#
A Consistent Theory of Tachyons with Interesting Physics for Neutrinos^{ †}

^{†}

## Abstract

**:**

## 1. Introduction

**Definition**

**1.**

**Definition**

**2.**

## 2. If Neutrinos Are Tachyons, We May Explain Dark Energy and Dark Matter

#### 2.1. OPERA

#### 2.2. Classical Tachyons

#### 2.3. Negative Energy States

#### 2.4. Energy–Momentum Tensor I (DM)

#### 2.5. Energy–Momentum Tensor II (DE)

**this negative pressure that is within a factor of two of explaining what is commonly called Dark Energy.**

Thus far, considering cosmic neutrinos as tachyons in General Relativity:

ACT I—this may explain Dark Matter alternatively,

ACT II—this may explain Dark Energy … waiting for Act III.

#### 2.6. Quantized Dirac Tachyon Field

**Thus we see the possibility to explain both Dark Matter and Dark Energy with the proposition that Cosmic Background Neutrinos are tachyons, with a mass in the neighborhood of 0.1 eV/c${}^{2}$.**

#### 2.7. Future Work

#### More Work That Needs to Be Done

Questions about previous results/claims

* Should chirality, rather than helicity, define particle vs. anti-particle for tachyons?

* Is ${k}^{2}\phantom{\rule{0.277778em}{0ex}}d\omega \phantom{\rule{0.277778em}{0ex}}{d}^{2}\widehat{k}$ the correct density of states formula for tachyons?

* Can we show that gravity works to localize tachyon streams?

New areas to be explored

* Fitting of tachyon neutrinos into the Standard Model of particles.

* Mass mixing for tachyon neutrinos

* Revise Standard Cosmology Theory for tachyon neutrinos (many sub-topics)

* New experiments to detect low energy tachyon neutrinos

Summary of Cosmology results—Scaling of Energy and Pressure Components

Radiation: $\rho \sim \phantom{\rule{0.277778em}{0ex}}{a}^{-4},\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}p\sim \phantom{\rule{0.277778em}{0ex}}$${a}^{-4}$

Cold Matter: $\rho \sim \phantom{\rule{0.277778em}{0ex}}{a}^{-3},\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}p\sim \phantom{\rule{0.277778em}{0ex}}0$

Cosmo Const: $\rho \sim \phantom{\rule{0.277778em}{0ex}}{a}^{0},\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}p\sim \phantom{\rule{0.277778em}{0ex}}{a}^{0}$

Cold Tachyon Neutrinos: $\rho \sim \phantom{\rule{0.277778em}{0ex}}0,\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}p\sim \phantom{\rule{0.277778em}{0ex}}{a}^{-1.5}\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}$ or $\phantom{\rule{0.277778em}{0ex}}\phantom{\rule{0.277778em}{0ex}}p\sim \phantom{\rule{0.277778em}{0ex}}{a}^{-2}$

Something we can check now?

If low energy tachyon neutrinos cause Dark Matter effects, those effects should be lessened in the past when their Temperature was near or above 0.1 eV. Are there data on Dark Matter effects as a function of z?

“For every complex problem there is a simple solution. And it’s always wrong.”—H. L. Mencken

## 3. Debunking the Anti-Tachyon Myths

The phrase “send a signal into the past” is utter nonsense. Said more professionally, this phrase is an oxymoron, meaning that it is self-contradictory in terms of the language used.

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Acknowledgments

## Conflicts of Interest

## References

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**MDPI and ACS Style**

Schwartz, C.
A Consistent Theory of Tachyons with Interesting Physics for Neutrinos. *Symmetry* **2022**, *14*, 1172.
https://doi.org/10.3390/sym14061172

**AMA Style**

Schwartz C.
A Consistent Theory of Tachyons with Interesting Physics for Neutrinos. *Symmetry*. 2022; 14(6):1172.
https://doi.org/10.3390/sym14061172

**Chicago/Turabian Style**

Schwartz, Charles.
2022. "A Consistent Theory of Tachyons with Interesting Physics for Neutrinos" *Symmetry* 14, no. 6: 1172.
https://doi.org/10.3390/sym14061172