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Empirical Validation of the Analytical Method of Quantum Probability Calculation via Contemporary Cosmological Data

Viktoras Rimsha, Laimontas Rimsha

Published May 19, 2026• 0 citations
Publisher

Abstract

This paper demonstrates that the five major crises of contemporary cosmology—inflation, baryon asymmetry, dark matter, dark energy, and singularities—are not isolated material paradoxes, but rather consequences of a single methodological error. Current cosmological models blindly apply the standard Born rule in extreme states, assuming a neutral environmental context without active interference, which contradicts the deep foundational logic of quantum mechanics. We show that the analytical probability method previously developed by the authors—wherein the whole (the context) is primary in relation to individual alternatives—perfectly resolves these phenomena [1]. Most importantly, we argue that existing astrophysical observational data should be treated not as anomalies, but as direct empirical validation of the analytical method and its structural proportionality coefficient in reality, made visible by the unique, non-destructive nature of cosmic observation which preserves the integrity of the global contextual superposition.

DOI
10.5281/zenodo.20285023

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The mainstream system of physics today is shackled by three major theoretical frameworks that fundamentally deviate from research rooted in matter and objective reality. All three are constructed based on abstract assumptions that contradict intuitive material motion and formal logic. First, the geometric metaphysical system derived from General Relativity, including spacetime curvature, Einstein’s field equations, extra dimensions, gravitational waves, black hole singularities, the Big Bang, dark matter, dark energy, spacetime distortion, wormholes and other related flawed propositions. This framework arbitrarily reinterprets gravitational effects of celestial bodies as unobservable geometric deformations of spacetime, and fabricates the concept of "gravitational waves" claimed to propagate at the speed of light. Quantitative calculations targeting the 1.3-billion-light-year black hole merger event prove that the field equations artificially set a mere 5% mass loss ratio. The calculated amplitude of gravitational fluctuations is tens of thousands of times larger than values derived from Newtonian mechanics consistent with real material transformation rules. This parameter is only a fitting tool to match detected signals, contradicting the objective law that all solid matter converts into photon plasma and gravitational force vanishes completely after celestial mergers. When calculations from the field equations conflict with galactic observational data, scholars invent unobservable hypothetical concepts such as dark matter, dark energy and extra dimensions to patch theoretical gaps, deliberately ignoring empirically verifiable physical mechanisms including interstellar plasma refraction and instantaneous action-at-a-distance gravitational force between celestial bodies. Second, the probabilistic idealistic interpretation of quantum mechanics, covering quantum superposition, Schrödinger’s cat, wave function collapse, observer effect, probability clouds, Heisenberg uncertainty principle, and subjectively biased explanations of quantum entanglement. This system breaks the law of contradiction in formal logic by asserting that objects can simultaneously hold mutually exclusive states, and arbitrarily proposes wave-particle duality to misclassify photons as entities possessing both wave and particle properties. Researchers deliberately avoid measuring fundamental parameters of photons such as vibration amplitude, vibration angle and vibration frequency. Intuitive experimental contrasts show interference and diffraction fringes only emerge when single/double slits are present, yet existing experimental equipment is fully capable of clarifying interactive mechanisms between photons and slit walls. Relevant foundational measurements have long been neglected. Third, the standard model’s artificially fitted spectrum of confined hypothetical particles, including quarks, gluons, the Higgs boson, neutrinos, virtual photons, quark-gluon plasma, etc. Heavy-ion collision experiments conducted at laboratories such as CERN can generate extreme temperatures of 2 trillion to 4 trillion degrees Celsius. Under such conditions, all solid particles fully dissociate into pure gamma photon clusters. However, to preserve the integrity of the standard model, scholars falsely claim stable quarks and gluons persist at ultrahigh temperatures, naming dense photon fireballs "quark-gluon plasma". They also introduce undetectable virtual photons to explain bidirectional conversion between photons and solid particles, fabricating imaginary intermediaries to obscure the straightforward objective law of energy-matter transformation, entirely abandoning the scientific spirit of pursuing objective truth. This paper clearly states its core stand: photons are pure energy particles with no inherent wave characteristics. The so-called "gravitational waves" defined by General Relativity do not exist objectively. The oscillating signals captured by detectors merely reflect variations in gravitational magnitude caused by relative motion of celestial bodies, rather than ripples propagating through spacetime. Gravitational force never travels in wave form. These three theoretical frameworks are tightly intertwined, forming a self-enclosed paradigm culture that prioritizes defending existing theories over exploring objective reality. They consume massive scientific research resources and continuously hinder humanity’s ability to interpret the fundamental laws of the universe through observable, logically consistent realistic concepts (the essence of photons, plasma refraction, instantaneous action-at-a-distance forces). This paper comprehensively lists all concepts inconsistent with empirical science, analyzes their flaws in logic, computation and experimental observation, and advocates reconstructing a unified physical framework grounded in observable material motion.

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According to the theory of cosmic inflation, the large scale structures observed in our Universe (galaxies, clusters of galaxies, Cosmic Background Microwave—CMB—anisotropy…) are of quantum mechanical origin. They are nothing but vacuum fluctuations, stretched to cosmological scales by the cosmic expansion and amplified by gravitational instability. At the end of inflation, these perturbations are placed in a two-mode squeezed state with the strongest squeezing ever produced in Nature (much larger than anything that can be made in the laboratory on Earth). This article studies whether astrophysical observations could unambiguously reveal this quantum origin by borrowing ideas from quantum information theory. It is argued that some of the tools needed to carry out this task have been discussed long ago by J. Bell in a, so far, largely unrecognized contribution. A detailled study of his paper and of the criticisms that have been put forward against his work is presented. Although J. Bell could not have realized it when he wrote his letter since the quantum state of cosmological perturbations was not yet fully characterized at that time, it is also shown that Cosmology and cosmic inflation represent the most interesting frameworks to apply the concepts he investigated. This confirms that cosmic inflation is not only a successful paradigm to understand the early Universe. It is also the only situation in Physics where one crucially needs General Relativity and Quantum Mechanics to derive the predictions of a theory and, where, at the same time, we have high-accuracy data to test these predictions, making inflation a playground of utmost importance to discuss foundational issues in Quantum Mechanics.

arXiv:1904.00083•Universe•Apr 15, 2019•40 citations
This paper demonstrates that the five major crises of contemporary cosmology—inflation, baryon asymmetry, dark matter, dark energy, and singularities—are not isolated material paradoxes, but rather consequences of a single methodological error. Current cosmological models blindly apply the standard Born rule in extreme states, assuming a neutral environmental context without active interference, which contradicts the deep foundational logic of quantum mechanics. We show that the analytical probability method previously developed by the authors—wherein the whole (the context) is primary in relation to individual alternatives—perfectly resolves these phenomena [1]. Most importantly, we argue that existing astrophysical observational data should be treated not as anomalies, but as direct empirical validation of the analytical method and its structural proportionality coefficient in reality, made visible by the unique, non-destructive nature of cosmic observation which preserves the integrity of the global contextual superposition.
In our previous works [1], it was demonstrated that quantum probability calculus requires an analytic approach where the whole (the totality of alternatives) is primary, while the probabilities of individual alternatives are derived quantities. In this paper, we take an essential methodological step forward by clarifying and updating the very concept of an alternative. We argue that within the analytic framework, alternatives cannot be treated as isolated, atomized elements, as is done in the synthetic Kolmogorovian model. Instead, they function as elements of a mathematical equivalence class and never lose their global contextual feature. This refinement allows us to reconcile the local realization of historical events with the global preservation of quantum interference. Consequently, this opening offers a completely new perspective for quantum cosmology without relying on the hypothesis of an external observer.
Born’s probabilistic interpretation of quantum mechanics is commonly assumed to rely on classical probability theory in the sense of Kolmogorov. In this paper we argue that this assumption is methodologically unjustified. We show that quantum probabilities naturally arise from an analytic method fundamentally different from the synthetic approach underlying classical probability theory. In the analytic framework, the whole (the totality of alternatives) is primary, while probabilities of individual alternatives are derived quantities. Interference appears at the level of the realization probability of the whole, whereas conditional probabilities of alternatives remain additive within a given context. We demonstrate that many well-known quantum paradoxes originate from the inappropriate application of synthetic probabilistic reasoning. The proposed formulation is consistent with the Born rule, its extensions developed in our earlier works, and with Birkhoff–von Neumann quantum logic. Classical probability theory appears only as a degenerate formal limit and is not methodologically universal.
This record presents two related contributions to the ZIP framework addressing structural limits in fundamental physics. The primary paper, Structural Limits of Outcome Selection, examines a known residual problem in decoherence-based quantum measurement accounts: the physical selection of a single, definite outcome. While decoherence explains the suppression of interference through environmental entanglement, it does not on its own determine why one outcome is realized rather than merely isolated. This work introduces the ZIP perspective as a minimal, entropic complement to decoherence, preserving standard quantum dynamics while identifying irreversible stabilization as the mechanism governing outcome selection. The paper outlines how differences in entropic robustness can give rise to statistical outcome weights consistent with the Born rule and proposes minimal empirical conditions under which the ZIP interpretation could be distinguished. The companion contribution, Structural Limits in Friedmann Cosmology, applies the ZIP framework to classical cosmological dynamics. It shows that within the standard Friedmann equations, there exists structural degeneracy between additional matter–energy components and large-scale informational coherence effects. A defined ZIP-limit marks the regime beyond which observational data cannot uniquely discriminate between substance-based and structure-based interpretations of cosmic expansion. Together, these papers illustrate how the ZIP approach clarifies interpretative boundaries in quantum and cosmological contexts without modifying underlying dynamical formalisms. This work is part of the ZIP (Zonal Informational Physics) framework, which studies structural constraints on physical descriptions rather than proposing new dynamical entities.
The mainstream system of physics today is shackled by three major theoretical frameworks that fundamentally deviate from research rooted in matter and objective reality. All three are constructed based on abstract assumptions that contradict intuitive material motion and formal logic. First, the geometric metaphysical system derived from General Relativity, including spacetime curvature, Einstein’s field equations, extra dimensions, gravitational waves, black hole singularities, the Big Bang, dark matter, dark energy, spacetime distortion, wormholes and other related flawed propositions. This framework arbitrarily reinterprets gravitational effects of celestial bodies as unobservable geometric deformations of spacetime, and fabricates the concept of "gravitational waves" claimed to propagate at the speed of light. Quantitative calculations targeting the 1.3-billion-light-year black hole merger event prove that the field equations artificially set a mere 5% mass loss ratio. The calculated amplitude of gravitational fluctuations is tens of thousands of times larger than values derived from Newtonian mechanics consistent with real material transformation rules. This parameter is only a fitting tool to match detected signals, contradicting the objective law that all solid matter converts into photon plasma and gravitational force vanishes completely after celestial mergers. When calculations from the field equations conflict with galactic observational data, scholars invent unobservable hypothetical concepts such as dark matter, dark energy and extra dimensions to patch theoretical gaps, deliberately ignoring empirically verifiable physical mechanisms including interstellar plasma refraction and instantaneous action-at-a-distance gravitational force between celestial bodies. Second, the probabilistic idealistic interpretation of quantum mechanics, covering quantum superposition, Schrödinger’s cat, wave function collapse, observer effect, probability clouds, Heisenberg uncertainty principle, and subjectively biased explanations of quantum entanglement. This system breaks the law of contradiction in formal logic by asserting that objects can simultaneously hold mutually exclusive states, and arbitrarily proposes wave-particle duality to misclassify photons as entities possessing both wave and particle properties. Researchers deliberately avoid measuring fundamental parameters of photons such as vibration amplitude, vibration angle and vibration frequency. Intuitive experimental contrasts show interference and diffraction fringes only emerge when single/double slits are present, yet existing experimental equipment is fully capable of clarifying interactive mechanisms between photons and slit walls. Relevant foundational measurements have long been neglected. Third, the standard model’s artificially fitted spectrum of confined hypothetical particles, including quarks, gluons, the Higgs boson, neutrinos, virtual photons, quark-gluon plasma, etc. Heavy-ion collision experiments conducted at laboratories such as CERN can generate extreme temperatures of 2 trillion to 4 trillion degrees Celsius. Under such conditions, all solid particles fully dissociate into pure gamma photon clusters. However, to preserve the integrity of the standard model, scholars falsely claim stable quarks and gluons persist at ultrahigh temperatures, naming dense photon fireballs "quark-gluon plasma". They also introduce undetectable virtual photons to explain bidirectional conversion between photons and solid particles, fabricating imaginary intermediaries to obscure the straightforward objective law of energy-matter transformation, entirely abandoning the scientific spirit of pursuing objective truth. This paper clearly states its core stand: photons are pure energy particles with no inherent wave characteristics. The so-called "gravitational waves" defined by General Relativity do not exist objectively. The oscillating signals captured by detectors merely reflect variations in gravitational magnitude caused by relative motion of celestial bodies, rather than ripples propagating through spacetime. Gravitational force never travels in wave form. These three theoretical frameworks are tightly intertwined, forming a self-enclosed paradigm culture that prioritizes defending existing theories over exploring objective reality. They consume massive scientific research resources and continuously hinder humanity’s ability to interpret the fundamental laws of the universe through observable, logically consistent realistic concepts (the essence of photons, plasma refraction, instantaneous action-at-a-distance forces). This paper comprehensively lists all concepts inconsistent with empirical science, analyzes their flaws in logic, computation and experimental observation, and advocates reconstructing a unified physical framework grounded in observable material motion.
This paper advances the Unified Quantum Mechanics (UQM) framework by elevating the empirical stability of matter to the status of a cosmological first principle. While previous work established the operator formalism, this work posits that the foundational conflicts of 20th-century physics—Real vs. Complex, Deterministic vs. Probabilistic, and Continuous vs. Discrete—are resolved specifically by this stability axiom. The central innovation is the advancement of the Analyticity Mandate, which constrains all physical wavefunctions to be causal, positive-energy analytic signals (E>0E>0E>0). This mandate is mathematically implemented by identifying the imaginary unit iii with the physical, non-local temporal Hilbert transform operator (i≡Hti \equiv \mathcal{H}_ti≡Ht​), transforming the Schrödinger and Dirac equations into deterministic, real-valued field equations—the Unified Real Wave Equation. We uncover a fundamental symmetry at the heart of unification: the analytic signal constraint required to ontologically complete quantum theory simultaneously derives the geometric structure of General Relativity, demonstrating that both paradigms originate from the single axiom of matter stability. We establish that this analytic complexification constitutes a mathematically rigorous and physically necessary procedure, transforming the underlying real spacetime-energy field into a unified dynamical framework that naturally subsumes both quantum phenomena and gravitational evolution. This framework culminates in a unified Theory of Everything described by the fundamental action: SUQM=∫d4x−g(c416πG(R−2Λ)+LSM)S_{\text{UQM}} = \int d^4x \sqrt{-g} \left(\frac{c^4}{16\pi G} (R - 2\Lambda) + \mathcal{L}_{\text{SM}}\right)SUQM​=∫d4x−g​(16πGc4​(R−2Λ)+LSM​), where the Lagrangian density describes both geometry and matter as manifestations of a single real field ψR\psi_RψR​ under the Analyticity Mandate. The complete theory is expressed through the coupled system: Gμν=κTμν[ψR]andψ=ψR−iHt[ψR]withE>0.G_{\mu\nu} = \kappa T_{\mu\nu}[\psi_R] \quad \text{and} \quad \psi = \psi_R - i\mathcal{H}_t[\psi_R] \quad \text{with} \quad E > 0.Gμν​=κTμν​[ψR​]andψ=ψR​−iHt​[ψR​]withE>0. We present the following quantitative results and mechanisms: (1) We derive the Cosmic Cycle Period Tcycle≈7.14×1011T_{cycle} \approx 7.14 \times 10^{11}Tcycle​≈7.14×1011 years for the cubic model (Spherical model: ≈7.00×1011\approx 7.00 \times 10^{11}≈7.00×1011 years) and the maximum expansion factor Zmax≈2.20×1010Z_{max} \approx 2.20 \times 10^{10}Zmax​≈2.20×1010 (Spherical: ≈1.36×1010\approx 1.36 \times 10^{10}≈1.36×1010), by solving the cosmic equation of state governed by the electron's vacuum stability horizon lcrit≈5.35l_{crit} \approx 5.35lcrit​≈5.35 cm (Spherical diameter: Dcrit≈6.64D_{crit} \approx 6.64Dcrit​≈6.64 cm). (2) We identify the Fermionic Rigidity mandated by the Pauli Exclusion Principle as the specific geometrodynamic trigger for the non-singular Big Bounce, avoiding the entropy paradoxes of Conformal Cyclic Cosmology. (3) We restore Global Noether Conservation by reinterpreting cosmological redshift as mechanical work performed against the elastic tension of the vacuum plenum (ρΛ\rho_{\Lambda}ρΛ​). (4) We formalize the \emph{Singh Stability Conjecture}, proposing a hierarchy of verification protocols including a Rapid-Dispersion interferometric experiment designed to test the specific cosmological parameter limits of the vacuum. The resulting ontology is a monistic Spacetime-Energy substance, where the Einstein Field Equation Gμν=κTμνG_{\mu\nu} = \kappa T_{\mu\nu}Gμν​=κTμν​ represents the phase equilibrium between the geometry of the vacuum and the density of matter. UQM thus completes Einstein's unification program by providing a deterministic, realist, and geometrically coherent foundation for all physical phenomena. We formally propose a community-wide verification program, defining definitive falsification tests through laboratory experiments, cosmological observations, and Gedankenexperiments. Within this program, we distinguish between parametric constraints and ontological validity, asserting that the ultimate falsification of the framework requires the empirical demonstration of stable negative-energy states.
According to the theory of cosmic inflation, the large scale structures observed in our Universe (galaxies, clusters of galaxies, Cosmic Background Microwave—CMB—anisotropy…) are of quantum mechanical origin. They are nothing but vacuum fluctuations, stretched to cosmological scales by the cosmic expansion and amplified by gravitational instability. At the end of inflation, these perturbations are placed in a two-mode squeezed state with the strongest squeezing ever produced in Nature (much larger than anything that can be made in the laboratory on Earth). This article studies whether astrophysical observations could unambiguously reveal this quantum origin by borrowing ideas from quantum information theory. It is argued that some of the tools needed to carry out this task have been discussed long ago by J. Bell in a, so far, largely unrecognized contribution. A detailled study of his paper and of the criticisms that have been put forward against his work is presented. Although J. Bell could not have realized it when he wrote his letter since the quantum state of cosmological perturbations was not yet fully characterized at that time, it is also shown that Cosmology and cosmic inflation represent the most interesting frameworks to apply the concepts he investigated. This confirms that cosmic inflation is not only a successful paradigm to understand the early Universe. It is also the only situation in Physics where one crucially needs General Relativity and Quantum Mechanics to derive the predictions of a theory and, where, at the same time, we have high-accuracy data to test these predictions, making inflation a playground of utmost importance to discuss foundational issues in Quantum Mechanics.