Ranesis conducts foundational research on coherence, time, and the conditions under which systems maintain stability as they evolve. This research is part of the Ranesis framework, introduced by Alexandre Ramakers.
Our work starts from a simple observation: in real systems, stability is not a static property. It must be continuously maintained under temporal constraints, interaction, observation, and external pressure. When this maintenance degrades, systems may remain locally correct while losing global coherence.
Research at Ranesis focuses on identifying and modeling the mechanisms that allow systems to persist, adapt, and remain aligned over time. This includes the study of non-local effects, coordination costs, temporal saturation, and failure modes that do not arise from isolated faults but from cumulative drift.
The research spans multiple domains, including physical systems, computational processes, energetic regulation, and organizational structures. These domains are treated through a unified conceptual lens, without assuming domain-specific primitives.
Method: we model coherence as a maintained property under temporal constraints, then test the lens on recurring real-system failure patterns.
A central aspect of this work is the distinction between operation and maintenance. While operation produces outputs, maintenance preserves the internal conditions that make those outputs meaningful over time. Many real-world failures arise when maintenance becomes implicit, deferred, or structurally under-resourced.
Research outputs take several forms:
foundational theoretical frameworks,
analytical models of coherence and temporal constraints,
applied frameworks leading to protected intellectual property.
Public materials on this site present selected high-level research notes and conceptual results. Detailed mechanisms, implementations, and evaluations are discussed selectively.
Selected applications derived from this research are described separately.
The publications below form a coherent progression, moving from methodological clarification, through foundational concepts, to formal instantiations and domain-specific applications.
They are not independent contributions, but successive layers of a finite-horizon structural framework.
On Differentiability, Memory Kernels, and the Structural Status of Time (2026)
Clarifies the status of differentiability as an effective descriptive regime rather than a fundamental property of time.
Establishes memory-based temporal organization as structurally prior, preparing the ground for finite-horizon formulations.
Foundation of Time (2026)
Develops a pre-dynamical structural analysis of time based on persistence, maintenance, and coherence.
Does not assume physical time, spacetime, or equations of motion, and serves as the conceptual backbone of the framework.
Provides a unified structural synthesis of the finite-time persistence framework.
Develops the organization of persistence, coherence, and regime viability at the level of physical description, without introducing new dynamics, and situates the finite-time invariant as a regime-admissibility constraint across physical domains.
Limits of Time (2026)
Clarifies the structural limits under which physical regimes can remain coherent, identifiable, and describable over finite time.
Completes the first conceptual arc of Ranesis by showing that time is not primary, but emerges from finite persistence and bounded maintenance.
The Maintenance Invariant: Definition, Domain, and Minimal Properties (2025)
Introduces the maintenance invariant as a primitive structural quantity and fixes its domain of validity.
Separates definition from derivation, interpretation, and application.
Temporal Coherence as a Dimensionless Measure of Temporal Persistence (2025)
Defines temporal coherence as a dimensionless ratio characterizing persistence over finite durations.
Provides the operational meaning of coherence used throughout the framework.
Kernel-Weighted Local Conservation and a Unique Finite-Time Invariant (2025)
Derives a unique finite-time invariant from kernel-weighted conservation principles.
Provides the first rigorous mathematical instantiation of the maintenance structure.
Finite-Time Conservation as a Universal Superstructure of Local Field Theories (2025)
Shows that standard instantaneous conservation laws arise as limiting cases of finite-time conservation.
Establishes the universality of the finite-time structure across classical, quantum, and relativistic field theories.
Thermodynamics of Finite-Time Conservation and Coherence Maintenance (2025)
Extends thermodynamic bookkeeping to finite-time regimes by incorporating temporal coherence.
Introduces energetic bounds for coherence maintenance without modifying the laws of thermodynamics.
Decoherence at Finite Times: A Local Coherence Field Approach (2026)
Applies the finite-time coherence framework to open quantum systems.
Introduces a local coherence field as an operational diagnostic of decoherence persistence, without altering quantum dynamics.
Dimensional Selection by Finite-Time Maintenance (2026)
Applies the maintenance criterion to spacetime dimensionality.
Shows that four-dimensional spacetime emerges as a critical maintenance regime between dilution (D > 4) and overconstraint (D < 4).
Coarse-Grained Dynamics of a Local Temporal Coherence Field (2026)
Develops a minimal coarse-grained dynamical framework for the organization of temporal coherence in space and time.
Shows that coherence dynamics generically falls into the reaction–diffusion universality class and gives rise to stationary spatial organization.
Coherence-Mediated Balance Between Thermal Agitation and Gravitation (2026)
Applies the finite-time coherence and maintenance framework to gravitational and thermally active physical regimes.
Introduces a minimal phenomenological mediation in which coherence (persistence capacity) is governed by the balance between gravitational concentration and thermal agitation.
Clarifies radiation as an energy escape channel rather than a mediator of coherence, and embeds the mediation structure within the maintenance invariant without modifying established physical theories.
Reconstructs the scalar closure of finite-time persistence from admissible representation, kernel, and reduction assumptions.
Identifies Y=EC/T as the canonical scalar generator of finite-time viability within the homogeneous single-index framework.
Finite-Horizon Structures I: A Minimal Axiomatic Category of Projective Homogeneous Structure (2026)
Reconstructs the framework at a purely axiomatic and categorical level.
Defines finite-horizon structure abstractly and identifies the canonical homogeneous scalar associated with its projective structural class.
Finite-Horizon Structures II: Differential Geometry Induced by the Projective Y-Structure (2026)
Develops the minimal differential geometry induced by smoothly varying projective Y-structure.
Introduces the coherence 1-form, degenerate Y-metric, transverse pseudometric geometry, and their compatibility with geometric Y-morphisms.
Finite-Horizon Structures III: Measure-Theoretic Realisation of the Projective Y-Structure (2026)
Develops the measure-theoretic realization of projective Y-structure.
Defines the associated Y-measure class, establishes uniqueness relative to a fixed reference measure, and formalizes the scaling action of measurable Y-morphisms.
Finite-Horizon Structures IV: Local Differential Field Structures Associated with the Projective Y-Structure (2026)
Develops the local differential field structures induced by projective Y-structure.
Introduces weighted fields, ThetaY-twisted connections, and weighted divergence operators organized by the coherence 1-form.
Finite-Horizon Structures V: Projective Dynamics Induced by the Y-Structure (2026)
Develops the minimal dynamical layer of projective Y-structure.
Defines projective Y-flows, derives the multiplicative and exponential scaling law, and proves compatibility with the coherence form, weighted local structures, and the Y-measure class.
Finite-Horizon Structures VI: Fertility Spectrum and Structural Thresholds in Superlevel Y-Filtrations (2026)
Develops an additional admissibility layer based on superlevel Y-filtrations.
Introduces fertility spectra, induced structural thresholds, and a finite-horizon criterion for structural percolation relative to a chosen representative.
Structural compatibility
Structural Compatibility I: Linearity as a Rigidity Normal Form on the Persistence Leaf under Finite-Horizon Admissibility (2026)
Shows that, under affine regularity and admissibility constraints, the persistence leaf admits a real linear normal form.
Establishes the minimal affine-linear backbone on which later compatibility layers can be built.
Structural Compatibility II: Recurrent Compact Internal Symmetry and the Emergence of Complex Projective Kinematics (2026)
Shows that recurrent compact internal symmetry upgrades the affine real backbone to a complex-unitary rotational structure and, under phase-uniformity, to projective kinematics.
Identifies a structural route from real affine compatibility to complex projective geometry.
Structural Compatibility III: Structural Observables in the Complex Persistence Regime (2026)
Shows that the complex persistence regime naturally supports a minimal Hermitian operatorial structure generated by admissible unitary internal flows.
Identifies the spectral-projective backbone of observables, including projectors, compatible families, and joint unitary actions.
Structural Compatibility IV: Maintenance Breakdown, Adaptive Thresholds, and Spectral Filtering (2026)
Shows that the Hermitian-projective regime remains valid only inside a stable maintenance domain and that breakdown is best understood as regime transition under adaptive admissibility conditions.
Establishes the first structural account of post-breakdown spectral filtering, restricting admissible continuation to the sectors that remain maintainable after threshold crossing.
Structural Compatibility V: Conditional Lorentzian Principal Structure and Quadratic Mass-Shell Constraint from External Translation-Type Actions (2026)
Shows that, once external translation-type actions are supplemented by finite propagation and single-parameter hyperbolic admissibility, the principal external kinematics becomes Lorentzian.
Establishes the canonical quadratic mass-shell constraint on irreducible sectors under an added Lorentz-covariance compatibility condition on the translation generators.
Structural Compatibility VI: First-Order Relativistic Factorisation and Conditional Clifford-Spinorial Realization (2026)
Shows that the quadratic relativistic sector isolated in SC V admits, under explicit first-order and compatibility assumptions, a minimal Clifford-spinorial realization.
Identifies the structural passage from mass-shell kinematics to Dirac-type propagation and shows how this spinorial layer can be reinserted into the broader Hermitian-projective maintenance framework.
Each publication is accompanied on Zenodo by a minimal structural annotation intended for machine-based indexing.
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