Teruhito Kojima

This paper redefines time not as a primitive background quantity in physical theory, but as a quantity constructed under metrological conditions. In standard theoretical descriptions, time is often introduced as a continuous independent variable. Yet every measurement of time depends on some physical reference process. Concealing this dependence at the starting point of theory obscures the foundation of the concept of time. The paper first formulates a metrological principle prior to the construction of time. It then defines a clock as a physical system that provides a comparable reference process and whose change can be unitized and calibrated. Proper time is constructed from the sequential count of that reference process. On this basis, state description, rates of change, kinematics, and dynamics are reformulated. Within this framework, Newtonian mechanics, analytical mechanics, electromagnetism, relativity, and quantum mechanics are reread not as theories that presuppose a primitive time variable, but as theories that rely on a time parameter constructed through clocks, unitization, calibration, and sequential ordering. The claim of this paper is not that time does not exist. The more limited claim is that time is not self-evidently given at the beginning of a theory, but should be treated as a quantity constructed through physical clocks and calibration relations. From this standpoint, part of what has traditionally been discussed under the headings of the flow of time, the block universe, and the problem of time in quantum gravity can be relocated from metaphysical claims to questions about the constitutive conditions internal to physical theory.

Bell-type experiments confront us with a threefold demand: any satisfactory account must preserve Bell-inequality violation, operational no-signalling, and consistency with relativistic causal structure. Standard discussions often treat this situation as if it required a physically meaningful transit time for a collapse-like influence between spacelike separated measurement events. In this paper, I argue that this presupposition is false. Working within Sequential Time Theory (STT), I formulate admissibility conditions for temporal variables in Bell configurations and prove that no state-independent and foliation-independent calibration map exists that could define a physical collapse-transit time between spacelike separated local record-completion events. The quantity required to define a collapse speed is therefore not extremely small; it is non-constructible. To establish this result, I reconstruct a Bell experiment as a partially ordered record structure consisting of source events, local record events at each wing, and later comparison events. Local measurements are represented by compatible instruments on admissible hypersurface descriptions. I then show that Bell-inequality violation and operational no-signalling remain fully intact without any admissible collapse-transit variable. What is eliminated is not the empirical Bell phenomenon, but only the pseudo-variable that would redescribe a correlation structure as though it were a directed transport process between the two wings. The resulting claim is narrower than a complete relativistic theory of quantum measurement, but stronger than a merely interpretive remark. The paper yields a theorem-level boundary condition on future measurement theory: any successful extension may model local detector dynamics, irreversible amplification, delayed recording, or moving-frame configurations, but it must not reintroduce a state-independent and foliation-independent collapse-transit time between spacelike separated local record-completion events. In STT terms, Bell nonlocality does not force superluminal propagation; it forces the abandonment of an inadmissible temporal variable.

This note clarifies the structure of the Sequential Time Theory (STT) program and its relation to Sequential Time Theory–Critical Review (STT-CR). Because the published work now extends across physics, methodology, and cross-domain discourse analysis, new readers may misidentify the program as either a single all-purpose doctrine or a loose collection of unrelated essays. Neither description is accurate. The central claim of this guide is that the corpus has a definite internal order. First, STT is a physics program concerned with the reconstruction of time and with the admissibility conditions of temporal concepts in physical theory. Second, STT-CR is an audit framework that clarifies conditions of construction, measurement, calibration, defect localization, and metaphysical surplus. Third, the analyses of religion and psychology are not presented as independent physical theories, but as applications of the audit framework to discourse spaces in which the conditions of admissibility themselves are at stake. This note does not advance a new theorem or a new empirical claim. Its purpose is to clarify the internal organization of the already published program, to distinguish the core physics program from its methodological layer, and to indicate how the different texts should be read in relation to one another.

Psychology occupies a unique position in the landscape of knowledge: it is simultaneously claimed as a natural science, practiced as a social science, and criticized for harboring pseudoscientific elements. This paper subjects psychology to a structural audit within the framework of Sequential Time Theory–Critical Review (STT-CR). The central finding is that psychology’s persistent boundary disputes—between schools, between science and practice, between legitimate and illegitimate claims—arise not primarily from empirical disagreements within a shared evidential field, but from a more fundamental condition: the fragmentation of L2. Unlike physics, where the operational ground (L2) is broadly shared and metaphysical surplus (L3) is the site of contestation, and unlike religion, where Over-Θ has fully appropriated L2’s constitutive authority, psychology is a discourse space in which multiple, mutually incompatible L2 structures coexist under a single disciplinary name. This paper reconstructs the major psychological schools as distinct canonical representations T := ⟨Θsys, P, C, D⟩, identifies the Over-Θ intrusion patterns specific to each, analyzes the replication crisis as a large-scale exposure of pseudo-verification, and examines the DSM as a site of managed L3 intrusion. The paper concludes that psychology is best understood not as a single science with internal disagreements, but as a discourse space exhibiting a continuous spectrum of L2 constitutive authority—from regions where observational closure is achieved to regions where Over-Θ governs the admissibility conditions of fact, evidence, and interpretation.

This paper redefines religious discourse not in terms of doctrinal content, but in terms of where constitutive authority is located within a discourse. Drawing on Sequential Time Theory–Critical Review (STT-CR), it distinguishes L2 (operational ground), L1 (theoretical description), and L3 (metaphysical superaddition), and defines religious discourse as a discourse form that grants Over-Θ constitutive authority over L1/L2. On that basis, the paper reconstructs orthodoxy and heresy as Over-Θ+ / Over-Θ−, explains the structural undecidability of religious conflict, and analyzes pseudo-verification through examples involving mercy, prayer, and healing. The central claim is that religious conflict should be read not primarily as a conflict over truth-contents, but as a conflict over constitutive authority. STT-CR does not dissolve such conflicts from outside; rather, it makes visible where Over-Θ has displaced empirical admissibility and where scientific, metaphysical, and religious discourse have been conflated.

The black hole information paradox is standardly formulated as a conflict among three premises: (P1) unitarity of quantum evolution, (P2) singularity and horizon formation in general relativity, and (P3) thermality of Hawking radiation. This paper subjects the paradox to a structural audit within the framework of Sequential Time Theory–Critical Review (STT-CR). Representing each contributing theory in the canonical form T := ⟨Θsys, P, C, D⟩, we identify the hidden structural defect: the three premises presuppose a single global time parameter t that spans the entire evaporation process, yet this parameter is metrologically non-constructible under STT premises. The event horizon marks a boundary where, for the asymptotic observational protocol under audit, the calibration map between the external observer’s clock and local event generation fails to close; the Planck regime marks the domain where the fundamental unit process ΔQunit itself becomes non-constructible. We argue that the “information loss” is not a physical defect but a protocol defect arising from the breakdown of inter-domain calibration. The paradox does not require resolution; it dissolves once the metrological conditions for stating it are made explicit. Constructive consequences include the protocol-dependence of Hawking radiation thermality and domain-restricted unitarity, and the STT completion program motivates empirically discriminable expectations concerning spectral deviations linked to finite clock resolution.

This paper re-examines dark-matter inference within the auditing framework of Sequential Time Theory-Critical Review (STT-CR) and then pushes that audit toward a physically testable low-acceleration phenomenology. Rather than treating the flat rotation curves of galaxies as immediate proof of an additional unseen ontological component, I first localize the discrepancy as a defect in the calibration structure connecting baryonic reconstruction and kinematic observation. I then introduce a dimensionless calibration factor relating the observer-reconstructed velocity to the locally operative dynamical velocity. Once the empirical radial acceleration relation (RAR) is adopted as the primary datum, the effective calibration law can be reconstructed directly, yielding the standard Newtonian limit at high acceleration, the quarter-power scaling in the deep low-acceleration regime, and the baryonic Tully-Fisher relation. To make the proposal physically viable, I further extend the model to an environment-sensitive form, kappa(g_N, g_ext), and formulate its empirical burden in terms of Solar-System consistency, wide-binary discrimination, and galaxy-scale rotation-curve fits. The claim advanced here is narrower than a full alternative cosmology. Its contribution is to show that, within STT-CR, the route from discrepancy to dark matter is not audit-neutral, and that a falsifiable calibration-law interpretation exists at least at the level of low-acceleration galactic dynamics.

This paper develops a layered framework for auditing theoretical discourse by distinguishing among L1, L2, and L3 claims. Its central thesis is that many philosophical and scientific confusions arise not from metaphysics as such, but from unmanaged metaphysical intrusion into theoretical discourse. Drawing on STT-CR, the paper argues that the value of a theory should be assessed not by how strongly it negates prior theories, but by how clearly it specifies construction conditions, domain limits, defects, minimal completions, and empirical accountability. The discussion is developed through two case studies: block universe theory and temporal experience, and determinism and free will. The paper concludes that the aim is not anti-metaphysics, but metaphysical management: keeping scientific discourse within L1/L2 as far as possible, while preventing unmarked L3 claims from functioning as if they were internal theoretical items.

The Wheeler–DeWitt (WDW) equation, ˆHΨ = 0, plays a central role in canonical quantum gravity but lacks an explicit time parameter. This feature is traditionally diagnosed as the “prob lem of time.” In this paper, developed within the Sequential Time Theory (STT) program, we argue that the absence of a time parameter is not an anomaly but an inevitable structural con sequence of time metrology. We define physical closure independently of time-theoretic concepts and show that for a physically closed universe, the global external time-derivative operator ∂t is non-constructible under STT metrological premises. The proof demonstrates that linear global evo lution requires a calibration map common across the physical state space, which a closed universe fundamentally lacks. Furthermore, we position relational time programs (e.g., Page–Wootters) and semiclassical approaches as non-competing cases; these frameworks successfully reconstruct inter nal conditional dynamics without defining a global external time. The timelessness of the WDW equation thus emerges as a structural metrological consequence of enforcing physical closure upon a state-independent calibration.

This paper does not challenge the observational fact of LIGO’s gravitational-wave detections. Instead, it examines a maximal interpretation often associated with those detections: that LIGO strongly supports the physical reality of spacetime and thereby naturally motivates a four-dimensional ontology. Using the audit vocabulary of STT-CR, the paper reformulates the LIGO case in terms of the relation among observable output OOO, measurement protocols PPP, calibration structure CCC, and theoretical variables Θsys\Theta_{\mathrm{sys}}Θsys. Within STT-CR, explanatory accountability is carried by the map (Θsys,P,C)→O(\Theta_{\mathrm{sys}},P,C)\to O(Θsys,P,C)→O, while elements that do not participate in this map are treated as OverΘ\ThetaΘ. The paper shows that both general relativity and Sequential Time Theory can, at the level of the LIGO observational core, be cast as isomorphic observation maps. On the STT side, time is defined as an accumulation of local state-transitions, allowing the interferometric phase difference to be reconstructed without assuming that a four-dimensional spacetime ontology is observationally mandatory. The conclusion is limited but precise: LIGO strongly supports the predictive core of general relativity, yet LIGO data alone do not uniquely force a block-universe interpretation.

This paper argues that predictive success alone is not a sufficient condition for the empirical accountability of a physical theory. It introduces STT-CR (Sequential Time Theory – Critical Review) as a formal framework for auditing theories in terms of theoretical variables, measurement protocols, calibration mappings, and explicitly represented defects. Within STT-CR, theories are represented canonically as ⟨Θsys, P, C, D⟩. A defect is defined not merely as a residual mismatch, but as a non-closed observational loop under explicit protocol and calibration constraints. The framework then requires minimal completion: any admissible extension must generate either measurable differential effects or falsifiable upper bounds. STT-CR thereby offers a procedural reconstruction of theory assessment at the intersection of philosophy of physics and general philosophy of science. It shifts attention from speculative extension toward structural closure, auditability, and experimentally constrained completion.

Sequential Time Theory (STT) provides a metrological foundation for physics, defining time through operational procedures rather than as a geometric coordinate. STT CR (Metrological Completion of Relativity) established a formal framework: Physics = (STT-Core -> Bridge -> L1) -> Θ_sys Physical Systems, where L1 is the formal language of dynamics, L2 (STT-Core) is the operational definition of time, and Θ_sys is the mapping rule to specific physical systems. This paper applies this framework to audit the Standard Model (Θ_SM), focusing on the Higgs mechanism. We propose that mass is not a primitive quantity but is defined through the time unit process: m = h * (c^2 * ΔQ_unit)^-1. From Bridge axiom B4 (local calibration consistency), we derive that mass must be determined by a spatially uniform Lorentz-scalar quantity. From metrological constraints on ΔQ_unit -- positivity (C1), finiteness (C2), and statistical reproducibility (C3) -- together with an explicit minimality assumption (Θ_minimal), we derive the form of the Higgs potential V(φ) = -μ^2 |φ|^2 + λ |φ|^4, where the derivation is conditional on the stated assumptions. We show that, for UV-complete fundamental descriptions, renormalizability is a metrological necessity: otherwise the operational distribution of clock-ticks becomes resolution-dependent in a way that cannot be removed by finitely many calibrations (violating C3 and B4). Effective-field descriptions can still satisfy C3 within a finite resolution window. Finally, we present a testable prediction distinguishing STT from standard quantum mechanics: intrinsic clock fluctuations scale as σ_Q ∝ m^-2, predicting the ratio σ_Q(e) : σ_Q(μ) ≈ m_μ : m_e ≈ 207 for electrons versus muons.

Sequential Time Theory (STT) defines time as a metrological quantity realized by operational procedures (record, count, resolution), distinct from the coordinate time parameter in spacetime geometry. Starting from the primitive definition Δτ(n)=n k ΔQ_unit, STT internalizes time metrology (L2) and treats spacetime geometry (L1) as a representation of protocol constraints, rendering block-universe interpretations optional rather than required for physical derivations. Physics is reframed as STT-Core + Bridge axioms + Θ_sys, where Θ_sys is an explicit, auditable bundle of system-specific auxiliary assumptions. Within this scheme, SR and GR kinematics arise as representation theorems for defect-free and defect-bearing clock networks; GR curvature is interpreted as a measurable holonomy defect density. Quantum interference is treated as U(1) phase holonomy in sequential update, and a Gaussian diffusion kernel is derived from minimal sequentiality assumptions. The framework is used to compare candidate quantum-gravity routes via Θ-auditing.

The standard cosmological model (Lambda-CDM) postulates the existence of Dark Energy to explain the accelerating expansion of the universe. While statistically robust, the model lacks a fundamental physical origin for this energy and faces the persistent "Hubble Tension." This paper applies Sequential Time Theory (STT) to cosmology, proposing a paradigm shift where the physical unit of time is not invariant but evolves due to the changing cosmic gravitational potential and quantum coherence scales. We construct a unified model integrating General Relativistic time dilation with a Quantum Damping term derived from STT Vol.2. This model was tested against the full Pantheon+ Unbinned Supernovae dataset (N=1590), utilizing the full covariance matrix including systematic errors. The results reveal that the STT model achieves a goodness-of-fit (chi-squared = 1402.71) that is statistically indistinguishable from the standard Lambda-CDM model (chi-squared = 1402.92) using SNe alone. Significantly, the derived quantum transition scale z_dec = 1.50 (+0.42 / -0.33) is consistent with the peak epoch of cosmic star formation. This suggests that "cosmic acceleration" could be reinterpreted as an illusion caused by the phase transition of time from a quantum-coherent regime to a gravity-dominated classical regime, potentially offering an alternative to the standard Dark Energy hypothesis.

This paper extends the temporal concept of Sequential Time Theory (STT) to the problem of metrology in the quantum domain. In STT, a time interval Δt is constructed by a counter n representing the number of realizations of a standard displacement ΔQ_unit, while time t serves as a coordinate label assigned to this sequence. STT explicitly posits that "time is a scaling of physical change" and that "time is constructed solely by clock phenomena subject to the same conditions within a local system." Consequently, in regimes where ΔQ is indistinguishable, time does not "cease to exist" but becomes "unconstructible (undefined)." Based on these definitions and axioms, this paper (i) organizes criteria for distinguishing between science and metaphysics, (ii) identifies conceptual confusions arising from the implicit assumption of an external classical clock in quantum theory, and (iii) proposes a relativity principle regarding differences in observation scale (e.g., macroscopic observation of microscopic systems). We demonstrate that issues such as measurement, classicality, and tunneling time can be unifiedly organized as problems of "choice of clock (ΔQ)" and "recording (event-token) protocols."

This monograph presents Sequential Time Theory (STT), an operational reconstruction of physical time based on the counting of discrete, distinguishable events. The framework resolves classical paradoxes surrounding the arrow of time, relativistic time dilation, and quantum measurement by treating time as a constructed variable rather than an ontological dimension. STT argues that irreversibility arises logically from event accumulation, that relativistic effects reflect delays in event generation, and that quantum collapse represents the registration of discrete physical changes. The theory offers a parsimonious alternative to entropy-based, cosmological, and multiverse explanations of temporal asymmetry.