Grammar of Time – GT-00: The Mother Cascade — A Typed Finite Factorisation and Regressive Witness Theorem
Abstract
What can be derived before time, space, metric, probability, or physical objects are assumed? GT-00 gives the Mother Cascade an exact finite typed realisation. Complete continuation profiles determine a minimal predictive carrier, a pointed effect map, and complete contrast-transport profiles. With explicitly declared operational enrichments, the construction then distinguishes genealogically certified non-identical restitution, the restitutive Web, its compositional hull, partial public closure, operational boundary, witnessed recovery, and residual defect. The paper proves predictive minimality, the relevant leastness results, regressive witness extraction for Cascade-active residues, and invariance under enriched isomorphism. Finite counterexamples show exactly which later stages cannot be recovered from response data alone. The result is not an empirical physical law or a guaranteed production rule. It is a foundational audit theorem separating what a response structure forces from what must be independently certified, without silently reintroducing time, space, metric, probability, field, or ontology as primitives.
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BibTeX
@misc{bortolameotti2026grammar,
title = {{Grammar of Time – GT-00: The Mother Cascade — A Typed Finite Factorisation and Regressive Witness Theorem}},
author = {DARVY BORTOLAMEOTTI},
howpublished = {Zenodo (CERN European Organization for Nuclear Research)},
year = {2026},
month = jul,
doi = {10.5281/zenodo.21469886},
url = {https://doi.org/10.5281/zenodo.21469886},
note = {CC BY},
}
RIS
TY - UNPB
TI - Grammar of Time – GT-00: The Mother Cascade — A Typed Finite Factorisation and Regressive Witness Theorem
AU - DARVY BORTOLAMEOTTI
PY - 2026
DA - 2026/07/01
PB - Zenodo (CERN European Organization for Nuclear Research)
DO - 10.5281/zenodo.21469886
UR - https://doi.org/10.5281/zenodo.21469886
AB - What can be derived before time, space, metric, probability, or physical objects are assumed? GT-00 gives the Mother Cascade an exact finite typed realisation. Complete continuation profiles determine a minimal predictive carrier, a pointed effect map, and complete contrast-transport profiles. With explicitly declared operational enrichments, the construction then distinguishes genealogically certified non-identical restitution, the restitutive Web, its compositional hull, partial public closure, operational boundary, witnessed recovery, and residual defect. The paper proves predictive minimality, the relevant leastness results, regressive witness extraction for Cascade-active residues, and invariance under enriched isomorphism. Finite counterexamples show exactly which later stages cannot be recovered from response data alone. The result is not an empirical physical law or a guaranteed production rule. It is a foundational audit theorem separating what a response structure forces from what must be independently certified, without silently reintroducing time, space, metric, probability, field, or ontology as primitives.
ER -