A previous article [20] established that any quantum phenomenon becomes observable, stable, or experimentally certifiable only under specific conditions of preparation, coherence, coupling, and measurement. The present work proposes its generalization: this process is not specific to the quantum regime. There exists an invariant physical dynamic by which degrees of freedom become effective within a spatiotemporal order, regardless of the regime considered. This dynamic is given a name here — omeance — and a characteristic constant: c.Omeance is articulated around three levels: the manifestable, the domain of degrees of freedom prior to any determined spatiotemporal order; the manifested, the order in which forms become localizable, relational, and physically objectifiable; and effective manifestation, the local regime in which certain forms of the manifested become certifiable, inscribed, and reproducible under specific conditions.This work revisits the status of the constant c. Without modifying any established equation, it proposes a foundational reading: c is not merely the speed of light in vacuum nor the geometric invariant of relativity — it is the characteristic constant of omeance, the invariant by which any spatiotemporal order becomes physically articulable. It follows that the manifested is continuous and wave-like — a structural consequence of the invariant c — while discreteness emerges in effective manifestation as a consequence of local conditions of certifiability.From these results follows a unification principle: there exists an invariant physical phenomenon by which degrees of freedom become effective under the form of a spatiotemporal order; this phenomenon, governed by c, is what every local physical manifestation presupposes. This principle has foundational value without being a dynamical law in the strict sense — it introduces neither new equation nor new constant, but identifies the common level that the major physical theories presuppose when they describe effective phenomena. It allows several fundamental structures — the quantum-classical boundary, gravitation, physical vacuum, time, entropy — to be reread as regimes of a single process of effectuation.
A previous article [20] established that any quantum phenomenon becomes observable, stable, or experimentally certifiable only under specific conditions of preparation, coherence, coupling, and measurement. The present work proposes its generalization: this process is not specific to the quantum regime. There exists an invariant physical dynamic by which degrees of freedom become effective within a spatiotemporal order, regardless of the regime considered. This dynamic is given a name here — omeance — and a characteristic constant: c.Omeance is articulated around three levels: the manifestable, the domain of degrees of freedom prior to any determined spatiotemporal order; the manifested, the order in which forms become localizable, relational, and physically objectifiable; and effective manifestation, the local regime in which certain forms of the manifested become certifiable, inscribed, and reproducible under specific conditions.This work revisits the status of the constant c. Without modifying any established equation, it proposes a foundational reading: c is not merely the speed of light in vacuum nor the geometric invariant of relativity — it is the characteristic constant of omeance, the invariant by which any spatiotemporal order becomes physically articulable. It follows that the manifested is continuous and wave-like — a structural consequence of the invariant c — while discreteness emerges in effective manifestation as a consequence of local conditions of certifiability.From these results follows a unification principle: there exists an invariant physical phenomenon by which degrees of freedom become effective under the form of a spatiotemporal order; this phenomenon, governed by c, is what every local physical manifestation presupposes. This principle has foundational value without being a dynamical law in the strict sense — it introduces neither new equation nor new constant, but identifies the common level that the major physical theories presuppose when they describe effective phenomena. It allows several fundamental structures — the quantum-classical boundary, gravitation, physical vacuum, time, entropy — to be reread as regimes of a single process of effectuation.
Every physical theory is constructed from observations performed within a physical frame, and this frame enters the theory at a level antecedent to its equations — in the categorical structure through which observations are organized into a formalism. This is a structural condition on physical theory as such, not a hypothesis about any particular physical phenomenon; its character is analogous to the principle of general covariance, which constrains the form of physical laws without predicting the behavior of any specific system. The condition has a precise formal consequence in the geometric setting: for any non-invariant tensor field under a frame- transformation group, the components specified in any single frame are insufficient to determine the underlying geometric object without explicit specification of the frame. This consequence has been articulated four times in the foundations of physics — in the tensor reformulation of electrodynamics, in the relativity of simultaneity, in the unification of energy and momentum, and in the geometric unification of space and time — each time by identifying a frame-dependence carried implicitly in the prevailing formalism and absorbing it into a geometric object across the class of frames. Rovelli’s (1996) relational quantum mechanics is the most explicit contempo- rary articulation of the structural condition: the frame is the physical system to which a quantum state is referred, and the relational structure is exhibited directly at the level of the measurement interaction. The condition implies that relationality must arise wherever current physics is examined at the level of its foundations — not because relationality is a fundamental feature of the physics under description, but because it is a necessary feature of any theory constructed from observations performed within physical frames, and open foundational problems are most plausibly resolved by making implicit frame-dependences explicit rather than by eliminating them.
This work presents a minimal and unified formulation of physical reality based on a single coupled system of two scalar fields: a phase S(x) and a realization density ρ(x). The dynamics is completely determined by two principles: conservation of a realization current and a geometric constraint linking the norm of the phase gradient to the structure of the density field. Together, these relations form a closed system with no additional dynamical assumptions. From this system, all major physical regimes emerge as limiting cases. When the density is uniform, propagation is null and describes lightlike behavior. When the geometric constraint reduces to a constant, the system reproduces classical Hamilton–Jacobi dynamics for massive particles. When the density varies significantly, the coupled system yields quantum behavior, including the Schrödinger equation in the appropriate limit. In this framework, the wave function is not a fundamental entity but an emergent representation of the underlying geometric structure of realization. Interference arises from phase consistency, and quantum behavior reflects the nontrivial structure of the realization density rather than intrinsic indeterminism. The theory also naturally incorporates gravitation by promoting the spacetime metric to a dynamical field. In the appropriate limit, the stress–energy tensor reduces to that of classical matter, and Einstein’s field equations are recovered. Regions where the realization density approaches zero define a geometric boundary where timelike realization ceases, corresponding to horizon-like structures. The central result is that a single coupled equation governs propagation, mass, quantum behavior, and gravitational structure. Physical reality is determined by global consistency of realization rather than by selection among multiple possibilities. This formulation provides a minimal geometric unification of light, matter, quantum phenomena, and gravity within a single coherent framework.
We introduce physical phase invariance as a minimal, observer-independent principle capable of unifying quantum theory and relativity. By identifying the physical phase with the classical action measured in units of Planck’s constant, the framework assigns phase a direct operational meaning. Spacetime structure, Lorentz invariance, and quantum probabilistic behavior emerge as effective descriptions of underlying phase dynamics rather than fundamental postulates. Time is defined relationally through phase evolution, and classical motion arises from stationary phase conditions. A simple dynamical equation for the phase field is proposed, while quantum probabilities are shown to result from statistical coarse-graining over unresolved phase degrees of freedom. This approach provides a coherent conceptual foundation linking quantum mechanics, special relativity, and gravitation.
Modern physics provides empirically complete and highly successful descriptions of local dynamics. General relativity specifies the causal evolution of spacetime geometry, and quantum mechanics specifies the unitary evolution of states. Despite this success, both frameworks leave implicit a foundational question: when a dynamically admissible configuration can be regarded as physically realized as part of a coherent world. This work introduces a minimal, non-dynamical realization criterion that formally closes this gap. Physical realization is defined as a global, temporally organized admissibility condition constrained by relativistic causality. The criterion does not modify any local equations of motion, introduce new forces, fields, particles, or degrees of freedom, nor alter the mathematical structure of existing theories. Instead, it identifies realization as an organizational condition required for dynamical solutions to become physically instantiated. A minimal causal bound T = L / c is shown to follow directly from relativistic causal structure, implying a finite organizational time for global coherence across a spatial extent L. The associated inverse scale Ω = c / L is clarified as a structural constant rather than a dynamical frequency: it has no oscillatory interpretation, carries no energy, and does not represent a physical process. Its role is purely limiting—it marks the minimal global temporal orientation required for realization to persist. Within this framework, classical gravitational optics, delayed global geometric organization, and quantum outcome realization arise as direct consequences of the same realization criterion. The contribution of this work is exclusively structural: it makes explicit a condition already implicit in successful physical theories and provides a formal closure without extending or revising their dynamics. This paper concludes a broader research program on temporal realization, gravitational organization, and global coherence by isolating realization as a necessary condition for physics to describe a world at all.
Contemporary fundamental physics is characterized by a plurality of highly successfulbut structurally heterogeneous theories, including general relativity, quantum mechanics,gauge field theories and a wide range of effective theories. Despite sustained efforts, thesetheories resist unification by straightforward dynamical reduction, raising the questionof whether unification itself has been improperly framed.This paper proposes projection invariance as a classification principle for physical the-ories and develops a taxonomy based on the structures preserved under projection. Effec-tive theories are understood as arising from invariance-preserving projections of a com-mon generative structure, with their defining characteristics encoded in their projection-invariant signatures. Rather than introducing new dynamics, the framework organizesphysical theories according to symmetry, locality, causality, information preservation andobservational closure. Within this classification, general relativity, quantum mechanicsand gauge field theories emerge as high-invariance anchor classes, while effective fieldtheories, thermodynamics, hydrodynamics and decoherence-based models appear as sys-tematically reduced classes.The projection-invariance taxonomy provides a principled framework for comparingeffective theories, clarifying foundational questions and guiding the construction of novelphysical descriptions. It also leads to an alternative interpretation of unification andphysical laws: Unification is reframed as a problem of classification rather than deriva-tion, i.e. not being achieved through reduction to a single set of equations but throughstructural compatibility and coexistence within a common theory space. Physical lawsand constants may be understood, not as descriptions of underlying dynamical mech-anisms but as stable relational patterns that persist under projection and invariancepreservation.
In contemporary physics, fundamental structures such as space, time, matter, spin, and measurement are typically introduced as independent primitives or axiomatic ingredients. While quantum mechanics and relativistic field theories describe these structures with extraordinary precision, they do not explain why such structures exist, why they are discrete or stable, nor why reality manifests in exactly three spatial dimensions with an irreversible arrow of time. This work presents a unified informational–geometric framework—the Universal Gravito–Informational Theory (TGIU)—in which physical reality emerges from a pre-geometric informational substrate governed by two complementary gradients: informational coherence (Φ) and informational entropy (S). Their interaction is regulated by a real-valued dynamical mechanism composed of the Curvature–State Transform (CST) and the TGIU Equilibrium Force (TEF). Together, these operators generate bounded, orthogonal informational rotations whose stabilized projections give rise to geometry, matter, and observable physical laws. Within this framework, electron orbitals are reinterpreted as CST limit cycles, spin emerges as the topological orientation of these cycles, and the Pauli exclusion principle arises from phase–space saturation rather than postulated antisymmetry. Atomic stability, the absence of radiative decay in stationary states, fine structure, and the Lamb shift are shown to follow from TEF anisotropy and vacuum curvature granularity, while remaining fully consistent with quantum electrodynamics in its predictive domain. Measurement and wavefunction collapse are described as local TEF locking events, providing a deterministic but non-restorative mechanism for outcome selection without invoking fundamental randomness. Time itself is shown to emerge as monotonic CST phase accumulation, explaining both its one-dimensional nature and its irreversibility as geometric consequences of bounded informational curvature. The existence of exactly three spatial dimensions follows from a CST dimensional closure condition, identifying three dimensions as the only geometry capable of sustaining stable, non-divergent informational rotation. Importantly, TGIU does not replace quantum mechanics, general relativity, or field theory. Instead, it supplies a deeper explanatory layer that clarifies why these frameworks work, why their structures are constrained as observed, and why no physical process can reach absolute annihilation or infinite divergence. Extremes are not restored but redirected: identity is not conserved, yet nature persists through renewed coherence. This work positions TGIU as an empirically motivated, geometrically grounded extension of modern physics—one that unifies matter, time, measurement, and dimensionality under a single informational principle, while remaining compatible with established theories in their respective limits.