephasing redundancy. This is a redundancy of the local factorization of the complete Q amplitude, not the physical electromagnetic U(1) gauge symmetry. The associated decomposition-invariant phase-orientation one-form is\begin{equation} \kappa_\mu=\partial_\mu\theta-iZ^\dagger\partial_\mu Z =\frac{\operatorname{Im}\langle Q,\partial_\mu Q\rangle}{\rho}, \qquad \rho>0.\end{equation}In Schr\"odinger correspondence sectors this structure yields exact probability-current and momentum identities, including the standard Abelian gauge-covariant current. In that audit the electromagnetic connection is a correspondence variable; its Q-level interpretation as a local representation of inter-Q relational comparison geometry is developed in the companion manuscript Paper II-A. Klein-Gordon and Dirac audits show that relativistic currents and stress-energy depend on the Lorentz representation: κμ carries phase-orientation translation structure, while amplitude gradients and internal orientation can contribute independently to energy and stress. The standard Hilbert-space probability calculus is retained. Interference, tunnelling, entanglement, localized detection and cloud-chamber tracks are interpreted as properties or records of whole-Q states rather than as evidence for hidden point trajectories. Entanglement is represented by a nonfactorizable joint Q state; standard Bell correlations and no-signalling are retained without identifying correlation with a superluminal physical signal. Boundaryless state support is distinguished from the propagation of a newly generated disturbance, which is required to obey retarded relativistic causality. For stable relativistic sectors, invariant mass is treated as a derived characterization of the translation spectrum: timelike Q states possess a rest frame and rest energy, whereas null Q states do not. The foundational structure does not specify a unique interaction action or establish ultraviolet finiteness. Finite-response dynamics requires a separate construction.