The constancy of the speed of light () in all inertial frames of reference is the foundational postulate of Special Relativity, although its ontological origin remains abstract in classical physics. In this work, we address Lorentz invariance from the framework of Quantum Diffusion (QD) . We propose that the speed limit is not an intrinsic property of objects in extended space , but rather a constraint imposed by the "observation map" that projects multidimensional reality onto accessible 3+1D space. We interpret it as the maximum rate of information propagation allowed by the structure of the ambient coarse-graining . Under this interpretation, Lorentz invariance emerges as a robust symmetry ("pointer state") selected by the environment, guaranteeing that all observers, being constructions of the same reduced state, perceive the same causal update limit.
The constancy of the speed of light () in all inertial frames of reference is the foundational postulate of Special Relativity, although its ontological origin remains abstract in classical physics. In this work, we address Lorentz invariance from the framework of Quantum Diffusion (QD) . We propose that the speed limit is not an intrinsic property of objects in extended space , but rather a constraint imposed by the "observation map" that projects multidimensional reality onto accessible 3+1D space. We interpret it as the maximum rate of information propagation allowed by the structure of the ambient coarse-graining . Under this interpretation, Lorentz invariance emerges as a robust symmetry ("pointer state") selected by the environment, guaranteeing that all observers, being constructions of the same reduced state, perceive the same causal update limit.
This paper introduces the Relativity of Information Frames (RIF), a foundational framework that precedes and constrains dynamical theories. RIF treats information frames—σ-algebras of distinguishable events—as the fundamental objects of physical description, and formulates interaction as the joint realization of such frames subject to a symmetry principle: no information frame may be privileged over another. From this principle alone, the framework derives a canonical restriction on joint event structures. We prove the existence of a distinguished σ-algebra—the pointer algebra—which is the unique maximal event algebra compatible with perspectival symmetry and the existence of consistent probability assignments. Any empirical model admits a global probability measure on this algebra, while any strict extension generically fails to do so, reintroducing contextuality. These results impose non-trivial structural constraints that any admissible dynamics must respect. The framework is applied to quantum theory, not by postulating dynamics, but by showing how its core structures arise necessarily from informational consistency. Observables appear as perspectival maps, state update corresponds to interaction-induced coarse-graining, the Born rule follows from a martingale structure on the induced σ-algebra filtrations, Wigner-type scenarios are consistent, and unitary evolution is reinterpreted as gauge freedom in joint descriptions rather than ontic time evolution. RIF does not replace dynamical theories; it delimits them. It identifies which event structures, probability assignments, and symmetries are admissible prior to dynamics, and therefore clarifies what features of quantum theory are structural necessities rather than contingent dynamical postulates. The framework further implies intrinsic irreversibility, a relational notion of locality, and constraints on emergent geometric structure, which any subsequent dynamical formulation must accommodate.
This article presents a novel foundational framework for physics, grounded in a minimalist vectorial ontology. I propose that the unified fabric of reality is described by a fundamental abstract state space F, whose elements are normed vectors Ψ. From this single premise, a complete axiomatization of space-time and quantum phenomena is derived. The core innovation is the definition of space and time not as independent continua, but as complementary projections of the state vector: Ψ = (S, T). A set of nine axioms is introduced, imposing constraints on these components: their magnitudes are equal (|S| = c|T|), their directions are antiparallel (S = -T), and their evolution is a norm-preserving unitary redistribution. From these purely algebraic and geometric relations, I demonstrate the emergence of Minkowskian space-time with its Lorentzian metric, the invariant speed of light c, and a causal structure defined by the connectivity of F. The framework naturally incorporates quantum mechanics by identifying unitary evolution on F as the fundamental dynamical principle, with measurement and classicality arising via environmental decoherence and the dynamical selection of pointer states (Axiom IX). This work offers a path toward resolving the quantum gravity problem by suggesting that both geometry and quantum states are manifestations of a deeper vectorial substrate, thereby unifying relativity and quantum theory within a single, observer-independent mathematical structure.
A universal speed limit is derived using only Postulates P1 and P2 of the Quantum Entanglement Spacetime Theory (QuEST). No assumptions regarding metric geometry, field equations, or physical constants are introduced. The result follows solely from symbolic execution of local state influence over a discrete quantum hypergraph. The emergent maximum signal speed arises from finite causal connectivity and strict locality, and aligns with the observed speed of light under continuum coarse-graining. This derivation establishes the structural sufficiency of P1 and P2, independent of geometric constructs or continuum assumptions.
One of the concepts of Relativity theory that challenges conventional intuition the most is time dilation and length contraction. Usual approaches for describing relativistic effects in quantum systems merely postulate the consequences of these effects as physical constraints. Here, we propose to rebuild Special Relativity from quantum mechanical considerations. This is done by dropping one of its fundamental postulates: the universality of the speed of light. Lorentz transformations are obtained by a quantum mechanism. We use the fact that quantum states depend on the Galilean reference frame where they are defined. In other words, quantum states outside an observer's Galilean reference frame are distorted. Then, we show in a theorem the existence of time-dependent observables that are sensible to this distortion in such a way that their expectation value is a Lorentz-covariant function of time. We then postulate this mechanism as the source of the phenomena of Special Relativity. As a corollary of the main theorem, we show the existence of a Lorentz covariant momentum and mass operators which yield the relativistic momentum and mass. In this theory, the fundamental limit of the speed of light imposes a transparency condition for faster-than-light particles: they are allowed but they are not observable. The transparency effect could explain dark matter in a more general theory following this quantum formalism.
Abstract Maxwell unified the disparate concepts of electric and magnetic fields with one theory (electromagnetism) and Einstein then unified the disparate theories of electromagnetism and mechanics with one kinematics (Minkowski space of special relativity). In this talk, we will briefly explain how the disparate kinematics of quantum mechanics (finite-dimensional Hilbert space) and special relativity can be unified with one principle (relativity principle). This result follows from the axiomatic reconstruction of quantum mechanics via information-theoretic principles, which has successfully recast quantum mechanics as a principle theory a la Einstein, i.e., the formalism of the theory follows from an empirically discovered fact, just like special relativity. According to the quantum reconstruction program, the empirically discovered fact whence the Hilbert space formalism of quantum mechanics is Information Invariance & Continuity. Of course, the empirically discovered fact whence the Lorentz transformations of special relativity is the light postulate, i.e., everyone measures the same value for the speed of light c, regardless of their relative motions. Obviously, the light postulate can be justified by the relativity principle—the laws of physics are the same in all inertial reference frames—because c is a constant of Nature per Maxwell’s electromagnetism. [We label this “NPRF + c” for short, where NPRF stands for “no preferred reference frame.”] As we will show, Information Invariance & Continuity can also be justified by the relativity principle by first spatializing the quantum reconstruction program’s operational notion of measurement. In that case, Information Invariance & Continuity entails the empirically discovered fact that everyone measures the same value for Planck’s constant h, regardless of their relative spatial orientations or locations (Planck postulate). Since Poincar’e transformations relate inertial reference frames via spatial rotations and translations as well as boosts, and h is a constant of Nature per Planck’s radiation law, the relativity principle justifies the Planck postulate (NPRF + h) just like it justifies the light postulate (NPRF + c). Thus, the kinematics of quantum mechanics and special relativity are unified in that both follow most fundamentally from the relativity principle in the adynamical global constraints NPRF + h and NPRF + c. This approach provides a principle solution to the mystery of quantum entanglement that does not violate locality, statistical independence, intersubjective agreement, or the uniqueness of experimental outcomes and it does not alter quantum mechanics as a principle theory. An ontology consistent with this unification is introduced and we deflate both the ‘big’ and ‘small’measurement problems.
This paper presents a conceptual framework for reinterpreting the Lorentz transformation through the lens of quantum mechanics. By treating spacetime as a quantum structure, the author explores the eigenvalue nature of the speed of light (±c) and derives relativistic effects from the probabilistic superposition of lightlike intervals. Key highlights: - **Quantum Spacetime:** Proposes that space and time are not independent backgrounds but emerge from the quantum states of spacetime quanta. - **Derivation of Lorentz Transformation:** Demonstrates how the transformation arises from the statistical correlation of quantum states rather than classical kinematics. - **Philosophical Implications:** Offers a novel perspective on the ontology of motion, suggesting that reference frames are representations of quantum states. This work aims to provide an intuitive understanding of special relativity and stimulate discussion on the quantum nature of spacetime.