New Published in Monthly Notices of the Royal Astronomical SocietyNow published in MNRAS

Private equity  ·  M&A  ·  Physics

Gary Alcock

I’ve spent nearly 20 years sourcing and executing deals for private equity firms and corporate buyers. I’m also an independent physicist, and my astrophysics research on galaxies is now published in MNRAS.

Peer-reviewed Open access Published 7 Sept 2026

Monthly Notices of the Royal Astronomical Society

Vol. 551, Issue 4  ·  stag1485  ·  doi:10.1093/mnras/stag1485

Is the acceleration scale of the radial acceleration relation tracking the cosmic expansion rate?

Stars in the outskirts of galaxies orbit faster than their visible matter can explain. The effect kicks in below a tiny acceleration called a0, and a0 sits suspiciously close to the speed of light times the expansion rate of the universe.

If that’s no coincidence, a0 should have been larger in the past. This paper tests the idea directly, using galaxies seen as they were up to about 9 billion years ago.

It’s a model-independent astrophysics paper, and it stands on its own. It is separate from my work on Density Field Dynamics, whose papers are preprints.

5.3σ
Constant a0 excluded, using the published bin errors
2.1σ
Consistent with a0 tracking the expansion rate H(z)
0.78 ± 0.15
Growth exponent γ in a0 ∝ (1+z)γ
Read the paper

Alcock, G. T. (2026). Is the acceleration scale of the radial acceleration relation tracking the cosmic expansion rate? Monthly Notices of the Royal Astronomical Society, 551(4), stag1485. https://doi.org/10.1093/mnras/stag1485

The acceleration scale a0 rises with redshift

MUSE-DARK bins compared with three scalings. Model amplitudes are fitted to the four bins.

  • MUSE-DARK bins
  • SPARC, today
  • a0 ∝ H(z)
  • Constant a0
  • a0 ∝ (1+z)1.5
Data table
Acceleration scale a0 by redshift, in units of 10^-10 m s^-2
Sampleza0Error
SPARC (local)01.20±0.02 stat, ±0.24 sys
MUSE-DARK bin 10.5031.990−0.085 / +0.086
MUSE-DARK bin 20.8252.200±0.105
MUSE-DARK bin 31.0472.571−0.114 / +0.110
MUSE-DARK bin 41.2762.710−0.134 / +0.138

Units of 10−10 m s−2. Bins from Ciocan et al. (2026) as analysed in the paper; SPARC value from McGaugh, Lelli & Schombert (2016).

What I do

Two fields, one habit of mind.

Deals and physics reward the same things. You have to see the pattern early, price the risk honestly, and test the idea against reality before you bet on it.

Private equity & advisory

Real businesses, hard situations.

I work on deals where sourcing, execution, and practical operating judgment matter as much as capital. That usually means carve-outs, multi-plant separations, and assets that need hands-on work.

  • GTA CompaniesDeal flow & advisory
  • Revolution Capital GroupFormer Managing Director
  • Liberty Bay CapitalFormer Managing Director
  • Houlihan LokeyM&A advisory
  • Industrials
  • Manufacturing
  • Distribution
  • Aerospace & defense
  • Media
  • Technology
  • Healthcare
  • Business services
  • Consumer

Physics research

Gravity as a refractive medium.

Density Field Dynamics replaces curved spacetime with a single field, ψ, on flat space. The same field sets how fast light travels and how matter falls. It matches the standard weak-field tests of General Relativity, and it is built to be checked against data.

n = eψ

Light slows where ψ is high. The refractive index of empty space is set by ψ, so light bends around mass.

a = ½c²∇ψ

Matter falls toward higher ψ. The same field that bends light also sets the acceleration of a falling body.

Writing

Two books in progress.

In development

Skip the MBA, Own the Company

A book about treating ownership as the goal instead of job titles and degrees. It covers carve-outs, small acquisitions, and leverage in the lower middle market.

In development

The Lazy Universe

Density Field Dynamics for a general audience. It strips the theory to its essential ideas and explains, in plain English, why clocks and gravity matter to everyone.

More on writing

Let’s talk.

I’m glad to hear from sponsors with a mandate, researchers with a dataset, and anyone working where finance and physics overlap.