PulseExploreJournal ClubResearchersJournals
Instagram
HomeJournal ClubExplore
Synapse
⌘+K
Synapse
May 18, 2026Open Access

On the Algebraic Restoration of the Pure-Time Argument of Probability

View Full Paper
Ask AI
Bookmark
Share

Authors

JBJuan Ignacio Vázquez Broquá

Discussion

Loading...

Member takes

Overview

Restores the probability argument in pure time coordinates, indicating fresh insights into statistical methods.

Key Points

  • The aim is to restore Hamilton's probability argument by utilizing a pure-time coordinate system.
  • Applied a single ordinary-least-squares regression on the pure-time basis (yt,∆yt).
  • Demonstrated algebraic equivalence to an autoregressive VAR(2) model.
  • Derived the error-correction matrix and cointegration rank from OLS estimates.
  • Successfully restored Hamilton’s argument for probability in a pure-time coordinate system.
  • Achieved direct emergence of the error-correction matrix from OLS estimates.
  • Linked statistical methods to theoretical foundations in companion papers.

Cite This Study

Juan Ignacio Vázquez Broquá (2026) studied this question.

synapsesocial.com/papers/6a0aad145ba8ef6d83b708d5https://doi.org/10.5281/zenodo.20237554
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Some Brief, Late-Arriving Notes Respecting Discrete-Time Stochastic Processes and the Hamiltonian Programme of Algebra as the Science of Pure Time2026
  2. 2Pure Temporal Geometry: The Invariant2026
  3. 3Pure Temporal Geometry: The Invariant2026
  4. 4PAPER-Ω: Time from Geometry: Multi–Layer Temporality and Phase Locking in a Six–Dimensional Symplectic Framework2026
  5. 5Paper C: The Music, Splitting Harmony from Chaos2026