Candidate collapse-noise correlators from Generalized Trace Dynamics: a Hubble-scale spectral line under structural assumptions
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914612367065088 |
|---|---|
| author | Singh, Tejinder P. |
| author_facet | Singh, Tejinder P. |
| contents | We present a conditional construction of candidate CSL-type collapse-noise correlators inspired by Generalized Trace Dynamics (GTD). The construction is not a parameter-free derivation from the minimal GTD Grassmann algebra. It rests on a chain of explicit structural postulates, listed in Section 1; within that auxiliary structure the spectral form and amplitude follow by computation rather than by phenomenological fitting. The resulting narrow-band spectrum at the Hubble scale lies outside the bands of current CSL bounds, so the framework is not in tension with existing high-frequency data.
We compute the two-point function of a candidate collapse-noise operator associated with the GTD aikyon decomposition $q_i = q_B + a_0β_i q_F$. In the minimal Grassmann algebra, $q_F$ appears only multiplied by Grassmann generators $β_i$, the reduction of $\mathrm{Tr}(q_F^\daggerΓ^μq_F)$ to ghost-mode operators is obstructed by the nilpotent $δβ= β_2 - β_1$, and the pure-fermion coefficient $β_1β_2$ has no ordinary sign, modulus, or inverse. We therefore introduce an auxiliary canonical fermionic Fock-space sector for $q_F$, equivalently replacing the nilpotent pure-fermion coefficient by an ordinary effective scalar body parameter. This replacement is an independent structural postulate, not a consequence of the original minimal action.
Under this auxiliary postulate, together with a scalar bilinear $J = \mathrm{Tr}(q_F^\dagger q_F)$ as bath operator, positive-norm canonical quantization, and an effective sign choice $σ= \pm1$ for the scalarized pure-fermion sector, elementary Wick contraction gives a Wightman line at $|ω| = 2ω_0$ with amplitude $A_J = (\hbar/2m_Rω_0 L_{\mathrm{aik}}^2)^2\cdot N\cdot D$. The cosmological identification $ω_0 \sim H_0$ places the line at twice the Hubble scale. [truncated] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_29374 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Candidate collapse-noise correlators from Generalized Trace Dynamics: a Hubble-scale spectral line under structural assumptions Singh, Tejinder P. Quantum Physics We present a conditional construction of candidate CSL-type collapse-noise correlators inspired by Generalized Trace Dynamics (GTD). The construction is not a parameter-free derivation from the minimal GTD Grassmann algebra. It rests on a chain of explicit structural postulates, listed in Section 1; within that auxiliary structure the spectral form and amplitude follow by computation rather than by phenomenological fitting. The resulting narrow-band spectrum at the Hubble scale lies outside the bands of current CSL bounds, so the framework is not in tension with existing high-frequency data. We compute the two-point function of a candidate collapse-noise operator associated with the GTD aikyon decomposition $q_i = q_B + a_0β_i q_F$. In the minimal Grassmann algebra, $q_F$ appears only multiplied by Grassmann generators $β_i$, the reduction of $\mathrm{Tr}(q_F^\daggerΓ^μq_F)$ to ghost-mode operators is obstructed by the nilpotent $δβ= β_2 - β_1$, and the pure-fermion coefficient $β_1β_2$ has no ordinary sign, modulus, or inverse. We therefore introduce an auxiliary canonical fermionic Fock-space sector for $q_F$, equivalently replacing the nilpotent pure-fermion coefficient by an ordinary effective scalar body parameter. This replacement is an independent structural postulate, not a consequence of the original minimal action. Under this auxiliary postulate, together with a scalar bilinear $J = \mathrm{Tr}(q_F^\dagger q_F)$ as bath operator, positive-norm canonical quantization, and an effective sign choice $σ= \pm1$ for the scalarized pure-fermion sector, elementary Wick contraction gives a Wightman line at $|ω| = 2ω_0$ with amplitude $A_J = (\hbar/2m_Rω_0 L_{\mathrm{aik}}^2)^2\cdot N\cdot D$. The cosmological identification $ω_0 \sim H_0$ places the line at twice the Hubble scale. [truncated] |
| title | Candidate collapse-noise correlators from Generalized Trace Dynamics: a Hubble-scale spectral line under structural assumptions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.29374 |