ITOF History – Research platform for the ITOF framework (ITOF)

ITOF History

This page records the development of the Invariant Temporal Ordering Framework version by version, in order, and states the strongest elements each version contributed. The current governing foundation is ITOF V39/F19. Earlier versions remain historical-critical records and do not constitute parallel current authorities; where a later version revised or removed a position, the entry says so.

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The current version is listed first; the entries after it run in chronological order from V15 to V38. Each states the version’s date, its official title, and the elements that proved durable or that first fixed a result later versions relied on. V14 and earlier are not covered here. Series numbering (F1 onward) begins with V21/F1. Dates are those printed on each version.

Six Threads Through the Versions

Temporal referent: from an ordered set of admissible states (V15–V20) to one common cosmic-stage domain with a strict earlier–later order (V25 onward, written (𝒮_C, ≺_C) in V26/F6), named the universal cosmic extension T_ITOF := ℰ_C := (𝒮_C^tot, ≺_C) in V36/F16, and defined word by word in V39/F19 as the invariant universal succession of the common stages of change.
Non-Transfer: success of a measurement, model or formalism does not identify its output with time (V18–V20, formalized as a Principle in V31/F11).
Change and stages: from reassignment of time-attributed phenomena (V21/F1) to bearer-specific change at every common stage (V25/F5 onward), stated as CMA and UCC, and in V39/F19 to the theorem that every stage is a stage of change of all its systems.
Identity and history: identity-bounded histories, formation, ending and successors (V26/F6 onward).
Beginning and end: a unique first stage (V28/F8), optional from V35/F15, and adopted in V39/F19 through the Ordinal Succession postulate and the Cosmic Origin postulate; non-termination open in V28/F8, derived in V33/F13 and V34/F14, direct in V35/F15–V37/F17, optional in V38/F18, and a revisable hypothesis with a stated evidential ground in V39/F19.
Accountability: from residual comparison (V16) to the clock-record bridge (V32/F12), predeclared foundation-to-observable prediction discipline (V38/F18), and the relativistic phenomenon bridge (V39/F19).

V39/F19 — October 9, 2026 — Current Governing Version

Invariant Temporal Ordering Framework V39/F19: Time as the Invariant Universal Succession of Common Stages of Change, Not Relativistic Geometry
ITOF Foundation Series XIX (F19) · Foundational Preprint

Time defined word by word: T_ITOF := ℰ_C := (𝒮_C^tot, ≺_C), the invariant universal cosmic extension. The extension is a non-metric succession; invariance means that it is non-reversed, with no stage empty of change or static.
The Ordinal Succession postulate: 0 ≺_C 1 ≺_C 2 ≺_C 3 ≺_C 4 ≺_C … ∞ (conditional). Stage 0 is the first stage of change, with the genesis of the universe; the numerals express only the fixed succession of the stages and are not added; ∞ is not a stage and is conditional. The Cosmic Origin postulate, optional since V35/F15, states its first-stage clause formally.
Common-stage admission: every stage is a common stage of the physical systems of the universe and, under the postulate of change (UCC), a stage of change of all its systems. Empty, static and private stages are excluded.
CMA stated as the unity of the stages of change: each system’s realization succession is a segment of the one common succession, with a direct contrary, a private stage or private ordering.
Mutual independence of CMA and UCC proved by countermodels in both directions; V38/F18 had proved one direction.
Uninterrupted change secured by UCC together with Identity-Realization Convexity.
Causes of change detailed through pathways, influence profiles, responsiveness and response classes; influences combine, and the realized change is not in general the sum of single-influence changes.
Special and general relativity read phenomenon by phenomenon through a relativistic phenomenon bridge. Every quantitative result is retained; only the identification of relativistic quantities with time is refused. The Lorentz transformations are derived from rods and clocks with no temporal premise.
No physical system returns to an earlier stage, along a closed timelike curve or otherwise; temporal geometry is not admitted; deformation predicates are reassigned to their physical bearers; spacetime is read as a representation of the gravitational relation; the Rietdijk–Putnam argument is answered.
A dimension-admission criterion, a currently-complete physical isolation criterion for testing UCC, a clock vibration-condition protocol, and the evidential ground of conditional non-termination.

V15 — May 18, 2026

Physical Realization and Residual Reassignment under Invariant Ordered Succession

Time defined as invariant ordered succession, T_ITOF = (S, ≺), kept separate from measurable physical difference.
Influence-character exclusion: physical influences act through properties; time has ordering structure and no influence-character.
Measurable residuals assigned to physical realization, not to deformation of time.

V16 — May 23, 2026

Predictive Physical-Realization Closure under Invariant Ordered Succession

Preserves the V15 ontology unchanged and makes residuals predictively constrained.
Calculated–observed residual comparison within experimental uncertainty; predictive success supports a constrained physical-realization model.

V17 — May 28, 2026

Implementation-Conditioned Domain-Realization Law under Invariant Ordered Succession

Measurable realization fixed within a bounded domain as a function of response organization, realized domain-specific influence profile and the surrounding physical environment.
The environment treated as an implementation condition, explaining why the same response class can yield different outcomes in different contexts.

V18 — June 1, 2026

Outcome Assignment and Non-Transfer to Time under Implementation-Conditioned Physical Realization

An outcome-assignment layer: the outcome of a system in a domain is assigned to the combined relation among system structure, realized influence profile and environment, not to any one alone.
First explicit statement of non-transfer to time.

V19 — June 3, 2026

Relativistic Interpretation Reassignment under Invariant Ordered Succession

Accepts measured clock asymmetries and operational success; places the disagreement in ontological transfer, not in whether relativistic models work.
Maps predictions onto operational relativistic measurements to show why observed divergences do not establish deformation of time itself.

V20 — June 8, 2026

Ontological Assignment Closure under Invariant Ordered Succession

The non-transfer principle for measurement, clocks and operational success: no measured output is transferable to the ontology of time unless time is first shown to have physical influence-character.
Clocks as symbolic physical systems converting regular processes into numerical ordering references; clock drift and failure belong to the clock system.

V21/F1 — June 12, 2026

A Fundamental Reassignment Law for Time-Attributed Phenomena under Invariant Ordered Succession · Series I (F1)

A general reassignment law for phenomena commonly attributed to time (growth, aging, learning, failure, clock divergence, signal delay, the sense that time passes): they are not denied but assigned to their physical, biological, cognitive, observational, measurement or representational determinants.
The central clarification that time is not identical with change.

V22/F2 — June 17, 2026

A Fundamental Assignment Law of Systemic Change-Realization under Invariant Ordered Succession · Series II (F2)

Adds the change-realization layer: a system changes through its own response operator under determinant engagement.
Time excluded from the class of influencing factors: it has no intensity, range, mode of action or pathway, and does not produce, transmit, accelerate or delay change.

V23/F3 — June 27, 2026

Universal Temporal Meaning and the Systemwise Realization of Physical Change · Series III (F3)

Realized change constructed without presupposing stages; a stage derived only after change is established, with the prior–later relation primitive.
Finite plateaus, equilibrium, recurrence and stationary observables admitted.
An exact conditional countermodel stated, showing what the universal postulate excludes.

V24/F4 — July 6, 2026

A Universal Theory of Temporal Succession, Realized Physical Change, and Relativistic Measurement · Series IV (F4)

Ontic starting point at a declared physical bearer and its non-enumerated actual stages.
One extension for all systems, with stages of different systems related by objective absolute simultaneity as a direct relation, introducing no universal physical stage, container or collective object.
Time expresses only the extension and ordering, not the bearer-specific differences, mechanisms or causes.

V25/F5 — July 10, 2026

A Foundational Theory of Temporal Succession, Realized Physical Change, the Cosmic Moment Axiom, and Relativistic Measurement · Series V (F5)

First formal Cosmic Moment Axiom: at every later common stage, change is realized in every qualified system whose identity is then extant.
The Universal Continuing Change Principle as the bearer-specific expression of that claim.
The cosmic extension defined as neither a moving entity, a carrier nor a medium.

V26/F6 — July 17, 2026

A Foundational Theory of Cosmic Onset, Common Cosmic Stages, Universal Physical Change, and Identity-Bounded Physical Histories · Series VI (F6)

Reconstruction of the ontology from systems, common stages and identity-bounded histories; time written as (𝒮_C, ≺_C).
First stage-population requirement, as the nonempty-population conjunct of the Cosmic Moment Axiom.
The universe defined as the totality of all physical systems, not an additional bearer above them.
“Uninterrupted” defined as excluding cessation of realization and empty stages, without classifying the order as discrete, dense or metric.
CMA reconstructed to state both universal presence and bearer-specific realization.

V27/F7 — July 18, 2026

A Foundational Ontology of Universal Cosmic Succession, Identity-Bounded Physical Histories, and Bearer-Specific Change · Series VII (F7)

Earlier–later relation fixed as strict, transitive, total on distinct stages and irreversible.
The common-stage domain kept logically distinct from bearer-specific realization.
The stage-population requirement restated as a separate condition, and common-stage unity separated from equality of state, mechanism, magnitude or rate.

V28/F8 — July 23, 2026

A Foundational Historical-Critical Reconstruction of Transformation Semantics, Physical Production Linkage, and Successorship · Series VIII (F8)

A unique actual first cosmic stage that is not changeless: the first identities undergo their first positive physical realizations.
The Actual Formation Boundary introduced.
No greatest cosmic stage postulated; universal termination not asserted as inevitable.
Successor production restricted to identity-producing endings, with typed production linkage and an explicit exclusion of an infinite same-stage cascade.
Commitments assigned to the correct logical type (postulate, principle or model constraint) rather than presented as theorems.

V29/F9 — July 2026

The Comprehensive Governing Synthesis of Universal Cosmic Succession, Physical Identity, Transformation, and Spatial Realization · Series IX (F9)

One identity-bounded history per bearer with a unique formation member and unique ending member; one-stage histories admissible.
Functional failure distinguished from identity ending.
Successor identities formed only by identity-producing endings; an ending may instead or additionally contribute to existing bearers.
Integration of spatial realization, place and motion.

V30/F10 — July 30, 2026

Reconstructed Foundations of Universal Cosmic Succession and Bearer-Specific Physical Change · Series X (F10)

Change attributed to a system only while its numerical identity is realized, and defined as realized differences in material constitution or structure, visible or not, detectable or below threshold.
A system that influences another remains a system; its influencing role does not reclassify it as a factor.
The universe defined as the totality of realized systems, not a container.
Cosmic Origin, CMA, UCC, formation, ending and Necessary Successor Closure stated as separate commitments so that none is hidden in another’s definition (Necessary Successor Closure was later removed in V35/F15).

V31/F11 — August 1, 2026

Invariant Universal Cosmic Ordering, Bearer-Specific Physical Change, and the Non-Transfer of Temporal Ontology · Series XI (F11)

Non-Transfer Principle stated for operational, mathematical and model success.
Exact-stage restraint for observation, measurement and reconstruction.
Application controls for clocks, GPS-type navigation, light-path records, environmental conditions, quantum records and higher-dimensional geometry.
Stability without stasis and recurrence without reversal.
A quantitative bridge program distinguishing record recovery, explanatory adequacy and model-distinguishing prediction.

V32/F12 — August 8, 2026

Invariant Cosmic Succession, Bearer-Specific Physical Change, and the Quantitative Clock-Record Bridge · Series XII (F12)

Carrier response models, parameter provenance, uncertainty and covariance treatment, out-of-sample assessment, and explicit acceptance and failure conditions.
A carrier-differential local comparison defined as a falsifiable separation target.
Explicit statement that no independently derived nonzero separating coefficient and no experimental confirmation is claimed, and that any simulation is a sensitivity study.

V33/F13 — August 10, 2026

Cosmic Succession, Cumulative Physical Change, and Eventual Identity Ending · Series XIII (F13)

Cumulative-change and eventual-ending architecture, with the mathematical history distinguished from the cumulative physical object.
First derivation that the succession has no greatest stage.
Stability, recurrence and relative rest treated as compatible with uninterrupted change; motion treated as one possible form of change, not a universal requirement.
Quantitative clock-record bridge retained and strengthened.
Later status: the universal eventual-ending postulate and Necessary Successor Closure of this version were not retained after V34/F14 and V35/F15.

V34/F14 — August 20, 2026

Common Cosmic Stages, Uninterrupted Physical Change, and Physical Identity-Ending Causation · Series XIV (F14)

CSPP, CMA and UCC named as three separate foundational roles.
The identity-realization range recorded as where an identity is realized, without selecting or privatizing cosmic stages.
Historical physical accumulation defined as a designation of realized change, not a sum, store or second history, and separated from the present resultant.

V35/F15 — August 25, 2026

Universal Cosmic Succession and System-Specific Physical Change · Series XV (F15)

Definition of time separated from the additional conditions governing the actual succession: strict ordering, uninterrupted succession, non-terminating succession.
Universal Necessary Successor Closure removed; successor attribution became conditional.
The cosmic origin made optional.
Non-termination placed directly in the ordering architecture rather than derived from other premises.
Explicit statement that none of these commitments introduces metric duration, equal spacing, density, adjacency or a numerical stage index.

V36/F16 — August 31, 2026

Universal Cosmic Extension, Common Cosmic Change Stages, and System-Specific Physical Change · Series XVI (F16)

Time stated as the non-metric extension constituted by the ordered succession itself, introducing no second temporal object, and named T_ITOF := ℰ_C := (𝒮_C^tot, ≺_C).
CMA as meaning-fixing axiom of one-common-stage realization, excluding system-private stages later equated by convention.
Complete-population physical-change coverage made explicit.
CMA stated as not definitionally identical with UCC and not entailing it.

V37/F17 — September 7, 2026

Universal Cosmic Extension, Integrated Universal Common-Stage Change Realization, and Quantitative Bridge Architecture · Series XVII (F17)

Temporal referent stated as the ordered pair of the full common-stage totality and the universal earlier–later relation.
Strict total order, with irreversibility following from it: a later stage stays later even when a system realizes a state equivalent to an earlier one.
NoInterruption and NoTerminalStage kept as separate succession commitments outside the minimal definition of time.
Complete realization profiles, typed bridges, explicit countermodels, and a dedicated quantitative bridge architecture.

V38/F18 — September 19, 2026

Invariant Cosmic Extension, Objective Common-Stage Co-Presence, and Universal Change Continuity · Series XVIII (F18)

Stage admission by realized change: a stage is admitted only where at least one qualified physical system actually changes; stage population is derived and no longer an independent postulate.
Explicit separation of CMA (objective common-stage co-presence, taken as primitive and meaning-fixed) from UCC (system-specific change through each identity range), joined by the defined conjunction StageChangeBridge, with a countermodel showing that UCC does not entail CMA.
Stage-relative physical totality typed into qualified systems and non-system physical factors.
Consolidated causal architecture (CRP): internal contributors, influencing systems, influencing factors.
Quantum stationary-state counterconditions preventing global phase or non-detection from being treated as automatic physical change.
Optional non-termination, proof that ontological difference alone produces no prediction separation, and stricter discipline for foundation-to-observable prediction.

Positions Revised Across the Versions

The following positions changed, and are recorded so that no earlier formulation is mistaken for the current one.

Stages and change: V23/F3 derived stages only after change was established; V24/F4 began from stages of a declared bearer; V38/F18 admitted a stage by realized change in at least one qualified system; V39/F19 admits every stage as a common stage of the physical systems of the universe and derives from UCC that it is a stage of change of all its systems.
CMA: V25/F5 stated it with change realized in every qualified system; V36/F16 made it a meaning-fixing axiom of one-common-stage realization; V38/F18 took co-presence as primitive; V39/F19 states it as the unity of the stages of change through realization successions, with a direct contrary.
Successor closure: V28/F8 and V29/F9 restricted successor production to identity-producing endings; Necessary Successor Closure was stated in V30/F10–V34/F14; V35/F15 removed it, and V39/F19 keeps successor attribution conditional, admitting absorption without a new successor identity.
Stage population: a population condition first appears in V26/F6, is restated separately in V27/F7, is named CSPP as an independent postulate in V34/F14–V37/F17, and is a derived consequence of stage admission from V38/F18; in V39/F19 it follows directly from common-stage admission.
First stage: V28/F8 stated a unique actual first stage; V30/F10 stated Cosmic Origin as a separate commitment; V35/F15 made it optional; V39/F19 adopts it through the Ordinal Succession postulate, with the Cosmic Origin postulate as its formal first-stage clause.
Non-termination: V28/F8 postulated no greatest stage without asserting termination as inevitable; V33/F13 first derived the absence of a greatest stage, and V34/F14 derived it again from a different premise set; V35/F15–V37/F17 stated it directly; V38/F18 made it optional; V39/F19 keeps it a revisable hypothesis with a stated evidential ground, so that ∞ remains conditional.

Project and Archive Records

Zenodo Archive — DOI 10.5281/zenodo.19542538

OSF Project / Registration — DOI 10.17605/OSF.IO/CWYFX

Previous Version: V38/F18