The Summer Hill Journal Of New Physics

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Two Faces Of Zero
Introduction
What"s a Null?
Ordinals and Quantities
Maths with Zero
Completeness
Plancks Constant
The Infinities
Lorentz Factor
Lorentz Out of Scope
Zero and Relativity
Points in a Line
Field Theory
Methods of Proof
Conclusion
References
 
 
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Contents

The Two Faces Of Zero

December 2008, Revised March 2009

A look at zero in physics - it's not the same arithmetic that we learnt at school. 

• The Two Faces Of Zero
  • Abstract - there is more to zero than we think.
  • Introduction, our traditions and assumptions.

• What's a Null?
  • And how does it differ from integer zero?
  • Ordinal numbers and Quantities
  • Addition, Subtraction, Multiplication and Division with Zero

• Completeness versus Incompleteness
  • Planck's Variable
  • The Infinities
  • In Scope versus Out of Scope

• The Lorentz Factor and Relativity
  • Zero, The Lorentz Factor and Special Relativity
  • The Lorentz Factor goes "out of scope"
  • A Limit At The Speed Of Light?

• Points, Particles and Field Theory
  • Points in a line. Point Particles.
  • Field Theory and "lines of force"
  • No infinite density is possible.

• Finally
  • Methods of Proof
  • Conclusion
  • References