This paper challenges the fundamental reductionist paradigm of contemporary quantum mechanics by introducing a novel Holistic and Continuous Transmutation Apparatus. Instead of partitioning the cosmos into independent, finite sub-states or localized particles, the universe is formulated as a Single, Unified, and Globally Closed System governed by an invariant, absolute total energy-information bound. We redefine the physical "state" not as a static mathematical point, but as a continuous dynamic process of impermanent transmutation. This framework successfully resolves the quantum measurement problem and entanglement without invoking wavefunction collapse or metaphysical inflations like parallel universes.
This paper challenges the fundamental reductionist paradigm of contemporary quantum mechanics by introducing a novel Holistic and Continuous Transmutation Apparatus. Instead of partitioning the cosmos into independent, finite sub-states or localized particles, the universe is formulated as a Single, Unified, and Globally Closed System governed by an invariant, absolute total energy-information bound. We redefine the physical "state" not as a static mathematical point, but as a continuous dynamic process of impermanent transmutation. This framework successfully resolves the quantum measurement problem and entanglement without invoking wavefunction collapse or metaphysical inflations like parallel universes.
This paper introduces a mathematically unified, fully local, and realistic framework for quantum entanglement by deriving non-local correlations directly from the global invariants of a smooth, inherently non-commutative operator field manifold. Moving away from background-dependent spacetime stress tensors, we establish a strict ontological hierarchy where the universe is governed by a global operator invariant constraint, formulated as an eigenvalue equation (A^+B^)∣Ψ⟩=I∣Ψ⟩. We resolve previous fragmentation in topological interpretations by explicitly constructing the operators A^ and B^ as localized spatial integrals of a quantized winding density operator Ω^top(x) and establishing their formal evaluation action on the state space. In a zero-baseline vacuum (I=0), the states of localized field excitations are shown to be structural mirror images. Crucially, by modeling measurement as a geometric projection (the ``Shadow'' view), we provide the explicit algebraic derivation connecting the holistic state vector to the characteristic quantum cosine correlation −cos(θ1−θ2). This framework naturally violates Bell's inequalities up to the Tsirelson bound (22) while strictly preserving local causality, offering a mathematically cohesive alternative to the Copenhagen probability collapse.
Quantum mechanics is among the most successful mathematical frameworks in modern science, providing precise predictions, experimental validation, and wide-ranging technological applications. This success, however, has been accompanied by a long-standing suspension of a fundamental question: the ontological status of quantum itself. While dominant approaches emphasize how quantum phenomena behave, the question of what these behaviors are the behavior of has largely been deferred. This work does not propose a new physical theory, nor does it challenge the empirical or mathematical foundations of quantum mechanics. Instead, it offers an ontological positioning that reintroduces the question of ground. Quantum is approached neither as a discrete object nor as a purely mathematical formalism, but as the joint mode of operation of energy, nature, and consciousness. Within this framework, consciousness is not treated as an external causal agent acting upon physical systems, but as an immanent, organizing, and meaning-generating aspect of energetic continuity. Differentiation is thus located not in nature itself, but at the level of meaning. Observation and measurement are reinterpreted accordingly, not as mechanisms of physical collapse, but as processes through which ontological distinctions become articulated. By reframing quantum as a ground rather than a thing, this study aims to clarify persistent conceptual tensions—such as the observer problem and the status of measurement—without invoking speculative physics or metaphysical dualism. The paper presents not a solution, but a repositioning: an invitation to reconsider the ontological assumptions that guide contemporary readings of quantum mechanics.
Abstract: The quantum measurement problem has been the deepest conceptual difficulty since the birth of quantum mechanics. Standard quantum mechanics accepts wavefunction collapse as an independent postulate but never provides a physical explanation. The decoherence approach attributes collapse to the interaction between the system and its environment, but faces two fundamental limitations: the “infinite regress” problem and the “insufficiency of decoherence” problem. Within the framework of the Self-Construction Theory (SCT), this paper provides a complete resolution of the measurement problem. The core thesis is that quantum measurement is not a fundamental process independent of the laws of physical evolution, but rather a local manifestation of constructive renormalization—the scale evolution of the spacetime complex field K from microscopic degrees of freedom to macroscopic effective descriptions. The origins of wavefunction collapse, decoherence, and the Born rule receive a unified first‑principles interpretation in this framework. SCT’s spontaneous decoherence mechanism is the key to the resolution. Constructive renormalization inherently involves information loss—the integrated‑out microscopic degrees of freedom no longer exist in the macroscopic effective description. During a measurement, the measuring apparatus possesses a huge number (∼1023) of microscopic degrees of freedom. When the apparatus interacts with the measured system, constructive renormalization triggers information compression of these degrees of freedom—the apparatus can no longer distinguish which branch of the superposition it is in, and quantum coherence is thus spontaneously lost. No “external environment” is needed—the constructive renormalization dynamics of spacetime itself is the ultimate source of decoherence, thereby completely solving the “infinite regress” problem. Among the probability distribution given by the Born rule, the weights of non‑maximal probability branches are further suppressed by information compression under the huge number of microscopic degrees of freedom, so that macroscopic observers can perceive only a definite outcome in the effective description. The information loss caused by constructive renormalization is ontological—it does not rely on any approximation or truncation, thus fundamentally solving the “insufficiency of decoherence” problem. The Born rule—that measurement outcomes occur with probabilities given by the squared amplitudes—is directly derived from the constructive integral structure in SCT. In the constructive renormalization limit, interference terms between different configurations are naturally suppressed by off‑diagonal phase randomization, and the system automatically switches to a classical probabilistic description. In the diagonal density matrix representation, the squared amplitude is the only natural weight that is simultaneously real and non‑negative. Hence the Born rule is not an additional postulate of quantum mechanics but a necessary and unique manifestation of the relative frequencies of the constructive integral in the constructive renormalization limit. This derivation is rigorous within the mathematical framework of constructive renormalization—it does not rely on any approximations or truncations. SCT’s quantum measurement theory is deeply unified with the black hole information paradox. The “collapse” in quantum measurement and the “information loss” in black hole evaporation are different manifestations of the same core mechanism—the redistribution of information due to constructive renormalization—in two extreme physical situations. In quantum measurement, information is redistributed into the degrees of freedom of the macroscopic apparatus; in black hole evaporation, information is redistributed into the time‑point configurations on the horizon. This unification is the strongest proof of the universality of constructive renormalization as an information‑processing mechanism. Keywords: quantum measurement; spontaneous decoherence; constructive renormalization; Born rule; wavefunction collapse; information redistribution; Self-Construction Theory
On the basis that the universe is a closed quantum system with no external observers, we propose a paradigm in which the universe jumps through a series of stages. Each stage is defined by a quantum state, an information content, and rules governing temporal evolution. Only some of these rules are currently understood; we can calculate answers to quantum questions, but we do not know why those questions have been asked in the first place. In this paradigm, time is synonymous with the quantum process of information extraction, rather than a label associated with a temporal dimension. We discuss the implications for cosmology.
The measurement problem in contemporary physics presents an acute structural challenge to probability conservation during continuous-variable phase transitions. Traditional frameworks treat the wave function as an abstract probability distribution prone to discontinuous collapse upon external observation. This paper resolves the paradox by introducing Wardality, a scale-invariant geometric mechanism that ensures the global conservation of total probability amplitudes across continuous spacetime volumes, as fully described in Refined Spacetime Theory (RST). Rather than evaluating the vacuum as a passive background, this framework establishes that spatial configurations actively participate in wave propagation via the Temporal Wave Configuration Vector. By treating the measurement apparatus and the intervening vacuum substrate as a unified volumetric network, this model provides a self-contained, deterministic explanation for retrocausal anomalies. This framework is validated against the established boundaries of John Wheeler’s delayed-choice and quantum eraser experiments, eliminating non-local "action-at-a-distance" interpretations in favour of local, continuous coordinate realignment. Wardality is presented here as a self-contained, narrowly-scoped proposal; its claims stand or fall on the mathematics and predictions given here, independent of the wider schema.
Quantum mechanics has been remarkably successful in predicting experimental outcomes, yet foundational questions—such as the nature of wave function collapse and the mechanism of quantum entanglement—remain unresolved. Standard interpretations invoke observer-dependence, intrinsic randomness, or non-local interactions, leading to conceptual difficulties. This work proposes a unifying explanation based on a universal balance-based system framework. Within this approach, quantum systems are treated as interconnected, defect-free systems whose behavior emerges through feedback mechanisms. Wave function collapse corresponds to the enforcement of systemic balance under new constraints, while entanglement arises from globally enforced balance across spatially separated nodes. This framework preserves empirical predictions of quantum mechanics, is consistent with relativistic causality, and provides a coherent conceptual foundation that links microscopic quantum phenomena to universal system dynamics.