Special Relativity Calculator (Lorentz Factor)

This calculator allows you to compute the Lorentz factor, a key component in Einstein's theory of special relativity. It's designed for physics students, educators, and enthusiasts to explore relativistic effects at high speeds.

Lorentz Factor Calculator

Results

Lorentz Factor (γ): N/A

Data Source and Methodology

All calculations are based on the principles set forth in Albert Einstein's theory of special relativity. For detailed information, see: Special Relativity by A. Einstein. All calculations are rigorously based on formulas and data from this source.

The Formula Explained

\[ \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \]

Glossary of Variables

How It Works: A Step-by-Step Example

For a velocity of 100,000 m/s, using the speed of light as 299,792,458 m/s, the Lorentz factor is calculated as follows:

\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}} \]

Resulting in a Lorentz factor of approximately 1.0000005.

Frequently Asked Questions (FAQ)

What is the Lorentz Factor?

The Lorentz factor quantifies the effects of time dilation, length contraction, and relativistic mass increase in special relativity.

Why is the speed of light constant?

According to Einstein's theory, the speed of light in a vacuum is a universal constant and the maximum speed at which information can travel.

Can any object travel at the speed of light?

No, according to our current understanding of physics, only massless particles such as photons can travel at the speed of light.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\]
\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}
Formula (extracted LaTeX)
\[\gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}}\]
\gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}}
Formula (extracted text)
\[ \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \]
Formula (extracted text)
\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}} \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
, ', svg: { fontCache: 'global' } };

Special Relativity Calculator (Lorentz Factor)

This calculator allows you to compute the Lorentz factor, a key component in Einstein's theory of special relativity. It's designed for physics students, educators, and enthusiasts to explore relativistic effects at high speeds.

Lorentz Factor Calculator

Results

Lorentz Factor (γ): N/A

Data Source and Methodology

All calculations are based on the principles set forth in Albert Einstein's theory of special relativity. For detailed information, see: Special Relativity by A. Einstein. All calculations are rigorously based on formulas and data from this source.

The Formula Explained

\[ \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \]

Glossary of Variables

How It Works: A Step-by-Step Example

For a velocity of 100,000 m/s, using the speed of light as 299,792,458 m/s, the Lorentz factor is calculated as follows:

\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}} \]

Resulting in a Lorentz factor of approximately 1.0000005.

Frequently Asked Questions (FAQ)

What is the Lorentz Factor?

The Lorentz factor quantifies the effects of time dilation, length contraction, and relativistic mass increase in special relativity.

Why is the speed of light constant?

According to Einstein's theory, the speed of light in a vacuum is a universal constant and the maximum speed at which information can travel.

Can any object travel at the speed of light?

No, according to our current understanding of physics, only massless particles such as photons can travel at the speed of light.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\]
\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}
Formula (extracted LaTeX)
\[\gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}}\]
\gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}}
Formula (extracted text)
\[ \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \]
Formula (extracted text)
\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}} \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn
]], displayMath: [['\\[','\\]']] }, svg: { fontCache: 'global' } };, svg: { fontCache: 'global' } };

Special Relativity Calculator (Lorentz Factor)

This calculator allows you to compute the Lorentz factor, a key component in Einstein's theory of special relativity. It's designed for physics students, educators, and enthusiasts to explore relativistic effects at high speeds.

Lorentz Factor Calculator

Results

Lorentz Factor (γ): N/A

Data Source and Methodology

All calculations are based on the principles set forth in Albert Einstein's theory of special relativity. For detailed information, see: Special Relativity by A. Einstein. All calculations are rigorously based on formulas and data from this source.

The Formula Explained

\[ \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \]

Glossary of Variables

How It Works: A Step-by-Step Example

For a velocity of 100,000 m/s, using the speed of light as 299,792,458 m/s, the Lorentz factor is calculated as follows:

\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}} \]

Resulting in a Lorentz factor of approximately 1.0000005.

Frequently Asked Questions (FAQ)

What is the Lorentz Factor?

The Lorentz factor quantifies the effects of time dilation, length contraction, and relativistic mass increase in special relativity.

Why is the speed of light constant?

According to Einstein's theory, the speed of light in a vacuum is a universal constant and the maximum speed at which information can travel.

Can any object travel at the speed of light?

No, according to our current understanding of physics, only massless particles such as photons can travel at the speed of light.


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted LaTeX)
\[\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}\]
\gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}}
Formula (extracted LaTeX)
\[\gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}}\]
\gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}}
Formula (extracted text)
\[ \gamma = \frac{1}{\sqrt{1 - \frac{v^2}{c^2}}} \]
Formula (extracted text)
\[ \gamma = \frac{1}{\sqrt{1 - \left(\frac{100,000}{299,792,458}\right)^2}} \]
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
Profile · LinkedIn