No Ad-Hoc Parameters: A Methodological Feature of TSTOEAO Across Empirical Protocols

No Ad-Hoc Parameters: A Methodological Feature of TSTOEAO Across Empirical Protocols

DOI (to be assigned) 

February 26, 2026

John Swygert

Abstract

Three published TSTOEAO protocols test substrate signatures at optical, atomic, and astrophysical scales using predictions derived solely from the governing relation

V = E × Y

and the invariant y_eq ≈ 0.792.

When transitioning between domains, no additional adjustable constants are introduced. This note clarifies the methodological significance of that parameter minimalism and contrasts it with established physical frameworks in which adjustable parameters are structurally present and subsequently constrained by observation.

The absence of domain-specific parameter additions in TSTOEAO is a structural feature open to empirical evaluation as new datasets become available. This note does not claim empirical confirmation; it identifies a methodological property subject to continued scrutiny.

1. The Governing Relation

TSTOEAO rests on one axiom: opportunity is filtered by encoded equilibrium inside bounded containers.

All quantitative predictions derive from this relation and the invariant y_eq ≈ 0.792.

These quantities are defined within the framework and applied uniformly across optical, atomic, and astrophysical regimes without the introduction of new tunable constants.

2. Clarifying “No Ad-Hoc Parameters”

In this context, “no ad-hoc parameters” does not imply that other physical theories are flawed. Rather, it refers to the absence of additional adjustable constants introduced when extending the framework across physical scales.

Specifically, TSTOEAO: • Does not introduce new coupling constants when moving from optical to atomic regimes. • Does not introduce scale-dependent correction terms in gravitational-wave applications. • Does not require domain-specific interpolation functions or adjustable potentials.

The same invariant structure governs all published protocols.

3. Parameter Usage in Established Frameworks

Many well-established physical frameworks include adjustable parameters as structural components. These are not defects; they are part of the theory’s architecture and are constrained by experiment.

3.1 The Standard Model of Particle Physics 

The Standard Model contains more than a dozen empirically determined parameters, including: • Fermion masses • Mixing angles • Gauge couplings • Higgs vacuum expectation value

These parameters are measured experimentally rather than derived from deeper principles.

3.2 ΛCDM Cosmology 

The ΛCDM model includes parameters such as: • Matter density fraction • Dark energy fraction • Hubble constant • Scalar spectral index • Matter fluctuation amplitude • Optical depth

These are constrained by CMB, BAO, and supernova observations.

3.3 Inflationary Models 

Inflationary cosmology introduces: • A scalar inflaton field • A potential with model-dependent parameters • Slow-roll parameters that determine spectral predictions

The specific potential form and parameter values are selected to match observational constraints.

3.4 Modified Gravity and Extended Theories 

Frameworks such as f(R) gravity or extra-dimensional models introduce: • Functional forms • Compactification radii • Coupling constants • Soft-breaking mass terms (in supersymmetry)

These quantities are constrained through experimental limits and collider data.

** 4. Published TSTOEAO Protocols**

The following protocols illustrate the absence of domain-specific parameter additions:

4.1 Temporal Double-Slit Protocol 

Phase windows and spectral interference arise from time-dependent boundary modulation under Y alone, without additional coupling constants.

4.2 Attosecond Z-Scaling Protocol 

The delay relation τ ∝ 1/Z with fixed Y ≈ 0.18 matches the helium measurement within experimental uncertainty and predicts Li⁺ and Be²⁺ values without adjustment.

4.3 O4 Gravitational-Wave Protocol 

SEQ clustering in the 0.78–0.81 band (≤1% scatter) and EQ stability near ≈0.72 (<1.5% deviation) follow directly from the governing relation and invariant structure.

No additional fitted constants are introduced when transitioning to astrophysical scales.

5. Methodological Implication

Parameter minimalism yields a meta-level expectation:

If the framework is correct, the same invariant quantities should continue to describe independent datasets without scale-dependent adjustment.

Future O4 analyses, next-generation attosecond measurements, and laboratory-scale experiments provide opportunities to evaluate this expectation directly.

This note identifies a structural feature of the framework rather than asserting empirical confirmation.

Conclusion

The absence of domain-specific adjustable parameters across optical, atomic, and astrophysical applications is a methodological feature of TSTOEAO.

This parsimony distinguishes the framework at a structural level. Its validity will be determined by continued empirical performance rather than by rhetorical claims.

No additional fitted parameters are introduced when applying the framework across scales.

References

1. Swygert, J. S. (2026). Temporal Phase-Window Gating and Spectral Interference as Equilibrium Reactions in the Subquantum Informational Substrate.

2. Swygert, J. S. (2026). Proposed Z-Scaling Test of TSTOEAO Entanglement Delays in Helium-Like Ions.

3. Swygert, J. S. (2026). Proposed Protocol for Searching Substrate Signatures (SEQ/EQ Clustering) in the Full O4 Gravitational-Wave Catalog.