# The Thermodynamical Arrow and the Historical Arrow; Are They Equivalent?

## Abstract

**:**

## 1. Introduction

## 2. Historical Background

**The**

**Thermodynamic Arrow:**

**The**

**Psychological Arrow:**

**The**

**Historical Arrow:**

## 3. Conceptual Problems

**The**

**Historical Arrow:**

## 4. The Combinatorial Multiverse

**Remark**

**1.**

**Definition**

**1.**

**Definition**

**2.**

## 5. The Strong Arrows of Time in the Combinatorial Multiverse

**The**

**Strong Thermodynamic Arrow:**

**The**

**Strong Historical Arrow:**

## 6. The Weak Arrows of Time in the Combinatorial Multiverse

**The**

**Weak Thermodynamic Arrow:**

**The**

**Weak Historical Arrow:**

## 7. Symmetric Boltzmann Dynamics

**The**

**Symmetric Dynamic Principle (SDP):**

**Remark**

**2.**

**Observation**

**1.**

## 8. The Weak Arrows in the Combinatorial Multiverse

**Claim**

**1.**

**Claim**

**2.**

## 9. Discussion

**Remark**

**3.**

## 10. The Origin of Time’s Arrow in the Multiverse

## 11. Final Remark

## Conflicts of Interest

## References

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**Figure 1.**This picture illustrates Observation 1 with $W=9$ and $K=3$. The state P at time ${t}_{0}$ with entropy $S=1$ connects to 3 states with $S=2$ at time ${t}_{0}-1$ and equally many at time ${t}_{0}+1$. However, there is no edge connecting to the (in this case) unique state with $S=0$ at time ${t}_{0}-1$ and only one edge connecting to the unique state with $S=0$ at time ${t}_{0}+1$.

**Figure 2.**A schematic picture of the entropy as a function of time for four different universes in a small combinatorial multiverse. The blue graphs represent the highly probable asymmetric cases, whereas the red ones represent highly improbable cases with low entropy at both ends.

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**MDPI and ACS Style**

Tamm, M. The Thermodynamical Arrow and the Historical Arrow; Are They Equivalent? *Entropy* **2017**, *19*, 455.
https://doi.org/10.3390/e19090455

**AMA Style**

Tamm M. The Thermodynamical Arrow and the Historical Arrow; Are They Equivalent? *Entropy*. 2017; 19(9):455.
https://doi.org/10.3390/e19090455

**Chicago/Turabian Style**

Tamm, Martin. 2017. "The Thermodynamical Arrow and the Historical Arrow; Are They Equivalent?" *Entropy* 19, no. 9: 455.
https://doi.org/10.3390/e19090455