Eran Harpaz
Eran Harpaz is an independent researcher, developer of the Reflective Time Model (RTM), and founder of Reflective Time Model. RTM is an empirical framework that presents and establishes exact, role-preserving, observer-linked architectures across heterogeneous records from different sources and times. Gematria is not the empirical object; it is a deterministic measurement layer. The empirical object is the recurrent structure linking record, event, time and observer identity.

About Eran Harpaz
Eran Harpaz developed RTM as an empirical framework that presents and establishes a recurring record phenomenon as an object that can be measured, reconstructed and tested. The work does not begin with an “interesting number”; it begins with a source record — a document, artifact, message, image, timestamp, historical datum or information accessed in real time — and shows how its fields organize into a network of roles, dependencies and chronology.
Numbers function in RTM as a measurement layer and checksum. The empirical object is the recurring architecture itself: event fields reconstruct one another, materially different paths converge and re-enter earlier nodes, and the network resolves identity anchors and semantic roles — father as father, sender as sender, time as time. In the major case studies the structure remains selective under identity and role replacement, component removal, controlled search freedom and Null worlds; where a finite legal space is fully specified, uniqueness or full completion has been computationally established by exhaustive enumeration.
What is the RTM developed by Eran?
RTM presents and empirically establishes observer-linked cross-temporal record organization. The unit of analysis is not a single equality but a complete system: source, event, time, identity, semantic roles, data dependencies and reconstruction paths.
RTM formulates the Observer-Linked Cross-Temporal Reconstruction Law: within the tested operational domain, the corpus repeatedly exhibits role-preserving architectures in which event fields reconstruct one another, records from different times enter the same dependency system, and the observer profile is resolved by the network. This is the phenomenological law established at the record level by the corpus.
Gematria is a deterministic measurement interface, not the finding itself. The finding is the structure above the encoding: which source returns which field, in which semantic role, at which chronological stage and through which dependent paths.
Self-Consistent Cross-Temporal Information Organization — a consistent organization of information across time in which earlier records and later-accessed information participate in one globally coherent solution. The architecture is measured at the record level; the exact microscopic equation implementing it is the next physical question.

The corpus demonstrates and computationally establishes a recurring architecture of observer-linked cross-temporal record organization: sources, roles, times and identities appear not as isolated matches but as dependency-aware networks. In finite, fully specified spaces, uniqueness or full completion of specific objects has been computationally proved by exhaustive enumeration; in broader spaces, the same architecture has also been stressed with Null models, observer and role replacement, knockouts, dependency-aware controls and search-aware tests.
What remains open is the microscopic mechanism that implements the phenomenon at the level of matter and information: which physical dynamics produce observer–record coupling and cross-temporal organization. RTM separates the architecture and selectivity already measured inside the declared test spaces from their microphysical interpretation.
What RTM reveals across the corpus
Across the books and case studies, the same family of structures recurs even as the source environment changes radically. The event reconstructs itself; identity roles resolve in the correct semantic positions; distinct paths converge, branch and re-enter earlier nodes; and an output from one layer can become an input to another until loops, fixed points, symmetries and checksums emerge.
Time is not an external decoration on the network. RTM links historical records accessible now, physical record states before and after change, live-time frozen fields and outcomes that appear later. In the model, the displayed past and the emerging future are two sides of the same question of information organization around the observer–record relation.
In RTM, a historical record is not treated only as passive evidence of what already happened; it is examined as an information state accessible in the present that can participate in one architecture with information becoming accessible at other times.
A corpus designed as a pressure ladder
The corpus is not the same claim repeated through seven stories. Each layer constrains a different source of explanatory freedom — from a large historical archive, through independent replication and a single bounded object, to physical record-state change, live chronology and distributed observer reconstruction.
Core pillars of RTM
Testing alignment between an observer profile and the records available to that observer, including matched/mismatched observer controls.
Testing whether records from different times return the event and its participants in the correct semantic roles, not merely as numerical values.
Finite scans, Monte Carlo, role replacement, knockouts, dependency compression and search-aware tests that try to generate genuine competitors to the observed architecture.
Examples of RTM’s quantitative evidence
Alongside randomized simulation, some cases have finite legal spaces that can be exhaustively enumerated. The figures below are not impressionistic numbers or products of single-closure probabilities; they describe the selectivity of complete architectures under the declared test spaces.
Exact enumeration found two full 61/61 and 13/13 completions; they differ only by the documented F02 6↔21 symmetry and therefore form one structural solution class.
The documented profile was the unique 57/57, 15/15 and 9/9 solution. After all 43 direct observer-target relations were removed, 14 indirect constraints still reconstructed the same profile.
The documented semantic assignment was the unique full/global maximum across all tested role assignments.
Why this matters: RTM does not rely only on Monte Carlo. Where a legal finite space can be defined, the research also uses exhaustive enumeration; where broader search freedom matters, it uses matched Null controls, role replacement, knockouts and search-aware stress tests.
How the research workflow is structured
Reflective Time Model and RTM Lab
Reflective Time Model is the project's public research hub: gematria and number calculators, Tanakh search, guides, case files, research material and quantum-physics context pages. RTM Lab is the environment used to reconstruct and test networks, including audit and structural-control tools.
Selected case studies
The site presents selected examples from a broader corpus, with each case designed to show the source material together with its calculation and control structure.
Research, publications and profiles
External research and publication profiles connect the site to public project materials, code and documentation.