This note reconstructs Malus’ law as the minimal optical expression of interface-mediated admission. A prepared photon polarization is treated not as a fully pre-existing physical record, but as a pre-record admissibility structure QBγ(φ). A polarizer at angle θ acts as a finite admissibility interface Iθ. The detector outcome is an irreversible binary distinction IBD, recovered as a physical detector record PD. The standard projection calculation is retained: a prepared linear polarization is represented by u(φ) = (cos φ, sin φ), the polarizer admits the component along e(θ) = (cos θ, sin θ), and the admitted amplitude is a(φ,θ) = e(θ) · u(φ) = cos(φ − θ). Squaring the admitted amplitude gives Malus’ law: P(D = 1 | φ, θ) = cos²(φ − θ). The note then treats the three-polarizer experiment as a direct consequence: while direct 0° → 90° transmission is zero in the ideal case, insertion of an intermediate 45° interface gives total transmission 1/4 relative to light already prepared at 0°. The intermediate polarizer is therefore interpreted as establishing a new admissible polarization condition rather than merely acting as a passive obstruction. The result is not presented as a new optical law. It is a primitive reconstruction of a known law: Malus’ law appears as the simplest quantitative signature of finite interface-mediated admission, linking the foundational chain τ0 → QB → IB to a laboratory optical law.
This note reconstructs Malus’ law as the minimal optical expression of interface-mediated admission. A prepared photon polarization is treated not as a fully pre-existing physical record, but as a pre-record admissibility structure QBγ(φ). A polarizer at angle θ acts as a finite admissibility interface Iθ. The detector outcome is an irreversible binary distinction IBD, recovered as a physical detector record PD. The standard projection calculation is retained: a prepared linear polarization is represented by u(φ) = (cos φ, sin φ), the polarizer admits the component along e(θ) = (cos θ, sin θ), and the admitted amplitude is a(φ,θ) = e(θ) · u(φ) = cos(φ − θ). Squaring the admitted amplitude gives Malus’ law: P(D = 1 | φ, θ) = cos²(φ − θ). The note then treats the three-polarizer experiment as a direct consequence: while direct 0° → 90° transmission is zero in the ideal case, insertion of an intermediate 45° interface gives total transmission 1/4 relative to light already prepared at 0°. The intermediate polarizer is therefore interpreted as establishing a new admissible polarization condition rather than merely acting as a passive obstruction. The result is not presented as a new optical law. It is a primitive reconstruction of a known law: Malus’ law appears as the simplest quantitative signature of finite interface-mediated admission, linking the foundational chain τ0 → QB → IB to a laboratory optical law.
Bell inequality experiments have demonstrated that quantum entanglement violates the predictions of local realism. However, all Bell experiments are based on joint measurements of two photons, and their analysis implicitly assumes that "the polarization state of a single photon is ideally linear." This paper proposes an experimental scheme to directly test this assumption: using type-II spontaneous parametric down-conversion (SPDC) to generate polarization-entangled photon pairs, employing fixed-angle measurement of the e-light channel as a coincidence gate to filter entangled photons in the o-light channel, then scanning the o-light analyzer angle with high precision to measure the coincidence count rate as a function of the analyzer angle, testing whether it strictly follows Malus' law I(\theta)=I_0\cos^2(\theta-\theta_0). If systematic deviation is observed in the curve, it would indicate the existence of asymmetric secondary polarization structures in the polarization state of entangled photons, providing an alternative explanatory pathway for Bell inequality violation distinct from nonlocality. This experiment employs a high-precision coincidence measurement scheme to ensure statistical significance and designs multiple control experiments to eliminate systematic errors. The experiment can be implemented in laboratories equipped with standard quantum optics equipment.
We demonstrate that the Universal Dark Medium (UDM), originally derived as a gravitational theory from the action S = ∫d⁴x√(-g)[-(ρ₀c²/2)g^{μν}∂_μφ∂_νφ - ρ₀c²V(φ)], simultaneously provides a physically explicit substrate for quantum optical interference. A photon is modelled as a localized disturbance Φ(r,t) = δφ of the UDM field, propagating at c_m = c (required by the UDM k-essence structure). Polarization is the directional imprint e(θ) = (cosθ, sinθ) on the medium. We derive analytically: (i) the complete double-slit intensity law I = |A₁|²+|A₂|²+2Re(A₁*A₂)cos(θ₁-θ₂); (ii) the polarizer projection formula; (iii) the quantum eraser as a medium-state basis change. The Wheeler delayed-choice experiment (1978) is shown to be naturally explained by the UDM: the photon is a distributed wave before detection and localises only upon irreversible energy transfer to a detector atom. Central to this paper is a complete derivation from the UDM action of the medium coherence degradation parameter η = exp(-βP²) with β = Lc²/(T_{pert}μ²). Standard quantum mechanics predicts R_V = 1 under path-symmetric perturbation; UDM predicts R_V = exp(-βP²) < 1. The proposed Mach-Zehnder experiment constitutes a direct, binary, laboratory-scale test for the physical existence of the UDM medium at a cost accessible to any advanced optics laboratory. Keywords: quantum interference · double-slit · polarization · quantum eraser · Wheeler delayed choice · Universal Dark Medium · medium coherence · falsifiable prediction
This paper examines a local deterministic model of an experiment involving correlated photons. The experimental setup involves a source that emits two linearly polarized photons in each act, two two-channel analyzers, and detectors included in the coincidence scheme. The orientation angle of the photon polarization plane is a random variable with a uniform distribution, and it is the same for simultaneously emitted photons. The model presented here is a generalization of the “naive example of hidden variable theory” described in A. Aspect's article ‘Bell's Theorem: The Naive View of an Experimentalist. In our model, the outcome of the photon interaction with the analyzer (hit in one of the two channels) is uniquely determined by the angle between the photon polarization plane and the analyzer axis and is described by a step function. The difference in our model is that the step function contains a large number of segments of different lengths. The location and lengths of the segments are set so that the probability of a photon hitting a specific channel of an ideal analyzer, determined by averaging the outcomes over small neighborhoods of angles, approaches the Malus law when the maximum length of a segment decreases. This ensures that the classical model is self-consistent. When ideal analyzers are used, the absolute value of the correlation coefficient of detector readings mainly does not exceed the values from Aspect's ‘naive example’. However, when analyzers with absorption are used, the calculated correlations for some orientations of the analyzers exceed the quantum mechanical values. Key words: linear polarization of photons, Malus law, entangled photons, correlations, hidden parameters.
We develop a unified geometric representation of spin-½ Stern–Gerlach measurement and linear photon polarization using nonnegative distributions of individual directional amplitudes with deterministic binary responses. For spin-½, hemispherical classification of individual orientations reproduces the complete rotational transition law, P₊(α) = cos²(α/2). For linear photon polarization, an unoriented transverse axis and deterministic ±45° acceptance sectors reproduce Malus' law, P(β) = cos²β, through an exact angular overlap integral. The principal mathematical results are two support-constrained uniqueness theorems. In both geometries, requiring a normalized nonnegative distribution confined to the preparation acceptance region, together with agreement with the complete family of rotational transition probabilities, uniquely determines the corresponding cosine-weighted prepared-state density. The spherical and planar proofs establish how geometric support conditions eliminate ambiguities otherwise left unresolved by binary filtering. A systematic consistency analysis examines pristine populations, complete transition matrices, analyzer reversal, rotational covariance, immediate repeatability, operational isotropy of equal mixtures, and sequential re-preparation. The constructions reproduce the standard ideal measurement statistics while distinguishing definite individual directional amplitudes from their statistical distributions across prepared ensembles. Together, these results establish a common mathematical framework for two physically different binary measurement geometries, identifying the positive directional distributions compatible with their complete quantum transition statistics and providing a basis for investigating higher-spin measurement structures.
Record-Conditioned Reduction and the Decoherence Cliff This paper proposes a falsifiable reconstruction-based account of quantum measurement. Its central claim is that the loss of interference is not merely a smooth Markovian decay, but a first-passage phenomenon: coherence persists until a reconstructive admissibility threshold is crossed. Purpose Building on the causal-segment structure of Article 19, the paper interprets measurement as the moment when a coherent reconstruction can no longer remain admissible because the record has accumulated enough information to distinguish the branches. Main Idea A superposition remains reconstructively admissible while the branch information is below a threshold. Once the accumulated record crosses that boundary, the coherent segment closes and the system undergoes record-conditioned reduction. The Decoherence Cliff The visibility of interference is identified with the survival probability of a first-passage process. This predicts a characteristic “cliff”: a sharp loss of visibility around a critical number of elementary causal steps. The cliff location is governed by: Nc = Iadm / Îmut where Îmut is the per-step mutual Fisher information and Iadm is the total admissibility threshold. Empirical Content The model predicts a threshold law rather than a simple exponential decay. Its distinctive signature is a sharp transition whose location scales with the coherence window, together with a Fano-factor structure different from ordinary Markovian decoherence. Relation to Decision Theory The admissibility threshold is later identified with the branch entropy H(p), giving Iadm = ln 2 for a balanced superposition. This turns the cliff location into a parameter-free prediction in the ideal pure-branch case. Status The paper is a preprint-level proposal in the foundations of quantum mechanics. Its strongest content is the falsifiable replacement of smooth decoherence by a first-passage admissibility threshold. Its remaining burden is to establish the strong impossibility result against signed-increment or hidden Markovian reformulations. Conclusion This paper reframes measurement as the crossing of a reconstructive admissibility boundary. If correct, reduction is not an added postulate but the observable cliff produced when a coherent causal segment ceases to be globally admissible.
From a finite source budget to light propagation, clock slowing and optical probabilities c=tAℓA,v2+cW2=c2,B∗=2Z+X,tanβ∗=2−1,β∗=8π,Iclk=cosβ∗. A measured optical law does not by itself determine which physical objects are fundamental. This paper begins with Quantum Traction Theory's completed events, finite source capacity, ordered clock and real phase structure. It then reconstructs light propagation, the kinematic clock rate, polarization probabilities and the neutral pair's angular record law within explicit source and readout classes. The angle is calculated before the detector counts: physical exchange symmetry fixes the balanced response, whose positive eigenprofile has component ratio 2−1. Thus β∗=π/8, the retained amplitude is cos(π/8), and its capacity fraction is (2+2)/4. The source rotor, the symmetric correlation analyzer and a diagonal phase operation are connected by exact operator identities. The paper takes QTT as its physical starting account. It imports no textbook physical postulate as a constructor, while keeping QTT's own axioms, selected sectors, sampling and null-preserving observer conditions explicit. Its claim is a reconstruction from stated source premises, not a theory without assumptions. The opening argument is followed by complete proofs, a source and input ledger, angle and amplitude conventions, sensitivity formulas, premise-removal witnesses and a four-history clock-transfer theorem. Known photon observations provide the experimental phenomena being reconstructed. No new optical dataset is fitted, and no new A1 clock result or observational significance is asserted. The first file is the paper PDF. The reconstruction ZIP contains the self-contained LaTeX source, executable exact and numerical checks, claim ledger and checksums. The stated source construction can be checked independently; its physical terminal selection is addressed by the linked clock programme. Source dependencies and companion tests: Main Book; A1–CHSH character; finite real source histories; completed-event Bell construction; clock-reference tests.