🧵 1/9
Time is the only physical quantity with no quantum operator.
Position, momentum, energy — all have one. Time enters Schrödinger's equation as a classical parameter.
That gap has persisted for a century.
🧵 1/9
Time is the only physical quantity with no quantum operator.
Position, momentum, energy — all have one. Time enters Schrödinger's equation as a classical parameter.
That gap has persisted for a century.
7/9
Distinguishable from existing models:
Diósi–Penrose → spatial, m⁻¹
CSL → spatial, m⁻², free parameter
This work → temporal, m⁻², no free params
One experiment discriminates all three.
5/9
My contribution: connecting both results.
Temporal delta functions lie outside 𝒟(T̂) — mathematically ill-defined as chronon states.
The correct physical states are regularised Gaussians:
ψ̃(k) ∝ |k| exp[−(k−k₀)²/4σ²]
4/9
The Salecker–Wigner–Peres theorem adds the physics:
Any clock measuring Δt needs mass m ≥ ℏ/(c²Δt). Combined with gravitational collapse:
Δt ≥ t_P = 5.39×10⁻⁴⁴ s
Below Planck time, classical temporal definiteness breaks down.
3/9
Galapon (2002) built exactly that.
A maximally symmetric T̂ on a dense domain 𝒟(T̂) ⊊ ℋ — satisfying the canonical commutation relation without violating Pauli.
2/9
In 1933, Pauli proved no self-adjoint T̂ can satisfy [T̂, Ĥ] = iℏ if energy is bounded below.
For 90 years, that killed quantum time.
But Pauli only forbade global self-adjointness. Restricted physical domains are a different story.
@JMilei @MJ23_45_ Todo muy, todo muy lindo!. Te apoye querido presidente y aca estoy, sin poder acceder a miserable credito para capital de trabajo. Con brillantes ideas, pero respaldo cero!.
@ExoPlanetascom Desarrollé este tracker en vivo para el recorrido del Artemis II Por si lo quieres usar de referencia en tus informativos, adelante. Felices pascuas. Saludos.
https://t.co/tVr3KS97zO
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