Quantum-QTHEORETICAL PHYSICS RESEARCH

Quantum-Q / Research archive

The papers.
The full reasoning.

Explore the Quantum Lattice Model through its original papers. Each entry includes a summary, key identities, revision information, and the complete PDF.

Quinton R. D. Tharp Quantum-Q LLC 7 papers

QLM ICanon / Foundation

QLM I: Reduced-Action Foundations and Planck-Unit Derivations

Published December 4, 2025Updated June 14, 2026

The foundational QLM paper establishing the per-radian primitive triplet {ℏ, ℓP, tP}, the covariant phase-flow law, the saturated Planck tick, and the reduced-action derivation of Planck-unit quantities.

KEY IDENTITIES

  • E = ℏ dθ/dτ
  • c = ℓP/tP
  • EP = ℏ/tP
  • mP = ℏtP/ℓP^2
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QLM IICanon-Compatible Extension

QLM II: Planck Energy Density Cap and Minimal Saturated-Core Completion

Published December 26, 2025Updated June 14, 2026

Develops the QLM local Planck energy-density cap and applies it to a minimal non-singular saturated-core completion for gravitational collapse.

KEY IDENTITIES

  • uP = ℏ/(ℓP^3 tP)
  • ρmax = mP/ℓP^3
  • Rc(M) = (3M / 4πmP)^(1/3) ℓP
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QLM IIICanon / Kinematics

QLM III: Invariant Transport and Lorentz Kinematics from Proper Ticks

Published February 23, 2026Updated June 24, 2026

Reconstructs Lorentz kinematics from invariant lattice transport, proper-tick accumulation, radar synchronization, and QLM phase-gradient relations, then connects invariant rest-phase energy to inertial response through the derived boost structure.

KEY IDENTITIES

  • c = ℓP/tP
  • E/p = c
  • E^2 - (pc)^2 = (mc^2)^2
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QLM IVConsistent Extension

QLM IV: Geometric Routing and Gravitational Throttling

Published February 25, 2026Updated June 14, 2026

Develops the exterior routing-admittance sector of QLM, interpreting Schwarzschild redshift and gravitational throttling as geometric suppression of radial phase-action routing.

KEY IDENTITIES

  • Y(r) = 1 - 2(M/mP)(ℓP/r)
  • rs = 2(M/mP)ℓP
  • Zg(r) = Y(r)^-1/2
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QLM VCanon-Compatible Dynamics

QLM V: Quantum Phase Transport and Wave Dynamics

Published March 8, 2026Updated June 24, 2026

Develops the quantum dynamical layer of QLM, organizing Schrodinger, Klein-Gordon, and Dirac equations as continuum descriptions of coherent phase-action transport.

KEY IDENTITIES

  • dS = ℏ dθ
  • E = ℏω
  • J = (ℏ/m)ρ∇θ
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Companion papers / Focused investigations

Identity noteStandalone Identity Note

The Planck Energy Identity in the Quantum Lattice Model

Published March 24, 2026

A focused standalone derivation isolating the compact QLM Planck energy identity as saturated one-tick reduced-action throughput.

KEY IDENTITIES

  • EP = mP c^2 = ℏ/tP
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Closure extensionFocused Closure Extension

Mass as Temporal-Spatial Phase Closure

Published June 12, 2026Updated June 24, 2026

Develops rest mass as the inertial response of confined phase-action flow, treating E0 first as invariant rest-phase energy and then recovering the closure form m = ℏτ/r^2 under the QLM transport condition r = cτ.

KEY IDENTITIES

  • m = ℏτ/r^2
  • r = cτ
  • mc^2 = ℏω
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