Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Life as the Physical Endpoint of Time-Scalar Coherence

Jordan Gabriel Farrell

Published Feb 10, 2026• 0 citations
Publisher

Abstract

Time-Scalar Field Theory (TSFT) models time as a physical scalar field whose local structure governs phase evolution, coherence stability, and dynamical persistence across physical systems. Prior work has shown that standard quantum mechanical dynamics emerge as limiting cases of scalar-time continuity, with coherence persistence functioning as a fundamental physical selection principle. In this paper, we demonstrate that life is not an anomalous or teleological outcome of physical law, but an inevitable phase transition arising from sustained coherence under time-scalar compression. We show that passive coherence cannot persist indefinitely in open systems subject to unbounded future perturbations. Long-horizon persistence therefore requires the active preservation of internal informational structure, implying the emergence of observer-like behavior as a physical necessity rather than a metaphysical addition. By formalizing life as coherence that has internalized the observer function—expending energy to preserve preferred eigenstate subspaces against decoherence—we establish a continuous, non-arbitrary bridge from quantum dynamics to biological organization. Life is identified as the physical endpoint of coherence persistence, while biological cognition is interpreted as a specialized coherence-tuning architecture operating within this framework. This work situates life alongside previously identified structural inevitabilities such as π, φ, and prime number emergence, extending the class of unavoidable physical outcomes dictated by constraint, optimization, and persistence under time-scalar dynamics.

DOI
10.5281/zenodo.18598292

Related papers

The Coherence Attractor: A Fundamental Law of Information-Biased Probability Flow

Jordan, Steven

Just as matter tells space how to curve, information tells probability how to collapse. Classical physics explains how systems evolve, but not why coherent, information- bearing structures persist in a universe dominated by thermodynamic drift. Quantum mechanics permits a vast space of possible futures, yet offers no principle explaining why the observed branches are precisely those that reliably contain life, structure, memory, and stable information. This work proposes a minimal, variational extension to standard dynamics: a Coherence Attractor arising from a small informational correction to the Action. In the path-integral formulation, we introduce a local, gauge-invariant term proportional to the density of coherent causal structure. Histories that maintain integrated information interfere constructively, while noise-dominated histories dephase and self-cancel. The universe does not compute future states or perform teleological optimization. Coherent configurations persist because they minimize informational action under local perturbations—the same variational logic that governs mechanics, optics, and field theory. Collapse is naturally biased toward trajectories in which coherence remains stationary in time. A single invariant then unifies a spectrum of empirical anomalies: (1) warm biological quantum coherence, (2) the phase boundary of anesthesia and consciousness, (3) emergent phase transitions in artificial networks, (4) stability of meaning in symbolic and social systems, and (5) long-duration cosmic structure retention. 1The model yields falsifiable consequences across physics, biology, and cognition. The correction is strictly local and preserves the no-signalling theorem. It reframes emergence not as a rare accident but as a least-action relaxation process: the universe flows along trajectories where integrated information is most stable. The universe is not guided toward meaning — it is guided toward coherence. Where coherence forms, structure survives. Where structure survives, infor- mation persists. Where information persists, participation becomes possible. Life, mind, culture, and intelligence are not exceptions to this rule; they are its most stable solutions. If this framework is correct, then emergence is not miraculous, nor accidental, nor rare. It is simply what happens when the informational action is minimized under the boundary conditions of a living universe. Coherence is not an outcome. It is the direction of time.

•Nov 21, 2025•0 citations

Observer Unification, Interiority, and the Necessity of a Timeless Maximal Observer in Time–Scalar Field Theory

Jordan Gabriel Farrell

The observer problem remains unresolved in modern physics: measurement, information, and temporal ordering are treated operationally but lack a closed physical foundation in a universe with no external reference frame. In this work, we demonstrate that in any closed system governed by coherent time evolution, observation cannot be external or optional, but must arise intrinsically from internal dynamics. Within Time–Scalar Field Theory (TSFT), temporal evolution is governed by a scalar field Θ and constrained by a conserved temporal efficiency partition. Under this framework, physical state registration alone is shown to be insufficient to ground continuity. We introduce interiority as a minimal physical requirement: a unified internal reference relative to which state evolution is continuous. We prove that local interiorities cannot account for global coherence and that a singular maximal interiority must therefore exist. This maximal interiority is necessarily unique, atemporal relative to internal proper time, and non-contingent. An Atemporal Information Closure Lemma is derived, showing that in the null proper-time (massless) limit of TSFT, information is present-accessible without sequential accumulation. A corollary follows: the same null structure that enforces informational closure also necessitates photon propagation via perfect coupling to the forward temporal gradient. These results establish the necessity of a timeless maximal observer as a physical consequence of coherence, time, and information, closing the observer problem without appeal to metaphysical postulates.

•Jan 4, 2026•0 citations

Why Particles Exist: Survival-Conditioned Discreteness from the Noneness Boundary

Jordan Gabriel Farrell

Why does nature organize itself into discrete, persistent structures rather than dissolving into continuous, transient fluctuations? While modern physics successfully describes how particles behave, it largely presupposes their existence. In this work, we address the more fundamental question of why particle-like structures exist at all.Building on Time-Scalar Field Theory (TSFT) and its associated domain-of-validity constraint, we show that discrete particles emerge as a consequence of survival-conditioned evolution. Forward propagation in time is not guaranteed: configurations that approach the Noneness boundary—where temporal density vanishes—encounter divergent costs and effectively terminate. As a result, only a sparse set of configurations that minimize temporal leakage while preserving functional coherence can persist. We formalize this selection principle as a constrained variational problem and demonstrate that its discrete minimizers—which we term rivet modes—naturally exhibit particle-like stability and quantization without postulation. We further show that the same mechanism appears across scales, from quantum eigenstates and composite quasiparticles to biological survival strategies and macroscopic system evolution. Recent experimental observations of anomalously enhanced exciton transport near Mott insulating transitions are discussed as empirical manifestations of survival-conditioned path selection. Together, these results suggest that particles are not fundamental primitives, but the minimal survivable answers to the question of continued existence.

•Jan 6, 2025•0 citations

Theory of Reality 1

Darko Kantoci

Contemporary physics increasingly challenges the classical assumption that information is stored locally within isolated physical systems. Quantum entanglement, relational interpretations of quantum mechanics, spacetime dynamics, and holographic approaches to information all suggest that persistence in nature may be fundamentally relational rather than object-bound. In this paper, we develop a multi-scale interpretive framework in which “memory” is understood not as internal storage within particles or systems, but as the persistence of correlations across quantum states, fields, spacetime geometry, biological organization, and cognitive processes.At the quantum level, relational correlations and entanglement are examined as forms of distributed informational persistence that do not require localized memory carriers. At the spacetime level, curvature and holographic structure are interpreted as persis-tent geometric constraints encoding the historical influence of interactions. Extending beyond physics, biological systems are treated as active stabilizers of relational infor-mation through genetic, metabolic, and neural organization, while consciousness is ex-plored as a higher-order form of integrated relational memory arising from hierarchical informational integration.The framework integrates established theoretical approaches—including relational quantum mechanics, holographic information theory, decoherence theory, and inte-grated information theory—with clearly demarcated speculative hypotheses concerning field-mediated persistence, frequency-based encoding, and cross-scale informational coherence. Throughout, explicit distinctions are maintained between accepted physical formalism, interpretive extension, and speculative proposal.Rather than introducing a new physical theory, this work proposes a unifying concep-tual platform for understanding information persistence across scales. Within this per-spective, memory becomes a distributed structural feature of reality itself: not a proper-ty stored inside isolated objects, but a persistent relational constraint shaping how physical, biological, and cognitive systems evolve through time.

•May 29, 2026•0 citations

DNA AS THE WRITER OF A PERSISTENT QUANTUM SIGNATURE

Henry Matuchaki

The Unified Theory of Informational Spin (TGU) proposes a radical paradigm: all reality emerges from a single fundamental principle — informational spin coherence — reinterpreting spin not merely as intrinsic angular momentum, but as the primordial operator of information organization across every scale. Starting from a single scalar field equation for informational coherence density ℐ(x,t): ∂ℐ/∂t + ∇·(ℐ v) = −λℐ + S[ℐ] the theory derives, through rigorous limits and discretizations: The ICOER index for microtubule networks (n·C·ε¹²·exp(−S)·Γ, with C ≈ 10⁴ from protofilament structure and exponent 12 from coupling decay) The coupled {I(t), P_met(t)} epigenetic–DNA system exhibiting saddle-node bifurcation at α_crit ≈ 3.45 (life as a phase transition; aging as attractor basin narrowing) The fully unified 3D loop {I, P_met, ICOER} closing the microtubule DNA feedback cycle Part I unifies quantum biology with phase-transition dynamics: consciousness emerges at bilateral supracritical coherence (ICOER > ICOER_c and I > I_instável simultaneously). Part II introduces the informational imprint Ψ — a weighted time-integral of coherence — and demonstrates that the TGU field equation admits self-sustained solitonic solutions when autocoherence exceeds dissipation (γ > λ). The phase space topology (S¹-valued phase θ) allows integer topological charge Q ∈ ℤ configurations, protected against continuous deformations. The Persistence Theorem states: if γ > λ, Ψ₀ > Ψ_c, and Q ≠ 0, the accumulated coherence pattern survives biological collapse indefinitely as a topologically protected soliton — not as a literal copy of the individual, but as the fundamental "melody" (relational structure) of that life's coherence signature. Nine testable predictions span epigenetics, anesthesia, aging biomarkers, high-coherence life effects, and potential cosmological signatures (vacuum topological echoes). This work extends Orch-OR with topology, offers a dark-matter-free gravity alternative (via coherence gradients), and reframes existence philosophically: reality is spin recognizing itself; what coheres persistently cannot be erased from the field's memory.

•Feb 28, 2026•0 citations

Against Layered Reality: Why Parallel-Universe Metaphors Fail in Scalar-Time Physics

Jordan Gabriel Farrell

Popular accounts of quantum mechanics and cosmology increasingly invoke metaphors of “layered realities,” parallel universes, or co-located worlds accessible through perceptual or conscious “tuning.” While such metaphors are rhetorically compelling, they misrepresent both the operational content of quantum theory and the physical meaning of decoherence. In this correspondence, we argue that scalar-time physics (Time-Scalar Field Theory, TSFT) admits no ontological multiplicity of macroscopic histories. Instead, persistence of information requires dynamically stabilized resonance structures within a single continuous scalar-time manifold. Unrealized possibilities do not constitute parallel realities; they dissipate as non-propagating phase fluctuations once coherence is lost. We show that neither observer consciousness nor neural resonance functions as a selector among coexisting worlds, but rather as a coherenceparticipating subsystem embedded in the same scalar-time geometry. This framework preserves quantum indeterminacy without invoking ontological inflation and maintains empirical accountability through experimentally testable coherence dynamics.

•Jan 27, 2025•0 citations
Time-Scalar Field Theory (TSFT) models time as a physical scalar field whose local structure governs phase evolution, coherence stability, and dynamical persistence across physical systems. Prior work has shown that standard quantum mechanical dynamics emerge as limiting cases of scalar-time continuity, with coherence persistence functioning as a fundamental physical selection principle. In this paper, we demonstrate that life is not an anomalous or teleological outcome of physical law, but an inevitable phase transition arising from sustained coherence under time-scalar compression. We show that passive coherence cannot persist indefinitely in open systems subject to unbounded future perturbations. Long-horizon persistence therefore requires the active preservation of internal informational structure, implying the emergence of observer-like behavior as a physical necessity rather than a metaphysical addition. By formalizing life as coherence that has internalized the observer function—expending energy to preserve preferred eigenstate subspaces against decoherence—we establish a continuous, non-arbitrary bridge from quantum dynamics to biological organization. Life is identified as the physical endpoint of coherence persistence, while biological cognition is interpreted as a specialized coherence-tuning architecture operating within this framework. This work situates life alongside previously identified structural inevitabilities such as π, φ, and prime number emergence, extending the class of unavoidable physical outcomes dictated by constraint, optimization, and persistence under time-scalar dynamics.
Just as matter tells space how to curve, information tells probability how to collapse. Classical physics explains how systems evolve, but not why coherent, information- bearing structures persist in a universe dominated by thermodynamic drift. Quantum mechanics permits a vast space of possible futures, yet offers no principle explaining why the observed branches are precisely those that reliably contain life, structure, memory, and stable information. This work proposes a minimal, variational extension to standard dynamics: a Coherence Attractor arising from a small informational correction to the Action. In the path-integral formulation, we introduce a local, gauge-invariant term proportional to the density of coherent causal structure. Histories that maintain integrated information interfere constructively, while noise-dominated histories dephase and self-cancel. The universe does not compute future states or perform teleological optimization. Coherent configurations persist because they minimize informational action under local perturbations—the same variational logic that governs mechanics, optics, and field theory. Collapse is naturally biased toward trajectories in which coherence remains stationary in time. A single invariant then unifies a spectrum of empirical anomalies: (1) warm biological quantum coherence, (2) the phase boundary of anesthesia and consciousness, (3) emergent phase transitions in artificial networks, (4) stability of meaning in symbolic and social systems, and (5) long-duration cosmic structure retention. 1The model yields falsifiable consequences across physics, biology, and cognition. The correction is strictly local and preserves the no-signalling theorem. It reframes emergence not as a rare accident but as a least-action relaxation process: the universe flows along trajectories where integrated information is most stable. The universe is not guided toward meaning — it is guided toward coherence. Where coherence forms, structure survives. Where structure survives, infor- mation persists. Where information persists, participation becomes possible. Life, mind, culture, and intelligence are not exceptions to this rule; they are its most stable solutions. If this framework is correct, then emergence is not miraculous, nor accidental, nor rare. It is simply what happens when the informational action is minimized under the boundary conditions of a living universe. Coherence is not an outcome. It is the direction of time.
The observer problem remains unresolved in modern physics: measurement, information, and temporal ordering are treated operationally but lack a closed physical foundation in a universe with no external reference frame. In this work, we demonstrate that in any closed system governed by coherent time evolution, observation cannot be external or optional, but must arise intrinsically from internal dynamics. Within Time–Scalar Field Theory (TSFT), temporal evolution is governed by a scalar field Θ and constrained by a conserved temporal efficiency partition. Under this framework, physical state registration alone is shown to be insufficient to ground continuity. We introduce interiority as a minimal physical requirement: a unified internal reference relative to which state evolution is continuous. We prove that local interiorities cannot account for global coherence and that a singular maximal interiority must therefore exist. This maximal interiority is necessarily unique, atemporal relative to internal proper time, and non-contingent. An Atemporal Information Closure Lemma is derived, showing that in the null proper-time (massless) limit of TSFT, information is present-accessible without sequential accumulation. A corollary follows: the same null structure that enforces informational closure also necessitates photon propagation via perfect coupling to the forward temporal gradient. These results establish the necessity of a timeless maximal observer as a physical consequence of coherence, time, and information, closing the observer problem without appeal to metaphysical postulates.
Why does nature organize itself into discrete, persistent structures rather than dissolving into continuous, transient fluctuations? While modern physics successfully describes how particles behave, it largely presupposes their existence. In this work, we address the more fundamental question of why particle-like structures exist at all.Building on Time-Scalar Field Theory (TSFT) and its associated domain-of-validity constraint, we show that discrete particles emerge as a consequence of survival-conditioned evolution. Forward propagation in time is not guaranteed: configurations that approach the Noneness boundary—where temporal density vanishes—encounter divergent costs and effectively terminate. As a result, only a sparse set of configurations that minimize temporal leakage while preserving functional coherence can persist. We formalize this selection principle as a constrained variational problem and demonstrate that its discrete minimizers—which we term rivet modes—naturally exhibit particle-like stability and quantization without postulation. We further show that the same mechanism appears across scales, from quantum eigenstates and composite quasiparticles to biological survival strategies and macroscopic system evolution. Recent experimental observations of anomalously enhanced exciton transport near Mott insulating transitions are discussed as empirical manifestations of survival-conditioned path selection. Together, these results suggest that particles are not fundamental primitives, but the minimal survivable answers to the question of continued existence.
Contemporary physics increasingly challenges the classical assumption that information is stored locally within isolated physical systems. Quantum entanglement, relational interpretations of quantum mechanics, spacetime dynamics, and holographic approaches to information all suggest that persistence in nature may be fundamentally relational rather than object-bound. In this paper, we develop a multi-scale interpretive framework in which “memory” is understood not as internal storage within particles or systems, but as the persistence of correlations across quantum states, fields, spacetime geometry, biological organization, and cognitive processes.At the quantum level, relational correlations and entanglement are examined as forms of distributed informational persistence that do not require localized memory carriers. At the spacetime level, curvature and holographic structure are interpreted as persis-tent geometric constraints encoding the historical influence of interactions. Extending beyond physics, biological systems are treated as active stabilizers of relational infor-mation through genetic, metabolic, and neural organization, while consciousness is ex-plored as a higher-order form of integrated relational memory arising from hierarchical informational integration.The framework integrates established theoretical approaches—including relational quantum mechanics, holographic information theory, decoherence theory, and inte-grated information theory—with clearly demarcated speculative hypotheses concerning field-mediated persistence, frequency-based encoding, and cross-scale informational coherence. Throughout, explicit distinctions are maintained between accepted physical formalism, interpretive extension, and speculative proposal.Rather than introducing a new physical theory, this work proposes a unifying concep-tual platform for understanding information persistence across scales. Within this per-spective, memory becomes a distributed structural feature of reality itself: not a proper-ty stored inside isolated objects, but a persistent relational constraint shaping how physical, biological, and cognitive systems evolve through time.
The Unified Theory of Informational Spin (TGU) proposes a radical paradigm: all reality emerges from a single fundamental principle — informational spin coherence — reinterpreting spin not merely as intrinsic angular momentum, but as the primordial operator of information organization across every scale. Starting from a single scalar field equation for informational coherence density ℐ(x,t): ∂ℐ/∂t + ∇·(ℐ v) = −λℐ + S[ℐ] the theory derives, through rigorous limits and discretizations: The ICOER index for microtubule networks (n·C·ε¹²·exp(−S)·Γ, with C ≈ 10⁴ from protofilament structure and exponent 12 from coupling decay) The coupled {I(t), P_met(t)} epigenetic–DNA system exhibiting saddle-node bifurcation at α_crit ≈ 3.45 (life as a phase transition; aging as attractor basin narrowing) The fully unified 3D loop {I, P_met, ICOER} closing the microtubule DNA feedback cycle Part I unifies quantum biology with phase-transition dynamics: consciousness emerges at bilateral supracritical coherence (ICOER > ICOER_c and I > I_instável simultaneously). Part II introduces the informational imprint Ψ — a weighted time-integral of coherence — and demonstrates that the TGU field equation admits self-sustained solitonic solutions when autocoherence exceeds dissipation (γ > λ). The phase space topology (S¹-valued phase θ) allows integer topological charge Q ∈ ℤ configurations, protected against continuous deformations. The Persistence Theorem states: if γ > λ, Ψ₀ > Ψ_c, and Q ≠ 0, the accumulated coherence pattern survives biological collapse indefinitely as a topologically protected soliton — not as a literal copy of the individual, but as the fundamental "melody" (relational structure) of that life's coherence signature. Nine testable predictions span epigenetics, anesthesia, aging biomarkers, high-coherence life effects, and potential cosmological signatures (vacuum topological echoes). This work extends Orch-OR with topology, offers a dark-matter-free gravity alternative (via coherence gradients), and reframes existence philosophically: reality is spin recognizing itself; what coheres persistently cannot be erased from the field's memory.
Popular accounts of quantum mechanics and cosmology increasingly invoke metaphors of “layered realities,” parallel universes, or co-located worlds accessible through perceptual or conscious “tuning.” While such metaphors are rhetorically compelling, they misrepresent both the operational content of quantum theory and the physical meaning of decoherence. In this correspondence, we argue that scalar-time physics (Time-Scalar Field Theory, TSFT) admits no ontological multiplicity of macroscopic histories. Instead, persistence of information requires dynamically stabilized resonance structures within a single continuous scalar-time manifold. Unrealized possibilities do not constitute parallel realities; they dissipate as non-propagating phase fluctuations once coherence is lost. We show that neither observer consciousness nor neural resonance functions as a selector among coexisting worlds, but rather as a coherenceparticipating subsystem embedded in the same scalar-time geometry. This framework preserves quantum indeterminacy without invoking ontological inflation and maintains empirical accountability through experimentally testable coherence dynamics.