QuantumLinear

An academic, public-facing index to frontier work in quantum gravity, time density, and cosmology.

Series papers

Click a title to expand a concise abstract-style summary. Linked items are published papers or public preprints; unlinked items are under review, preprint pending, or forthcoming.

1 Universum Probabile Altera Published Read

The opening paper of the framework: an alternate, statistically probable cosmological picture in which matter creation, temporal compression, and wave-to-particle emergence are treated across aeon-scale dynamics.
2 Beyond the Causal Diamond: A Probabilistic Model of Cyclical Quantum Gravity Published Read

Develops a finite-yet-expansive multiverse model with overlapping causal domains and long-cycle matter recycling. Refines spontaneous emergence into Chrono-Emergence over aeon-scale cosmological intervals.
3 Quantum Mechanics of the Timeon Field: Algebraic and Symplectic Framework for Quantum Gravity Published Read

Establishes an operator-level foundation for the Timeon field, including algebraic structure, symplectic mechanics, and the mathematical machinery required to support the earlier cosmological claims.
4 Dense Time Quantum Mechanics: Physics of the Dense-Time Collective Partner State In Review

Develops the dense-time treatment of black-hole interiors, including the Dense-Time Collective Partner State and the algebraic structure of the dense-time phase.
5 Algebraic Chrono-Dynamics: Stratified Covariant Phase Space and Boundary Algebra In Review Preprint

Formulates chrono-dynamics through stratified covariant phase space and boundary algebra, providing a mathematical spine for phase suppression and boundary behavior in the Timeon framework.
6 Global Stratified Reduction and Boundary Cohomology for Phase-Suppressed Covariant Field Theory In Review

Companion volume to Paper 5. Extends the stratified covariant phase space to a global reduction with full boundary cohomology, isolating the phase-suppressed regime as a self-contained algebraic structure.
7 General Relativity as the Einstein Limit of Time-Density Preprint Pending

Derives general relativity as an effective Einstein-limit sector of time-density field theory. Includes a disformal-metric construction with PPN compliance (β = γ = 1) and Yukawa screening of the scalar fifth-force.
8 Fermionic Timeon Coupling and the Topological Origin of the Lepton Coming Soon

Introduces fermionic structure into the series. Treats the lepton as a phase vortex of the Timeon field, with spin-1/2 emerging from Hopf-fibration topology and Finkelstein–Rubinstein exchange statistics.
9 Emergent Gauge Structure: Timeon Elastodynamics and Electroweak Unification Coming Soon

Develops gauge structure from elastodynamic modes of the Timeon vacuum: U(1) as phase shear, SU(2) as core compression, and an associated route toward electroweak unification.
10 Quarks, Hadrons, and Nuclear Physics from Timeon Internal Modes Coming Soon

Explores quark, hadron, and nuclear physics through dielectric Timeon cavities. SU(3) is modeled through eight trace-free shear modes of the cavity wall, with confinement expressed through quantum evanescence across the QCD mass gap.
11 Neutrinos, Flavor, Mixing, and Oscillation Phenomenology Coming Soon

Treats the neutrino sector as phaseless shear dislocations of the Timeon lattice with Peierls–Nabarro friction, deriving flavor mixing and oscillation phenomenology from the same geometric structure.
12 Algebraic Consolidation of UCD: Canonical Quantization, RG Flow, and Spin-Statistics Coming Soon

Consolidates the algebraic architecture of the framework: canonical quantization of the Timeon field, one-loop RG flow, and a spin-statistics derivation from Timeon topology.
13 The Grand Consistency Check: Precision Tests, Fundamental Constants, and Falsifiable Predictions Coming Soon

Synthesizes precision-facing consequences of the framework: fundamental constants as rheological properties of the Timeon lattice, the muon g−2 anomaly, the Hubble tension, and falsifiable predictions distinguishing UCD from GR and standard scalar-tensor theory.
14 Primordial Fluctuations from Chrono-Shear: The CMB Power Spectrum in Timeon Elastodynamics Coming Soon

Develops cosmological perturbation theory in the UCD background. The primordial power spectrum P(k) is modeled from chrono-shear fluctuations during the genesis epoch and compared with Planck 2018, Simons Observatory, and CMB-S4 sensitivity regimes.
15 Numerical Chrono-Dynamics: 3+1 Evolution of the Disformal Metric and Binary CQM Mergers Coming Soon

Develops the ADM formulation of the disformal metric and numerical-relativity evolution of binary Chrono-Quantum Mirror mergers, including waveform predictions, deviations from GR, and SNR thresholds for LISA, Cosmic Explorer, and the Einstein Telescope.
16 Stable Topological Reconfigurations and the Crystallographic Origin of the Three Generations of Matter Coming Soon

Proposes a geometric route to the three-generation problem: stable topological reconfigurations of the Timeon field indexed by configuration order n = 1, 2, 3. Mass hierarchy and CKM mixing are modeled through elastic energy and geometric overlap.
17 Semiclassical Timeon Gravity: Bogoliubov Transformations and Unitarity at the CQM Coming Soon

Completes the arc with a semiclassical S-matrix treatment of the Timeon field across the Chrono-Quantum Mirror, including Bogoliubov coefficients, Hawking-temperature recovery, outgoing density-matrix unitarity, and sub-thermal UCD-specific deviations at energies E ~ m_sc².
18 The Dense-Time Flashlight: Photon Destiny and Phase-Suppressed Radiation Inside a Black-Hole Boundary Coming Soon

Introduces the Dense-Time Flashlight thought experiment: an idealized electromagnetic excitation is released inside a black-hole dense-time boundary to examine whether it remains an ordinary photon-like propagating mode, becomes asymptotically non-observable, or is internalized into the Dense-Time Collective Partner State.
19 Radiative Quenching at the Dense-Time Phase Boundary: Blackbody Extinction at the Classical Event Horizon Coming Soon

Develops the blackbody-extinction thought experiment: a thermally radiating object approaches the dense-time phase boundary and undergoes apparent radiative quenching, separating local internal energy from externally supported blackbody radiation at the classical event horizon.
20 Chrono-Emergence and the Probabilistic Origin of Vacuum Spacetime Coming Soon

Presents the Chrono-Emergence capstone: a probabilistic theory in which ordinary vacuum spacetime emerges over extreme durations, then relaxes into an atomic time-density state capable of supporting stable vacuum reconfigurations interpreted as matter.

Paper series companion

The twenty-paper arc is designed to consolidate into a single graduate-level reference for the framework.

Architecting Quantum Gravity: Mathematics of the Timeon Field In Development

A graduate-level textbook synthesizing the full twenty-paper series into a single rigorous reference: from the operational definition of time density through the disformal recovery of General Relativity, the algebraic foundations of the Chrono-Quantum Mirror, and the geometric taxonomy of matter as stable topological reconfigurations of the Timeon vacuum. Intended for advanced students and researchers in mathematical physics, quantum gravity, and theoretical cosmology.