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Quantum Reality from Micro-Causal Geometry: A Wavefunction-Free Resolution of Quantum Paradoxes

Jau Tang

Published Nov 7, 2025• 0 citations
Publisher

Abstract

We present a quantum framework grounded in micro-causality and spacetime quantization, where spacetime is composed of discrete, causally ordered units rather than a continuous manifold. This intrinsic structure naturally generates fundamental quantum features—wave–particle duality, energy quantization, and the Heisenberg uncertainty principle—without invoking canonical quantization, matter-wave postulates, or harmonic-oscillator models. Consequently, this paradigm eliminates the long-standing paradoxes of wavefunction collapse, self-interference, and non-local spooky correlations in entanglement.Within this causal lattice spacetime, quantum commutation relations emerge from finite shift operators, and the uncertainty principle arises geometrically from non-commutativity at the fundamental level. Unlike standard quantum field theory (QFT), which predicts infinite vacuum energy and requires renormalization, the present framework removes zero-point energy, ultraviolet divergences, and fine-tuning. Moreover, U(1) symmetry is broken geometrically on the lattice, leading to mass generation without a Higgs mechanism.The Casimir effect is reinterpreted as a temperature-dependent imbalance in thermal radiation pressure rather than the consequence of vacuum fluctuations, predicting that the Casimir force should vary with ambient temperature. Experimental confirmation of such dependence would directly support the lattice interpretation and challenge the QFT view of vacuum energy.By unifying key quantum behaviors through discrete causal geometry, this model offers a divergence-free and physically grounded alternative to continuum-based QFT. It opens new avenues for quantum unification, cosmology, and the understanding of fundamental constants, without speculative constructs, singularities, or infinities.

DOI
10.20944/preprints202511.0465.v1

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Abstract We present a new quantum reality paradigm in which classical particles interact deterministically with quantized electromagnetic fields embedded in a causal lattice spacetime. This interaction induces discrete momentum transfers that account for the dot-like buildup of double-slit interference fringes, the bifringes of Stern–Gerlach spin separation, and the correlations observed in entanglement experiments. In this framework, Heisenberg uncertainty, de Broglie duality, and even the Dirac equation emerge as consequences of causal and quantized field dynamics, rather than as postulated axioms. The model provides experimentally testable predictions such as momentum-transfer sidebands and Casimir force temperature dependence, distinguishing it from both the Copenhagen interpretation and recent alternative proposals. By grounding quantum phenomena in causal field–particle interactions, this paradigm offers a transparent and physically consistent alternative to the Copenhagen interpretation—fulfilling the completeness that Einstein believed the conventional theory lacked.
This paper proposes the Excitation Field Unification (EMU), a theoretical framework that unifies quantum mechanics and general relativity by redefining the fundamental structure of spacetime. We posit that the universe is not a continuous manifold but a discrete lattice of physical scalar oscillators (Quantum Circulation Loops). By rejecting the probabilis- tic interpretation of the wave function in favor of a realistic "physical rotation" model, we demonstrate that matter and mass emerge inevitably as topological defects (winding num- bers) within this lattice. Furthermore, we derive the wave-particle duality and the de Broglie relations as geometric consequences of pattern propagation on the lattice, without invoking the collapse of a wavefunction. This work constitutes Part I of a trilogy, focusing on the ontology of the quantum state and the origin of mass, setting the stage for the emergence of gravity (Part II) and fundamental constants (Part III).
We propose a unified physical framework in which four-dimensional spacetime vacuum is the unique physical reality, and all quanta are its localized topological excitations. Matter particles correspond to stable knot-like configurations, while radiation quanta correspond to weak propagating ripples of the same substrate. From this single ontological commitment, we derive: (1) wave–particle duality is resolved—particle behavior belongs to the localized excitation, wave behavior to the disturbance field it generates in spacetime; (2) double-slit interference arises from coherent superposition between a quantum's newly sourced disturbance and its own historical disturbance field, not from ontological self-superposition; (3) the wave function is a statistical tool encoding ensemble distributions of trajectories modulated by disturbance feedback, and collapse is epistemic convergence rather than a physical process; (4) quantum entanglement corresponds to Planck-scale topological connectivity (microscopic Einstein–Rosen bridges), preserving relativistic causality; (5) gravity is the macroscopic accumulation of universal but individually weak quantum–vacuum couplings, explaining both its microscopic weakness and macroscopic dominance without requiring a graviton; (6) the four fundamental interactions are differentiated coupling modes of quanta to one spacetime vacuum field; and (7) apparent dark matter and dark energy are reinterpreted as collective topological curvature and large-scale vacuum self-relaxation, respectively. We formulate falsifiable predictions at both laboratory and cosmological scales, including disturbance–corpuscle separation interferometry, tunable decoherence threshold measurements, and galaxy rotation–topology correlations. The framework compresses the conventional axiomatic structure of quantum mechanics and cosmology into one master axiom and eliminates at least twenty-eight independent interpretive assumptions.
We present a revolutionary reformulation of quantum vacuum fluctuations as deterministic classical wave modes of fundamental fields Ξ_μν and φ within Structured Vacuum Theory, eliminating fundamental quantum uncertainty while reproducing all standard QFT predictions exactly. Vacuum fluctuations are reinterpreted as normal modes δφ(x) = Σ A_k·exp(ikx) with definite amplitudes and phases, not probabilistic phenomena. We derive the Casimir effect (-1.3×10⁻⁷ N/m² at d=1μm), vacuum energy density (1×10⁻⁹ J/m³), and Lamb shift (4.3×10⁻⁶ eV) deterministically, achieving numerical agreement with QFT within measurement precision. This demonstrates that "quantum randomness" emerges from practical ignorance of vacuum structure, not fundamental indeterminacy—vindicating Einstein's position that "God does not play dice." The framework resolves the measurement problem, eliminates wavefunction collapse paradoxes, and provides a coherent foundation where quantum mechanics emerges as the statistical shadow of deterministic vacuum dynamics. Includes complete SageMath implementation for computing vacuum modes. This represents a paradigm shift from Copenhagen interpretation to deterministic quantum theory.