TITLE:
Dense Time Quantum Mechanics: Physics of the Dense-Time Collective Partner State
AUTHORS:
George Davey
KEYWORDS:
Dense Time Quantum Mechanics, Dense-Time Collective Partner State (DT-CPS), Black Hole Interiors, Hamiltonian Constraint, Chrono-Pressure, Chrono-Shear Event, Gravitational-Wave Observables
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.12 No.3,
July
13,
2026
ABSTRACT: We construct the quantum-mechanical foundation of the Dense-Time Collective Partner State (DT-CPS), the interior state of black holes in which the time-density field forms and wave-supported temporal phase coherence becomes nearly unsupported and redshifted. Ordinary matter, previously described as stabilized Baryon Partner States, undergoes a phase transition under extreme gravitational dwell time into this collective dense-time state, further compacting stable structural configurations while preserving mass-energy. Unlike conventional quantum systems, the DT-CPS represents a redshift-saturated quantum phase whose interior sector obeys a Hamiltonian constraint
ℋ
^
DT
|Ψ〉≈0
in place of Schrödinger time evolution, and supports no ordinary finite-frequency radiative propagating sector; any residual collective modes are asymptotically redshifted and effectively frozen on exterior timescales. Quantum mechanics survives in this regime as a constraint theory: states are defined by conserved deformation energy, global ordering relations, and boundary conditions rather than by time-parametrized dynamics. This paper establishes the appropriate Hilbert space, observables, and state structure for dense-time physics, forming the basis for a complete constraint-based quantum theory of black hole interiors. We derive the mass scaling of the latent chrono-pressure, identify the geometric trigger
r
Σ
(
M
crit
)=
r
domain
as the cause of the Chrono-Shear Event, and show that the Zeldovich stiff-fluid equation of state (
w
DT
=1
) is the unique value consistent with both the DT-CPS constraint structure and the assumption that all accreted energy is stored as latent chrono-pressure. The critical mass
M
crit
=
c
2
r
domain
/
(
2G
)
≈3×
10
53
kg is fixed by the geometry of the parent domain and fundamental constants alone. Seven observational consequences are identified, six of which are stated as direct falsification criteria—including the absence of post-merger gravitational-wave echoes, the ringdown window
t
relax
=
κGM/
c
3
with
κ∈[
10,20 ]
, and the tidal-deformability constraint
w
DT
≈1
—each independently falsifiable by existing or near-term gravitational-wave data. Three closing functions (
V
eff
(
t
^
)
,
σ(
t
^
)
, and
Z
t
(
t
^
)
) remain to be determined from a microscopic theory; their derivation would render all predictions fully quantitative.