SMM / DTT/Constants explorer
Research snapshot · Oct 2026
FROM PREMISE TO PHYSICAL QUANTITY

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Understand the ideas, follow the mathematics, and inspect the open steps.

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A curated research snapshot, with source-local equations and the unresolved interfaces retained.

Snapshot · 15 Oct 2026
C · PRIMARY CONSTANTS PROGRAM

Physical Constants from Temporal Completion

Exact Compact-Phase Response, Spectral Readout, and a Unified SMM/DTT Derivation Program. Version 2, 7 October 2026, 32 pages.

constants_program_v2(1).pdf
  • Action–phase bridge: §4, pp. 6–7.
  • Structural count / Maxwell matching: §§6–7.
  • Completed heat-kernel response: §§8–10.
  • Mass, gravity, vacuum dictionaries: §§11–14.
  • Shared correction failure: §15.2, pp. 24–25.

This explorer summarizes the source snapshot reviewed on 15 October 2026. The manuscript PDF is not included in this website package.

Q · NEWER STRUCTURAL RECONSTRUCTION

Quaternionic Rank-Three Readout, Hopf Degree, and Free Exterior-Branch Reconstruction

smm_dtt_quaternionic_3d_space_alpha0_v5(2).pdf

The abstract and selected constructions in §§4–9 give the object-level reconstruction: dim Q=10, exterior branches (1,3,7), terminal rank 137 and determinant phase 1/137. The explicit quaternionic, receiver and covariance hypotheses remain visible.

This strengthens the structural route beyond the earlier aggregate trace construction. Its own electromagnetic matching limitations are preserved. The explorer does not claim an audit of every proof in this manuscript.

Abstract and introduction, pp. 1–2; quaternionic readout and receiver construction, §§4–9, pp. 9–19. Expanded guides checked 16 October 2026.
R · NUMERICAL REFERENCE

NIST / CODATA 2022

Central values for α⁻¹, G, electron mass and proton–electron mass ratio. h and c are exact SI defining constants. ℏ is computed as h/(2π).

Open NIST extensive constants listing ↗
Checked 15 October 2026. Cosmological inputs H=2.27×10⁻¹⁸ s⁻¹ and ΩΛ=0.69 come from C §13.3 as illustrative benchmarks, not from this reference table.
P · PUBLISHED BACKGROUND

Published work cited by the constants program

These links provide background for the organizing framework and phase constructions. They are not treated as numerical derivations of the six constants.

Background attribution follows C §1. This version does not reproduce or independently validate these papers.
H · STANDARD HYDROGEN INTERPRETATION

MIT OpenCourseWare · Quantum Physics I

The hydrogen subsection uses the nonrelativistic Coulomb spectrum and virial theorem. The speed is a root-mean-square quantum observable. The Coulomb Hamiltonian already contains α, so this relation is an interpretation of the coupling.

8.04 problem set 10, question 6 · Virial theorem and hydrogen ↗
Barton Zwiebach, Spring 2016. Checked 16 October 2026. The text and figures here are original summaries, not reproduced course material.

Figures and reading guides

The expanded edition includes a foundations guide, six step-by-step summaries and eight original SVG figures. Conceptual diagrams are labeled as schematics; the mass-ratio curve evaluates the displayed polynomial. Fixed illustrative figures do not change with the workbench parameters. Open or download the SVG for a larger view.

The expansion explains the same model snapshot. It does not incorporate all later manuscripts or announce a new derivation of a measured constant.

How this explorer labels evidence

Postulate Organizing SMM/DTT principle. Supplied input A free, illustrative, measured, or calibrated number. Extra assumption Additional architecture or rule. Model result Exact algebra or a numerical evaluation within that model. Open interface Missing physical theorem or identification. Target reused A target imported to reconstruct itself.

  • Numerical response uses finite symmetric discrete-Gaussian sums with a width-adapted cutoff. This is double-precision computation; it is not a formal interval proof.
  • Calibration loops are detected from directed edges in the active route. Hidden assumptions outside the curated graph require further audit.
  • Dimensional checks compare [M,L,T] exponents algebraically. Passing a check does not establish physical correctness.
  • The source program explicitly says that empirical α, particle masses, Newton’s constant and dark energy are not derived from the SMM/DTT core alone.
  • Only browser-local parameters are retained. Scenario export contains inputs, outputs, statuses and provenance; no upload or external analytics is used.
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