WARPDRIVETECHOperational Quantum Gravity

Todd J. Desiato · Independent research program

Matter first.
Geometry afterward.

Operational Quantum Gravity asks whether the complete causal stress response of Standard-Model matter can supply the physical system that Einstein geometry describes at long wavelengths. Six connected papers now carry that program from the microscopic stress Hessian to practical matter scaling, cosmology, vacuum energy, and the black-hole endpoint.

“Matter tells matter how to scale. Geometry is just bookkeeping.”
Read the six-paper report Download all 8 PDFs
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06
Main papers
02
Appendix volumes
01
Matter-first framework

The research architecture

One calculation, followed through five layers

The newer companion papers isolate the most important links so each one can be examined independently. They extend the program; they do not replace its three earlier papers.

  1. 01Standard-Model stress

    Begin with the complete conserved tensor: gauge fields, fermions, Higgs, interactions, contacts, and physical vacuum response.

  2. 02TT stiffness

    Complete and renormalize the stress Hessian, then extract the physical transverse-traceless derivative coefficient.

  3. 03Causal compliance

    Invert only the conservation-allowed physical block and retain the retarded, massless long-range branch.

  4. 04Einstein-equivalent map

    Represent the infrared two-helicity response with fixed-measure WTDiff dynamics and recover Einstein’s equations.

  5. 05Operational consequences

    Apply the same response to rulers, clocks, equivalence, cosmology, vacuum shifts, collapse, and control research.

Complete publication report

The six OQG papers

Each entry separates the question asked, the calculation performed, the result obtained, and the boundary that remains open. All eight supplied PDFs are available directly from this site.

6 papers shown
01
Foundational synthesisv3.5 · 15 September 2026

Operational Quantum Gravity from Standard-Model Stress Response: Static Matching, Causal Tensor Dynamics, and Einstein-Equivalent Gravity

The complete interacting Standard Model is treated as the microscopic source of a causal tensor response whose long-wavelength representation is Einstein-equivalent gravity.

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Full report

Question

Can known quantum matter generate the constitutive stiffness, causal compliance, and massless spin-two structure needed for macroscopic gravity without making geometry fundamental?

Approach

Construct the closed-time-path stress Hessian of the conserved Standard Model, include Ward-required contacts, match the static TT sector through second order in the couplings, continue the retarded spectrum, and represent its infrared branch with fixed-measure WTDiff.

Main result

The calculation closes perturbatively into one finite matter-generated stiffness. Its causal response contains a massless long-range branch, an underdamped resonance, and separate pair-production and scattering continua. The minimal local WTDiff completion is Einstein-equivalent.

Boundary

The renormalized Higgs-curvature coupling and two finite three-dimensional Yang-Mills responses remain identifiable Standard-Model inputs. The reference-state intercept and the higher connected stress hierarchy remain separate closure calculations.

02
Operational framework & cosmologyv0.3 · September 2026

Operational Quantum Gravity in Practice: Spectral Stiffness, Matter Scaling, Equivalence, and Cosmology without Dark Energy

The spectral response is translated into a practical language for physical baselines, loading, unloading, clocks, rulers, equivalence, and an observational cosmology with no physical Dark Energy density.

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Question

How is the OQG response actually used when an epoch baseline, a gravitating source, a supported or accelerated preparation, and a measurement protocol act on the same matter?

Approach

Separate the full spectral kernel from its static coefficient; define epoch, ambient, prepared, and unloaded states; use complete-body conservation to connect inertial, passive, and source mass; then apply the common-scale branch to cosmic history.

Main result

Matched tensor loading supplies a matter-first equivalence principle. A two-parameter effective-time law fitted only to 32 cosmic chronometers gives χ² = 11.84 for 30 degrees of freedom; without refitting, it gives χ² = 6.60 for six DESI DR2 Alcock–Paczyński measurements, with every displayed marginal residual below 1.6σ.

Boundary

The cosmology is a cross-dataset feasibility result. Its effective relaxation history is reconstructed from observations; the microscopic Standard-Model entropy-production channels and coefficients remain to be calculated. It does not solve the dark-matter inventory.

03
Black-hole endpoint theoremv0.3 · 6 September 2026

Operational Quantum Gravity: Canonical Scale Covariance and the Zero-Extension Boundary of Black-Hole Matter

Exact zero extension is distinguished from arbitrarily small positive material scale and shown to lie outside the regular normal quantum state space.

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Question

Can a finite material system reach an ordinary quantum state with exactly zero operational extension during collapse?

Approach

Represent a resolved internal material coordinate and conjugate momentum by a finite canonical dilation. Track normalization, the commutator, uncertainty, reversibility, and accumulated logarithmic contraction.

Main result

Every finite dilation preserves the quantum relation and leaves a positive scale. Exact zero appears only at an infinite, noninvertible boundary with no normalizable representative. If accumulated response remains integrable at every finite loading stage, finite loading cannot attain that boundary.

Boundary

The theorem is conditional on continuation of the regular branch. It predicts neither a universal minimum length, bounce, stable core, nor unique interior, and it does not prevent a one-way horizon.

04
New companion · microscopic coefficientv0.4 · 11 September 2026

Static Transverse-Traceless Stress Susceptibility of the High-Temperature Standard Model through Second Order in the Couplings

The central static matter calculation is isolated as a stand-alone field-theory result, independent of any measured gravitational normalization.

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Question

Does the high-temperature Standard Model possess a finite, renormalized local TT metric stiffness after every connected contribution, contact term, effective-theory sector, and matching scale is treated consistently?

Approach

Calculate the thermal-minus-vacuum equilibrium Hessian through second order using the top-Yukawa truncation. Combine the free, ring, five hard two-loop, Higgs, electric, local-curvature, and magnetostatic sectors.

Main result

A₂,E/Θ² = 0.260056206678 + 0.066624158194 ξH + 0.002999279576 c3NP + 0.000799379974 c2NP.

The poles and matching-scale dependence close, and the remaining nonperturbative content is reduced to two defined lattice observables.

Boundary

The two pure three-dimensional Yang-Mills responses have not yet been measured on the specified lattice construction. The result is a state increment, not the absolute reference-state gravitational stiffness.

05
New companion · constitutive bridgev0.3 · 12 September 2026

Operational Quantum Gravity from a Standard Model Stress Hessian to Einstein-Equivalent WTDiff Dynamics

The exact bridge from the calculated TT Hessian to a healthy local infrared gravitational representation is stated and normalized independently.

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Question

Once the matter Hessian is known, does its physical TT block admit a massless two-helicity, scalar-free, fixed-measure infrared completion with Einstein-equivalent equations?

Approach

Remove the equilibrium zero-derivative block, invert the remaining physical kernel, impose the causal massless branch, evaluate the same real shear source in the matter and WTDiff quadratic actions, and fix their normalization.

Main result

The source normalization gives CW = 2A₂,Etotal and A₂,Etotal = ℏc⁵/(32πG). Equivalently, G/c⁴ = ℏc/(32πA₂,Etotal). Variation gives the trace-free Einstein equation; conservation and the contracted Bianchi identity restore the trace with a cosmological integration datum.

Boundary

The static Hessian does not uniquely choose an off-shell gauge representation; WTDiff follows from the stated OQG fixed-measure condition. The thermal subtraction fixes a state increment, while the total reference-state intercept remains open.

06
New companion · all-orders theoremv0.3 · 12 September 2026

Operational Quantum Gravity Prevents the Vacuum Catastrophe: A Full Response-Level Theorem for Homogeneous Vacuum Shifts

A homogeneous change in the arbitrary zero of Standard-Model energy is proven invisible to the complete normalized OQG response hierarchy.

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Question

Can an arbitrary field-independent homogeneous offset in the renormalized Standard-Model Lagrangian enter any local OQG gravitational response?

Approach

Define the matter action with a fixed volume measure and prove invariance of the normalized closed-time-path generating functional before differentiation, for independent forward and backward sources.

Main result

The projected mean stress, retarded and noise kernels, Ward/contact-completed Hessian, every higher response vertex, TT stiffness, compliance, WTDiff coefficient, and invariant Einstein source coefficient are unchanged. The proof precedes perturbation theory and therefore applies to all interaction orders when renormalization preserves the source definition.

Boundary

The theorem resolves the radiative local-source problem, not the separate global value problem. Vacuum polarization, fluctuations, boundaries, condensate differences, anomalies, phase transitions, and the invariant cosmological branch datum remain physical.

Supporting derivations

Two technical-appendix volumes

The appendices are counted separately because they carry the normalization proofs, matching ledgers, causal continuation, state bookkeeping, and reproducibility-level checks behind the main papers.

Technical Appendices A–H · v3.1

Foundation supplementary research material

Closed-time-path normalization and constitutive inversion; Ward/contact completion; hard, electric, Higgs, and local-curvature matching; finite-frequency continuation; retarded-sheet analysis; nonperturbative reduction; and cross-state consistency.

Read appendix volume ↗
Technical Appendices A–C · v0.3

OQG in Practice companion calculations

Interface and normalization checks; spectral stiffness and nested state baselines; complete-body mass; loading, clocks, rulers, causal unloading, signal protocols, and special-relativistic comparisons; plus the cosmological reconstruction and transfer tests.

Read appendix volume ↗

Program-level synthesis

What the six papers establish—and what remains

The distinction between a derived result and an unfinished closure calculation is kept visible throughout.

Research layerResult reported in the papersCurrent boundary
Microscopic stiffnessA finite, contact-completed high-temperature Standard-Model TT susceptibility closes through second order in the couplings.Two defined pure-Yang-Mills lattice coefficients and the declared Higgs-curvature coupling complete the state-specific value.
Infrared gravityThe physical inverse response has a massless long-range branch. Under the stated causal and fixed-measure conditions, WTDiff supplies an Einstein-equivalent two-helicity completion.The thermal-minus-vacuum calculation determines an increment; the reference-state intercept and higher nonlinear stress vertices remain to be fixed.
Vacuum energyA homogeneous identity shift cannot enter the normalized response hierarchy, preventing the radiative local-source vacuum catastrophe.The invariant global cosmological datum is not selected by that theorem.
Equivalence & standardsComplete-body conservation and matched tensor loading connect inertial, passive, and source response while keeping clocks, rulers, signals, and unloading as physical protocols.Construction-specific material kernels are required for precision laboratory predictions.
CosmologyA chronometer-fitted evolving-standard response transfers to six DESI DR2 Alcock–Paczyński measurements without refitting on the zero-Dark-Energy branch.The effective relaxation law still requires a microscopic Standard-Model entropy-production derivation and broader frozen-parameter tests.
Black-hole centerExactly zero material extension is not a regular normal quantum state and is unreachable by finite integrable loading on the continued canonical branch.The theorem does not determine the collapse equation of state, horizon physics, bounce, radius, or interior configuration.
Engineered controlThe completed audit finds real but extremely small local responses and sharply distinguishes local state change from a universal inherited exterior field.No tested electromagnetic, matter-preparation, torsion, or finite-range spin-two controller reaches practical force or power levels.

Secondary engineering program

Gravity-control research remains visible—without defining OQG

The earlier explorer is preserved as a separate engineering audit. It compares the tested control routes by predicted force, stored energy, sustaining power, coupling, range, and shortfall from one Earth gravity. The outcome is a practical boundary on the controllers tested, not the headline result of the six-paper theory program.

Open the interactive audit BC-1 through BC-2L · validated SI reference cases
TJD

Author

Todd J. Desiato

Independent researcher and engineer in Statesville, North Carolina. The OQG program applies an engineering response-and-compliance viewpoint to quantum matter, gravitation, and the physical standards used to measure both.

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