Dimensional Projection Theory: A Relational Framework Unifying Quantum Non-locality, Inertia, and Gravity

Vladimir V. Aristov

Edward C. Larson

This volume presents a comprehensive realist framework encompassing quantum foundations, quantum gravity, and the origin of inertia (Mach's Principle). It develops and builds upon a quantum ontology consisting of two fundamental ontic entities, called W-state and P-state, that respectively account for the wave- and particle-like aspects of quantum systems. W-state is a generalization of the wavefunction, but has ontic stature and is defined on the joint time-frequency domain. It constitutes a non-classical local reality, consisting of superpositions of quantum waves writ small. P-state enforces entanglement obligations and mediates the global coordination within quantum systems required to bring about wavefunction collapse in causal fashion consistent with special relativity. Quantum theory is rebuilt from the ground up, and the development then proceeds to quantum gravity, which is solved surprisingly easily once a good quantum foundations solution is in hand. It is solved not in the Planck regime, but in the testable regime of classical general relativity. The two great theories are intermeshed, and proposed testable solutions for the dark matter conundrum and origin of inertia are set forth. Both depend on non-local gravitational sourcing via P-state. The overall result is a robust architectural foundation for a (still elusive) Theory of Everything.

Claus Kiefer

AI Trinity Labo

This work presents Retarded Consistency Field Theory (RCFT) as a unified delayed-consistency framework in which the physically realized present is not assumed as a primitive instantaneous input to dynamics, but is instead selected from prior history through causal retarded consistency. In this formulation, time is not taken as a fundamentally given flowing background, but is reconstructed as the recursive order generated by repeated present selection. Within the same formal architecture, ordinary local classical mechanics appears as a narrow-memory compression of the delayed action. In flat and unbiased sectors, this yields inertial persistence. In structured or curved sectors, the same delayed-consistency principle gives rise to force-like and geodesic motion, allowing inertia and gravity at the motion level to be interpreted as neighboring limits of one common variational foundation. The work also develops a quantum extension in which the delayed action is quantized over histories, naturally leading to a history-space formulation rather than a description based only on instantaneous states. Ordinary quantum mechanics is then recovered as an endpoint-compressed narrow-memory limit of this broader historical framework. The result is a coherent unified foundation for the currently developed RCFT sectors: present selection, time, inertia, gravity at the trajectory level, and quantum history dynamics.

David Sepiashvili

In this work we introduce a series of metaformal experiments designed to test the internal consistency, generative capacity, and structural closure of the metaformal framework. Mathematical theories are treated not merely as formal constructions, but as experiments performed within a formal reality, whose outcomes diagnose the necessity and stability of underlying structures. We analyze three paradigmatic cases: Hodge theory, Chen’s iterated integrals, and Bell-type correlations. Hodge theory is shown to realize palindromic stabilization, where harmonic representatives correspond to structurally invariant projection sectors. Chen’s iterated integrals provide an explicit model of meta-nested generation, demonstrating how complexity can grow through non-commutative composition without loss of global coherence. Bell-type correlations are interpreted as projection traces of a single holistic eidetic structure, rather than as products of independent local variables, thereby eliminating the need for physical nonlocality at the level of realization. Within this framework, quantum uncertainty is reinterpreted as a structural dichotomy of meta-information arising from incompatible projection operators, rather than as a limitation of measurement or knowledge. Discreteness and quantization emerge as consequences of palindromic stabilization under projection selection. Furthermore, the mass–energy relation is given a metaformal interpretation as a structural equivalence between projection density and generative capacity, establishing a conceptual bridge toward physical realization. The results demonstrate that stability, correlation, and quantization can arise as necessary consequences of projection, selection, and fractal organization within meta-reality (meta-existence, meta-matter), without invoking fundamental dynamics or causal postulates. This work completes the mathematical cycle of the metaformal program and prepares the ground for its physical realization in theories of mass, inertia, and gravity.

Mojtaba Dadashkarimi